From f7b113208e5c21647641c04d2d01234ee7350f2b Mon Sep 17 00:00:00 2001 From: Phillip Alday Date: Tue, 19 Sep 2023 04:28:30 -0500 Subject: [PATCH] Built site for gh-pages --- .nojekyll | 2 +- AoGPlots.html | 78 +- about.html | 18 +- arrow.html | 56 +- bootstrap.html | 307 +- .../figure-html/cell-12-output-1.svg | 288 +- .../figure-html/cell-13-output-1.svg | 409 +- .../figure-html/cell-16-output-1.svg | 800 +- .../figure-html/cell-17-output-1.svg | 761 +- .../figure-html/cell-20-output-1.svg | 250 +- .../figure-html/cell-25-output-1.svg | 527 +- check_emotikon_transform.html | 20 +- contrasts_fggk21.html | 4009 ++++---- contrasts_kwdyz11.html | 653 +- fggk21.html | 1557 +-- .../fig-caterpillarcohort-output-1.svg | 918 +- .../fig-m1shrinkagecohort-output-1.svg | 1438 +-- .../fig-m2shrinkagecohort-output-1.svg | 1626 ++-- glmm.html | 172 +- index.html | 18 +- kb07.html | 130 +- .../fig-kbm02sampcorrdens-output-1.svg | 200 +- .../fig-kbm02sampsigmadens-output-1.svg | 191 +- kkl15.html | 3940 ++++++-- .../fig-betadensitym1-output-1.svg | 570 +- .../figure-html/fig-bsridgem1-output-1.svg | 2026 +++- .../fig-bxpltsubjcond-output-1.svg | 6 +- .../fig-bxpltsubjcond2-output-1.svg | 6 +- .../fig-caterpillarm1-output-1.svg | 5546 ++++++----- .../fig-caterpillarm1a-output-1.svg | 2015 ++-- .../fig-caterpillarm1l-output-1.svg | 8644 ++++++++++++----- .../fig-caterpillarm1la-output-1.svg | 2436 +++-- .../fig-corrdensitym1-output-1.svg | 619 +- .../fig-m1fittedresid-output-1.png | Bin 233265 -> 221202 bytes .../fig-m1fittedresid2-output-1.png | Bin 43765 -> 40895 bytes .../figure-html/fig-qqnormm1-output-1.png | Bin 23721 -> 23925 bytes .../figure-html/fig-qqnormm1_rt-output-1.png | Bin 23633 -> 23628 bytes .../fig-shrinkagem1_rt-output-1.svg | 3669 ++++--- .../fig-sigmadensitym1-output-1.svg | 280 +- .../fig-sigmasdensitym1-output-1.svg | 562 +- .../fig-stdresidm1dens-output-1.svg | 265 +- kwdyz11.html | 331 +- .../figure-html/cell-13-output-1.png | Bin 15483 -> 15492 bytes .../fig-m1caterpillar-output-1.png | Bin 89503 -> 89441 bytes .../figure-html/fig-m1corrdens-output-1.png | Bin 57585 -> 57581 bytes .../fig-m1fixedeffdens-output-1.png | Bin 41718 -> 41674 bytes .../figure-html/fig-m1shrinkage-output-1.png | Bin 173532 -> 173787 bytes .../fig-m1varcompdens-output-1.png | Bin 44412 -> 42168 bytes .../fig-residstddevdens-output-1.png | Bin 23267 -> 23429 bytes .../fig-resvsfittedhm-output-1.png | Bin 48536 -> 48512 bytes .../fig-resvsfittedm1-output-1.png | Bin 117452 -> 117634 bytes .../figure-html/fig-standresdens-output-1.png | Bin 32203 -> 32264 bytes largescaledesigned.html | 116 +- .../fig-itemreelm01vselm02-output-1.png | Bin 136927 -> 136931 bytes .../fig-ldtmedianrtvspropacc-output-1.svg | 296 +- .../fig-ldtrtvswrdlen-output-1.svg | 333 +- .../fig-ldtspeedvswrdlen-output-1.svg | 356 +- mrk17.html | 3456 +++++++ pkg.html | 24 +- profiling.html | 72 +- .../fig-kb07abszetabeta-output-1.svg | 328 +- .../fig-kb07abszetasigma-output-1.svg | 299 +- .../fig-kb07abszetatheta-output-1.svg | 261 +- .../fig-kb07bskdesigma-output-1.svg | 298 +- .../figure-html/fig-kb07densigma-output-1.svg | 515 +- .../figure-html/fig-kb07zetabeta-output-1.svg | 343 +- .../fig-kb07zetasigma-output-1.svg | 323 +- search.json | 485 +- selection.html | 18 +- shrinkageplot.html | 296 +- .../figure-html/cell-14-output-1.svg | 1382 +-- .../figure-html/cell-29-output-1.svg | 451 +- .../figure-html/fig-m1shrinkage-output-1.svg | 2044 ++-- .../figure-html/fig-m2shrinkage-output-1.svg | 240 +- .../figure-html/fig-ridgeplot-output-1.svg | 432 +- .../fig-ridgeplotnoint-output-1.svg | 445 +- singularity.html | 949 ++ site_libs/bootstrap/bootstrap-dark.min.css | 2 +- site_libs/bootstrap/bootstrap.min.css | 2 +- sitemap.xml | 58 +- sleepstudy.html | 211 +- .../fig-bsbetacontours-output-1.svg | 186 +- .../fig-bsbetadensity-output-1.svg | 372 +- .../fig-bssigmadensity-output-1.svg | 378 +- .../fig-correlationhist-output-1.svg | 240 +- .../figure-html/fig-m1shrinkage-output-1.svg | 276 +- ...g-reaction_vs_days_by_subject-output-1.svg | 3994 ++++---- sleepstudy_speed.html | 44 +- .../figure-html/fig-shrinkagem2-output-1.svg | 286 +- useful_packages.html | 18 +- 90 files changed, 39244 insertions(+), 25928 deletions(-) create mode 100644 mrk17.html create mode 100644 singularity.html diff --git a/.nojekyll b/.nojekyll index cc64b7d..15a7391 100644 --- a/.nojekyll +++ b/.nojekyll @@ -1 +1 @@ -a7633f8c \ No newline at end of file +078b2c30 \ No newline at end of file diff --git a/AoGPlots.html b/AoGPlots.html index 2fbcd5f..2a7d30b 100644 --- a/AoGPlots.html +++ b/AoGPlots.html @@ -7,7 +7,7 @@ - + SMLP2023: Advanced Frequentist Track - Creating multi-panel plots + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

RePsychLing Masson, Rabe, & Kliegl, 2017) with Julia: Specification and selection

+
+ + + +
+ +
+
Author
+
+

Phillip Alday, Douglas Bates, and Reinhold Kliegl

+
+
+ +
+
Published
+
+

2023-09-19

+
+
+ + +
+ + +
+ +
+

1 Setup

+

Packages we (might) use.

+
+
using CategoricalArrays
+using DataFrames
+using MixedModels
+using MixedModelsMakie
+using SMLP2023: dataset
+using Statistics: mean, std
+
+
+
dat = DataFrame(dataset(:mrk17_exp1))
+describe(dat)
+
+
9×7 DataFrame
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Rowvariablemeanminmedianmaxnmissingeltype
SymbolUnion…AnyUnion…AnyInt64DataType
1subjS01S730String
2itemACHEYEAR0String
3trial239.9582239.04800Int16
4FHFLF0String
5Prelunr0String
6Qclrdeg0String
7lQclrdeg0String
8lTNWWD0String
9rt647.173301601.029940Int16
+
+
+
+
+
+

2 Specification

+

This section covers the general terminology and advice for model specification.

+
+

2.1 Response, covariates, and factors

+

Linear mixed models (LMMs), like many other types of statistical models, describe a relationship between a response variable and covariates that have been measured or observed along with the response. The statistical model assumes that the residuals of the fitted response (i.e., not the responses) are normally – also identically and independently – distributed. This is the first assumption of normality in the LMM. It is standard practice that model residuals are inspected and, if serious skew is indicated, that the response is Box-Cox transformed (unless not justified for theoretical reasons) to fulfill this model assumption.

+

In the following we distinguish between categorical covariates and numerical covariates. Categorical covariates are factors. The important characteristic of a factor is that, for each observed value of the response, the factor takes on the value of one of a set of discrete levels. The levels can be unordered (nominal) or ordered (ordinal). We use the term covariate when we refer to numerical covariates, that is to continuous measures with some distribution. In principle, statistical models are not constrained by the distribution of observations across levels of factors and covariates, but the distribution may lead to problems of model identification and it does implications for statistical power.

+

Statistical power, especially for the detection of interactions, is best when observations are uniformly distributed across levels of factors or uniform across the values of covariates. In experimental designs, uniform distributions may be achieved by balanced assignment of subjects (or other carriers of responses) to the levels of factors or combinations of factor levels. In observational contexts, we achieve uniform distributions by stratification (e..g., on age, gender, or IQ scores). Statistical power is worse for skewed than normal distributions (I think …). Therefore, although it is not required to meet an assumption of the statistical model, it may be useful to consider Box-Cox transformations of covariates.

+
+
+

2.2 Nested and crossed random (grouping) factors

+

In LMMs the levels of at least one of the factors represents units in the data set that are assumed to be sampled, ideally randomly, from a population that is normally distributed with respect to the response. This is the second assumption of normal distribution in LMMs. In psychology and linguistics the observational units are often the subjects or items (e..g., texts, sentences, words, pictures) in the study. We may use numbers, such as subject identifiers, to designate the particular levels that we observed; we recommend to prepend these numbers with “S” or “I” to avoid confusion with numeric variables.

+

Random sampling is the basis of generalization from the sample to the population. The core statistics we will estimate in this context are variances and correlations of grand means and (quasi-)experimental effects. These terms will be explained below. What we want to stress here is that the estimation of (co-)variances / correlations requires a larger number of units (levels) than the estimation of means. Therefore, from a practical perspective, it is important that random factors are represented with many units.

+

When there is more than one random factor, we must be clear about their relation. The two prototypical cases are that the factors are nested or crossed. In multilevel models, a special case of mixed models, the levels of the random factors are strictly nested. For example, at a given time, every student attends a specific class in a specific school. Students, classes, and schools could be three random factors. As soon as we look at this scenario across several school years, the nesting quickly falls apart because students may move between classes and between schools.

+

In psychology and linguistics, random factors are often crossed, for example, when every subject reads every word in every sentence in a word-by-word self-paced reading experiment (or alternatively: when every word in every sentence elicits a response from every subject). However, in an eye-movement experiment (for example), the perfect crossing on a measure like fixation duration is not attainable because of blinks or skipping of words.

+

In summary, the typical situation in experimental and observational studies with more than one random factor is partial crossing or partial nesting of levels of the random factors. Linear mixed models handle these situations very well.

+
+
+

2.3 Experimental and quasi-experimental fixed factors / covariates

+

Fixed experimental factor or covariate. In experiments the units (or levels) of the random factor(s) are assigned to manipulations implemented in their design. The researcher controls the assignment of units of the random factor(s) (e.g., subjects, items) to experimental manipulations. These manipulations are represented as factors with a fixed and discrete set of levels (e.g., training vs. control group) or as covariates associated with continuous numeric values (e.g., presentation times).

+

Fixed quasi-experimental factor or covariate. In observational studies (which can also be experiments) the units (or levels) of random factors may “bring along” characteristics that represent the levels of quasi-experimental factors or covariates beyond the control of the researcher. Whether a a subject is female, male, or diverse or whether a word is a noun, a verb, or an adjective are examples of quasi-experimental factors of gender or word type, respectively. Subject-related covariates are body height, body mass, and IQ scores; word-related covariates are their lengths, frequency, and cloze predictability.

+
+
+

2.4 Between-unit and within-unit factors / covariates

+

The distinction between between-unit and within-unit factors is always relative to a random (grouping) factor of an experimental design. A between-unit factor / covariate is a factor for which every unit of the random factor is assigned to or characterized by only one level of the factor. A within-unit factor is a factor for which units of the random factor appear at every level of the factor.

+

For the typical random factor, say Subject, there is little ambiguity because we are used to the between-within distinction from ANOVAs, more specifically the F1-ANOVA. In psycholinguistics, there is the tradition to test effects also for the second random factor Item in an F2-ANOVA. Importantly, for a given fixed factor all four combinations are possible. For example, Gender is a fixed quasi-experimental between-subject / within-item factor; word frequency is a fixed quasi-experimental within-subject / between-item covariate; Prime-target relation is a fixed experimental within-subject / within-item factor (assuming that targets are presented both in a primed and in an unprimed situation); and when a training manipulation is defined by the items used in the training, then in a training-control group design, the fixed factor Group is a fixed experimental between-subject / between-item factor.

+

These distinctions are critical for setting up LMMs because variance components for (quasi-)experimental effects can only be specified for within-unit effects. Note also that loss of data (within limits), counterbalancing or blocking of items are irrelevant for these definitions.

+
+ +
+

2.6 Contrast- and trend-based fixed-effect model parameters

+

Fixed factors and covariates are expected to have effects on the response. Fixed-effect model parameters estimate the hypothesized main and interaction effects of the study. The estimates of factors are based on contrasts; the estimates of covariates are based on trends. Conceptually, they correspond to unstandardized regression coefficients in multiple regression.

+

The intercept is a special regression coefficient; it estimates the value of the dependent variable when all fixed effects associated with factors and trends associated with covariates are zero. In experimental designs with higher-order interactions there is an advantage of specifying the LMM in such a way that the intercept estimates the grand mean (GM; mean of the means of design cells). This happens if (a) contrasts for factors are chosen such that the intercept estimates the GM (positive: EffectsCoding, SeqDifferenceCoding, or HelmertCoding contrasts; negative: DummyCoding), (b) orthogonal polynomial trends are used (Helmert, anova-based), and (c) covariates are centered on their mean before inclusion in the model. As always, there may be good theoretical reasons to depart from the default recommendation.

+

The specification of contrasts / trends does not depend on the status of the fixed factor / covariate. It does not matter whether a factor varies between or within the units of a random factor or whether it is an experimental or quasi-experimental factor. Contrasts are not specified for random (grouping) factors.

+
+
+

2.7 Variance components (VCs) and correlation parameters (CPs)

+

Variance components (VCs) and correlation parameters (CPs) are within-group model parameters; they correspond to (some of the) within-unit (quasi-)experimental fixed-effect model parameters. Thus, we may be able to estimate a subject-related VC for word frequency. If we included a linear trend for word frequency, the VC estimates the subject-related variance in these slopes. We cannot estimate an item-related VC for the word-frequency slopes because there is only one frequency associated with words. Analogously, we may able to estimate an item-related VC for the effect of Group (training vs. control), but we cannot estimate a subject-related VC for this effect.

+

The within-between characteristics of fixed factors and covariates relative to the random factor(s) are features of the design of the experiment or observational study. They fundamentally constrain the specification of the LMM. That’s why it is of upmost importance to be absolutely clear about their status.

+
+
+

2.8 Conditional modes of random effects

+

In this outline of the dimensions underlying the specification of an LMM, we have said nothing so far about the conditional modes of random effects (i.e., the results shown in caterpillar and shrinkage plots). They are not needed for model specification or model selection.

+

The VC is the prior variance of the random effects, whereas var(ranef(model)) is the variance of the posterior means/modes of the random effects. See Kliegl et al. (2010, VisualCognition); Rizopoulos (2019, stackexchange.

+
+
+
+

3 Background for data

+
+

3.1 Abstract

+

This semantic-priming experiment was reported in Masson, Rabe, & Kliegl (2017, Exp. 1, Memory & Cognition). It is a direct replication of an experiment reported in Masson & Kliegl (2013, Exp. 1, JEPLMC). Following a prime word a related or unrelated high- or low-frequency target word or a nonword was presented in clear or dim font. The subject’s task was to decide as quickly as possible whether the target was a word or a nonword, that is subjects performed a lexical decision task (LDT). The reaction time and the accuracy of the response were recorded. Only correct reaction times to words are included. After filtering there were 16,409 observations recorded from 73 subjects and 240 items.

+
+
+

3.2 Codebook

+

The data (variables and observations) used by Masson et al. (2017) are available in file MRK17_Exp1.RDS

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
VariableDescription
SubjSubject identifier
ItemTarget (non-)word
trialTrial number
FTarget frequency is high or low
PPrime is related or unrelated to target
QTarget quality is clear or degraded
lQLast-trial target quality is clear or degraded
lTLast-trail target requires word or nonword response
rtReaction time [ms]
+

lagQlty and lagTrgt refer to experimental conditions in the last trial.

+

Corresponding indicator variables (-1/+1):

+
+
+
+

4 Setup

+

Packages we (might) use.

+
+
using CategoricalArrays
+using DataFrames
+using MixedModels
+using MixedModelsMakie
+using SMLP2023: dataset
+using Statistics: mean, std
+
+
+
dat = DataFrame(dataset(:mrk17_exp1))
+describe(dat)
+
+
9×7 DataFrame
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Rowvariablemeanminmedianmaxnmissingeltype
SymbolUnion…AnyUnion…AnyInt64DataType
1subjS01S730String
2itemACHEYEAR0String
3trial239.9582239.04800Int16
4FHFLF0String
5Prelunr0String
6Qclrdeg0String
7lQclrdeg0String
8lTNWWD0String
9rt647.173301601.029940Int16
+
+
+
+
+
cells = combine(
+  groupby(dat, [:F, :P, :Q, :lQ, :lT]),
+  nrow => :n,
+  :rt => mean => :rt_m,
+  :rt => std => :rt_sd
+ # :rt => (c -> mean(log, c)) => :lrt_m,
+)
+#dat_subj.CTR = categorical(dat_subj.CTR, levels=levels(dat.CTR))
+cells
+
+
32×8 DataFrame
7 rows omitted
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
RowFPQlQlTnrt_mrt_sd
StringStringStringStringStringInt64Float64Float64
1LFunrdegdegNW491683.831197.074
2LFunrdegdegWD488676.848198.409
3LFunrdegclrNW499685.265186.73
4LFunrdegclrWD519676.711167.794
5LFunrclrdegNW528658.225213.144
6LFunrclrdegWD494653.03196.71
7LFunrclrclrNW506648.057209.625
8LFunrclrclrWD499641.669183.413
9LFreldegdegNW492667.872175.869
10LFreldegdegWD498653.43180.58
11LFreldegclrNW539650.16167.51
12LFreldegclrWD512678.119217.209
13LFrelclrdegNW499635.076192.738
⋮⋮⋮⋮⋮⋮⋮⋮⋮
21HFunrclrdegNW553644.6203.261
22HFunrclrdegWD495633.046172.604
23HFunrclrclrNW495619.626176.55
24HFunrclrclrWD532620.838192.689
25HFreldegdegNW508659.266192.637
26HFreldegdegWD546637.793177.496
27HFreldegclrNW507645.493179.962
28HFreldegclrWD517667.685231.145
29HFrelclrdegNW527615.647176.826
30HFrelclrdegWD504620.569173.764
31HFrelclrclrNW546635.319205.19
32HFrelclrclrWD499613.094192.13
+
+
+
+
+
+

5 Complex LMM

+

The following LMM is not the maximal factorial LMM because we do not include interaction terms and associated correlation parameters in the RE structure.

+
+

5.1 Model fit

+
+
contrasts = 
+    Dict( :F => EffectsCoding(; levels=["LF", "HF"]) ,
+          :P => EffectsCoding(; levels=["unr", "rel"]),
+          :Q => EffectsCoding(; levels=["deg", "clr"]),
+          :lQ =>EffectsCoding(; levels=["deg", "clr"]),
+          :lT =>EffectsCoding(; levels=["NW", "WD"])
+          );
+
+m_cpx = let 
+    form = @formula (1000/rt) ~ 1+F*P*Q*lQ*lT +
+                               (1+F+P+Q+lQ+lT | subj) +
+                               (1  +P+Q+lQ+lT | item);
+    fit(MixedModel, form, dat; contrasts)
+end
+
+VarCorr(m_cpx)
+
+
┌ Warning: ProgressMeter by default refresh meters with additional information in IJulia via `IJulia.clear_output`, which clears all outputs in the cell. 
+│  - To prevent this behaviour, do `ProgressMeter.ijulia_behavior(:append)`. 
+│  - To disable this warning message, do `ProgressMeter.ijulia_behavior(:clear)`.
+└ @ ProgressMeter ~/.julia/packages/ProgressMeter/vnCY0/src/ProgressMeter.jl:626
+Minimizing 2428    Time: 0:00:11 ( 4.71 ms/it)
+  objective:  7147.550334722926
+
+
+ +++++++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ColumnVarianceStd.DevCorr.
item(Intercept)0.003202170.05658771
P: rel0.000129020.01135869+0.05
Q: clr0.000159990.01264859+0.36+0.38
lQ: clr0.000034920.00590960+0.38+0.03+0.03
lT: WD0.000157400.01254582-0.11-0.87-0.01-0.35
subj(Intercept)0.030612970.17496562
F: HF0.000044380.00666198+0.36
P: rel0.000127310.01128317+0.35+0.89
Q: clr0.000789970.02810642+0.41+0.45+0.73
lQ: clr0.000116190.01077914+0.06+0.16+0.18+0.58
lT: WD0.001045560.03233519+0.26-0.10-0.02+0.37+0.51
Residual0.085699450.29274469
+
+
+
+
issingular(m_cpx)
+
+
true
+
+
+
+
MixedModels.PCA(m_cpx)
+
+
(item = 
+Principal components based on correlation matrix
+ (Intercept)   1.0     .      .      .      .
+ P: rel        0.05   1.0     .      .      .
+ Q: clr        0.36   0.38   1.0     .      .
+ lQ: clr       0.38   0.03   0.03   1.0     .
+ lT: WD       -0.11  -0.87  -0.01  -0.35   1.0
+
+Normalized cumulative variances:
+[0.4222, 0.6864, 0.9057, 1.0, 1.0]
+
+Component loadings
+                PC1    PC2    PC3    PC4    PC5
+ (Intercept)  -0.3   -0.67   0.02  -0.67   0.07
+ P: rel       -0.6    0.38   0.22  -0.05   0.67
+ Q: clr       -0.31  -0.34   0.7    0.46  -0.28
+ lQ: clr      -0.31  -0.41  -0.62   0.55   0.2
+ lT: WD        0.6   -0.34   0.27   0.15   0.66, subj = 
+Principal components based on correlation matrix
+ (Intercept)   1.0     .      .      .      .      .
+ F: HF         0.36   1.0     .      .      .      .
+ P: rel        0.35   0.89   1.0     .      .      .
+ Q: clr        0.41   0.45   0.73   1.0     .      .
+ lQ: clr       0.06   0.16   0.18   0.58   1.0     .
+ lT: WD        0.26  -0.1   -0.02   0.37   0.51   1.0
+
+Normalized cumulative variances:
+[0.4766, 0.7359, 0.8812, 0.9431, 1.0, 1.0]
+
+Component loadings
+                PC1    PC2    PC3    PC4    PC5    PC6
+ (Intercept)  -0.34   0.02   0.84   0.31  -0.28  -0.11
+ F: HF        -0.45   0.42  -0.12  -0.41  -0.43   0.5
+ P: rel       -0.51   0.35  -0.16  -0.16   0.27  -0.7
+ Q: clr       -0.52  -0.15  -0.11   0.41   0.56   0.45
+ lQ: clr      -0.32  -0.51  -0.43   0.29  -0.56  -0.21
+ lT: WD       -0.21  -0.65   0.24  -0.67   0.17  -0.0)
+
+
+

Variance-covariance matrix of random-effect structure suggests overparameterization for both subject-related and item-related components.

+

We don’t look at fixed effects before model selection.

+
+
+

5.2 VCs and CPs

+

We can also look separately at item- and subj-related VCs and CPs for subjects and items.

+
+
first(m_cpx.λ)
+
+
5×5 LinearAlgebra.LowerTriangular{Float64, Matrix{Float64}}:
+  0.193301      ⋅           ⋅            ⋅          ⋅ 
+  0.00211947   0.0387427    ⋅            ⋅          ⋅ 
+  0.0156009    0.0156542   0.0371267     ⋅          ⋅ 
+  0.00757735   0.0001395  -0.00253342   0.018538    ⋅ 
+ -0.00483827  -0.0370574   0.0173962   -0.0117189  0.0
+
+
+

VP is zero for last diagonal entry; not supported by data.

+
+
last(m_cpx.λ)
+
+
6×6 LinearAlgebra.LowerTriangular{Float64, Matrix{Float64}}:
+ 0.597673      ⋅          ⋅           ⋅          ⋅          ⋅ 
+ 0.00815037   0.0212474   ⋅           ⋅          ⋅          ⋅ 
+ 0.0134519    0.0317662  0.01719      ⋅          ⋅          ⋅ 
+ 0.0392923    0.0307444  0.0690338   0.0443075   ⋅          ⋅ 
+ 0.00205904   0.0056347  0.00252826  0.0362409  0.0         ⋅ 
+ 0.0283427   -0.0224457  0.0135807   0.0577618  0.0813156  0.027571
+
+
+

VP is zero for fourth diagonal entry; not supported by data.

+
+
+
+

6 Zero-correlation parameter LMM

+
+

6.1 Model fit

+

We take out correlation parameters.

+
+
m_zcp = let 
+    form = @formula (1000/rt) ~ 1+F*P*Q*lQ*lT +
+                       zerocorr(1+F+P+Q+lQ+lT | subj) +
+                       zerocorr(1  +P+Q+lQ+lT | item);
+    fit(MixedModel, form, dat; contrasts)
+end
+
+VarCorr(m_zcp)
+issingular(m_zcp)
+MixedModels.PCA(m_zcp)
+
+
┌ Warning: ProgressMeter by default refresh meters with additional information in IJulia via `IJulia.clear_output`, which clears all outputs in the cell. 
+│  - To prevent this behaviour, do `ProgressMeter.ijulia_behavior(:append)`. 
+│  - To disable this warning message, do `ProgressMeter.ijulia_behavior(:clear)`.
+└ @ ProgressMeter ~/.julia/packages/ProgressMeter/vnCY0/src/ProgressMeter.jl:626
+Minimizing 414    Time: 0:00:01 ( 3.96 ms/it)
+
+
+
(item = 
+Principal components based on correlation matrix
+ (Intercept)  1.0  .    .    .    .
+ P: rel       0.0  1.0  .    .    .
+ Q: clr       0.0  0.0  1.0  .    .
+ lQ: clr      0.0  0.0  0.0  1.0  .
+ lT: WD       0.0  0.0  0.0  0.0  1.0
+
+Normalized cumulative variances:
+[0.2, 0.4, 0.6, 0.8, 1.0]
+
+Component loadings
+               PC1   PC2   PC3   PC4   PC5
+ (Intercept)  1.0   0.0   0.0   0.0   0.0
+ P: rel       0.0   0.0   0.0   0.0   1.0
+ Q: clr       0.0   1.0   0.0   0.0   0.0
+ lQ: clr      0.0   0.0   1.0   0.0   0.0
+ lT: WD       0.0   0.0   0.0   1.0   0.0, subj = 
+Principal components based on correlation matrix
+ (Intercept)  1.0  .    .    .    .    .
+ F: HF        0.0  1.0  .    .    .    .
+ P: rel       0.0  0.0  1.0  .    .    .
+ Q: clr       0.0  0.0  0.0  1.0  .    .
+ lQ: clr      0.0  0.0  0.0  0.0  1.0  .
+ lT: WD       0.0  0.0  0.0  0.0  0.0  1.0
+
+Normalized cumulative variances:
+[0.1667, 0.3333, 0.5, 0.6667, 0.8333, 1.0]
+
+Component loadings
+               PC1   PC2   PC3   PC4   PC5   PC6
+ (Intercept)  1.0   0.0   0.0   0.0   0.0   0.0
+ F: HF        0.0   1.0   0.0   0.0   0.0   0.0
+ P: rel       0.0   0.0   1.0   0.0   0.0   0.0
+ Q: clr       0.0   0.0   0.0   1.0   0.0   0.0
+ lQ: clr      0.0   0.0   0.0   0.0   1.0   0.0
+ lT: WD       0.0   0.0   0.0   0.0   0.0   1.0)
+
+
+
+
MixedModels.likelihoodratiotest(m_zcp, m_cpx)
+
+ ++++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
model-dofdevianceχ²χ²-dofP(>χ²)
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + zerocorr(1 + F + P + Q + lQ + lT | subj) + zerocorr(1 + P + Q + lQ + lT | item)447188
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + (1 + F + P + Q + lQ + lT | subj) + (1 + P + Q + lQ + lT | item)69714841250.0233
+
+
+

Looks ok. It might be a good idea to prune the LMM by removing small VCs.

+
+
m_zcp2 = let 
+    form = @formula (1000/rt) ~ 1+F*P*Q*lQ*lT +
+                       zerocorr(1  +P+Q+lQ+lT | subj) +
+                       zerocorr(1  +P+Q   +lT | item);
+    fit(MixedModel, form, dat; contrasts)
+end
+VarCorr(m_zcp2)
+
+
┌ Warning: ProgressMeter by default refresh meters with additional information in IJulia via `IJulia.clear_output`, which clears all outputs in the cell. 
+│  - To prevent this behaviour, do `ProgressMeter.ijulia_behavior(:append)`. 
+│  - To disable this warning message, do `ProgressMeter.ijulia_behavior(:clear)`.
+└ @ ProgressMeter ~/.julia/packages/ProgressMeter/vnCY0/src/ProgressMeter.jl:626
+Minimizing 243    Time: 0:00:00 ( 2.92 ms/it)
+
+
+ ++++++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ColumnVarianceStd.DevCorr.
item(Intercept)0.003202020.05658639
P: rel0.000071370.00844786.
Q: clr0.000147200.01213261..
lT: WD0.000117070.01081993...
subj(Intercept)0.030610670.17495906
P: rel0.000099220.00996077.
Q: clr0.000773040.02780365..
lQ: clr0.000118910.01090475...
lT: WD0.001061510.03258076....
Residual0.085915860.29311407
+
+
+
+
MixedModels.likelihoodratiotest(m_zcp2, m_zcp, m_cpx)
+
+ ++++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
model-dofdevianceχ²χ²-dofP(>χ²)
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + zerocorr(1 + P + Q + lQ + lT | subj) + zerocorr(1 + P + Q + lT | item)427189
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + zerocorr(1 + F + P + Q + lQ + lT | subj) + zerocorr(1 + P + Q + lQ + lT | item)447188020.9634
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + (1 + F + P + Q + lQ + lT | subj) + (1 + P + Q + lQ + lT | item)69714841250.0233
+
+
+

We can perhaps remove some more.

+
+
m_zcp3 = let 
+    form = @formula (1000/rt) ~ 1+F*P*Q*lQ*lT +
+                       zerocorr(1    +Q   +lT | subj) + (1 | item);
+    fit(MixedModel, form, dat; contrasts)
+end
+VarCorr(m_zcp3)
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ColumnVarianceStd.DevCorr.
item(Intercept)0.00320490.0566117
subj(Intercept)0.03061690.1749768
Q: clr0.00076290.0276198.
lT: WD0.00106450.0326267..
Residual0.08647520.2940667
+
+
+
+
MixedModels.likelihoodratiotest(m_zcp3, m_zcp2, m_zcp, m_cpx)
+
+ ++++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
model-dofdevianceχ²χ²-dofP(>χ²)
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + zerocorr(1 + Q + lT | subj) + (1 | item)377196
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + zerocorr(1 + P + Q + lQ + lT | subj) + zerocorr(1 + P + Q + lT | item)427189850.1781
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + zerocorr(1 + F + P + Q + lQ + lT | subj) + zerocorr(1 + P + Q + lQ + lT | item)447188020.9634
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + (1 + F + P + Q + lQ + lT | subj) + (1 + P + Q + lQ + lT | item)69714841250.0233
+
+
+

And another iteration.

+
+
m_zcp4 = let 
+    form = @formula (1000/rt) ~ 1+F*P*Q*lQ*lT +
+                       zerocorr(1         +lT | subj) + (1 | item);
+    fit(MixedModel, form, dat; contrasts)
+end
+VarCorr(m_zcp4)
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ColumnVarianceStd.DevCorr.
item(Intercept)0.00320670.0566278
subj(Intercept)0.03066080.1751022
lT: WD0.00108960.0330097.
Residual0.08723300.2953523
+
+
+
+
MixedModels.likelihoodratiotest(m_zcp4, m_zcp3, m_zcp2, m_zcp, m_cpx)
+
+ ++++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
model-dofdevianceχ²χ²-dofP(>χ²)
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + zerocorr(1 + lT | subj) + (1 | item)367259
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + zerocorr(1 + Q + lT | subj) + (1 | item)377196631<1e-14
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + zerocorr(1 + P + Q + lQ + lT | subj) + zerocorr(1 + P + Q + lT | item)427189850.1781
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + zerocorr(1 + F + P + Q + lQ + lT | subj) + zerocorr(1 + P + Q + lQ + lT | item)447188020.9634
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + (1 + F + P + Q + lQ + lT | subj) + (1 + P + Q + lQ + lT | item)69714841250.0233
+
+
+

Too much removed. Stay with m_zcp3, but extend with CPs.

+
+
m_prm = let 
+    form = @formula (1000/rt) ~ 1+F*P*Q*lQ*lT + 
+                               (1+    Q+lT | subj) + (1 | item);
+    fit(MixedModel, form, dat; contrasts)
+end
+VarCorr(m_prm)
+
+
┌ Warning: ProgressMeter by default refresh meters with additional information in IJulia via `IJulia.clear_output`, which clears all outputs in the cell. 
+│  - To prevent this behaviour, do `ProgressMeter.ijulia_behavior(:append)`. 
+│  - To disable this warning message, do `ProgressMeter.ijulia_behavior(:clear)`.
+└ @ ProgressMeter ~/.julia/packages/ProgressMeter/vnCY0/src/ProgressMeter.jl:626
+Minimizing 250    Time: 0:00:00 ( 0.55 ms/it)
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ColumnVarianceStd.DevCorr.
item(Intercept)0.00320100.0565771
subj(Intercept)0.03062120.1749891
Q: clr0.00076260.0276154+0.42
lT: WD0.00106210.0325898+0.26+0.38
Residual0.08647690.2940696
+
+
+
+

6.1.1 post-hoc LMM

+
+
m_prm = let 
+    form = @formula (1000/rt) ~ 1+F*P*Q*lQ*lT + 
+                               (1+    Q+lT | subj) + (1 | item);
+    fit(MixedModel, form, dat; contrasts)
+end
+VarCorr(m_prm)
+
+
┌ Warning: ProgressMeter by default refresh meters with additional information in IJulia via `IJulia.clear_output`, which clears all outputs in the cell. 
+│  - To prevent this behaviour, do `ProgressMeter.ijulia_behavior(:append)`. 
+│  - To disable this warning message, do `ProgressMeter.ijulia_behavior(:clear)`.
+└ @ ProgressMeter ~/.julia/packages/ProgressMeter/vnCY0/src/ProgressMeter.jl:626
+Minimizing 250    Time: 0:00:00 ( 0.55 ms/it)
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ColumnVarianceStd.DevCorr.
item(Intercept)0.00320100.0565771
subj(Intercept)0.03062120.1749891
Q: clr0.00076260.0276154+0.42
lT: WD0.00106210.0325898+0.26+0.38
Residual0.08647690.2940696
+
+
+
+
+
+

6.2 VCs and CPs

+
+
MixedModels.likelihoodratiotest(m_zcp3, m_prm, m_cpx)
+
+ ++++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
model-dofdevianceχ²χ²-dofP(>χ²)
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + zerocorr(1 + Q + lT | subj) + (1 | item)377196
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + (1 + Q + lT | subj) + (1 | item)4071801630.0011
:(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + (1 + F + P + Q + lQ + lT | subj) + (1 + P + Q + lQ + lT | item)69714833290.2916
+
+
+

The LRT favors the complex LMM, but not that χ² < 2*(χ²-dof); AIC and BIC suggest against selection.

+
+
gof_summary = let
+  nms = [:m_zcp3, :m_prm, :m_cpx]
+  mods = eval.(nms)
+  lrt = MixedModels.likelihoodratiotest(m_zcp3, m_prm, m_cpx)
+  DataFrame(;
+    name = nms, 
+    dof=dof.(mods),
+    deviance=round.(deviance.(mods), digits=0),
+    AIC=round.(aic.(mods),digits=0),
+    AICc=round.(aicc.(mods),digits=0),
+    BIC=round.(bic.(mods),digits=0),
+    χ²=vcat(:., round.(lrt.tests.deviancediff, digits=0)),
+    χ²_dof=vcat(:., round.(lrt.tests.dofdiff, digits=0)),
+    pvalue=vcat(:., round.(lrt.tests.pvalues, digits=3))
+  )
+end
+
+
3×9 DataFrame
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
RownamedofdevianceAICAICcBICχ²χ²_dofpvalue
SymbolInt64Float64Float64Float64Float64AnyAnyAny
1m_zcp3377196.07270.07270.07555.0...
2m_prm407180.07260.07260.07568.016.03.00.001
3m_cpx697148.07286.07286.07817.033.029.00.292
+
+
+
+
+
+
+

7 Parsimonious LMM - replication of MRK17 LMM

+

The LMM is not nested in the previous sequence.

+
+

7.1 Crossed fixed effects

+
+
m_mrk17_crossed =let 
+   form = @formula (1000/rt) ~ 1 + F*P*Q*lQ*lT +
+        (1+Q | subj) + zerocorr(0+lT | subj) + zerocorr(1 + P | item) ;
+    fit(MixedModel, form, dat; contrasts)
+end
+
+VarCorr(m_prm)
+
+
┌ Warning: ProgressMeter by default refresh meters with additional information in IJulia via `IJulia.clear_output`, which clears all outputs in the cell. 
+│  - To prevent this behaviour, do `ProgressMeter.ijulia_behavior(:append)`. 
+│  - To disable this warning message, do `ProgressMeter.ijulia_behavior(:clear)`.
+└ @ ProgressMeter ~/.julia/packages/ProgressMeter/vnCY0/src/ProgressMeter.jl:626
+Minimizing 178    Time: 0:00:00 ( 0.97 ms/it)
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ColumnVarianceStd.DevCorr.
item(Intercept)0.00320100.0565771
subj(Intercept)0.03062120.1749891
Q: clr0.00076260.0276154+0.42
lT: WD0.00106210.0325898+0.26+0.38
Residual0.08647690.2940696
+
+
+
+
show(m_mrk17_crossed)
+
+
Linear mixed model fit by maximum likelihood
+ :(1000 / rt) ~ 1 + F + P + Q + lQ + lT + F & P + F & Q + P & Q + F & lQ + P & lQ + Q & lQ + F & lT + P & lT + Q & lT + lQ & lT + F & P & Q + F & P & lQ + F & Q & lQ + P & Q & lQ + F & P & lT + F & Q & lT + P & Q & lT + F & lQ & lT + P & lQ & lT + Q & lQ & lT + F & P & Q & lQ + F & P & Q & lT + F & P & lQ & lT + F & Q & lQ & lT + P & Q & lQ & lT + F & P & Q & lQ & lT + (1 + Q | subj) + zerocorr(0 + lT | subj) + zerocorr(1 + P | item)
+   logLik   -2 logLik     AIC       AICc        BIC    
+ -3593.4086  7186.8171  7264.8171  7265.0077  7565.3349
+
+Variance components:
+            Column    Variance   Std.Dev.    Corr.
+item     (Intercept)  0.00320566 0.05661853
+         P: rel       0.00006693 0.00818128   .  
+subj     (Intercept)  0.03061811 0.17498031
+         Q: clr       0.00076247 0.02761285 +0.42
+         lT: WD       0.00106209 0.03258976   .     .  
+Residual              0.08640800 0.29395237
+ Number of obs: 16409; levels of grouping factors: 240, 73
+
+  Fixed-effects parameters:
+─────────────────────────────────────────────────────────────────────────────────────
+                                                   Coef.  Std. Error      z  Pr(>|z|)
+─────────────────────────────────────────────────────────────────────────────────────
+(Intercept)                                  1.63743      0.0209305   78.23    <1e-99
+F: HF                                        0.019366     0.00431954   4.48    <1e-05
+P: rel                                       0.0188081    0.00236114   7.97    <1e-14
+Q: clr                                       0.042901     0.00396825  10.81    <1e-26
+lQ: clr                                      0.00174654   0.00231531   0.75    0.4506
+lT: WD                                       0.00836023   0.00446182   1.87    0.0610
+F: HF & P: rel                              -0.00711249   0.00236172  -3.01    0.0026
+F: HF & Q: clr                              -0.00141259   0.00230067  -0.61    0.5392
+P: rel & Q: clr                              0.00134142   0.00230239   0.58    0.5601
+F: HF & lQ: clr                             -0.00105227   0.00232139  -0.45    0.6503
+P: rel & lQ: clr                            -0.00240743   0.00232056  -1.04    0.2995
+Q: clr & lQ: clr                             0.00759804   0.00231922   3.28    0.0011
+F: HF & lT: WD                               0.000536555  0.00231365   0.23    0.8166
+P: rel & lT: WD                              2.93244e-5   0.00231751   0.01    0.9899
+Q: clr & lT: WD                              0.00185532   0.00231773   0.80    0.4234
+lQ: clr & lT: WD                            -0.00524632   0.00231608  -2.27    0.0235
+F: HF & P: rel & Q: clr                     -0.000362238  0.00230272  -0.16    0.8750
+F: HF & P: rel & lQ: clr                    -0.00117754   0.00232025  -0.51    0.6118
+F: HF & Q: clr & lQ: clr                     0.00273699   0.00232283   1.18    0.2387
+P: rel & Q: clr & lQ: clr                   -0.00393229   0.0023222   -1.69    0.0904
+F: HF & P: rel & lT: WD                      0.00198641   0.00231879   0.86    0.3916
+F: HF & Q: clr & lT: WD                     -0.00112587   0.00231657  -0.49    0.6270
+P: rel & Q: clr & lT: WD                     0.000261826  0.00231924   0.11    0.9101
+F: HF & lQ: clr & lT: WD                     0.00150677   0.00232198   0.65    0.5164
+P: rel & lQ: clr & lT: WD                    8.67996e-5   0.00232177   0.04    0.9702
+Q: clr & lQ: clr & lT: WD                    0.00916751   0.00231827   3.95    <1e-04
+F: HF & P: rel & Q: clr & lQ: clr           -0.00234443   0.00231978  -1.01    0.3122
+F: HF & P: rel & Q: clr & lT: WD            -0.00148721   0.00232057  -0.64    0.5216
+F: HF & P: rel & lQ: clr & lT: WD            0.00308764   0.00232145   1.33    0.1835
+F: HF & Q: clr & lQ: clr & lT: WD            0.00393598   0.00232128   1.70    0.0900
+P: rel & Q: clr & lQ: clr & lT: WD           0.00202623   0.00232125   0.87    0.3827
+F: HF & P: rel & Q: clr & lQ: clr & lT: WD   0.00144888   0.00231838   0.62    0.5320
+─────────────────────────────────────────────────────────────────────────────────────
+
+
+

Finally, a look at the fixed effects. The four-factor interaction reported in Masson & Kliegl (2013) was not replicated.

+
+
+

7.2 Nested fixed effects

+
+
m_mrk17_nested =let 
+   form = @formula (1000/rt) ~ 1 + Q/(F/P) +
+        (1+Q | subj) + zerocorr(0+lT | subj) + zerocorr(1 + P | item) ;
+    fit(MixedModel, form, dat; contrasts)
+end
+
+
┌ Warning: ProgressMeter by default refresh meters with additional information in IJulia via `IJulia.clear_output`, which clears all outputs in the cell. 
+│  - To prevent this behaviour, do `ProgressMeter.ijulia_behavior(:append)`. 
+│  - To disable this warning message, do `ProgressMeter.ijulia_behavior(:clear)`.
+└ @ ProgressMeter ~/.julia/packages/ProgressMeter/vnCY0/src/ProgressMeter.jl:626
+Minimizing 175    Time: 0:00:00 ( 0.89 ms/it)
+
+
+ +++++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Est.SEzpσ_itemσ_subj
(Intercept)1.63740.020978.20<1e-990.05650.1751
Q: clr0.04280.004010.74<1e-260.0278
Q: deg & F: HF0.02090.00494.26<1e-04
Q: clr & F: HF0.01790.00493.650.0003
Q: deg & F: LF & P: rel0.02440.00475.18<1e-06
Q: clr & F: LF & P: rel0.02780.00475.94<1e-08
Q: deg & F: HF & P: rel0.01100.00472.350.0186
Q: clr & F: HF & P: rel0.01260.00462.710.0067
P: rel0.0086
lT: WD0.0337
Residual0.2944
+
+
+
+
+
+

8 Questions from the Discussion forum

+
+

8.1 Nesting within products of factors

+

Include parenthesis

+
+
m_mrk17_nested =let 
+   form = @formula (1000/rt) ~ 1 + Q/(F/P) +
+        (1+Q | subj) + zerocorr(0+lT | subj) + zerocorr(1 + P | item) ;
+    fit(MixedModel, form, dat; contrasts)
+end
+
+
┌ Warning: ProgressMeter by default refresh meters with additional information in IJulia via `IJulia.clear_output`, which clears all outputs in the cell. 
+│  - To prevent this behaviour, do `ProgressMeter.ijulia_behavior(:append)`. 
+│  - To disable this warning message, do `ProgressMeter.ijulia_behavior(:clear)`.
+└ @ ProgressMeter ~/.julia/packages/ProgressMeter/vnCY0/src/ProgressMeter.jl:626
+Minimizing 175    Time: 0:00:00 ( 0.89 ms/it)
+
+
+ +++++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Est.SEzpσ_itemσ_subj
(Intercept)1.63740.020978.20<1e-990.05650.1751
Q: clr0.04280.004010.74<1e-260.0278
Q: deg & F: HF0.02090.00494.26<1e-04
Q: clr & F: HF0.01790.00493.650.0003
Q: deg & F: LF & P: rel0.02440.00475.18<1e-06
Q: clr & F: LF & P: rel0.02780.00475.94<1e-08
Q: deg & F: HF & P: rel0.01100.00472.350.0186
Q: clr & F: HF & P: rel0.01260.00462.710.0067
P: rel0.0086
lT: WD0.0337
Residual0.2944
+
+
+
+
+

8.2 Selection in fixed effects

+
+
using RegressionFormulae
+# m_prm_5 is equivalent to m_prm
+m_prm_5 = let 
+    form = @formula (1000/rt) ~ 1+(F+P+Q+lQ+lT)^5 + (1+Q+lT | subj) + (1 | item);
+    fit(MixedModel, form, dat; contrasts)
+end;
+
+m_prm_4 = let 
+    form = @formula (1000/rt) ~ 1+(F+P+Q+lQ+lT)^4 + (1+Q+lT | subj) + (1 | item);
+    fit(MixedModel, form, dat; contrasts)
+end;
+
+m_prm_3 = let 
+    form = @formula (1000/rt) ~ 1+(F+P+Q+lQ+lT)^3 + (1+Q+lT | subj) + (1 | item);
+    fit(MixedModel, form, dat; contrasts)
+end;
+
+m_prm_2 = let 
+    form = @formula (1000/rt) ~ 1+(F+P+Q+lQ+lT)^2 + (1+Q+lT | subj) + (1 | item);
+    fit(MixedModel, form, dat; contrasts)
+end;
+
+m_prm_1 = let 
+    form = @formula (1000/rt) ~ 1+ F+P+Q+lQ+lT +   (1+Q+lT | subj) + (1 | item);
+    fit(MixedModel, form, dat; contrasts)
+end;
+
+# Compare the fits
+gof_summary = let
+  nms = [:m_prm_1, :m_prm_2, :m_prm_3, :m_prm_4, :m_prm_5]
+  mods = eval.(nms)
+  lrt = MixedModels.likelihoodratiotest(m_prm_1, m_prm_2, m_prm_3, m_prm_4, m_prm_5)
+  DataFrame(;
+    name = nms, 
+    dof=dof.(mods),
+    deviance=deviance.(mods),
+    AIC=aic.(mods),
+    AICc=aicc.(mods),
+    BIC=bic.(mods),
+    χ²=vcat(:.,lrt.tests.deviancediff),
+    χ²_dof=vcat(:.,lrt.tests.dofdiff),
+    pvalue=vcat(:., round.(lrt.tests.pvalues, digits=3))
+  )
+end
+
+
┌ Warning: ProgressMeter by default refresh meters with additional information in IJulia via `IJulia.clear_output`, which clears all outputs in the cell. 
+│  - To prevent this behaviour, do `ProgressMeter.ijulia_behavior(:append)`. 
+│  - To disable this warning message, do `ProgressMeter.ijulia_behavior(:clear)`.
+└ @ ProgressMeter ~/.julia/packages/ProgressMeter/vnCY0/src/ProgressMeter.jl:626
+Minimizing 249    Time: 0:00:00 ( 0.43 ms/it)
+
+
+
5×9 DataFrame
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
RownamedofdevianceAICAICcBICχ²χ²_dofpvalue
SymbolInt64Float64Float64Float64Float64AnyAnyAny
1m_prm_1147237.397265.397265.417373.27...
2m_prm_2247209.27257.27257.277442.1328.1868100.002
3m_prm_3347187.577255.577255.717517.5621.6317100.017
4m_prm_4397180.617258.617258.87559.136.9586450.224
5m_prm_5407180.217260.217260.417568.440.39859110.528
+
+
+
+

Depending on the level of precision of your hypothesis. You could stay with main effect (BIC), include 2-factor interactions (AIC; also called simple interactions) or include 3-factor interactions [χ² < 2*(χ²-dof); also called 2-way interactions].

+
+
+

8.3 Posthoc LMM

+

We are using only three factors for the illustruation.

+
+
m_prm3 = let 
+    form = @formula (1000/rt) ~ 1 + lT*lQ*Q +
+                               (1+    Q+lT | subj) + (1 | item);
+    fit(MixedModel, form, dat; contrasts)
+end
+
+
┌ Warning: ProgressMeter by default refresh meters with additional information in IJulia via `IJulia.clear_output`, which clears all outputs in the cell. 
+│  - To prevent this behaviour, do `ProgressMeter.ijulia_behavior(:append)`. 
+│  - To disable this warning message, do `ProgressMeter.ijulia_behavior(:clear)`.
+└ @ ProgressMeter ~/.julia/packages/ProgressMeter/vnCY0/src/ProgressMeter.jl:626
+Minimizing 279    Time: 0:00:00 ( 0.43 ms/it)
+
+
+ +++++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Est.SEzpσ_itemσ_subj
(Intercept)1.63760.021078.10<1e-990.05960.1750
lT: WD0.00870.00451.930.05300.0328
lQ: clr0.00160.00230.700.4818
Q: clr0.04280.004010.78<1e-260.0276
lT: WD & lQ: clr-0.00560.0023-2.390.0167
lT: WD & Q: clr0.00200.00230.870.3862
lQ: clr & Q: clr0.00760.00233.260.0011
lT: WD & lQ: clr & Q: clr0.00920.00233.94<1e-04
Residual0.2949
+
+
+

The lT & lQ & Q interactions is significant. Let’s follow it up with a post-hoc LMM, that is looking at the lQ & Q interaction in the two levels of whether the last word was a target or not.

+
+
m_prm3_posthoc1 = let 
+    form = @formula (1000/rt) ~ 1 + lT/(lQ*Q) +
+                               (1+    Q+lT | subj) + (1 | item);
+    fit(MixedModel, form, dat; contrasts)
+end
+
+
┌ Warning: ProgressMeter by default refresh meters with additional information in IJulia via `IJulia.clear_output`, which clears all outputs in the cell. 
+│  - To prevent this behaviour, do `ProgressMeter.ijulia_behavior(:append)`. 
+│  - To disable this warning message, do `ProgressMeter.ijulia_behavior(:clear)`.
+└ @ ProgressMeter ~/.julia/packages/ProgressMeter/vnCY0/src/ProgressMeter.jl:626
+Minimizing 300    Time: 0:00:00 ( 0.44 ms/it)
+
+
+ +++++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Est.SEzpσ_itemσ_subj
(Intercept)1.63760.021078.10<1e-990.05960.1750
lT: WD0.00870.00451.930.05300.0328
lT: NW & lQ: clr0.00720.00332.190.0285
lT: WD & lQ: clr-0.00390.0033-1.190.2326
lT: NW & Q: clr0.04080.00468.87<1e-18
lT: WD & Q: clr0.04480.00469.73<1e-21
lT: NW & lQ: clr & Q: clr-0.00160.0033-0.490.6275
lT: WD & lQ: clr & Q: clr0.01670.00335.08<1e-06
Q: clr0.0276
Residual0.2949
+
+
+

The source of the interaction are trials where the last trial was a word target; there is no evidence for the interaction when the last trial was a nonword target.

+

The orginal and post-hoc LMM have the same goodness of fit.

+

[objective(m_prm3), objective(m_prm3_posthoc)] ```

+
+
+

8.4 Info

+
+
versioninfo()
+
+
Julia Version 1.9.3
+Commit bed2cd540a1 (2023-08-24 14:43 UTC)
+Build Info:
+  Official https://julialang.org/ release
+Platform Info:
+  OS: Linux (x86_64-linux-gnu)
+  CPU: 16 × Intel(R) Xeon(R) E-2288G CPU @ 3.70GHz
+  WORD_SIZE: 64
+  LIBM: libopenlibm
+  LLVM: libLLVM-14.0.6 (ORCJIT, skylake)
+  Threads: 17 on 16 virtual cores
+
+
+ + +
+
+ + Back to top
+ + +
+ + + + \ No newline at end of file diff --git a/pkg.html b/pkg.html index 293183e..4eb7560 100644 --- a/pkg.html +++ b/pkg.html @@ -7,7 +7,7 @@ - + SMLP2023: Advanced Frequentist Track - Package management and reproducible environments + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Convergence, singularity and all that

+
+ + + +
+ +
+
Author
+
+

Douglas Bates

+
+
+ +
+
Published
+
+

2023-09-19

+
+
+ + +
+ + +
+ +
+

0.1 What does it mean for a converged model to be singular?

+

Add the packages to be used

+
+
+Code +
using CairoMakie
+using DataFrames
+using LinearAlgebra
+using MixedModels
+using MixedModelsMakie
+using ProgressMeter
+
+ProgressMeter.ijulia_behavior(:clear)
+CairoMakie.activate!(; type="svg")
+
+
+

Fit a model for reaction time in the sleepstudy example, preserving information on the estimation progress (the thin=1 optional argument)

+
+
m01 = let f = @formula reaction ~ 1 + days + (1 + days|subj)
+  fit(MixedModel, f, MixedModels.dataset(:sleepstudy); thin=1)
+end
+print(m01)
+
+
Linear mixed model fit by maximum likelihood
+ reaction ~ 1 + days + (1 + days | subj)
+   logLik   -2 logLik     AIC       AICc        BIC    
+  -875.9697  1751.9393  1763.9393  1764.4249  1783.0971
+
+Variance components:
+            Column    Variance Std.Dev.   Corr.
+subj     (Intercept)  565.51067 23.78047
+         days          32.68212  5.71683 +0.08
+Residual              654.94145 25.59182
+ Number of obs: 180; levels of grouping factors: 18
+
+  Fixed-effects parameters:
+──────────────────────────────────────────────────
+                Coef.  Std. Error      z  Pr(>|z|)
+──────────────────────────────────────────────────
+(Intercept)  251.405      6.63226  37.91    <1e-99
+days          10.4673     1.50224   6.97    <1e-11
+──────────────────────────────────────────────────
+
+
+

The covariance matrix for each subject’s random effects is evaluated from its “matrix square root”, called the Cholesky factor.

+
+
λ = only(m01.λ)
+
+
2×2 LowerTriangular{Float64, Matrix{Float64}}:
+ 0.929221    ⋅ 
+ 0.0181684  0.222645
+
+
+

The transpose of \(\lambda\), written \(\lambda'\), is an upper triangular matrix generated by “flipping” \(\lambda\) about the main diagonal.

+
+
λ'
+
+
2×2 UpperTriangular{Float64, Adjoint{Float64, Matrix{Float64}}}:
+ 0.929221  0.0181684
+  ⋅        0.222645
+
+
+

The product \(\lambda * \lambda'\) will be symmetric. The covariance matrix of the random effects, \(\Sigma\), is this symmetric matrix scaled by \(\sigma^2\)

+
+
Σ = m01.σ^2 * λ * λ'
+
+
2×2 Matrix{Float64}:
+ 565.511  11.057
+  11.057  32.6821
+
+
+

The estimated variances of the random effects, which are the diagonal elements of \(\Sigma\), correspond to the values shown in the table. To evaluate the covariance, isolate the correlation

+
+
# m01.σρs extracts the `σρs` property of the model.
+# This property is a NamedTuple where the names
+# correspond to grouping factors - in this case, `subj`.
+# So `m01.σρs.subj.ρ` is the estimated correlation(s) for
+# this grouping factor.  Because there is only one such correlation
+# we can extract it with `only()`, which also verifies that
+# there is exactly one.
+ρ = only(m01.σρs.subj.ρ)
+
+
0.08133213658952317
+
+
+

and multiply by the standard deviations

+
+
ρ * sqrt(first(Σ) * last(Σ))
+
+
11.057010185853459
+
+
+
+
+

0.2 The factor is generated from a parameter vector

+

In practice we optimize the log-likelihood with respect to a parameter vector called \(\theta\) that generates \(\lambda\).

+
+
m01.θ
+
+
3-element Vector{Float64}:
+ 0.929221315269684
+ 0.018168374324422767
+ 0.22264487618568146
+
+
+

The elements of this parameter vector are subject to constraints. In particular, two of the three elements have a lower bound of zero.

+
+
m01.lowerbd
+
+
3-element Vector{Float64}:
+   0.0
+ -Inf
+   0.0
+
+
+

That is, the first and third elements of \(\theta\), corresponding to diagonal elements of \(\lambda\), must be non-negative, whereas the second component is unconstrained (has a lower bound of \(-\infty\)).

+
+
+

0.3 Progress of the iterations

+

The optsum.fitlog property of the model is a vector of tuples where each tuple contains the value of the \(\theta\) vector and the value of the objective at that \(\theta\). The fitlog always contains the first and the last evaluation. When the thin named argument is set, this property has a row for every thin’th evaluation.

+
+
m01.optsum.fitlog
+
+
57-element Vector{Tuple{Vector{Float64}, Float64}}:
+ ([1.0, 0.0, 1.0], 1784.642296192471)
+ ([1.75, 0.0, 1.0], 1790.1256369894638)
+ ([1.0, 1.0, 1.0], 1798.9996244965905)
+ ([1.0, 0.0, 1.75], 1803.8532002844106)
+ ([0.25, 0.0, 1.0], 1800.613980745553)
+ ([1.0, -1.0, 1.0], 1798.6046308389334)
+ ([1.0, 0.0, 0.25], 1752.2607369909213)
+ ([1.1832612965367755, -0.008661887958064992, 0.0], 1797.5876920198464)
+ ([1.075, 0.0, 0.32499999999999996], 1754.954109579864)
+ ([0.8166315695342949, 0.01116725445704404, 0.28823768689699913], 1753.695681656814)
+ ([1.0, -0.07071067811865475, 0.19696699141100893], 1754.8169985163852)
+ ([0.9436827046396457, 0.06383542916420701, 0.26269630296461177], 1753.1067335474995)
+ ([0.9801419885634466, -0.026656844944287855, 0.274742756095367], 1752.9393767190047)
+ ⋮
+ ([0.928985605351637, 0.01823660224885193, 0.222484401095438], 1751.9393548581684)
+ ([0.9286970760733537, 0.018293693774617543, 0.22317535508759054], 1751.9394897723046)
+ ([0.9282426198642394, 0.018269521463291326, 0.2225837137255985], 1751.9393630912089)
+ ([0.9291127537830922, 0.018179125528737915, 0.22262389023225293], 1751.9393448296642)
+ ([0.9291906050240891, 0.01816575476108833, 0.22264320554148873], 1751.9393444890131)
+ ([0.9292543109280886, 0.018209271163292122, 0.2226208143750069], 1751.939345033841)
+ ([0.9291892350323775, 0.01812979413800049, 0.2225732361409234], 1751.9393475283216)
+ ([0.9292535802338697, 0.0181676260315492, 0.22264990430132825], 1751.9393444903765)
+ ([0.929214503729909, 0.018171739372235835, 0.2226467425808239], 1751.9393444744146)
+ ([0.9292083698208214, 0.018171477237744156, 0.22264619390446877], 1751.9393444750388)
+ ([0.9292092970880226, 0.01817296654455959, 0.22265206177082955], 1751.9393445065577)
+ ([0.929221315269684, 0.018168374324422767, 0.22264487618568146], 1751.9393444646767)
+
+
+

There were 57 evaluations of the objective before convergence was declared, according to rather stringent convergence criteria. We can see that the last 10 evaluations only produced changes in the fourth decimal place of the objective or even smaller. That is, effective convergence occurred after about 40 or 45 evaluations.

+
+
+

1 A model that converges to a degenerate distribution

+

When the iterations converge to a value of \(\theta\) that is on the boundary, which means that one of the diagonal elements of \(\lambda\) is exactly zero, we say that \(\lambda\) is singular, in the sense that its inverse does not exist.

+

Another, more evocative characterization, is that the distribution of the random effects is a degenerate distribution, in the sense that the values of the random effects are constrained to a plane (technically, a linear subspace) in the space of all possible random effects.

+

This is shown in section 3.5.3 of Embrace Uncertainty, especially Figure 3.13.

+
+
+

2 Appendix

+

These are some appendices, mostly so that I can keep track of them

+
+

2.1 Evaluating the random effects correlation from \(\theta\)

+

There is a short-cut for evaluating the correlation which is to “normalize” the second row of \(\lambda\), in the sense that the row is scaled so that it has unit length.

+
+
normed = normalize!(λ[2, :])
+
+
2-element Vector{Float64}:
+ 0.08133213658952315
+ 0.9966870539732033
+
+
+

providing the correlation as

+
+
first(normed)
+
+
0.08133213658952315
+
+
+
+
+

2.2 Optimizing with a fixed correlation

+

To profile the correlation we need optimize the objective while fixing a value of the correlation. The way we will do this is to determine \(\theta_2\) as a function of the fixed \(\rho\) and \(\theta_3\).

+

We need to solve \[ +\rho = \frac{\theta_2}{\sqrt{\theta_2^2 + \theta_3^2}} +\]

+

for \(\theta_2\) as a function of \(\rho\) and \(\theta_3\).

+

Notice that \(\theta_2\) and \(\rho\) have the same sign. Thus it is sufficient to determine the absolute value of \(\theta_2\) then transfer the sign from \(\rho\). \[ +\theta_2^2=\rho^2(\theta_2^2 + \theta_3^2) +\] which implies \[ +\theta_2^2 = \frac{\rho^2}{1-\rho^2}\theta_3^2, \quad \theta_3\ge 0 +\] and thus \[ +\theta_2=\frac{\rho}{\sqrt{1-\rho^2}}\theta_3 +\]

+ + +
+
+ + Back to top
+ + +
+ + + + \ No newline at end of file diff --git a/site_libs/bootstrap/bootstrap-dark.min.css b/site_libs/bootstrap/bootstrap-dark.min.css index 880d1b1..adec28b 100644 --- a/site_libs/bootstrap/bootstrap-dark.min.css +++ b/site_libs/bootstrap/bootstrap-dark.min.css @@ -7,4 +7,4 @@ * * ansi colors from IPython notebook's * -*/.ansi-black-fg{color:#3e424d}.ansi-black-bg{background-color:#3e424d}.ansi-black-intense-fg{color:#282c36}.ansi-black-intense-bg{background-color:#282c36}.ansi-red-fg{color:#e75c58}.ansi-red-bg{background-color:#e75c58}.ansi-red-intense-fg{color:#b22b31}.ansi-red-intense-bg{background-color:#b22b31}.ansi-green-fg{color:#00a250}.ansi-green-bg{background-color:#00a250}.ansi-green-intense-fg{color:#007427}.ansi-green-intense-bg{background-color:#007427}.ansi-yellow-fg{color:#ddb62b}.ansi-yellow-bg{background-color:#ddb62b}.ansi-yellow-intense-fg{color:#b27d12}.ansi-yellow-intense-bg{background-color:#b27d12}.ansi-blue-fg{color:#208ffb}.ansi-blue-bg{background-color:#208ffb}.ansi-blue-intense-fg{color:#0065ca}.ansi-blue-intense-bg{background-color:#0065ca}.ansi-magenta-fg{color:#d160c4}.ansi-magenta-bg{background-color:#d160c4}.ansi-magenta-intense-fg{color:#a03196}.ansi-magenta-intense-bg{background-color:#a03196}.ansi-cyan-fg{color:#60c6c8}.ansi-cyan-bg{background-color:#60c6c8}.ansi-cyan-intense-fg{color:#258f8f}.ansi-cyan-intense-bg{background-color:#258f8f}.ansi-white-fg{color:#c5c1b4}.ansi-white-bg{background-color:#c5c1b4}.ansi-white-intense-fg{color:#a1a6b2}.ansi-white-intense-bg{background-color:#a1a6b2}.ansi-default-inverse-fg{color:#fff}.ansi-default-inverse-bg{background-color:#000}.ansi-bold{font-weight:bold}.ansi-underline{text-decoration:underline}:root{--quarto-body-bg: #222;--quarto-body-color: #fff;--quarto-text-muted: #6c757d;--quarto-border-color: #434343;--quarto-border-width: 1px;--quarto-border-radius: 0.25rem}table.gt_table{color:var(--quarto-body-color);font-size:1em;width:100%;background-color:rgba(0,0,0,0);border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_column_spanner_outer{color:var(--quarto-body-color);background-color:rgba(0,0,0,0);border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_col_heading{color:var(--quarto-body-color);font-weight:bold;background-color:rgba(0,0,0,0)}table.gt_table thead.gt_col_headings{border-bottom:1px solid currentColor;border-top-width:inherit;border-top-color:var(--quarto-border-color)}table.gt_table thead.gt_col_headings:not(:first-child){border-top-width:1px;border-top-color:var(--quarto-border-color)}table.gt_table td.gt_row{border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-width:0px}table.gt_table tbody.gt_table_body{border-top-width:1px;border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-color:currentColor}div.columns{display:initial;gap:initial}div.column{display:inline-block;overflow-x:initial;vertical-align:top;width:50%}.code-annotation-tip-content{word-wrap:break-word}.code-annotation-container-hidden{display:none !important}dl.code-annotation-container-grid{display:grid;grid-template-columns:min-content auto}dl.code-annotation-container-grid dt{grid-column:1}dl.code-annotation-container-grid dd{grid-column:2}pre.sourceCode.code-annotation-code{padding-right:0}code.sourceCode .code-annotation-anchor{z-index:100;position:absolute;right:.5em;left:inherit;background-color:rgba(0,0,0,0)}:root{--mermaid-bg-color: #222;--mermaid-edge-color: #434343;--mermaid-node-fg-color: #fff;--mermaid-fg-color: #fff;--mermaid-fg-color--lighter: white;--mermaid-fg-color--lightest: white;--mermaid-font-family: Lato, -apple-system, BlinkMacSystemFont, Segoe UI, Roboto, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol;--mermaid-label-bg-color: #222;--mermaid-label-fg-color: #375a7f;--mermaid-node-bg-color: rgba(55, 90, 127, 0.1);--mermaid-node-fg-color: #fff}@media print{:root{font-size:11pt}#quarto-sidebar,#TOC,.nav-page{display:none}.page-columns .content{grid-column-start:page-start}.fixed-top{position:relative}.panel-caption,.figure-caption,figcaption{color:#666}}.code-copy-button{position:absolute;top:0;right:0;border:0;margin-top:5px;margin-right:5px;background-color:rgba(0,0,0,0);z-index:3}.code-copy-button:focus{outline:none}.code-copy-button-tooltip{font-size:.75em}pre.sourceCode:hover>.code-copy-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:1rem 1rem}pre.sourceCode:hover>.code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,')}pre.sourceCode:hover>.code-copy-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}pre.sourceCode:hover>.code-copy-button-checked:hover>.bi::before{background-image:url('data:image/svg+xml,')}main ol ol,main ul ul,main ol ul,main ul ol{margin-bottom:1em}ul>li:not(:has(>p))>ul,ol>li:not(:has(>p))>ul,ul>li:not(:has(>p))>ol,ol>li:not(:has(>p))>ol{margin-bottom:0}ul>li:not(:has(>p))>ul>li:has(>p),ol>li:not(:has(>p))>ul>li:has(>p),ul>li:not(:has(>p))>ol>li:has(>p),ol>li:not(:has(>p))>ol>li:has(>p){margin-top:1rem}body{margin:0}main.page-columns>header>h1.title,main.page-columns>header>.title.h1{margin-bottom:0}@media(min-width: 992px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] 35px [page-end-inset page-end] 5fr [screen-end-inset] 1.5em}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 3em [body-end] 50px [body-end-outset] minmax(0px, 250px) [page-end-inset] minmax(50px, 100px) [page-end] 1fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(50px, 100px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(50px, 150px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 991.98px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 1250px - 3em )) [body-content-end body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1.5em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 4fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 4fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 4fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 767.98px){body .page-columns,body.fullcontent:not(.floating):not(.docked) .page-columns,body.slimcontent:not(.floating):not(.docked) .page-columns,body.docked .page-columns,body.docked.slimcontent .page-columns,body.docked.fullcontent .page-columns,body.floating .page-columns,body.floating.slimcontent .page-columns,body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}nav[role=doc-toc]{display:none}}body,.page-row-navigation{grid-template-rows:[page-top] max-content [contents-top] max-content [contents-bottom] max-content [page-bottom]}.page-rows-contents{grid-template-rows:[content-top] minmax(max-content, 1fr) [content-bottom] minmax(60px, max-content) [page-bottom]}.page-full{grid-column:screen-start/screen-end !important}.page-columns>*{grid-column:body-content-start/body-content-end}.page-columns.column-page>*{grid-column:page-start/page-end}.page-columns.column-page-left>*{grid-column:page-start/body-content-end}.page-columns.column-page-right>*{grid-column:body-content-start/page-end}.page-rows{grid-auto-rows:auto}.header{grid-column:screen-start/screen-end;grid-row:page-top/contents-top}#quarto-content{padding:0;grid-column:screen-start/screen-end;grid-row:contents-top/contents-bottom}body.floating .sidebar.sidebar-navigation{grid-column:page-start/body-start;grid-row:content-top/page-bottom}body.docked .sidebar.sidebar-navigation{grid-column:screen-start/body-start;grid-row:content-top/page-bottom}.sidebar.toc-left{grid-column:page-start/body-start;grid-row:content-top/page-bottom}.sidebar.margin-sidebar{grid-column:body-end/page-end;grid-row:content-top/page-bottom}.page-columns .content{grid-column:body-content-start/body-content-end;grid-row:content-top/content-bottom;align-content:flex-start}.page-columns .page-navigation{grid-column:body-content-start/body-content-end;grid-row:content-bottom/page-bottom}.page-columns .footer{grid-column:screen-start/screen-end;grid-row:contents-bottom/page-bottom}.page-columns .column-body{grid-column:body-content-start/body-content-end}.page-columns .column-body-fullbleed{grid-column:body-start/body-end}.page-columns .column-body-outset{grid-column:body-start-outset/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset table{background:#222}.page-columns .column-body-outset-left{grid-column:body-start-outset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-left table{background:#222}.page-columns .column-body-outset-right{grid-column:body-content-start/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-right table{background:#222}.page-columns .column-page{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page table{background:#222}.page-columns .column-page-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset table{background:#222}.page-columns .column-page-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-left table{background:#222}.page-columns .column-page-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-right figcaption table{background:#222}.page-columns .column-page-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-left table{background:#222}.page-columns .column-page-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-right figcaption table{background:#222}#quarto-content.page-columns #quarto-margin-sidebar,#quarto-content.page-columns #quarto-sidebar{z-index:1}@media(max-width: 991.98px){#quarto-content.page-columns #quarto-margin-sidebar.collapse,#quarto-content.page-columns #quarto-sidebar.collapse,#quarto-content.page-columns #quarto-margin-sidebar.collapsing,#quarto-content.page-columns #quarto-sidebar.collapsing{z-index:1055}}#quarto-content.page-columns main.column-page,#quarto-content.page-columns main.column-page-right,#quarto-content.page-columns main.column-page-left{z-index:0}.page-columns .column-screen-inset{grid-column:screen-start-inset/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#222}.page-columns .column-screen-inset-left{grid-column:screen-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#222}.page-columns .column-screen-inset-right{grid-column:body-content-start/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#222}.page-columns .column-screen{grid-column:screen-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#222}.page-columns .column-screen-left{grid-column:screen-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#222}.page-columns .column-screen-right{grid-column:body-content-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#222}.page-columns .column-screen-inset-shaded{grid-column:screen-start/screen-end;padding:1em;background:#6f6f6f;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}.zindex-content{z-index:998;transform:translate3d(0, 0, 0)}.zindex-modal{z-index:1055;transform:translate3d(0, 0, 0)}.zindex-over-content{z-index:999;transform:translate3d(0, 0, 0)}img.img-fluid.column-screen,img.img-fluid.column-screen-inset-shaded,img.img-fluid.column-screen-inset,img.img-fluid.column-screen-inset-left,img.img-fluid.column-screen-inset-right,img.img-fluid.column-screen-left,img.img-fluid.column-screen-right{width:100%}@media(min-width: 992px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.column-sidebar{grid-column:page-start/body-start !important;z-index:998}.column-leftmargin{grid-column:screen-start-inset/body-start !important;z-index:998}.no-row-height{height:1em;overflow:visible}}@media(max-width: 991.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.no-row-height{height:1em;overflow:visible}.page-columns.page-full{overflow:visible}.page-columns.toc-left .margin-caption,.page-columns.toc-left div.aside,.page-columns.toc-left aside,.page-columns.toc-left .column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.page-columns.toc-left .no-row-height{height:initial;overflow:initial}}@media(max-width: 767.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.no-row-height{height:initial;overflow:initial}#quarto-margin-sidebar{display:none}#quarto-sidebar-toc-left{display:none}.hidden-sm{display:none}}.panel-grid{display:grid;grid-template-rows:repeat(1, 1fr);grid-template-columns:repeat(24, 1fr);gap:1em}.panel-grid .g-col-1{grid-column:auto/span 1}.panel-grid .g-col-2{grid-column:auto/span 2}.panel-grid .g-col-3{grid-column:auto/span 3}.panel-grid .g-col-4{grid-column:auto/span 4}.panel-grid .g-col-5{grid-column:auto/span 5}.panel-grid .g-col-6{grid-column:auto/span 6}.panel-grid .g-col-7{grid-column:auto/span 7}.panel-grid .g-col-8{grid-column:auto/span 8}.panel-grid .g-col-9{grid-column:auto/span 9}.panel-grid .g-col-10{grid-column:auto/span 10}.panel-grid .g-col-11{grid-column:auto/span 11}.panel-grid .g-col-12{grid-column:auto/span 12}.panel-grid .g-col-13{grid-column:auto/span 13}.panel-grid .g-col-14{grid-column:auto/span 14}.panel-grid .g-col-15{grid-column:auto/span 15}.panel-grid .g-col-16{grid-column:auto/span 16}.panel-grid .g-col-17{grid-column:auto/span 17}.panel-grid .g-col-18{grid-column:auto/span 18}.panel-grid .g-col-19{grid-column:auto/span 19}.panel-grid .g-col-20{grid-column:auto/span 20}.panel-grid .g-col-21{grid-column:auto/span 21}.panel-grid .g-col-22{grid-column:auto/span 22}.panel-grid .g-col-23{grid-column:auto/span 23}.panel-grid .g-col-24{grid-column:auto/span 24}.panel-grid .g-start-1{grid-column-start:1}.panel-grid .g-start-2{grid-column-start:2}.panel-grid .g-start-3{grid-column-start:3}.panel-grid .g-start-4{grid-column-start:4}.panel-grid .g-start-5{grid-column-start:5}.panel-grid .g-start-6{grid-column-start:6}.panel-grid .g-start-7{grid-column-start:7}.panel-grid .g-start-8{grid-column-start:8}.panel-grid .g-start-9{grid-column-start:9}.panel-grid .g-start-10{grid-column-start:10}.panel-grid .g-start-11{grid-column-start:11}.panel-grid .g-start-12{grid-column-start:12}.panel-grid .g-start-13{grid-column-start:13}.panel-grid .g-start-14{grid-column-start:14}.panel-grid .g-start-15{grid-column-start:15}.panel-grid .g-start-16{grid-column-start:16}.panel-grid .g-start-17{grid-column-start:17}.panel-grid .g-start-18{grid-column-start:18}.panel-grid .g-start-19{grid-column-start:19}.panel-grid .g-start-20{grid-column-start:20}.panel-grid .g-start-21{grid-column-start:21}.panel-grid .g-start-22{grid-column-start:22}.panel-grid .g-start-23{grid-column-start:23}@media(min-width: 576px){.panel-grid .g-col-sm-1{grid-column:auto/span 1}.panel-grid .g-col-sm-2{grid-column:auto/span 2}.panel-grid .g-col-sm-3{grid-column:auto/span 3}.panel-grid .g-col-sm-4{grid-column:auto/span 4}.panel-grid .g-col-sm-5{grid-column:auto/span 5}.panel-grid .g-col-sm-6{grid-column:auto/span 6}.panel-grid .g-col-sm-7{grid-column:auto/span 7}.panel-grid .g-col-sm-8{grid-column:auto/span 8}.panel-grid .g-col-sm-9{grid-column:auto/span 9}.panel-grid .g-col-sm-10{grid-column:auto/span 10}.panel-grid .g-col-sm-11{grid-column:auto/span 11}.panel-grid .g-col-sm-12{grid-column:auto/span 12}.panel-grid .g-col-sm-13{grid-column:auto/span 13}.panel-grid .g-col-sm-14{grid-column:auto/span 14}.panel-grid .g-col-sm-15{grid-column:auto/span 15}.panel-grid .g-col-sm-16{grid-column:auto/span 16}.panel-grid .g-col-sm-17{grid-column:auto/span 17}.panel-grid .g-col-sm-18{grid-column:auto/span 18}.panel-grid .g-col-sm-19{grid-column:auto/span 19}.panel-grid .g-col-sm-20{grid-column:auto/span 20}.panel-grid .g-col-sm-21{grid-column:auto/span 21}.panel-grid .g-col-sm-22{grid-column:auto/span 22}.panel-grid .g-col-sm-23{grid-column:auto/span 23}.panel-grid .g-col-sm-24{grid-column:auto/span 24}.panel-grid .g-start-sm-1{grid-column-start:1}.panel-grid .g-start-sm-2{grid-column-start:2}.panel-grid .g-start-sm-3{grid-column-start:3}.panel-grid .g-start-sm-4{grid-column-start:4}.panel-grid .g-start-sm-5{grid-column-start:5}.panel-grid .g-start-sm-6{grid-column-start:6}.panel-grid .g-start-sm-7{grid-column-start:7}.panel-grid .g-start-sm-8{grid-column-start:8}.panel-grid .g-start-sm-9{grid-column-start:9}.panel-grid .g-start-sm-10{grid-column-start:10}.panel-grid .g-start-sm-11{grid-column-start:11}.panel-grid .g-start-sm-12{grid-column-start:12}.panel-grid .g-start-sm-13{grid-column-start:13}.panel-grid .g-start-sm-14{grid-column-start:14}.panel-grid .g-start-sm-15{grid-column-start:15}.panel-grid .g-start-sm-16{grid-column-start:16}.panel-grid .g-start-sm-17{grid-column-start:17}.panel-grid .g-start-sm-18{grid-column-start:18}.panel-grid .g-start-sm-19{grid-column-start:19}.panel-grid .g-start-sm-20{grid-column-start:20}.panel-grid .g-start-sm-21{grid-column-start:21}.panel-grid .g-start-sm-22{grid-column-start:22}.panel-grid .g-start-sm-23{grid-column-start:23}}@media(min-width: 768px){.panel-grid .g-col-md-1{grid-column:auto/span 1}.panel-grid .g-col-md-2{grid-column:auto/span 2}.panel-grid .g-col-md-3{grid-column:auto/span 3}.panel-grid .g-col-md-4{grid-column:auto/span 4}.panel-grid .g-col-md-5{grid-column:auto/span 5}.panel-grid .g-col-md-6{grid-column:auto/span 6}.panel-grid .g-col-md-7{grid-column:auto/span 7}.panel-grid .g-col-md-8{grid-column:auto/span 8}.panel-grid .g-col-md-9{grid-column:auto/span 9}.panel-grid .g-col-md-10{grid-column:auto/span 10}.panel-grid .g-col-md-11{grid-column:auto/span 11}.panel-grid .g-col-md-12{grid-column:auto/span 12}.panel-grid .g-col-md-13{grid-column:auto/span 13}.panel-grid .g-col-md-14{grid-column:auto/span 14}.panel-grid .g-col-md-15{grid-column:auto/span 15}.panel-grid .g-col-md-16{grid-column:auto/span 16}.panel-grid .g-col-md-17{grid-column:auto/span 17}.panel-grid .g-col-md-18{grid-column:auto/span 18}.panel-grid .g-col-md-19{grid-column:auto/span 19}.panel-grid .g-col-md-20{grid-column:auto/span 20}.panel-grid .g-col-md-21{grid-column:auto/span 21}.panel-grid .g-col-md-22{grid-column:auto/span 22}.panel-grid .g-col-md-23{grid-column:auto/span 23}.panel-grid .g-col-md-24{grid-column:auto/span 24}.panel-grid .g-start-md-1{grid-column-start:1}.panel-grid .g-start-md-2{grid-column-start:2}.panel-grid .g-start-md-3{grid-column-start:3}.panel-grid .g-start-md-4{grid-column-start:4}.panel-grid .g-start-md-5{grid-column-start:5}.panel-grid .g-start-md-6{grid-column-start:6}.panel-grid .g-start-md-7{grid-column-start:7}.panel-grid .g-start-md-8{grid-column-start:8}.panel-grid .g-start-md-9{grid-column-start:9}.panel-grid .g-start-md-10{grid-column-start:10}.panel-grid .g-start-md-11{grid-column-start:11}.panel-grid .g-start-md-12{grid-column-start:12}.panel-grid .g-start-md-13{grid-column-start:13}.panel-grid .g-start-md-14{grid-column-start:14}.panel-grid .g-start-md-15{grid-column-start:15}.panel-grid .g-start-md-16{grid-column-start:16}.panel-grid .g-start-md-17{grid-column-start:17}.panel-grid .g-start-md-18{grid-column-start:18}.panel-grid .g-start-md-19{grid-column-start:19}.panel-grid .g-start-md-20{grid-column-start:20}.panel-grid .g-start-md-21{grid-column-start:21}.panel-grid .g-start-md-22{grid-column-start:22}.panel-grid .g-start-md-23{grid-column-start:23}}@media(min-width: 992px){.panel-grid .g-col-lg-1{grid-column:auto/span 1}.panel-grid .g-col-lg-2{grid-column:auto/span 2}.panel-grid .g-col-lg-3{grid-column:auto/span 3}.panel-grid .g-col-lg-4{grid-column:auto/span 4}.panel-grid .g-col-lg-5{grid-column:auto/span 5}.panel-grid .g-col-lg-6{grid-column:auto/span 6}.panel-grid .g-col-lg-7{grid-column:auto/span 7}.panel-grid .g-col-lg-8{grid-column:auto/span 8}.panel-grid .g-col-lg-9{grid-column:auto/span 9}.panel-grid .g-col-lg-10{grid-column:auto/span 10}.panel-grid .g-col-lg-11{grid-column:auto/span 11}.panel-grid .g-col-lg-12{grid-column:auto/span 12}.panel-grid .g-col-lg-13{grid-column:auto/span 13}.panel-grid .g-col-lg-14{grid-column:auto/span 14}.panel-grid .g-col-lg-15{grid-column:auto/span 15}.panel-grid .g-col-lg-16{grid-column:auto/span 16}.panel-grid .g-col-lg-17{grid-column:auto/span 17}.panel-grid .g-col-lg-18{grid-column:auto/span 18}.panel-grid .g-col-lg-19{grid-column:auto/span 19}.panel-grid .g-col-lg-20{grid-column:auto/span 20}.panel-grid .g-col-lg-21{grid-column:auto/span 21}.panel-grid .g-col-lg-22{grid-column:auto/span 22}.panel-grid .g-col-lg-23{grid-column:auto/span 23}.panel-grid .g-col-lg-24{grid-column:auto/span 24}.panel-grid .g-start-lg-1{grid-column-start:1}.panel-grid .g-start-lg-2{grid-column-start:2}.panel-grid .g-start-lg-3{grid-column-start:3}.panel-grid .g-start-lg-4{grid-column-start:4}.panel-grid .g-start-lg-5{grid-column-start:5}.panel-grid .g-start-lg-6{grid-column-start:6}.panel-grid .g-start-lg-7{grid-column-start:7}.panel-grid .g-start-lg-8{grid-column-start:8}.panel-grid .g-start-lg-9{grid-column-start:9}.panel-grid .g-start-lg-10{grid-column-start:10}.panel-grid .g-start-lg-11{grid-column-start:11}.panel-grid .g-start-lg-12{grid-column-start:12}.panel-grid .g-start-lg-13{grid-column-start:13}.panel-grid .g-start-lg-14{grid-column-start:14}.panel-grid .g-start-lg-15{grid-column-start:15}.panel-grid .g-start-lg-16{grid-column-start:16}.panel-grid .g-start-lg-17{grid-column-start:17}.panel-grid .g-start-lg-18{grid-column-start:18}.panel-grid .g-start-lg-19{grid-column-start:19}.panel-grid .g-start-lg-20{grid-column-start:20}.panel-grid .g-start-lg-21{grid-column-start:21}.panel-grid .g-start-lg-22{grid-column-start:22}.panel-grid .g-start-lg-23{grid-column-start:23}}@media(min-width: 1200px){.panel-grid .g-col-xl-1{grid-column:auto/span 1}.panel-grid .g-col-xl-2{grid-column:auto/span 2}.panel-grid .g-col-xl-3{grid-column:auto/span 3}.panel-grid .g-col-xl-4{grid-column:auto/span 4}.panel-grid .g-col-xl-5{grid-column:auto/span 5}.panel-grid .g-col-xl-6{grid-column:auto/span 6}.panel-grid .g-col-xl-7{grid-column:auto/span 7}.panel-grid .g-col-xl-8{grid-column:auto/span 8}.panel-grid .g-col-xl-9{grid-column:auto/span 9}.panel-grid .g-col-xl-10{grid-column:auto/span 10}.panel-grid .g-col-xl-11{grid-column:auto/span 11}.panel-grid .g-col-xl-12{grid-column:auto/span 12}.panel-grid .g-col-xl-13{grid-column:auto/span 13}.panel-grid .g-col-xl-14{grid-column:auto/span 14}.panel-grid .g-col-xl-15{grid-column:auto/span 15}.panel-grid .g-col-xl-16{grid-column:auto/span 16}.panel-grid .g-col-xl-17{grid-column:auto/span 17}.panel-grid .g-col-xl-18{grid-column:auto/span 18}.panel-grid .g-col-xl-19{grid-column:auto/span 19}.panel-grid .g-col-xl-20{grid-column:auto/span 20}.panel-grid .g-col-xl-21{grid-column:auto/span 21}.panel-grid .g-col-xl-22{grid-column:auto/span 22}.panel-grid .g-col-xl-23{grid-column:auto/span 23}.panel-grid .g-col-xl-24{grid-column:auto/span 24}.panel-grid .g-start-xl-1{grid-column-start:1}.panel-grid .g-start-xl-2{grid-column-start:2}.panel-grid .g-start-xl-3{grid-column-start:3}.panel-grid .g-start-xl-4{grid-column-start:4}.panel-grid .g-start-xl-5{grid-column-start:5}.panel-grid .g-start-xl-6{grid-column-start:6}.panel-grid .g-start-xl-7{grid-column-start:7}.panel-grid .g-start-xl-8{grid-column-start:8}.panel-grid .g-start-xl-9{grid-column-start:9}.panel-grid .g-start-xl-10{grid-column-start:10}.panel-grid .g-start-xl-11{grid-column-start:11}.panel-grid .g-start-xl-12{grid-column-start:12}.panel-grid .g-start-xl-13{grid-column-start:13}.panel-grid .g-start-xl-14{grid-column-start:14}.panel-grid .g-start-xl-15{grid-column-start:15}.panel-grid .g-start-xl-16{grid-column-start:16}.panel-grid .g-start-xl-17{grid-column-start:17}.panel-grid .g-start-xl-18{grid-column-start:18}.panel-grid .g-start-xl-19{grid-column-start:19}.panel-grid .g-start-xl-20{grid-column-start:20}.panel-grid .g-start-xl-21{grid-column-start:21}.panel-grid .g-start-xl-22{grid-column-start:22}.panel-grid .g-start-xl-23{grid-column-start:23}}@media(min-width: 1400px){.panel-grid .g-col-xxl-1{grid-column:auto/span 1}.panel-grid .g-col-xxl-2{grid-column:auto/span 2}.panel-grid .g-col-xxl-3{grid-column:auto/span 3}.panel-grid .g-col-xxl-4{grid-column:auto/span 4}.panel-grid .g-col-xxl-5{grid-column:auto/span 5}.panel-grid .g-col-xxl-6{grid-column:auto/span 6}.panel-grid .g-col-xxl-7{grid-column:auto/span 7}.panel-grid .g-col-xxl-8{grid-column:auto/span 8}.panel-grid .g-col-xxl-9{grid-column:auto/span 9}.panel-grid .g-col-xxl-10{grid-column:auto/span 10}.panel-grid .g-col-xxl-11{grid-column:auto/span 11}.panel-grid .g-col-xxl-12{grid-column:auto/span 12}.panel-grid .g-col-xxl-13{grid-column:auto/span 13}.panel-grid .g-col-xxl-14{grid-column:auto/span 14}.panel-grid .g-col-xxl-15{grid-column:auto/span 15}.panel-grid .g-col-xxl-16{grid-column:auto/span 16}.panel-grid .g-col-xxl-17{grid-column:auto/span 17}.panel-grid .g-col-xxl-18{grid-column:auto/span 18}.panel-grid .g-col-xxl-19{grid-column:auto/span 19}.panel-grid .g-col-xxl-20{grid-column:auto/span 20}.panel-grid .g-col-xxl-21{grid-column:auto/span 21}.panel-grid .g-col-xxl-22{grid-column:auto/span 22}.panel-grid .g-col-xxl-23{grid-column:auto/span 23}.panel-grid .g-col-xxl-24{grid-column:auto/span 24}.panel-grid .g-start-xxl-1{grid-column-start:1}.panel-grid .g-start-xxl-2{grid-column-start:2}.panel-grid .g-start-xxl-3{grid-column-start:3}.panel-grid .g-start-xxl-4{grid-column-start:4}.panel-grid .g-start-xxl-5{grid-column-start:5}.panel-grid .g-start-xxl-6{grid-column-start:6}.panel-grid .g-start-xxl-7{grid-column-start:7}.panel-grid .g-start-xxl-8{grid-column-start:8}.panel-grid .g-start-xxl-9{grid-column-start:9}.panel-grid .g-start-xxl-10{grid-column-start:10}.panel-grid .g-start-xxl-11{grid-column-start:11}.panel-grid .g-start-xxl-12{grid-column-start:12}.panel-grid .g-start-xxl-13{grid-column-start:13}.panel-grid .g-start-xxl-14{grid-column-start:14}.panel-grid .g-start-xxl-15{grid-column-start:15}.panel-grid .g-start-xxl-16{grid-column-start:16}.panel-grid .g-start-xxl-17{grid-column-start:17}.panel-grid .g-start-xxl-18{grid-column-start:18}.panel-grid .g-start-xxl-19{grid-column-start:19}.panel-grid .g-start-xxl-20{grid-column-start:20}.panel-grid .g-start-xxl-21{grid-column-start:21}.panel-grid .g-start-xxl-22{grid-column-start:22}.panel-grid .g-start-xxl-23{grid-column-start:23}}main{margin-top:1em;margin-bottom:1em}h1,.h1,h2,.h2{opacity:.9;margin-top:2rem;margin-bottom:1rem;font-weight:600}h1.title,.title.h1{margin-top:0}h2,.h2{border-bottom:1px solid #434343;padding-bottom:.5rem}h3,.h3{font-weight:600}h3,.h3,h4,.h4{opacity:.9;margin-top:1.5rem}h5,.h5,h6,.h6{opacity:.9}.header-section-number{color:#bfbfbf}.nav-link.active .header-section-number{color:inherit}mark,.mark{padding:0em}.panel-caption,caption,.figure-caption{font-size:.9rem}.panel-caption,.figure-caption,figcaption{color:#bfbfbf}.table-caption,caption{color:#fff}.quarto-layout-cell[data-ref-parent] caption{color:#bfbfbf}.column-margin figcaption,.margin-caption,div.aside,aside,.column-margin{color:#bfbfbf;font-size:.825rem}.panel-caption.margin-caption{text-align:inherit}.column-margin.column-container p{margin-bottom:0}.column-margin.column-container>*:not(.collapse){padding-top:.5em;padding-bottom:.5em;display:block}.column-margin.column-container>*.collapse:not(.show){display:none}@media(min-width: 768px){.column-margin.column-container .callout-margin-content:first-child{margin-top:4.5em}.column-margin.column-container .callout-margin-content-simple:first-child{margin-top:3.5em}}.margin-caption>*{padding-top:.5em;padding-bottom:.5em}@media(max-width: 767.98px){.quarto-layout-row{flex-direction:column}}.nav-tabs .nav-item{margin-top:1px;cursor:pointer}.tab-content{margin-top:0px;border-left:#434343 1px solid;border-right:#434343 1px solid;border-bottom:#434343 1px solid;margin-left:0;padding:1em;margin-bottom:1em}@media(max-width: 767.98px){.layout-sidebar{margin-left:0;margin-right:0}}.panel-sidebar,.panel-sidebar .form-control,.panel-input,.panel-input .form-control,.selectize-dropdown{font-size:.9rem}.panel-sidebar .form-control,.panel-input .form-control{padding-top:.1rem}.tab-pane div.sourceCode{margin-top:0px}.tab-pane>p{padding-top:1em}.tab-content>.tab-pane:not(.active){display:none !important}div.sourceCode{background-color:#000;border:1px solid #000;border-radius:.25rem}pre.sourceCode{background-color:rgba(0,0,0,0)}pre.sourceCode{border:none;font-size:.875em;overflow:visible !important;padding:.4em}.callout pre.sourceCode{padding-left:0}div.sourceCode{overflow-y:hidden}.callout div.sourceCode{margin-left:initial}.blockquote{font-size:inherit;padding-left:1rem;padding-right:1.5rem;color:#bfbfbf}.blockquote h1:first-child,.blockquote .h1:first-child,.blockquote h2:first-child,.blockquote .h2:first-child,.blockquote h3:first-child,.blockquote .h3:first-child,.blockquote h4:first-child,.blockquote .h4:first-child,.blockquote h5:first-child,.blockquote .h5:first-child{margin-top:0}pre{background-color:initial;padding:initial;border:initial}p code:not(.sourceCode),li code:not(.sourceCode),td code:not(.sourceCode){background-color:#000;padding:.2em}nav p code:not(.sourceCode),nav li code:not(.sourceCode),nav td code:not(.sourceCode){background-color:rgba(0,0,0,0);padding:0}td code:not(.sourceCode){white-space:pre-wrap}#quarto-embedded-source-code-modal>.modal-dialog{max-width:1000px;padding-left:1.75rem;padding-right:1.75rem}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body{padding:0}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body div.sourceCode{margin:0;padding:.2rem .2rem;border-radius:0px;border:none}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-header{padding:.7rem}.code-tools-button{font-size:1rem;padding:.15rem .15rem;margin-left:5px;color:#6c757d;background-color:rgba(0,0,0,0);transition:initial;cursor:pointer}.code-tools-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:1rem 1rem}.code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}#quarto-embedded-source-code-modal .code-copy-button>.bi::before{background-image:url('data:image/svg+xml,')}#quarto-embedded-source-code-modal .code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,')}.sidebar{will-change:top;transition:top 200ms linear;position:sticky;overflow-y:auto;padding-top:1.2em;max-height:100vh}.sidebar.toc-left,.sidebar.margin-sidebar{top:0px;padding-top:1em}.sidebar.toc-left>*,.sidebar.margin-sidebar>*{padding-top:.5em}.sidebar.quarto-banner-title-block-sidebar>*{padding-top:1.65em}figure .quarto-notebook-link{margin-top:.5em}.quarto-notebook-link{font-size:.75em;color:#6c757d;margin-bottom:1em;text-decoration:none;display:block}.quarto-notebook-link:hover{text-decoration:underline;color:#00bc8c}.quarto-notebook-link::before{display:inline-block;height:.75rem;width:.75rem;margin-bottom:0em;margin-right:.25em;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:.75rem .75rem}.quarto-alternate-notebooks i.bi,.quarto-alternate-formats i.bi{margin-right:.4em}.quarto-notebook .cell-container{display:flex}.quarto-notebook .cell-container .cell{flex-grow:4}.quarto-notebook .cell-container .cell-decorator{padding-top:1.5em;padding-right:1em;text-align:right}.quarto-notebook h2,.quarto-notebook .h2{border-bottom:none}.sidebar .quarto-alternate-formats a,.sidebar .quarto-alternate-notebooks a{text-decoration:none}.sidebar .quarto-alternate-formats a:hover,.sidebar .quarto-alternate-notebooks a:hover{color:#00bc8c}.sidebar .quarto-alternate-notebooks h2,.sidebar .quarto-alternate-notebooks .h2,.sidebar .quarto-alternate-formats h2,.sidebar .quarto-alternate-formats .h2,.sidebar nav[role=doc-toc]>h2,.sidebar nav[role=doc-toc]>.h2{font-size:.875rem;font-weight:400;margin-bottom:.5rem;margin-top:.3rem;font-family:inherit;border-bottom:0;padding-bottom:0;padding-top:0px}.sidebar .quarto-alternate-notebooks h2,.sidebar .quarto-alternate-notebooks .h2,.sidebar .quarto-alternate-formats h2,.sidebar .quarto-alternate-formats .h2{margin-top:1rem}.sidebar nav[role=doc-toc]>ul a{border-left:1px solid #ebebeb;padding-left:.6rem}.sidebar .quarto-alternate-notebooks h2>ul a,.sidebar .quarto-alternate-notebooks .h2>ul a,.sidebar .quarto-alternate-formats h2>ul a,.sidebar .quarto-alternate-formats .h2>ul a{border-left:none;padding-left:.6rem}.sidebar .quarto-alternate-notebooks ul a:empty,.sidebar .quarto-alternate-formats ul a:empty,.sidebar nav[role=doc-toc]>ul a:empty{display:none}.sidebar .quarto-alternate-notebooks ul,.sidebar .quarto-alternate-formats ul,.sidebar nav[role=doc-toc] ul{padding-left:0;list-style:none;font-size:.875rem;font-weight:300}.sidebar .quarto-alternate-notebooks ul li a,.sidebar .quarto-alternate-formats ul li a,.sidebar nav[role=doc-toc]>ul li a{line-height:1.1rem;padding-bottom:.2rem;padding-top:.2rem;color:inherit}.sidebar nav[role=doc-toc] ul>li>ul>li>a{padding-left:1.2em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>a{padding-left:2.4em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>a{padding-left:3.6em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:4.8em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:6em}.sidebar nav[role=doc-toc] ul>li>a.active,.sidebar nav[role=doc-toc] ul>li>ul>li>a.active{border-left:1px solid #00bc8c;color:#00bc8c !important}.sidebar nav[role=doc-toc] ul>li>a:hover,.sidebar nav[role=doc-toc] ul>li>ul>li>a:hover{color:#00bc8c !important}kbd,.kbd{color:#fff;background-color:#f8f9fa;border:1px solid;border-radius:5px;border-color:#434343}div.hanging-indent{margin-left:1em;text-indent:-1em}.citation a,.footnote-ref{text-decoration:none}.footnotes ol{padding-left:1em}.tippy-content>*{margin-bottom:.7em}.tippy-content>*:last-child{margin-bottom:0}.table a{word-break:break-word}.table>thead{border-top-width:1px;border-top-color:#434343;border-bottom:1px solid #fff}.callout{margin-top:1.25rem;margin-bottom:1.25rem;border-radius:.25rem;overflow-wrap:break-word}.callout .callout-title-container{overflow-wrap:anywhere}.callout.callout-style-simple{padding:.4em .7em;border-left:5px solid;border-right:1px solid #434343;border-top:1px solid #434343;border-bottom:1px solid #434343}.callout.callout-style-default{border-left:5px solid;border-right:1px solid #434343;border-top:1px solid #434343;border-bottom:1px solid #434343}.callout .callout-body-container{flex-grow:1}.callout.callout-style-simple .callout-body{font-size:.9rem;font-weight:400}.callout.callout-style-default .callout-body{font-size:.9rem;font-weight:400}.callout.callout-titled .callout-body{margin-top:.2em}.callout:not(.no-icon).callout-titled.callout-style-simple .callout-body{padding-left:1.6em}.callout.callout-titled>.callout-header{padding-top:.2em;margin-bottom:-0.2em}.callout.callout-style-simple>div.callout-header{border-bottom:none;font-size:.9rem;font-weight:600;opacity:75%}.callout.callout-style-default>div.callout-header{border-bottom:none;font-weight:600;opacity:85%;font-size:.9rem;padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body{padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body>:first-child{margin-top:.5em}.callout>div.callout-header[data-bs-toggle=collapse]{cursor:pointer}.callout.callout-style-default .callout-header[aria-expanded=false],.callout.callout-style-default .callout-header[aria-expanded=true]{padding-top:0px;margin-bottom:0px;align-items:center}.callout.callout-titled .callout-body>:last-child:not(.sourceCode),.callout.callout-titled .callout-body>div>:last-child:not(.sourceCode){margin-bottom:.5rem}.callout:not(.callout-titled) .callout-body>:first-child,.callout:not(.callout-titled) .callout-body>div>:first-child{margin-top:.25rem}.callout:not(.callout-titled) .callout-body>:last-child,.callout:not(.callout-titled) .callout-body>div>:last-child{margin-bottom:.2rem}.callout.callout-style-simple .callout-icon::before,.callout.callout-style-simple .callout-toggle::before{height:1rem;width:1rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.callout.callout-style-default .callout-icon::before,.callout.callout-style-default .callout-toggle::before{height:.9rem;width:.9rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:.9rem .9rem}.callout.callout-style-default .callout-toggle::before{margin-top:5px}.callout .callout-btn-toggle .callout-toggle::before{transition:transform .2s linear}.callout .callout-header[aria-expanded=false] .callout-toggle::before{transform:rotate(-90deg)}.callout .callout-header[aria-expanded=true] .callout-toggle::before{transform:none}.callout.callout-style-simple:not(.no-icon) div.callout-icon-container{padding-top:.2em;padding-right:.55em}.callout.callout-style-default:not(.no-icon) div.callout-icon-container{padding-top:.1em;padding-right:.35em}.callout.callout-style-default:not(.no-icon) div.callout-title-container{margin-top:-1px}.callout.callout-style-default.callout-caution:not(.no-icon) div.callout-icon-container{padding-top:.3em;padding-right:.35em}.callout>.callout-body>.callout-icon-container>.no-icon,.callout>.callout-header>.callout-icon-container>.no-icon{display:none}div.callout.callout{border-left-color:#6c757d}div.callout.callout-style-default>.callout-header{background-color:#6c757d}div.callout-note.callout{border-left-color:#375a7f}div.callout-note.callout-style-default>.callout-header{background-color:#111b26}div.callout-note:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-note.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-note .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-tip.callout{border-left-color:#00bc8c}div.callout-tip.callout-style-default>.callout-header{background-color:#00382a}div.callout-tip:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-tip.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-tip .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-warning.callout{border-left-color:#f39c12}div.callout-warning.callout-style-default>.callout-header{background-color:#492f05}div.callout-warning:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-warning.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-warning .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-caution.callout{border-left-color:#fd7e14}div.callout-caution.callout-style-default>.callout-header{background-color:#4c2606}div.callout-caution:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-caution.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-caution .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-important.callout{border-left-color:#e74c3c}div.callout-important.callout-style-default>.callout-header{background-color:#451712}div.callout-important:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-important.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-important .callout-toggle::before{background-image:url('data:image/svg+xml,')}.quarto-toggle-container{display:flex;align-items:center}.quarto-reader-toggle .bi::before,.quarto-color-scheme-toggle .bi::before{display:inline-block;height:1rem;width:1rem;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.sidebar-navigation{padding-left:20px}.navbar .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,')}.navbar .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,')}.sidebar-navigation .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,')}.sidebar-navigation .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,')}.quarto-sidebar-toggle{border-color:#dee2e6;border-bottom-left-radius:.25rem;border-bottom-right-radius:.25rem;border-style:solid;border-width:1px;overflow:hidden;border-top-width:0px;padding-top:0px !important}.quarto-sidebar-toggle-title{cursor:pointer;padding-bottom:2px;margin-left:.25em;text-align:center;font-weight:400;font-size:.775em}#quarto-content .quarto-sidebar-toggle{background:#272727}#quarto-content .quarto-sidebar-toggle-title{color:#fff}.quarto-sidebar-toggle-icon{color:#dee2e6;margin-right:.5em;float:right;transition:transform .2s ease}.quarto-sidebar-toggle-icon::before{padding-top:5px}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-icon{transform:rotate(-180deg)}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-title{border-bottom:solid #dee2e6 1px}.quarto-sidebar-toggle-contents{background-color:#222;padding-right:10px;padding-left:10px;margin-top:0px !important;transition:max-height .5s ease}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-contents{padding-top:1em;padding-bottom:10px}.quarto-sidebar-toggle:not(.expanded) .quarto-sidebar-toggle-contents{padding-top:0px !important;padding-bottom:0px}nav[role=doc-toc]{z-index:1020}#quarto-sidebar>*,nav[role=doc-toc]>*{transition:opacity .1s ease,border .1s ease}#quarto-sidebar.slow>*,nav[role=doc-toc].slow>*{transition:opacity .4s ease,border .4s ease}.quarto-color-scheme-toggle:not(.alternate).top-right .bi::before{background-image:url('data:image/svg+xml,')}.quarto-color-scheme-toggle.alternate.top-right .bi::before{background-image:url('data:image/svg+xml,')}#quarto-appendix.default{border-top:1px solid #dee2e6}#quarto-appendix.default{background-color:#222;padding-top:1.5em;margin-top:2em;z-index:998}#quarto-appendix.default .quarto-appendix-heading{margin-top:0;line-height:1.4em;font-weight:600;opacity:.9;border-bottom:none;margin-bottom:0}#quarto-appendix.default .footnotes ol,#quarto-appendix.default .footnotes ol li>p:last-of-type,#quarto-appendix.default .quarto-appendix-contents>p:last-of-type{margin-bottom:0}#quarto-appendix.default .quarto-appendix-secondary-label{margin-bottom:.4em}#quarto-appendix.default .quarto-appendix-bibtex{font-size:.7em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-bibtex code.sourceCode{white-space:pre-wrap}#quarto-appendix.default .quarto-appendix-citeas{font-size:.9em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-heading{font-size:1em !important}#quarto-appendix.default *[role=doc-endnotes]>ol,#quarto-appendix.default .quarto-appendix-contents>*:not(h2):not(.h2){font-size:.9em}#quarto-appendix.default section{padding-bottom:1.5em}#quarto-appendix.default section *[role=doc-endnotes],#quarto-appendix.default section>*:not(a){opacity:.9;word-wrap:break-word}.btn.btn-quarto,div.cell-output-display .btn-quarto{color:#d9d9d9;background-color:#434343;border-color:#434343}.btn.btn-quarto:hover,div.cell-output-display .btn-quarto:hover{color:#d9d9d9;background-color:#5f5f5f;border-color:#565656}.btn-check:focus+.btn.btn-quarto,.btn.btn-quarto:focus,.btn-check:focus+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:focus{color:#d9d9d9;background-color:#5f5f5f;border-color:#565656;box-shadow:0 0 0 .25rem rgba(90,90,90,.5)}.btn-check:checked+.btn.btn-quarto,.btn-check:active+.btn.btn-quarto,.btn.btn-quarto:active,.btn.btn-quarto.active,.show>.btn.btn-quarto.dropdown-toggle,.btn-check:checked+div.cell-output-display .btn-quarto,.btn-check:active+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:active,div.cell-output-display .btn-quarto.active,.show>div.cell-output-display .btn-quarto.dropdown-toggle{color:#fff;background-color:dimgray;border-color:#565656}.btn-check:checked+.btn.btn-quarto:focus,.btn-check:active+.btn.btn-quarto:focus,.btn.btn-quarto:active:focus,.btn.btn-quarto.active:focus,.show>.btn.btn-quarto.dropdown-toggle:focus,.btn-check:checked+div.cell-output-display .btn-quarto:focus,.btn-check:active+div.cell-output-display .btn-quarto:focus,div.cell-output-display .btn-quarto:active:focus,div.cell-output-display .btn-quarto.active:focus,.show>div.cell-output-display .btn-quarto.dropdown-toggle:focus{box-shadow:0 0 0 .25rem rgba(90,90,90,.5)}.btn.btn-quarto:disabled,.btn.btn-quarto.disabled,div.cell-output-display .btn-quarto:disabled,div.cell-output-display .btn-quarto.disabled{color:#fff;background-color:#434343;border-color:#434343}nav.quarto-secondary-nav.color-navbar{background-color:#375a7f;color:#dee2e6}nav.quarto-secondary-nav.color-navbar h1,nav.quarto-secondary-nav.color-navbar .h1,nav.quarto-secondary-nav.color-navbar .quarto-btn-toggle{color:#dee2e6}@media(max-width: 991.98px){body.nav-sidebar .quarto-title-banner{margin-bottom:0;padding-bottom:0}body.nav-sidebar #title-block-header{margin-block-end:0}}p.subtitle{margin-top:.25em;margin-bottom:.5em}code a:any-link{color:inherit;text-decoration-color:#6c757d}/*! dark */div.observablehq table thead tr th{background-color:var(--bs-body-bg)}input,button,select,optgroup,textarea{background-color:var(--bs-body-bg)}.code-annotated .code-copy-button{margin-right:1.25em;margin-top:0;padding-bottom:0;padding-top:3px}.code-annotation-gutter-bg{background-color:#222}.code-annotation-gutter{background-color:#000}.code-annotation-gutter,.code-annotation-gutter-bg{height:100%;width:calc(20px + .5em);position:absolute;top:0;right:0}dl.code-annotation-container-grid dt{margin-right:1em;margin-top:.25rem}dl.code-annotation-container-grid dt{font-family:var(--bs-font-monospace);color:#e6e6e6;border:solid #e6e6e6 1px;border-radius:50%;height:22px;width:22px;line-height:22px;font-size:11px;text-align:center;vertical-align:middle;text-decoration:none}dl.code-annotation-container-grid dt[data-target-cell]{cursor:pointer}dl.code-annotation-container-grid dt[data-target-cell].code-annotation-active{color:#222;border:solid #aaa 1px;background-color:#aaa}pre.code-annotation-code{padding-top:0;padding-bottom:0}pre.code-annotation-code code{z-index:3}#code-annotation-line-highlight-gutter{width:100%;border-top:solid rgba(170,170,170,.2666666667) 1px;border-bottom:solid rgba(170,170,170,.2666666667) 1px;z-index:2;background-color:rgba(170,170,170,.1333333333)}#code-annotation-line-highlight{margin-left:-4em;width:calc(100% + 4em);border-top:solid rgba(170,170,170,.2666666667) 1px;border-bottom:solid rgba(170,170,170,.2666666667) 1px;z-index:2;background-color:rgba(170,170,170,.1333333333)}code.sourceCode .code-annotation-anchor.code-annotation-active{background-color:var(--quarto-hl-normal-color, #aaaaaa);border:solid var(--quarto-hl-normal-color, #aaaaaa) 1px;color:#000;font-weight:bolder}code.sourceCode .code-annotation-anchor{font-family:var(--bs-font-monospace);color:var(--quarto-hl-co-color);border:solid var(--quarto-hl-co-color) 1px;border-radius:50%;height:18px;width:18px;font-size:9px;margin-top:2px}code.sourceCode button.code-annotation-anchor{padding:2px}code.sourceCode a.code-annotation-anchor{line-height:18px;text-align:center;vertical-align:middle;cursor:default;text-decoration:none}@media print{.page-columns .column-screen-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#222}.page-columns .column-screen-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#222}.page-columns .column-screen-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#222}.page-columns .column-screen{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#222}.page-columns .column-screen-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#222}.page-columns .column-screen-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#222}.page-columns .column-screen-inset-shaded{grid-column:page-start-inset/page-end-inset;padding:1em;background:#6f6f6f;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}}.quarto-video{margin-bottom:1em}.table>thead{border-top-width:0}.table>:not(caption)>*:not(:last-child)>*{border-bottom-color:#fff;border-bottom-style:solid;border-bottom-width:1px}.table>:not(:first-child){border-top:1px solid #fff;border-bottom:1px solid inherit}.table tbody{border-bottom-color:#fff}a.external:after{display:inline-block;height:.75rem;width:.75rem;margin-bottom:.15em;margin-left:.25em;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:.75rem .75rem}div.sourceCode code a.external:after{content:none}a.external:after:hover{cursor:pointer}.quarto-ext-icon{display:inline-block;font-size:.75em;padding-left:.3em}.code-with-filename .code-with-filename-file{margin-bottom:0;padding-bottom:2px;padding-top:2px;padding-left:.7em;border:var(--quarto-border-width) solid var(--quarto-border-color);border-radius:var(--quarto-border-radius);border-bottom:0;border-bottom-left-radius:0%;border-bottom-right-radius:0%}.code-with-filename div.sourceCode,.reveal .code-with-filename div.sourceCode{margin-top:0;border-top-left-radius:0%;border-top-right-radius:0%}.code-with-filename .code-with-filename-file pre{margin-bottom:0}.code-with-filename .code-with-filename-file,.code-with-filename .code-with-filename-file pre{background-color:rgba(219,219,219,.8)}.quarto-dark .code-with-filename .code-with-filename-file,.quarto-dark .code-with-filename .code-with-filename-file pre{background-color:#555}.code-with-filename .code-with-filename-file strong{font-weight:400}.blockquote-footer{color:#595959}.input-group-addon{color:#fff}.form-floating>label{color:#444}.nav-tabs .nav-link,.nav-tabs .nav-link.active,.nav-tabs .nav-link.active:focus,.nav-tabs .nav-link.active:hover,.nav-tabs .nav-item.open .nav-link,.nav-tabs .nav-item.open .nav-link:focus,.nav-tabs .nav-item.open .nav-link:hover,.nav-pills .nav-link,.nav-pills .nav-link.active,.nav-pills .nav-link.active:focus,.nav-pills .nav-link.active:hover,.nav-pills .nav-item.open .nav-link,.nav-pills .nav-item.open .nav-link:focus,.nav-pills .nav-item.open .nav-link:hover{color:#fff}.breadcrumb a{color:#fff}.pagination a:hover{text-decoration:none}.alert{border:none;color:#fff}.alert a,.alert .alert-link{color:#fff;text-decoration:underline}.alert-default{background-color:#434343}.alert-primary{background-color:#375a7f}.alert-secondary{background-color:#434343}.alert-success{background-color:#00bc8c}.alert-info{background-color:#3498db}.alert-warning{background-color:#f39c12}.alert-danger{background-color:#e74c3c}.alert-light{background-color:#6f6f6f}.alert-dark{background-color:#2d2d2d}.quarto-title-banner{margin-bottom:1em;color:#dee2e6;background:#375a7f}.quarto-title-banner .code-tools-button{color:#a4afba}.quarto-title-banner .code-tools-button:hover{color:#dee2e6}.quarto-title-banner .code-tools-button>.bi::before{background-image:url('data:image/svg+xml,')}.quarto-title-banner .code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}.quarto-title-banner .quarto-title .title{font-weight:600}.quarto-title-banner .quarto-categories{margin-top:.75em}@media(min-width: 992px){.quarto-title-banner{padding-top:2.5em;padding-bottom:2.5em}}@media(max-width: 991.98px){.quarto-title-banner{padding-top:1em;padding-bottom:1em}}main.quarto-banner-title-block>section:first-child>h2,main.quarto-banner-title-block>section:first-child>.h2,main.quarto-banner-title-block>section:first-child>h3,main.quarto-banner-title-block>section:first-child>.h3,main.quarto-banner-title-block>section:first-child>h4,main.quarto-banner-title-block>section:first-child>.h4{margin-top:0}.quarto-title .quarto-categories{display:flex;flex-wrap:wrap;row-gap:.5em;column-gap:.4em;padding-bottom:.5em;margin-top:.75em}.quarto-title .quarto-categories .quarto-category{padding:.25em .75em;font-size:.65em;text-transform:uppercase;border:solid 1px;border-radius:.25rem;opacity:.6}.quarto-title .quarto-categories .quarto-category a{color:inherit}#title-block-header.quarto-title-block.default .quarto-title-meta{display:grid;grid-template-columns:repeat(2, 1fr)}#title-block-header.quarto-title-block.default .quarto-title .title{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-author-orcid img{margin-top:-5px}#title-block-header.quarto-title-block.default .quarto-description p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p,#title-block-header.quarto-title-block.default .quarto-title-authors p,#title-block-header.quarto-title-block.default .quarto-title-affiliations p{margin-bottom:.1em}#title-block-header.quarto-title-block.default .quarto-title-meta-heading{text-transform:uppercase;margin-top:1em;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-contents{font-size:.9em}#title-block-header.quarto-title-block.default .quarto-title-meta-contents a{color:#fff}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p.affiliation:last-of-type{margin-bottom:.7em}#title-block-header.quarto-title-block.default p.affiliation{margin-bottom:.1em}#title-block-header.quarto-title-block.default .description,#title-block-header.quarto-title-block.default .abstract{margin-top:0}#title-block-header.quarto-title-block.default .description>p,#title-block-header.quarto-title-block.default .abstract>p{font-size:.9em}#title-block-header.quarto-title-block.default .description>p:last-of-type,#title-block-header.quarto-title-block.default .abstract>p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .description .abstract-title,#title-block-header.quarto-title-block.default .abstract .abstract-title{margin-top:1em;text-transform:uppercase;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-author{display:grid;grid-template-columns:1fr 1fr}.quarto-title-tools-only{display:flex;justify-content:right}/*# sourceMappingURL=4bfef878f23bf82584b07c8278ef38b6.css.map */ +*/.ansi-black-fg{color:#3e424d}.ansi-black-bg{background-color:#3e424d}.ansi-black-intense-fg{color:#282c36}.ansi-black-intense-bg{background-color:#282c36}.ansi-red-fg{color:#e75c58}.ansi-red-bg{background-color:#e75c58}.ansi-red-intense-fg{color:#b22b31}.ansi-red-intense-bg{background-color:#b22b31}.ansi-green-fg{color:#00a250}.ansi-green-bg{background-color:#00a250}.ansi-green-intense-fg{color:#007427}.ansi-green-intense-bg{background-color:#007427}.ansi-yellow-fg{color:#ddb62b}.ansi-yellow-bg{background-color:#ddb62b}.ansi-yellow-intense-fg{color:#b27d12}.ansi-yellow-intense-bg{background-color:#b27d12}.ansi-blue-fg{color:#208ffb}.ansi-blue-bg{background-color:#208ffb}.ansi-blue-intense-fg{color:#0065ca}.ansi-blue-intense-bg{background-color:#0065ca}.ansi-magenta-fg{color:#d160c4}.ansi-magenta-bg{background-color:#d160c4}.ansi-magenta-intense-fg{color:#a03196}.ansi-magenta-intense-bg{background-color:#a03196}.ansi-cyan-fg{color:#60c6c8}.ansi-cyan-bg{background-color:#60c6c8}.ansi-cyan-intense-fg{color:#258f8f}.ansi-cyan-intense-bg{background-color:#258f8f}.ansi-white-fg{color:#c5c1b4}.ansi-white-bg{background-color:#c5c1b4}.ansi-white-intense-fg{color:#a1a6b2}.ansi-white-intense-bg{background-color:#a1a6b2}.ansi-default-inverse-fg{color:#fff}.ansi-default-inverse-bg{background-color:#000}.ansi-bold{font-weight:bold}.ansi-underline{text-decoration:underline}:root{--quarto-body-bg: #222;--quarto-body-color: #fff;--quarto-text-muted: #6c757d;--quarto-border-color: #434343;--quarto-border-width: 1px;--quarto-border-radius: 0.25rem}table.gt_table{color:var(--quarto-body-color);font-size:1em;width:100%;background-color:rgba(0,0,0,0);border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_column_spanner_outer{color:var(--quarto-body-color);background-color:rgba(0,0,0,0);border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_col_heading{color:var(--quarto-body-color);font-weight:bold;background-color:rgba(0,0,0,0)}table.gt_table thead.gt_col_headings{border-bottom:1px solid currentColor;border-top-width:inherit;border-top-color:var(--quarto-border-color)}table.gt_table thead.gt_col_headings:not(:first-child){border-top-width:1px;border-top-color:var(--quarto-border-color)}table.gt_table td.gt_row{border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-width:0px}table.gt_table tbody.gt_table_body{border-top-width:1px;border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-color:currentColor}div.columns{display:initial;gap:initial}div.column{display:inline-block;overflow-x:initial;vertical-align:top;width:50%}.code-annotation-tip-content{word-wrap:break-word}.code-annotation-container-hidden{display:none !important}dl.code-annotation-container-grid{display:grid;grid-template-columns:min-content auto}dl.code-annotation-container-grid dt{grid-column:1}dl.code-annotation-container-grid dd{grid-column:2}pre.sourceCode.code-annotation-code{padding-right:0}code.sourceCode .code-annotation-anchor{z-index:100;position:absolute;right:.5em;left:inherit;background-color:rgba(0,0,0,0)}:root{--mermaid-bg-color: #222;--mermaid-edge-color: #434343;--mermaid-node-fg-color: #fff;--mermaid-fg-color: #fff;--mermaid-fg-color--lighter: white;--mermaid-fg-color--lightest: white;--mermaid-font-family: Lato, -apple-system, BlinkMacSystemFont, Segoe UI, Roboto, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol;--mermaid-label-bg-color: #222;--mermaid-label-fg-color: #375a7f;--mermaid-node-bg-color: rgba(55, 90, 127, 0.1);--mermaid-node-fg-color: #fff}@media print{:root{font-size:11pt}#quarto-sidebar,#TOC,.nav-page{display:none}.page-columns .content{grid-column-start:page-start}.fixed-top{position:relative}.panel-caption,.figure-caption,figcaption{color:#666}}.code-copy-button{position:absolute;top:0;right:0;border:0;margin-top:5px;margin-right:5px;background-color:rgba(0,0,0,0);z-index:3}.code-copy-button:focus{outline:none}.code-copy-button-tooltip{font-size:.75em}pre.sourceCode:hover>.code-copy-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:1rem 1rem}pre.sourceCode:hover>.code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,')}pre.sourceCode:hover>.code-copy-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}pre.sourceCode:hover>.code-copy-button-checked:hover>.bi::before{background-image:url('data:image/svg+xml,')}main ol ol,main ul ul,main ol ul,main ul ol{margin-bottom:1em}ul>li:not(:has(>p))>ul,ol>li:not(:has(>p))>ul,ul>li:not(:has(>p))>ol,ol>li:not(:has(>p))>ol{margin-bottom:0}ul>li:not(:has(>p))>ul>li:has(>p),ol>li:not(:has(>p))>ul>li:has(>p),ul>li:not(:has(>p))>ol>li:has(>p),ol>li:not(:has(>p))>ol>li:has(>p){margin-top:1rem}body{margin:0}main.page-columns>header>h1.title,main.page-columns>header>.title.h1{margin-bottom:0}@media(min-width: 992px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] 35px [page-end-inset page-end] 5fr [screen-end-inset] 1.5em}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 3em [body-end] 50px [body-end-outset] minmax(0px, 250px) [page-end-inset] minmax(50px, 100px) [page-end] 1fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(50px, 100px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(50px, 150px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 991.98px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 1250px - 3em )) [body-content-end body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1.5em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 4fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 4fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 4fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 767.98px){body .page-columns,body.fullcontent:not(.floating):not(.docked) .page-columns,body.slimcontent:not(.floating):not(.docked) .page-columns,body.docked .page-columns,body.docked.slimcontent .page-columns,body.docked.fullcontent .page-columns,body.floating .page-columns,body.floating.slimcontent .page-columns,body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}nav[role=doc-toc]{display:none}}body,.page-row-navigation{grid-template-rows:[page-top] max-content [contents-top] max-content [contents-bottom] max-content [page-bottom]}.page-rows-contents{grid-template-rows:[content-top] minmax(max-content, 1fr) [content-bottom] minmax(60px, max-content) [page-bottom]}.page-full{grid-column:screen-start/screen-end !important}.page-columns>*{grid-column:body-content-start/body-content-end}.page-columns.column-page>*{grid-column:page-start/page-end}.page-columns.column-page-left>*{grid-column:page-start/body-content-end}.page-columns.column-page-right>*{grid-column:body-content-start/page-end}.page-rows{grid-auto-rows:auto}.header{grid-column:screen-start/screen-end;grid-row:page-top/contents-top}#quarto-content{padding:0;grid-column:screen-start/screen-end;grid-row:contents-top/contents-bottom}body.floating .sidebar.sidebar-navigation{grid-column:page-start/body-start;grid-row:content-top/page-bottom}body.docked .sidebar.sidebar-navigation{grid-column:screen-start/body-start;grid-row:content-top/page-bottom}.sidebar.toc-left{grid-column:page-start/body-start;grid-row:content-top/page-bottom}.sidebar.margin-sidebar{grid-column:body-end/page-end;grid-row:content-top/page-bottom}.page-columns .content{grid-column:body-content-start/body-content-end;grid-row:content-top/content-bottom;align-content:flex-start}.page-columns .page-navigation{grid-column:body-content-start/body-content-end;grid-row:content-bottom/page-bottom}.page-columns .footer{grid-column:screen-start/screen-end;grid-row:contents-bottom/page-bottom}.page-columns .column-body{grid-column:body-content-start/body-content-end}.page-columns .column-body-fullbleed{grid-column:body-start/body-end}.page-columns .column-body-outset{grid-column:body-start-outset/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset table{background:#222}.page-columns .column-body-outset-left{grid-column:body-start-outset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-left table{background:#222}.page-columns .column-body-outset-right{grid-column:body-content-start/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-right table{background:#222}.page-columns .column-page{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page table{background:#222}.page-columns .column-page-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset table{background:#222}.page-columns .column-page-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-left table{background:#222}.page-columns .column-page-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-right figcaption table{background:#222}.page-columns .column-page-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-left table{background:#222}.page-columns .column-page-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-right figcaption table{background:#222}#quarto-content.page-columns #quarto-margin-sidebar,#quarto-content.page-columns #quarto-sidebar{z-index:1}@media(max-width: 991.98px){#quarto-content.page-columns #quarto-margin-sidebar.collapse,#quarto-content.page-columns #quarto-sidebar.collapse,#quarto-content.page-columns #quarto-margin-sidebar.collapsing,#quarto-content.page-columns #quarto-sidebar.collapsing{z-index:1055}}#quarto-content.page-columns main.column-page,#quarto-content.page-columns main.column-page-right,#quarto-content.page-columns main.column-page-left{z-index:0}.page-columns .column-screen-inset{grid-column:screen-start-inset/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#222}.page-columns .column-screen-inset-left{grid-column:screen-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#222}.page-columns .column-screen-inset-right{grid-column:body-content-start/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#222}.page-columns .column-screen{grid-column:screen-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#222}.page-columns .column-screen-left{grid-column:screen-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#222}.page-columns .column-screen-right{grid-column:body-content-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#222}.page-columns .column-screen-inset-shaded{grid-column:screen-start/screen-end;padding:1em;background:#6f6f6f;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}.zindex-content{z-index:998;transform:translate3d(0, 0, 0)}.zindex-modal{z-index:1055;transform:translate3d(0, 0, 0)}.zindex-over-content{z-index:999;transform:translate3d(0, 0, 0)}img.img-fluid.column-screen,img.img-fluid.column-screen-inset-shaded,img.img-fluid.column-screen-inset,img.img-fluid.column-screen-inset-left,img.img-fluid.column-screen-inset-right,img.img-fluid.column-screen-left,img.img-fluid.column-screen-right{width:100%}@media(min-width: 992px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.column-sidebar{grid-column:page-start/body-start !important;z-index:998}.column-leftmargin{grid-column:screen-start-inset/body-start !important;z-index:998}.no-row-height{height:1em;overflow:visible}}@media(max-width: 991.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.no-row-height{height:1em;overflow:visible}.page-columns.page-full{overflow:visible}.page-columns.toc-left .margin-caption,.page-columns.toc-left div.aside,.page-columns.toc-left aside,.page-columns.toc-left .column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.page-columns.toc-left .no-row-height{height:initial;overflow:initial}}@media(max-width: 767.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.no-row-height{height:initial;overflow:initial}#quarto-margin-sidebar{display:none}#quarto-sidebar-toc-left{display:none}.hidden-sm{display:none}}.panel-grid{display:grid;grid-template-rows:repeat(1, 1fr);grid-template-columns:repeat(24, 1fr);gap:1em}.panel-grid .g-col-1{grid-column:auto/span 1}.panel-grid .g-col-2{grid-column:auto/span 2}.panel-grid .g-col-3{grid-column:auto/span 3}.panel-grid .g-col-4{grid-column:auto/span 4}.panel-grid .g-col-5{grid-column:auto/span 5}.panel-grid .g-col-6{grid-column:auto/span 6}.panel-grid .g-col-7{grid-column:auto/span 7}.panel-grid .g-col-8{grid-column:auto/span 8}.panel-grid .g-col-9{grid-column:auto/span 9}.panel-grid .g-col-10{grid-column:auto/span 10}.panel-grid .g-col-11{grid-column:auto/span 11}.panel-grid .g-col-12{grid-column:auto/span 12}.panel-grid .g-col-13{grid-column:auto/span 13}.panel-grid .g-col-14{grid-column:auto/span 14}.panel-grid .g-col-15{grid-column:auto/span 15}.panel-grid .g-col-16{grid-column:auto/span 16}.panel-grid .g-col-17{grid-column:auto/span 17}.panel-grid .g-col-18{grid-column:auto/span 18}.panel-grid .g-col-19{grid-column:auto/span 19}.panel-grid .g-col-20{grid-column:auto/span 20}.panel-grid .g-col-21{grid-column:auto/span 21}.panel-grid .g-col-22{grid-column:auto/span 22}.panel-grid .g-col-23{grid-column:auto/span 23}.panel-grid .g-col-24{grid-column:auto/span 24}.panel-grid .g-start-1{grid-column-start:1}.panel-grid .g-start-2{grid-column-start:2}.panel-grid .g-start-3{grid-column-start:3}.panel-grid .g-start-4{grid-column-start:4}.panel-grid .g-start-5{grid-column-start:5}.panel-grid .g-start-6{grid-column-start:6}.panel-grid .g-start-7{grid-column-start:7}.panel-grid .g-start-8{grid-column-start:8}.panel-grid .g-start-9{grid-column-start:9}.panel-grid .g-start-10{grid-column-start:10}.panel-grid .g-start-11{grid-column-start:11}.panel-grid .g-start-12{grid-column-start:12}.panel-grid .g-start-13{grid-column-start:13}.panel-grid .g-start-14{grid-column-start:14}.panel-grid .g-start-15{grid-column-start:15}.panel-grid .g-start-16{grid-column-start:16}.panel-grid .g-start-17{grid-column-start:17}.panel-grid .g-start-18{grid-column-start:18}.panel-grid .g-start-19{grid-column-start:19}.panel-grid .g-start-20{grid-column-start:20}.panel-grid .g-start-21{grid-column-start:21}.panel-grid .g-start-22{grid-column-start:22}.panel-grid .g-start-23{grid-column-start:23}@media(min-width: 576px){.panel-grid .g-col-sm-1{grid-column:auto/span 1}.panel-grid .g-col-sm-2{grid-column:auto/span 2}.panel-grid .g-col-sm-3{grid-column:auto/span 3}.panel-grid .g-col-sm-4{grid-column:auto/span 4}.panel-grid .g-col-sm-5{grid-column:auto/span 5}.panel-grid .g-col-sm-6{grid-column:auto/span 6}.panel-grid .g-col-sm-7{grid-column:auto/span 7}.panel-grid .g-col-sm-8{grid-column:auto/span 8}.panel-grid .g-col-sm-9{grid-column:auto/span 9}.panel-grid .g-col-sm-10{grid-column:auto/span 10}.panel-grid .g-col-sm-11{grid-column:auto/span 11}.panel-grid .g-col-sm-12{grid-column:auto/span 12}.panel-grid .g-col-sm-13{grid-column:auto/span 13}.panel-grid .g-col-sm-14{grid-column:auto/span 14}.panel-grid .g-col-sm-15{grid-column:auto/span 15}.panel-grid .g-col-sm-16{grid-column:auto/span 16}.panel-grid .g-col-sm-17{grid-column:auto/span 17}.panel-grid .g-col-sm-18{grid-column:auto/span 18}.panel-grid .g-col-sm-19{grid-column:auto/span 19}.panel-grid .g-col-sm-20{grid-column:auto/span 20}.panel-grid .g-col-sm-21{grid-column:auto/span 21}.panel-grid .g-col-sm-22{grid-column:auto/span 22}.panel-grid .g-col-sm-23{grid-column:auto/span 23}.panel-grid .g-col-sm-24{grid-column:auto/span 24}.panel-grid .g-start-sm-1{grid-column-start:1}.panel-grid .g-start-sm-2{grid-column-start:2}.panel-grid .g-start-sm-3{grid-column-start:3}.panel-grid .g-start-sm-4{grid-column-start:4}.panel-grid .g-start-sm-5{grid-column-start:5}.panel-grid .g-start-sm-6{grid-column-start:6}.panel-grid .g-start-sm-7{grid-column-start:7}.panel-grid .g-start-sm-8{grid-column-start:8}.panel-grid .g-start-sm-9{grid-column-start:9}.panel-grid .g-start-sm-10{grid-column-start:10}.panel-grid .g-start-sm-11{grid-column-start:11}.panel-grid .g-start-sm-12{grid-column-start:12}.panel-grid .g-start-sm-13{grid-column-start:13}.panel-grid .g-start-sm-14{grid-column-start:14}.panel-grid .g-start-sm-15{grid-column-start:15}.panel-grid .g-start-sm-16{grid-column-start:16}.panel-grid .g-start-sm-17{grid-column-start:17}.panel-grid .g-start-sm-18{grid-column-start:18}.panel-grid .g-start-sm-19{grid-column-start:19}.panel-grid .g-start-sm-20{grid-column-start:20}.panel-grid .g-start-sm-21{grid-column-start:21}.panel-grid .g-start-sm-22{grid-column-start:22}.panel-grid .g-start-sm-23{grid-column-start:23}}@media(min-width: 768px){.panel-grid .g-col-md-1{grid-column:auto/span 1}.panel-grid .g-col-md-2{grid-column:auto/span 2}.panel-grid .g-col-md-3{grid-column:auto/span 3}.panel-grid .g-col-md-4{grid-column:auto/span 4}.panel-grid .g-col-md-5{grid-column:auto/span 5}.panel-grid .g-col-md-6{grid-column:auto/span 6}.panel-grid .g-col-md-7{grid-column:auto/span 7}.panel-grid .g-col-md-8{grid-column:auto/span 8}.panel-grid .g-col-md-9{grid-column:auto/span 9}.panel-grid .g-col-md-10{grid-column:auto/span 10}.panel-grid .g-col-md-11{grid-column:auto/span 11}.panel-grid .g-col-md-12{grid-column:auto/span 12}.panel-grid .g-col-md-13{grid-column:auto/span 13}.panel-grid .g-col-md-14{grid-column:auto/span 14}.panel-grid .g-col-md-15{grid-column:auto/span 15}.panel-grid .g-col-md-16{grid-column:auto/span 16}.panel-grid .g-col-md-17{grid-column:auto/span 17}.panel-grid .g-col-md-18{grid-column:auto/span 18}.panel-grid .g-col-md-19{grid-column:auto/span 19}.panel-grid .g-col-md-20{grid-column:auto/span 20}.panel-grid .g-col-md-21{grid-column:auto/span 21}.panel-grid .g-col-md-22{grid-column:auto/span 22}.panel-grid .g-col-md-23{grid-column:auto/span 23}.panel-grid .g-col-md-24{grid-column:auto/span 24}.panel-grid .g-start-md-1{grid-column-start:1}.panel-grid .g-start-md-2{grid-column-start:2}.panel-grid .g-start-md-3{grid-column-start:3}.panel-grid .g-start-md-4{grid-column-start:4}.panel-grid .g-start-md-5{grid-column-start:5}.panel-grid .g-start-md-6{grid-column-start:6}.panel-grid .g-start-md-7{grid-column-start:7}.panel-grid .g-start-md-8{grid-column-start:8}.panel-grid .g-start-md-9{grid-column-start:9}.panel-grid .g-start-md-10{grid-column-start:10}.panel-grid .g-start-md-11{grid-column-start:11}.panel-grid .g-start-md-12{grid-column-start:12}.panel-grid .g-start-md-13{grid-column-start:13}.panel-grid .g-start-md-14{grid-column-start:14}.panel-grid .g-start-md-15{grid-column-start:15}.panel-grid .g-start-md-16{grid-column-start:16}.panel-grid .g-start-md-17{grid-column-start:17}.panel-grid .g-start-md-18{grid-column-start:18}.panel-grid .g-start-md-19{grid-column-start:19}.panel-grid .g-start-md-20{grid-column-start:20}.panel-grid .g-start-md-21{grid-column-start:21}.panel-grid .g-start-md-22{grid-column-start:22}.panel-grid .g-start-md-23{grid-column-start:23}}@media(min-width: 992px){.panel-grid .g-col-lg-1{grid-column:auto/span 1}.panel-grid .g-col-lg-2{grid-column:auto/span 2}.panel-grid .g-col-lg-3{grid-column:auto/span 3}.panel-grid .g-col-lg-4{grid-column:auto/span 4}.panel-grid .g-col-lg-5{grid-column:auto/span 5}.panel-grid .g-col-lg-6{grid-column:auto/span 6}.panel-grid .g-col-lg-7{grid-column:auto/span 7}.panel-grid .g-col-lg-8{grid-column:auto/span 8}.panel-grid .g-col-lg-9{grid-column:auto/span 9}.panel-grid .g-col-lg-10{grid-column:auto/span 10}.panel-grid .g-col-lg-11{grid-column:auto/span 11}.panel-grid .g-col-lg-12{grid-column:auto/span 12}.panel-grid .g-col-lg-13{grid-column:auto/span 13}.panel-grid .g-col-lg-14{grid-column:auto/span 14}.panel-grid .g-col-lg-15{grid-column:auto/span 15}.panel-grid .g-col-lg-16{grid-column:auto/span 16}.panel-grid .g-col-lg-17{grid-column:auto/span 17}.panel-grid .g-col-lg-18{grid-column:auto/span 18}.panel-grid .g-col-lg-19{grid-column:auto/span 19}.panel-grid .g-col-lg-20{grid-column:auto/span 20}.panel-grid .g-col-lg-21{grid-column:auto/span 21}.panel-grid .g-col-lg-22{grid-column:auto/span 22}.panel-grid .g-col-lg-23{grid-column:auto/span 23}.panel-grid .g-col-lg-24{grid-column:auto/span 24}.panel-grid .g-start-lg-1{grid-column-start:1}.panel-grid .g-start-lg-2{grid-column-start:2}.panel-grid .g-start-lg-3{grid-column-start:3}.panel-grid .g-start-lg-4{grid-column-start:4}.panel-grid .g-start-lg-5{grid-column-start:5}.panel-grid .g-start-lg-6{grid-column-start:6}.panel-grid .g-start-lg-7{grid-column-start:7}.panel-grid .g-start-lg-8{grid-column-start:8}.panel-grid .g-start-lg-9{grid-column-start:9}.panel-grid .g-start-lg-10{grid-column-start:10}.panel-grid .g-start-lg-11{grid-column-start:11}.panel-grid .g-start-lg-12{grid-column-start:12}.panel-grid .g-start-lg-13{grid-column-start:13}.panel-grid .g-start-lg-14{grid-column-start:14}.panel-grid .g-start-lg-15{grid-column-start:15}.panel-grid .g-start-lg-16{grid-column-start:16}.panel-grid .g-start-lg-17{grid-column-start:17}.panel-grid .g-start-lg-18{grid-column-start:18}.panel-grid .g-start-lg-19{grid-column-start:19}.panel-grid .g-start-lg-20{grid-column-start:20}.panel-grid .g-start-lg-21{grid-column-start:21}.panel-grid .g-start-lg-22{grid-column-start:22}.panel-grid .g-start-lg-23{grid-column-start:23}}@media(min-width: 1200px){.panel-grid .g-col-xl-1{grid-column:auto/span 1}.panel-grid .g-col-xl-2{grid-column:auto/span 2}.panel-grid .g-col-xl-3{grid-column:auto/span 3}.panel-grid .g-col-xl-4{grid-column:auto/span 4}.panel-grid .g-col-xl-5{grid-column:auto/span 5}.panel-grid .g-col-xl-6{grid-column:auto/span 6}.panel-grid .g-col-xl-7{grid-column:auto/span 7}.panel-grid .g-col-xl-8{grid-column:auto/span 8}.panel-grid .g-col-xl-9{grid-column:auto/span 9}.panel-grid .g-col-xl-10{grid-column:auto/span 10}.panel-grid .g-col-xl-11{grid-column:auto/span 11}.panel-grid .g-col-xl-12{grid-column:auto/span 12}.panel-grid .g-col-xl-13{grid-column:auto/span 13}.panel-grid .g-col-xl-14{grid-column:auto/span 14}.panel-grid .g-col-xl-15{grid-column:auto/span 15}.panel-grid .g-col-xl-16{grid-column:auto/span 16}.panel-grid .g-col-xl-17{grid-column:auto/span 17}.panel-grid .g-col-xl-18{grid-column:auto/span 18}.panel-grid .g-col-xl-19{grid-column:auto/span 19}.panel-grid .g-col-xl-20{grid-column:auto/span 20}.panel-grid .g-col-xl-21{grid-column:auto/span 21}.panel-grid .g-col-xl-22{grid-column:auto/span 22}.panel-grid .g-col-xl-23{grid-column:auto/span 23}.panel-grid .g-col-xl-24{grid-column:auto/span 24}.panel-grid .g-start-xl-1{grid-column-start:1}.panel-grid .g-start-xl-2{grid-column-start:2}.panel-grid .g-start-xl-3{grid-column-start:3}.panel-grid .g-start-xl-4{grid-column-start:4}.panel-grid .g-start-xl-5{grid-column-start:5}.panel-grid .g-start-xl-6{grid-column-start:6}.panel-grid .g-start-xl-7{grid-column-start:7}.panel-grid .g-start-xl-8{grid-column-start:8}.panel-grid .g-start-xl-9{grid-column-start:9}.panel-grid .g-start-xl-10{grid-column-start:10}.panel-grid .g-start-xl-11{grid-column-start:11}.panel-grid .g-start-xl-12{grid-column-start:12}.panel-grid .g-start-xl-13{grid-column-start:13}.panel-grid .g-start-xl-14{grid-column-start:14}.panel-grid .g-start-xl-15{grid-column-start:15}.panel-grid .g-start-xl-16{grid-column-start:16}.panel-grid .g-start-xl-17{grid-column-start:17}.panel-grid .g-start-xl-18{grid-column-start:18}.panel-grid .g-start-xl-19{grid-column-start:19}.panel-grid .g-start-xl-20{grid-column-start:20}.panel-grid .g-start-xl-21{grid-column-start:21}.panel-grid .g-start-xl-22{grid-column-start:22}.panel-grid .g-start-xl-23{grid-column-start:23}}@media(min-width: 1400px){.panel-grid .g-col-xxl-1{grid-column:auto/span 1}.panel-grid .g-col-xxl-2{grid-column:auto/span 2}.panel-grid .g-col-xxl-3{grid-column:auto/span 3}.panel-grid .g-col-xxl-4{grid-column:auto/span 4}.panel-grid .g-col-xxl-5{grid-column:auto/span 5}.panel-grid .g-col-xxl-6{grid-column:auto/span 6}.panel-grid .g-col-xxl-7{grid-column:auto/span 7}.panel-grid .g-col-xxl-8{grid-column:auto/span 8}.panel-grid .g-col-xxl-9{grid-column:auto/span 9}.panel-grid .g-col-xxl-10{grid-column:auto/span 10}.panel-grid .g-col-xxl-11{grid-column:auto/span 11}.panel-grid .g-col-xxl-12{grid-column:auto/span 12}.panel-grid .g-col-xxl-13{grid-column:auto/span 13}.panel-grid .g-col-xxl-14{grid-column:auto/span 14}.panel-grid .g-col-xxl-15{grid-column:auto/span 15}.panel-grid .g-col-xxl-16{grid-column:auto/span 16}.panel-grid .g-col-xxl-17{grid-column:auto/span 17}.panel-grid .g-col-xxl-18{grid-column:auto/span 18}.panel-grid .g-col-xxl-19{grid-column:auto/span 19}.panel-grid .g-col-xxl-20{grid-column:auto/span 20}.panel-grid .g-col-xxl-21{grid-column:auto/span 21}.panel-grid .g-col-xxl-22{grid-column:auto/span 22}.panel-grid .g-col-xxl-23{grid-column:auto/span 23}.panel-grid .g-col-xxl-24{grid-column:auto/span 24}.panel-grid .g-start-xxl-1{grid-column-start:1}.panel-grid .g-start-xxl-2{grid-column-start:2}.panel-grid .g-start-xxl-3{grid-column-start:3}.panel-grid .g-start-xxl-4{grid-column-start:4}.panel-grid .g-start-xxl-5{grid-column-start:5}.panel-grid .g-start-xxl-6{grid-column-start:6}.panel-grid .g-start-xxl-7{grid-column-start:7}.panel-grid .g-start-xxl-8{grid-column-start:8}.panel-grid .g-start-xxl-9{grid-column-start:9}.panel-grid .g-start-xxl-10{grid-column-start:10}.panel-grid .g-start-xxl-11{grid-column-start:11}.panel-grid .g-start-xxl-12{grid-column-start:12}.panel-grid .g-start-xxl-13{grid-column-start:13}.panel-grid .g-start-xxl-14{grid-column-start:14}.panel-grid .g-start-xxl-15{grid-column-start:15}.panel-grid .g-start-xxl-16{grid-column-start:16}.panel-grid .g-start-xxl-17{grid-column-start:17}.panel-grid .g-start-xxl-18{grid-column-start:18}.panel-grid .g-start-xxl-19{grid-column-start:19}.panel-grid .g-start-xxl-20{grid-column-start:20}.panel-grid .g-start-xxl-21{grid-column-start:21}.panel-grid .g-start-xxl-22{grid-column-start:22}.panel-grid .g-start-xxl-23{grid-column-start:23}}main{margin-top:1em;margin-bottom:1em}h1,.h1,h2,.h2{opacity:.9;margin-top:2rem;margin-bottom:1rem;font-weight:600}h1.title,.title.h1{margin-top:0}h2,.h2{border-bottom:1px solid #434343;padding-bottom:.5rem}h3,.h3{font-weight:600}h3,.h3,h4,.h4{opacity:.9;margin-top:1.5rem}h5,.h5,h6,.h6{opacity:.9}.header-section-number{color:#bfbfbf}.nav-link.active .header-section-number{color:inherit}mark,.mark{padding:0em}.panel-caption,caption,.figure-caption{font-size:.9rem}.panel-caption,.figure-caption,figcaption{color:#bfbfbf}.table-caption,caption{color:#fff}.quarto-layout-cell[data-ref-parent] caption{color:#bfbfbf}.column-margin figcaption,.margin-caption,div.aside,aside,.column-margin{color:#bfbfbf;font-size:.825rem}.panel-caption.margin-caption{text-align:inherit}.column-margin.column-container p{margin-bottom:0}.column-margin.column-container>*:not(.collapse){padding-top:.5em;padding-bottom:.5em;display:block}.column-margin.column-container>*.collapse:not(.show){display:none}@media(min-width: 768px){.column-margin.column-container .callout-margin-content:first-child{margin-top:4.5em}.column-margin.column-container .callout-margin-content-simple:first-child{margin-top:3.5em}}.margin-caption>*{padding-top:.5em;padding-bottom:.5em}@media(max-width: 767.98px){.quarto-layout-row{flex-direction:column}}.nav-tabs .nav-item{margin-top:1px;cursor:pointer}.tab-content{margin-top:0px;border-left:#434343 1px solid;border-right:#434343 1px solid;border-bottom:#434343 1px solid;margin-left:0;padding:1em;margin-bottom:1em}@media(max-width: 767.98px){.layout-sidebar{margin-left:0;margin-right:0}}.panel-sidebar,.panel-sidebar .form-control,.panel-input,.panel-input .form-control,.selectize-dropdown{font-size:.9rem}.panel-sidebar .form-control,.panel-input .form-control{padding-top:.1rem}.tab-pane div.sourceCode{margin-top:0px}.tab-pane>p{padding-top:1em}.tab-content>.tab-pane:not(.active){display:none !important}div.sourceCode{background-color:#000;border:1px solid #000;border-radius:.25rem}pre.sourceCode{background-color:rgba(0,0,0,0)}pre.sourceCode{border:none;font-size:.875em;overflow:visible !important;padding:.4em}.callout pre.sourceCode{padding-left:0}div.sourceCode{overflow-y:hidden}.callout div.sourceCode{margin-left:initial}.blockquote{font-size:inherit;padding-left:1rem;padding-right:1.5rem;color:#bfbfbf}.blockquote h1:first-child,.blockquote .h1:first-child,.blockquote h2:first-child,.blockquote .h2:first-child,.blockquote h3:first-child,.blockquote .h3:first-child,.blockquote h4:first-child,.blockquote .h4:first-child,.blockquote h5:first-child,.blockquote .h5:first-child{margin-top:0}pre{background-color:initial;padding:initial;border:initial}p code:not(.sourceCode),li code:not(.sourceCode),td code:not(.sourceCode){background-color:#000;padding:.2em}nav p code:not(.sourceCode),nav li code:not(.sourceCode),nav td code:not(.sourceCode){background-color:rgba(0,0,0,0);padding:0}td code:not(.sourceCode){white-space:pre-wrap}#quarto-embedded-source-code-modal>.modal-dialog{max-width:1000px;padding-left:1.75rem;padding-right:1.75rem}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body{padding:0}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body div.sourceCode{margin:0;padding:.2rem .2rem;border-radius:0px;border:none}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-header{padding:.7rem}.code-tools-button{font-size:1rem;padding:.15rem .15rem;margin-left:5px;color:#6c757d;background-color:rgba(0,0,0,0);transition:initial;cursor:pointer}.code-tools-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:1rem 1rem}.code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}#quarto-embedded-source-code-modal .code-copy-button>.bi::before{background-image:url('data:image/svg+xml,')}#quarto-embedded-source-code-modal .code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,')}.sidebar{will-change:top;transition:top 200ms linear;position:sticky;overflow-y:auto;padding-top:1.2em;max-height:100vh}.sidebar.toc-left,.sidebar.margin-sidebar{top:0px;padding-top:1em}.sidebar.toc-left>*,.sidebar.margin-sidebar>*{padding-top:.5em}.sidebar.quarto-banner-title-block-sidebar>*{padding-top:1.65em}figure .quarto-notebook-link{margin-top:.5em}.quarto-notebook-link{font-size:.75em;color:#6c757d;margin-bottom:1em;text-decoration:none;display:block}.quarto-notebook-link:hover{text-decoration:underline;color:#00bc8c}.quarto-notebook-link::before{display:inline-block;height:.75rem;width:.75rem;margin-bottom:0em;margin-right:.25em;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:.75rem .75rem}.quarto-alternate-notebooks i.bi,.quarto-alternate-formats i.bi{margin-right:.4em}.quarto-notebook .cell-container{display:flex}.quarto-notebook .cell-container .cell{flex-grow:4}.quarto-notebook .cell-container .cell-decorator{padding-top:1.5em;padding-right:1em;text-align:right}.quarto-notebook h2,.quarto-notebook .h2{border-bottom:none}.sidebar .quarto-alternate-formats a,.sidebar .quarto-alternate-notebooks a{text-decoration:none}.sidebar .quarto-alternate-formats a:hover,.sidebar .quarto-alternate-notebooks a:hover{color:#00bc8c}.sidebar .quarto-alternate-notebooks h2,.sidebar .quarto-alternate-notebooks .h2,.sidebar .quarto-alternate-formats h2,.sidebar .quarto-alternate-formats .h2,.sidebar nav[role=doc-toc]>h2,.sidebar nav[role=doc-toc]>.h2{font-size:.875rem;font-weight:400;margin-bottom:.5rem;margin-top:.3rem;font-family:inherit;border-bottom:0;padding-bottom:0;padding-top:0px}.sidebar .quarto-alternate-notebooks h2,.sidebar .quarto-alternate-notebooks .h2,.sidebar .quarto-alternate-formats h2,.sidebar .quarto-alternate-formats .h2{margin-top:1rem}.sidebar nav[role=doc-toc]>ul a{border-left:1px solid #ebebeb;padding-left:.6rem}.sidebar .quarto-alternate-notebooks h2>ul a,.sidebar .quarto-alternate-notebooks .h2>ul a,.sidebar .quarto-alternate-formats h2>ul a,.sidebar .quarto-alternate-formats .h2>ul a{border-left:none;padding-left:.6rem}.sidebar .quarto-alternate-notebooks ul a:empty,.sidebar .quarto-alternate-formats ul a:empty,.sidebar nav[role=doc-toc]>ul a:empty{display:none}.sidebar .quarto-alternate-notebooks ul,.sidebar .quarto-alternate-formats ul,.sidebar nav[role=doc-toc] ul{padding-left:0;list-style:none;font-size:.875rem;font-weight:300}.sidebar .quarto-alternate-notebooks ul li a,.sidebar .quarto-alternate-formats ul li a,.sidebar nav[role=doc-toc]>ul li a{line-height:1.1rem;padding-bottom:.2rem;padding-top:.2rem;color:inherit}.sidebar nav[role=doc-toc] ul>li>ul>li>a{padding-left:1.2em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>a{padding-left:2.4em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>a{padding-left:3.6em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:4.8em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:6em}.sidebar nav[role=doc-toc] ul>li>a.active,.sidebar nav[role=doc-toc] ul>li>ul>li>a.active{border-left:1px solid #00bc8c;color:#00bc8c !important}.sidebar nav[role=doc-toc] ul>li>a:hover,.sidebar nav[role=doc-toc] ul>li>ul>li>a:hover{color:#00bc8c !important}kbd,.kbd{color:#fff;background-color:#f8f9fa;border:1px solid;border-radius:5px;border-color:#434343}div.hanging-indent{margin-left:1em;text-indent:-1em}.citation a,.footnote-ref{text-decoration:none}.footnotes ol{padding-left:1em}.tippy-content>*{margin-bottom:.7em}.tippy-content>*:last-child{margin-bottom:0}.table a{word-break:break-word}.table>thead{border-top-width:1px;border-top-color:#434343;border-bottom:1px solid #fff}.callout{margin-top:1.25rem;margin-bottom:1.25rem;border-radius:.25rem;overflow-wrap:break-word}.callout .callout-title-container{overflow-wrap:anywhere}.callout.callout-style-simple{padding:.4em .7em;border-left:5px solid;border-right:1px solid #434343;border-top:1px solid #434343;border-bottom:1px solid #434343}.callout.callout-style-default{border-left:5px solid;border-right:1px solid #434343;border-top:1px solid #434343;border-bottom:1px solid #434343}.callout .callout-body-container{flex-grow:1}.callout.callout-style-simple .callout-body{font-size:.9rem;font-weight:400}.callout.callout-style-default .callout-body{font-size:.9rem;font-weight:400}.callout.callout-titled .callout-body{margin-top:.2em}.callout:not(.no-icon).callout-titled.callout-style-simple .callout-body{padding-left:1.6em}.callout.callout-titled>.callout-header{padding-top:.2em;margin-bottom:-0.2em}.callout.callout-style-simple>div.callout-header{border-bottom:none;font-size:.9rem;font-weight:600;opacity:75%}.callout.callout-style-default>div.callout-header{border-bottom:none;font-weight:600;opacity:85%;font-size:.9rem;padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body{padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body>:first-child{margin-top:.5em}.callout>div.callout-header[data-bs-toggle=collapse]{cursor:pointer}.callout.callout-style-default .callout-header[aria-expanded=false],.callout.callout-style-default .callout-header[aria-expanded=true]{padding-top:0px;margin-bottom:0px;align-items:center}.callout.callout-titled .callout-body>:last-child:not(.sourceCode),.callout.callout-titled .callout-body>div>:last-child:not(.sourceCode){margin-bottom:.5rem}.callout:not(.callout-titled) .callout-body>:first-child,.callout:not(.callout-titled) .callout-body>div>:first-child{margin-top:.25rem}.callout:not(.callout-titled) .callout-body>:last-child,.callout:not(.callout-titled) .callout-body>div>:last-child{margin-bottom:.2rem}.callout.callout-style-simple .callout-icon::before,.callout.callout-style-simple .callout-toggle::before{height:1rem;width:1rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.callout.callout-style-default .callout-icon::before,.callout.callout-style-default .callout-toggle::before{height:.9rem;width:.9rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:.9rem .9rem}.callout.callout-style-default .callout-toggle::before{margin-top:5px}.callout .callout-btn-toggle .callout-toggle::before{transition:transform .2s linear}.callout .callout-header[aria-expanded=false] .callout-toggle::before{transform:rotate(-90deg)}.callout .callout-header[aria-expanded=true] .callout-toggle::before{transform:none}.callout.callout-style-simple:not(.no-icon) div.callout-icon-container{padding-top:.2em;padding-right:.55em}.callout.callout-style-default:not(.no-icon) div.callout-icon-container{padding-top:.1em;padding-right:.35em}.callout.callout-style-default:not(.no-icon) div.callout-title-container{margin-top:-1px}.callout.callout-style-default.callout-caution:not(.no-icon) div.callout-icon-container{padding-top:.3em;padding-right:.35em}.callout>.callout-body>.callout-icon-container>.no-icon,.callout>.callout-header>.callout-icon-container>.no-icon{display:none}div.callout.callout{border-left-color:#6c757d}div.callout.callout-style-default>.callout-header{background-color:#6c757d}div.callout-note.callout{border-left-color:#375a7f}div.callout-note.callout-style-default>.callout-header{background-color:#111b26}div.callout-note:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-note.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-note .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-tip.callout{border-left-color:#00bc8c}div.callout-tip.callout-style-default>.callout-header{background-color:#00382a}div.callout-tip:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-tip.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-tip .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-warning.callout{border-left-color:#f39c12}div.callout-warning.callout-style-default>.callout-header{background-color:#492f05}div.callout-warning:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-warning.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-warning .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-caution.callout{border-left-color:#fd7e14}div.callout-caution.callout-style-default>.callout-header{background-color:#4c2606}div.callout-caution:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-caution.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-caution .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-important.callout{border-left-color:#e74c3c}div.callout-important.callout-style-default>.callout-header{background-color:#451712}div.callout-important:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-important.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-important .callout-toggle::before{background-image:url('data:image/svg+xml,')}.quarto-toggle-container{display:flex;align-items:center}.quarto-reader-toggle .bi::before,.quarto-color-scheme-toggle .bi::before{display:inline-block;height:1rem;width:1rem;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.sidebar-navigation{padding-left:20px}.navbar .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,')}.navbar .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,')}.sidebar-navigation .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,')}.sidebar-navigation .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,')}.quarto-sidebar-toggle{border-color:#dee2e6;border-bottom-left-radius:.25rem;border-bottom-right-radius:.25rem;border-style:solid;border-width:1px;overflow:hidden;border-top-width:0px;padding-top:0px !important}.quarto-sidebar-toggle-title{cursor:pointer;padding-bottom:2px;margin-left:.25em;text-align:center;font-weight:400;font-size:.775em}#quarto-content .quarto-sidebar-toggle{background:#272727}#quarto-content .quarto-sidebar-toggle-title{color:#fff}.quarto-sidebar-toggle-icon{color:#dee2e6;margin-right:.5em;float:right;transition:transform .2s ease}.quarto-sidebar-toggle-icon::before{padding-top:5px}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-icon{transform:rotate(-180deg)}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-title{border-bottom:solid #dee2e6 1px}.quarto-sidebar-toggle-contents{background-color:#222;padding-right:10px;padding-left:10px;margin-top:0px !important;transition:max-height .5s ease}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-contents{padding-top:1em;padding-bottom:10px}.quarto-sidebar-toggle:not(.expanded) .quarto-sidebar-toggle-contents{padding-top:0px !important;padding-bottom:0px}nav[role=doc-toc]{z-index:1020}#quarto-sidebar>*,nav[role=doc-toc]>*{transition:opacity .1s ease,border .1s ease}#quarto-sidebar.slow>*,nav[role=doc-toc].slow>*{transition:opacity .4s ease,border .4s ease}.quarto-color-scheme-toggle:not(.alternate).top-right .bi::before{background-image:url('data:image/svg+xml,')}.quarto-color-scheme-toggle.alternate.top-right .bi::before{background-image:url('data:image/svg+xml,')}#quarto-appendix.default{border-top:1px solid #dee2e6}#quarto-appendix.default{background-color:#222;padding-top:1.5em;margin-top:2em;z-index:998}#quarto-appendix.default .quarto-appendix-heading{margin-top:0;line-height:1.4em;font-weight:600;opacity:.9;border-bottom:none;margin-bottom:0}#quarto-appendix.default .footnotes ol,#quarto-appendix.default .footnotes ol li>p:last-of-type,#quarto-appendix.default .quarto-appendix-contents>p:last-of-type{margin-bottom:0}#quarto-appendix.default .quarto-appendix-secondary-label{margin-bottom:.4em}#quarto-appendix.default .quarto-appendix-bibtex{font-size:.7em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-bibtex code.sourceCode{white-space:pre-wrap}#quarto-appendix.default .quarto-appendix-citeas{font-size:.9em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-heading{font-size:1em !important}#quarto-appendix.default *[role=doc-endnotes]>ol,#quarto-appendix.default .quarto-appendix-contents>*:not(h2):not(.h2){font-size:.9em}#quarto-appendix.default section{padding-bottom:1.5em}#quarto-appendix.default section *[role=doc-endnotes],#quarto-appendix.default section>*:not(a){opacity:.9;word-wrap:break-word}.btn.btn-quarto,div.cell-output-display .btn-quarto{color:#d9d9d9;background-color:#434343;border-color:#434343}.btn.btn-quarto:hover,div.cell-output-display .btn-quarto:hover{color:#d9d9d9;background-color:#5f5f5f;border-color:#565656}.btn-check:focus+.btn.btn-quarto,.btn.btn-quarto:focus,.btn-check:focus+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:focus{color:#d9d9d9;background-color:#5f5f5f;border-color:#565656;box-shadow:0 0 0 .25rem rgba(90,90,90,.5)}.btn-check:checked+.btn.btn-quarto,.btn-check:active+.btn.btn-quarto,.btn.btn-quarto:active,.btn.btn-quarto.active,.show>.btn.btn-quarto.dropdown-toggle,.btn-check:checked+div.cell-output-display .btn-quarto,.btn-check:active+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:active,div.cell-output-display .btn-quarto.active,.show>div.cell-output-display .btn-quarto.dropdown-toggle{color:#fff;background-color:dimgray;border-color:#565656}.btn-check:checked+.btn.btn-quarto:focus,.btn-check:active+.btn.btn-quarto:focus,.btn.btn-quarto:active:focus,.btn.btn-quarto.active:focus,.show>.btn.btn-quarto.dropdown-toggle:focus,.btn-check:checked+div.cell-output-display .btn-quarto:focus,.btn-check:active+div.cell-output-display .btn-quarto:focus,div.cell-output-display .btn-quarto:active:focus,div.cell-output-display .btn-quarto.active:focus,.show>div.cell-output-display .btn-quarto.dropdown-toggle:focus{box-shadow:0 0 0 .25rem rgba(90,90,90,.5)}.btn.btn-quarto:disabled,.btn.btn-quarto.disabled,div.cell-output-display .btn-quarto:disabled,div.cell-output-display .btn-quarto.disabled{color:#fff;background-color:#434343;border-color:#434343}nav.quarto-secondary-nav.color-navbar{background-color:#375a7f;color:#dee2e6}nav.quarto-secondary-nav.color-navbar h1,nav.quarto-secondary-nav.color-navbar .h1,nav.quarto-secondary-nav.color-navbar .quarto-btn-toggle{color:#dee2e6}@media(max-width: 991.98px){body.nav-sidebar .quarto-title-banner{margin-bottom:0;padding-bottom:0}body.nav-sidebar #title-block-header{margin-block-end:0}}p.subtitle{margin-top:.25em;margin-bottom:.5em}code a:any-link{color:inherit;text-decoration-color:#6c757d}/*! dark */div.observablehq table thead tr th{background-color:var(--bs-body-bg)}input,button,select,optgroup,textarea{background-color:var(--bs-body-bg)}.code-annotated .code-copy-button{margin-right:1.25em;margin-top:0;padding-bottom:0;padding-top:3px}.code-annotation-gutter-bg{background-color:#222}.code-annotation-gutter{background-color:#000}.code-annotation-gutter,.code-annotation-gutter-bg{height:100%;width:calc(20px + .5em);position:absolute;top:0;right:0}dl.code-annotation-container-grid dt{margin-right:1em;margin-top:.25rem}dl.code-annotation-container-grid dt{font-family:var(--bs-font-monospace);color:#e6e6e6;border:solid #e6e6e6 1px;border-radius:50%;height:22px;width:22px;line-height:22px;font-size:11px;text-align:center;vertical-align:middle;text-decoration:none}dl.code-annotation-container-grid dt[data-target-cell]{cursor:pointer}dl.code-annotation-container-grid dt[data-target-cell].code-annotation-active{color:#222;border:solid #aaa 1px;background-color:#aaa}pre.code-annotation-code{padding-top:0;padding-bottom:0}pre.code-annotation-code code{z-index:3}#code-annotation-line-highlight-gutter{width:100%;border-top:solid rgba(170,170,170,.2666666667) 1px;border-bottom:solid rgba(170,170,170,.2666666667) 1px;z-index:2;background-color:rgba(170,170,170,.1333333333)}#code-annotation-line-highlight{margin-left:-4em;width:calc(100% + 4em);border-top:solid rgba(170,170,170,.2666666667) 1px;border-bottom:solid rgba(170,170,170,.2666666667) 1px;z-index:2;background-color:rgba(170,170,170,.1333333333)}code.sourceCode .code-annotation-anchor.code-annotation-active{background-color:var(--quarto-hl-normal-color, #aaaaaa);border:solid var(--quarto-hl-normal-color, #aaaaaa) 1px;color:#000;font-weight:bolder}code.sourceCode .code-annotation-anchor{font-family:var(--bs-font-monospace);color:var(--quarto-hl-co-color);border:solid var(--quarto-hl-co-color) 1px;border-radius:50%;height:18px;width:18px;font-size:9px;margin-top:2px}code.sourceCode button.code-annotation-anchor{padding:2px}code.sourceCode a.code-annotation-anchor{line-height:18px;text-align:center;vertical-align:middle;cursor:default;text-decoration:none}@media print{.page-columns .column-screen-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#222}.page-columns .column-screen-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#222}.page-columns .column-screen-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#222}.page-columns .column-screen{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#222}.page-columns .column-screen-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#222}.page-columns .column-screen-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#222}.page-columns .column-screen-inset-shaded{grid-column:page-start-inset/page-end-inset;padding:1em;background:#6f6f6f;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}}.quarto-video{margin-bottom:1em}.table>thead{border-top-width:0}.table>:not(caption)>*:not(:last-child)>*{border-bottom-color:#fff;border-bottom-style:solid;border-bottom-width:1px}.table>:not(:first-child){border-top:1px solid #fff;border-bottom:1px solid inherit}.table tbody{border-bottom-color:#fff}a.external:after{display:inline-block;height:.75rem;width:.75rem;margin-bottom:.15em;margin-left:.25em;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:.75rem .75rem}div.sourceCode code a.external:after{content:none}a.external:after:hover{cursor:pointer}.quarto-ext-icon{display:inline-block;font-size:.75em;padding-left:.3em}.code-with-filename .code-with-filename-file{margin-bottom:0;padding-bottom:2px;padding-top:2px;padding-left:.7em;border:var(--quarto-border-width) solid var(--quarto-border-color);border-radius:var(--quarto-border-radius);border-bottom:0;border-bottom-left-radius:0%;border-bottom-right-radius:0%}.code-with-filename div.sourceCode,.reveal .code-with-filename div.sourceCode{margin-top:0;border-top-left-radius:0%;border-top-right-radius:0%}.code-with-filename .code-with-filename-file pre{margin-bottom:0}.code-with-filename .code-with-filename-file,.code-with-filename .code-with-filename-file pre{background-color:rgba(219,219,219,.8)}.quarto-dark .code-with-filename .code-with-filename-file,.quarto-dark .code-with-filename .code-with-filename-file pre{background-color:#555}.code-with-filename .code-with-filename-file strong{font-weight:400}.blockquote-footer{color:#595959}.input-group-addon{color:#fff}.form-floating>label{color:#444}.nav-tabs .nav-link,.nav-tabs .nav-link.active,.nav-tabs .nav-link.active:focus,.nav-tabs .nav-link.active:hover,.nav-tabs .nav-item.open .nav-link,.nav-tabs .nav-item.open .nav-link:focus,.nav-tabs .nav-item.open .nav-link:hover,.nav-pills .nav-link,.nav-pills .nav-link.active,.nav-pills .nav-link.active:focus,.nav-pills .nav-link.active:hover,.nav-pills .nav-item.open .nav-link,.nav-pills .nav-item.open .nav-link:focus,.nav-pills .nav-item.open .nav-link:hover{color:#fff}.breadcrumb a{color:#fff}.pagination a:hover{text-decoration:none}.alert{border:none;color:#fff}.alert a,.alert .alert-link{color:#fff;text-decoration:underline}.alert-default{background-color:#434343}.alert-primary{background-color:#375a7f}.alert-secondary{background-color:#434343}.alert-success{background-color:#00bc8c}.alert-info{background-color:#3498db}.alert-warning{background-color:#f39c12}.alert-danger{background-color:#e74c3c}.alert-light{background-color:#6f6f6f}.alert-dark{background-color:#2d2d2d}.quarto-title-banner{margin-bottom:1em;color:#dee2e6;background:#375a7f}.quarto-title-banner .code-tools-button{color:#a4afba}.quarto-title-banner .code-tools-button:hover{color:#dee2e6}.quarto-title-banner .code-tools-button>.bi::before{background-image:url('data:image/svg+xml,')}.quarto-title-banner .code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}.quarto-title-banner .quarto-title .title{font-weight:600}.quarto-title-banner .quarto-categories{margin-top:.75em}@media(min-width: 992px){.quarto-title-banner{padding-top:2.5em;padding-bottom:2.5em}}@media(max-width: 991.98px){.quarto-title-banner{padding-top:1em;padding-bottom:1em}}main.quarto-banner-title-block>section:first-child>h2,main.quarto-banner-title-block>section:first-child>.h2,main.quarto-banner-title-block>section:first-child>h3,main.quarto-banner-title-block>section:first-child>.h3,main.quarto-banner-title-block>section:first-child>h4,main.quarto-banner-title-block>section:first-child>.h4{margin-top:0}.quarto-title .quarto-categories{display:flex;flex-wrap:wrap;row-gap:.5em;column-gap:.4em;padding-bottom:.5em;margin-top:.75em}.quarto-title .quarto-categories .quarto-category{padding:.25em .75em;font-size:.65em;text-transform:uppercase;border:solid 1px;border-radius:.25rem;opacity:.6}.quarto-title .quarto-categories .quarto-category a{color:inherit}#title-block-header.quarto-title-block.default .quarto-title-meta{display:grid;grid-template-columns:repeat(2, 1fr)}#title-block-header.quarto-title-block.default .quarto-title .title{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-author-orcid img{margin-top:-5px}#title-block-header.quarto-title-block.default .quarto-description p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p,#title-block-header.quarto-title-block.default .quarto-title-authors p,#title-block-header.quarto-title-block.default .quarto-title-affiliations p{margin-bottom:.1em}#title-block-header.quarto-title-block.default .quarto-title-meta-heading{text-transform:uppercase;margin-top:1em;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-contents{font-size:.9em}#title-block-header.quarto-title-block.default .quarto-title-meta-contents a{color:#fff}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p.affiliation:last-of-type{margin-bottom:.7em}#title-block-header.quarto-title-block.default p.affiliation{margin-bottom:.1em}#title-block-header.quarto-title-block.default .description,#title-block-header.quarto-title-block.default .abstract{margin-top:0}#title-block-header.quarto-title-block.default .description>p,#title-block-header.quarto-title-block.default .abstract>p{font-size:.9em}#title-block-header.quarto-title-block.default .description>p:last-of-type,#title-block-header.quarto-title-block.default .abstract>p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .description .abstract-title,#title-block-header.quarto-title-block.default .abstract .abstract-title{margin-top:1em;text-transform:uppercase;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-author{display:grid;grid-template-columns:1fr 1fr}.quarto-title-tools-only{display:flex;justify-content:right}/*# sourceMappingURL=945575463e70190d99eb671cb8520afc.css.map */ diff --git a/site_libs/bootstrap/bootstrap.min.css b/site_libs/bootstrap/bootstrap.min.css index c92686d..f5da7b1 100644 --- a/site_libs/bootstrap/bootstrap.min.css +++ b/site_libs/bootstrap/bootstrap.min.css @@ -7,4 +7,4 @@ * * ansi colors from IPython notebook's * -*/.ansi-black-fg{color:#3e424d}.ansi-black-bg{background-color:#3e424d}.ansi-black-intense-fg{color:#282c36}.ansi-black-intense-bg{background-color:#282c36}.ansi-red-fg{color:#e75c58}.ansi-red-bg{background-color:#e75c58}.ansi-red-intense-fg{color:#b22b31}.ansi-red-intense-bg{background-color:#b22b31}.ansi-green-fg{color:#00a250}.ansi-green-bg{background-color:#00a250}.ansi-green-intense-fg{color:#007427}.ansi-green-intense-bg{background-color:#007427}.ansi-yellow-fg{color:#ddb62b}.ansi-yellow-bg{background-color:#ddb62b}.ansi-yellow-intense-fg{color:#b27d12}.ansi-yellow-intense-bg{background-color:#b27d12}.ansi-blue-fg{color:#208ffb}.ansi-blue-bg{background-color:#208ffb}.ansi-blue-intense-fg{color:#0065ca}.ansi-blue-intense-bg{background-color:#0065ca}.ansi-magenta-fg{color:#d160c4}.ansi-magenta-bg{background-color:#d160c4}.ansi-magenta-intense-fg{color:#a03196}.ansi-magenta-intense-bg{background-color:#a03196}.ansi-cyan-fg{color:#60c6c8}.ansi-cyan-bg{background-color:#60c6c8}.ansi-cyan-intense-fg{color:#258f8f}.ansi-cyan-intense-bg{background-color:#258f8f}.ansi-white-fg{color:#c5c1b4}.ansi-white-bg{background-color:#c5c1b4}.ansi-white-intense-fg{color:#a1a6b2}.ansi-white-intense-bg{background-color:#a1a6b2}.ansi-default-inverse-fg{color:#fff}.ansi-default-inverse-bg{background-color:#000}.ansi-bold{font-weight:bold}.ansi-underline{text-decoration:underline}:root{--quarto-body-bg: #fff;--quarto-body-color: #3e3f3a;--quarto-text-muted: #6c757d;--quarto-border-color: #dee2e6;--quarto-border-width: 1px;--quarto-border-radius: 0.25rem}table.gt_table{color:var(--quarto-body-color);font-size:1em;width:100%;background-color:rgba(0,0,0,0);border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_column_spanner_outer{color:var(--quarto-body-color);background-color:rgba(0,0,0,0);border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_col_heading{color:var(--quarto-body-color);font-weight:bold;background-color:rgba(0,0,0,0)}table.gt_table thead.gt_col_headings{border-bottom:1px solid currentColor;border-top-width:inherit;border-top-color:var(--quarto-border-color)}table.gt_table thead.gt_col_headings:not(:first-child){border-top-width:1px;border-top-color:var(--quarto-border-color)}table.gt_table td.gt_row{border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-width:0px}table.gt_table tbody.gt_table_body{border-top-width:1px;border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-color:currentColor}div.columns{display:initial;gap:initial}div.column{display:inline-block;overflow-x:initial;vertical-align:top;width:50%}.code-annotation-tip-content{word-wrap:break-word}.code-annotation-container-hidden{display:none !important}dl.code-annotation-container-grid{display:grid;grid-template-columns:min-content auto}dl.code-annotation-container-grid dt{grid-column:1}dl.code-annotation-container-grid dd{grid-column:2}pre.sourceCode.code-annotation-code{padding-right:0}code.sourceCode .code-annotation-anchor{z-index:100;position:absolute;right:.5em;left:inherit;background-color:rgba(0,0,0,0)}:root{--mermaid-bg-color: #fff;--mermaid-edge-color: #6c757d;--mermaid-node-fg-color: #3e3f3a;--mermaid-fg-color: #3e3f3a;--mermaid-fg-color--lighter: #585a52;--mermaid-fg-color--lightest: #72746b;--mermaid-font-family: Roboto, -apple-system, BlinkMacSystemFont, Segoe UI, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol;--mermaid-label-bg-color: #fff;--mermaid-label-fg-color: #325d88;--mermaid-node-bg-color: rgba(50, 93, 136, 0.1);--mermaid-node-fg-color: #3e3f3a}@media print{:root{font-size:11pt}#quarto-sidebar,#TOC,.nav-page{display:none}.page-columns .content{grid-column-start:page-start}.fixed-top{position:relative}.panel-caption,.figure-caption,figcaption{color:#666}}.code-copy-button{position:absolute;top:0;right:0;border:0;margin-top:5px;margin-right:5px;background-color:rgba(0,0,0,0);z-index:3}.code-copy-button:focus{outline:none}.code-copy-button-tooltip{font-size:.75em}pre.sourceCode:hover>.code-copy-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:1rem 1rem}pre.sourceCode:hover>.code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,')}pre.sourceCode:hover>.code-copy-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}pre.sourceCode:hover>.code-copy-button-checked:hover>.bi::before{background-image:url('data:image/svg+xml,')}main ol ol,main ul ul,main ol ul,main ul ol{margin-bottom:1em}ul>li:not(:has(>p))>ul,ol>li:not(:has(>p))>ul,ul>li:not(:has(>p))>ol,ol>li:not(:has(>p))>ol{margin-bottom:0}ul>li:not(:has(>p))>ul>li:has(>p),ol>li:not(:has(>p))>ul>li:has(>p),ul>li:not(:has(>p))>ol>li:has(>p),ol>li:not(:has(>p))>ol>li:has(>p){margin-top:1rem}body{margin:0}main.page-columns>header>h1.title,main.page-columns>header>.title.h1{margin-bottom:0}@media(min-width: 992px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] 35px [page-end-inset page-end] 5fr [screen-end-inset] 1.5em}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 3em [body-end] 50px [body-end-outset] minmax(0px, 250px) [page-end-inset] minmax(50px, 100px) [page-end] 1fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(50px, 100px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(50px, 150px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 991.98px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 1250px - 3em )) [body-content-end body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1.5em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 4fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 4fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 4fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 767.98px){body .page-columns,body.fullcontent:not(.floating):not(.docked) .page-columns,body.slimcontent:not(.floating):not(.docked) .page-columns,body.docked .page-columns,body.docked.slimcontent .page-columns,body.docked.fullcontent .page-columns,body.floating .page-columns,body.floating.slimcontent .page-columns,body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}nav[role=doc-toc]{display:none}}body,.page-row-navigation{grid-template-rows:[page-top] max-content [contents-top] max-content [contents-bottom] max-content [page-bottom]}.page-rows-contents{grid-template-rows:[content-top] minmax(max-content, 1fr) [content-bottom] minmax(60px, max-content) [page-bottom]}.page-full{grid-column:screen-start/screen-end !important}.page-columns>*{grid-column:body-content-start/body-content-end}.page-columns.column-page>*{grid-column:page-start/page-end}.page-columns.column-page-left>*{grid-column:page-start/body-content-end}.page-columns.column-page-right>*{grid-column:body-content-start/page-end}.page-rows{grid-auto-rows:auto}.header{grid-column:screen-start/screen-end;grid-row:page-top/contents-top}#quarto-content{padding:0;grid-column:screen-start/screen-end;grid-row:contents-top/contents-bottom}body.floating .sidebar.sidebar-navigation{grid-column:page-start/body-start;grid-row:content-top/page-bottom}body.docked .sidebar.sidebar-navigation{grid-column:screen-start/body-start;grid-row:content-top/page-bottom}.sidebar.toc-left{grid-column:page-start/body-start;grid-row:content-top/page-bottom}.sidebar.margin-sidebar{grid-column:body-end/page-end;grid-row:content-top/page-bottom}.page-columns .content{grid-column:body-content-start/body-content-end;grid-row:content-top/content-bottom;align-content:flex-start}.page-columns .page-navigation{grid-column:body-content-start/body-content-end;grid-row:content-bottom/page-bottom}.page-columns .footer{grid-column:screen-start/screen-end;grid-row:contents-bottom/page-bottom}.page-columns .column-body{grid-column:body-content-start/body-content-end}.page-columns .column-body-fullbleed{grid-column:body-start/body-end}.page-columns .column-body-outset{grid-column:body-start-outset/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset table{background:#fff}.page-columns .column-body-outset-left{grid-column:body-start-outset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-left table{background:#fff}.page-columns .column-body-outset-right{grid-column:body-content-start/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-right table{background:#fff}.page-columns .column-page{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page table{background:#fff}.page-columns .column-page-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset table{background:#fff}.page-columns .column-page-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-left table{background:#fff}.page-columns .column-page-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-right figcaption table{background:#fff}.page-columns .column-page-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-left table{background:#fff}.page-columns .column-page-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-right figcaption table{background:#fff}#quarto-content.page-columns #quarto-margin-sidebar,#quarto-content.page-columns #quarto-sidebar{z-index:1}@media(max-width: 991.98px){#quarto-content.page-columns #quarto-margin-sidebar.collapse,#quarto-content.page-columns #quarto-sidebar.collapse,#quarto-content.page-columns #quarto-margin-sidebar.collapsing,#quarto-content.page-columns #quarto-sidebar.collapsing{z-index:1055}}#quarto-content.page-columns main.column-page,#quarto-content.page-columns main.column-page-right,#quarto-content.page-columns main.column-page-left{z-index:0}.page-columns .column-screen-inset{grid-column:screen-start-inset/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#fff}.page-columns .column-screen-inset-left{grid-column:screen-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#fff}.page-columns .column-screen-inset-right{grid-column:body-content-start/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#fff}.page-columns .column-screen{grid-column:screen-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#fff}.page-columns .column-screen-left{grid-column:screen-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#fff}.page-columns .column-screen-right{grid-column:body-content-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#fff}.page-columns .column-screen-inset-shaded{grid-column:screen-start/screen-end;padding:1em;background:#f8f5f0;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}.zindex-content{z-index:998;transform:translate3d(0, 0, 0)}.zindex-modal{z-index:1055;transform:translate3d(0, 0, 0)}.zindex-over-content{z-index:999;transform:translate3d(0, 0, 0)}img.img-fluid.column-screen,img.img-fluid.column-screen-inset-shaded,img.img-fluid.column-screen-inset,img.img-fluid.column-screen-inset-left,img.img-fluid.column-screen-inset-right,img.img-fluid.column-screen-left,img.img-fluid.column-screen-right{width:100%}@media(min-width: 992px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.column-sidebar{grid-column:page-start/body-start !important;z-index:998}.column-leftmargin{grid-column:screen-start-inset/body-start !important;z-index:998}.no-row-height{height:1em;overflow:visible}}@media(max-width: 991.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.no-row-height{height:1em;overflow:visible}.page-columns.page-full{overflow:visible}.page-columns.toc-left .margin-caption,.page-columns.toc-left div.aside,.page-columns.toc-left aside,.page-columns.toc-left .column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.page-columns.toc-left .no-row-height{height:initial;overflow:initial}}@media(max-width: 767.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.no-row-height{height:initial;overflow:initial}#quarto-margin-sidebar{display:none}#quarto-sidebar-toc-left{display:none}.hidden-sm{display:none}}.panel-grid{display:grid;grid-template-rows:repeat(1, 1fr);grid-template-columns:repeat(24, 1fr);gap:1em}.panel-grid .g-col-1{grid-column:auto/span 1}.panel-grid .g-col-2{grid-column:auto/span 2}.panel-grid .g-col-3{grid-column:auto/span 3}.panel-grid .g-col-4{grid-column:auto/span 4}.panel-grid .g-col-5{grid-column:auto/span 5}.panel-grid .g-col-6{grid-column:auto/span 6}.panel-grid .g-col-7{grid-column:auto/span 7}.panel-grid .g-col-8{grid-column:auto/span 8}.panel-grid .g-col-9{grid-column:auto/span 9}.panel-grid .g-col-10{grid-column:auto/span 10}.panel-grid .g-col-11{grid-column:auto/span 11}.panel-grid .g-col-12{grid-column:auto/span 12}.panel-grid .g-col-13{grid-column:auto/span 13}.panel-grid .g-col-14{grid-column:auto/span 14}.panel-grid .g-col-15{grid-column:auto/span 15}.panel-grid .g-col-16{grid-column:auto/span 16}.panel-grid .g-col-17{grid-column:auto/span 17}.panel-grid .g-col-18{grid-column:auto/span 18}.panel-grid .g-col-19{grid-column:auto/span 19}.panel-grid .g-col-20{grid-column:auto/span 20}.panel-grid .g-col-21{grid-column:auto/span 21}.panel-grid .g-col-22{grid-column:auto/span 22}.panel-grid .g-col-23{grid-column:auto/span 23}.panel-grid .g-col-24{grid-column:auto/span 24}.panel-grid .g-start-1{grid-column-start:1}.panel-grid .g-start-2{grid-column-start:2}.panel-grid .g-start-3{grid-column-start:3}.panel-grid .g-start-4{grid-column-start:4}.panel-grid .g-start-5{grid-column-start:5}.panel-grid .g-start-6{grid-column-start:6}.panel-grid .g-start-7{grid-column-start:7}.panel-grid .g-start-8{grid-column-start:8}.panel-grid .g-start-9{grid-column-start:9}.panel-grid .g-start-10{grid-column-start:10}.panel-grid .g-start-11{grid-column-start:11}.panel-grid .g-start-12{grid-column-start:12}.panel-grid .g-start-13{grid-column-start:13}.panel-grid .g-start-14{grid-column-start:14}.panel-grid .g-start-15{grid-column-start:15}.panel-grid .g-start-16{grid-column-start:16}.panel-grid .g-start-17{grid-column-start:17}.panel-grid .g-start-18{grid-column-start:18}.panel-grid .g-start-19{grid-column-start:19}.panel-grid .g-start-20{grid-column-start:20}.panel-grid .g-start-21{grid-column-start:21}.panel-grid .g-start-22{grid-column-start:22}.panel-grid .g-start-23{grid-column-start:23}@media(min-width: 576px){.panel-grid .g-col-sm-1{grid-column:auto/span 1}.panel-grid .g-col-sm-2{grid-column:auto/span 2}.panel-grid .g-col-sm-3{grid-column:auto/span 3}.panel-grid .g-col-sm-4{grid-column:auto/span 4}.panel-grid .g-col-sm-5{grid-column:auto/span 5}.panel-grid .g-col-sm-6{grid-column:auto/span 6}.panel-grid .g-col-sm-7{grid-column:auto/span 7}.panel-grid .g-col-sm-8{grid-column:auto/span 8}.panel-grid .g-col-sm-9{grid-column:auto/span 9}.panel-grid .g-col-sm-10{grid-column:auto/span 10}.panel-grid .g-col-sm-11{grid-column:auto/span 11}.panel-grid .g-col-sm-12{grid-column:auto/span 12}.panel-grid .g-col-sm-13{grid-column:auto/span 13}.panel-grid .g-col-sm-14{grid-column:auto/span 14}.panel-grid .g-col-sm-15{grid-column:auto/span 15}.panel-grid .g-col-sm-16{grid-column:auto/span 16}.panel-grid .g-col-sm-17{grid-column:auto/span 17}.panel-grid .g-col-sm-18{grid-column:auto/span 18}.panel-grid .g-col-sm-19{grid-column:auto/span 19}.panel-grid .g-col-sm-20{grid-column:auto/span 20}.panel-grid .g-col-sm-21{grid-column:auto/span 21}.panel-grid .g-col-sm-22{grid-column:auto/span 22}.panel-grid .g-col-sm-23{grid-column:auto/span 23}.panel-grid .g-col-sm-24{grid-column:auto/span 24}.panel-grid .g-start-sm-1{grid-column-start:1}.panel-grid .g-start-sm-2{grid-column-start:2}.panel-grid .g-start-sm-3{grid-column-start:3}.panel-grid .g-start-sm-4{grid-column-start:4}.panel-grid .g-start-sm-5{grid-column-start:5}.panel-grid .g-start-sm-6{grid-column-start:6}.panel-grid .g-start-sm-7{grid-column-start:7}.panel-grid .g-start-sm-8{grid-column-start:8}.panel-grid .g-start-sm-9{grid-column-start:9}.panel-grid .g-start-sm-10{grid-column-start:10}.panel-grid .g-start-sm-11{grid-column-start:11}.panel-grid .g-start-sm-12{grid-column-start:12}.panel-grid .g-start-sm-13{grid-column-start:13}.panel-grid .g-start-sm-14{grid-column-start:14}.panel-grid .g-start-sm-15{grid-column-start:15}.panel-grid .g-start-sm-16{grid-column-start:16}.panel-grid .g-start-sm-17{grid-column-start:17}.panel-grid .g-start-sm-18{grid-column-start:18}.panel-grid .g-start-sm-19{grid-column-start:19}.panel-grid .g-start-sm-20{grid-column-start:20}.panel-grid .g-start-sm-21{grid-column-start:21}.panel-grid .g-start-sm-22{grid-column-start:22}.panel-grid .g-start-sm-23{grid-column-start:23}}@media(min-width: 768px){.panel-grid .g-col-md-1{grid-column:auto/span 1}.panel-grid .g-col-md-2{grid-column:auto/span 2}.panel-grid .g-col-md-3{grid-column:auto/span 3}.panel-grid .g-col-md-4{grid-column:auto/span 4}.panel-grid .g-col-md-5{grid-column:auto/span 5}.panel-grid .g-col-md-6{grid-column:auto/span 6}.panel-grid .g-col-md-7{grid-column:auto/span 7}.panel-grid .g-col-md-8{grid-column:auto/span 8}.panel-grid .g-col-md-9{grid-column:auto/span 9}.panel-grid .g-col-md-10{grid-column:auto/span 10}.panel-grid .g-col-md-11{grid-column:auto/span 11}.panel-grid .g-col-md-12{grid-column:auto/span 12}.panel-grid .g-col-md-13{grid-column:auto/span 13}.panel-grid .g-col-md-14{grid-column:auto/span 14}.panel-grid .g-col-md-15{grid-column:auto/span 15}.panel-grid .g-col-md-16{grid-column:auto/span 16}.panel-grid .g-col-md-17{grid-column:auto/span 17}.panel-grid .g-col-md-18{grid-column:auto/span 18}.panel-grid .g-col-md-19{grid-column:auto/span 19}.panel-grid .g-col-md-20{grid-column:auto/span 20}.panel-grid .g-col-md-21{grid-column:auto/span 21}.panel-grid .g-col-md-22{grid-column:auto/span 22}.panel-grid .g-col-md-23{grid-column:auto/span 23}.panel-grid .g-col-md-24{grid-column:auto/span 24}.panel-grid .g-start-md-1{grid-column-start:1}.panel-grid .g-start-md-2{grid-column-start:2}.panel-grid .g-start-md-3{grid-column-start:3}.panel-grid .g-start-md-4{grid-column-start:4}.panel-grid .g-start-md-5{grid-column-start:5}.panel-grid .g-start-md-6{grid-column-start:6}.panel-grid .g-start-md-7{grid-column-start:7}.panel-grid .g-start-md-8{grid-column-start:8}.panel-grid .g-start-md-9{grid-column-start:9}.panel-grid .g-start-md-10{grid-column-start:10}.panel-grid .g-start-md-11{grid-column-start:11}.panel-grid .g-start-md-12{grid-column-start:12}.panel-grid .g-start-md-13{grid-column-start:13}.panel-grid .g-start-md-14{grid-column-start:14}.panel-grid .g-start-md-15{grid-column-start:15}.panel-grid .g-start-md-16{grid-column-start:16}.panel-grid .g-start-md-17{grid-column-start:17}.panel-grid .g-start-md-18{grid-column-start:18}.panel-grid .g-start-md-19{grid-column-start:19}.panel-grid .g-start-md-20{grid-column-start:20}.panel-grid .g-start-md-21{grid-column-start:21}.panel-grid .g-start-md-22{grid-column-start:22}.panel-grid .g-start-md-23{grid-column-start:23}}@media(min-width: 992px){.panel-grid .g-col-lg-1{grid-column:auto/span 1}.panel-grid .g-col-lg-2{grid-column:auto/span 2}.panel-grid .g-col-lg-3{grid-column:auto/span 3}.panel-grid .g-col-lg-4{grid-column:auto/span 4}.panel-grid .g-col-lg-5{grid-column:auto/span 5}.panel-grid .g-col-lg-6{grid-column:auto/span 6}.panel-grid .g-col-lg-7{grid-column:auto/span 7}.panel-grid .g-col-lg-8{grid-column:auto/span 8}.panel-grid .g-col-lg-9{grid-column:auto/span 9}.panel-grid .g-col-lg-10{grid-column:auto/span 10}.panel-grid .g-col-lg-11{grid-column:auto/span 11}.panel-grid .g-col-lg-12{grid-column:auto/span 12}.panel-grid .g-col-lg-13{grid-column:auto/span 13}.panel-grid .g-col-lg-14{grid-column:auto/span 14}.panel-grid .g-col-lg-15{grid-column:auto/span 15}.panel-grid .g-col-lg-16{grid-column:auto/span 16}.panel-grid .g-col-lg-17{grid-column:auto/span 17}.panel-grid .g-col-lg-18{grid-column:auto/span 18}.panel-grid .g-col-lg-19{grid-column:auto/span 19}.panel-grid .g-col-lg-20{grid-column:auto/span 20}.panel-grid .g-col-lg-21{grid-column:auto/span 21}.panel-grid .g-col-lg-22{grid-column:auto/span 22}.panel-grid .g-col-lg-23{grid-column:auto/span 23}.panel-grid .g-col-lg-24{grid-column:auto/span 24}.panel-grid .g-start-lg-1{grid-column-start:1}.panel-grid .g-start-lg-2{grid-column-start:2}.panel-grid .g-start-lg-3{grid-column-start:3}.panel-grid .g-start-lg-4{grid-column-start:4}.panel-grid .g-start-lg-5{grid-column-start:5}.panel-grid .g-start-lg-6{grid-column-start:6}.panel-grid .g-start-lg-7{grid-column-start:7}.panel-grid .g-start-lg-8{grid-column-start:8}.panel-grid .g-start-lg-9{grid-column-start:9}.panel-grid .g-start-lg-10{grid-column-start:10}.panel-grid .g-start-lg-11{grid-column-start:11}.panel-grid .g-start-lg-12{grid-column-start:12}.panel-grid .g-start-lg-13{grid-column-start:13}.panel-grid .g-start-lg-14{grid-column-start:14}.panel-grid .g-start-lg-15{grid-column-start:15}.panel-grid .g-start-lg-16{grid-column-start:16}.panel-grid .g-start-lg-17{grid-column-start:17}.panel-grid .g-start-lg-18{grid-column-start:18}.panel-grid .g-start-lg-19{grid-column-start:19}.panel-grid .g-start-lg-20{grid-column-start:20}.panel-grid .g-start-lg-21{grid-column-start:21}.panel-grid .g-start-lg-22{grid-column-start:22}.panel-grid .g-start-lg-23{grid-column-start:23}}@media(min-width: 1200px){.panel-grid .g-col-xl-1{grid-column:auto/span 1}.panel-grid .g-col-xl-2{grid-column:auto/span 2}.panel-grid .g-col-xl-3{grid-column:auto/span 3}.panel-grid .g-col-xl-4{grid-column:auto/span 4}.panel-grid .g-col-xl-5{grid-column:auto/span 5}.panel-grid .g-col-xl-6{grid-column:auto/span 6}.panel-grid .g-col-xl-7{grid-column:auto/span 7}.panel-grid .g-col-xl-8{grid-column:auto/span 8}.panel-grid .g-col-xl-9{grid-column:auto/span 9}.panel-grid .g-col-xl-10{grid-column:auto/span 10}.panel-grid .g-col-xl-11{grid-column:auto/span 11}.panel-grid .g-col-xl-12{grid-column:auto/span 12}.panel-grid .g-col-xl-13{grid-column:auto/span 13}.panel-grid .g-col-xl-14{grid-column:auto/span 14}.panel-grid .g-col-xl-15{grid-column:auto/span 15}.panel-grid .g-col-xl-16{grid-column:auto/span 16}.panel-grid .g-col-xl-17{grid-column:auto/span 17}.panel-grid .g-col-xl-18{grid-column:auto/span 18}.panel-grid .g-col-xl-19{grid-column:auto/span 19}.panel-grid .g-col-xl-20{grid-column:auto/span 20}.panel-grid .g-col-xl-21{grid-column:auto/span 21}.panel-grid .g-col-xl-22{grid-column:auto/span 22}.panel-grid .g-col-xl-23{grid-column:auto/span 23}.panel-grid .g-col-xl-24{grid-column:auto/span 24}.panel-grid .g-start-xl-1{grid-column-start:1}.panel-grid .g-start-xl-2{grid-column-start:2}.panel-grid .g-start-xl-3{grid-column-start:3}.panel-grid .g-start-xl-4{grid-column-start:4}.panel-grid .g-start-xl-5{grid-column-start:5}.panel-grid .g-start-xl-6{grid-column-start:6}.panel-grid .g-start-xl-7{grid-column-start:7}.panel-grid .g-start-xl-8{grid-column-start:8}.panel-grid .g-start-xl-9{grid-column-start:9}.panel-grid .g-start-xl-10{grid-column-start:10}.panel-grid .g-start-xl-11{grid-column-start:11}.panel-grid .g-start-xl-12{grid-column-start:12}.panel-grid .g-start-xl-13{grid-column-start:13}.panel-grid .g-start-xl-14{grid-column-start:14}.panel-grid .g-start-xl-15{grid-column-start:15}.panel-grid .g-start-xl-16{grid-column-start:16}.panel-grid .g-start-xl-17{grid-column-start:17}.panel-grid .g-start-xl-18{grid-column-start:18}.panel-grid .g-start-xl-19{grid-column-start:19}.panel-grid .g-start-xl-20{grid-column-start:20}.panel-grid .g-start-xl-21{grid-column-start:21}.panel-grid .g-start-xl-22{grid-column-start:22}.panel-grid .g-start-xl-23{grid-column-start:23}}@media(min-width: 1400px){.panel-grid .g-col-xxl-1{grid-column:auto/span 1}.panel-grid .g-col-xxl-2{grid-column:auto/span 2}.panel-grid .g-col-xxl-3{grid-column:auto/span 3}.panel-grid .g-col-xxl-4{grid-column:auto/span 4}.panel-grid .g-col-xxl-5{grid-column:auto/span 5}.panel-grid .g-col-xxl-6{grid-column:auto/span 6}.panel-grid .g-col-xxl-7{grid-column:auto/span 7}.panel-grid .g-col-xxl-8{grid-column:auto/span 8}.panel-grid .g-col-xxl-9{grid-column:auto/span 9}.panel-grid .g-col-xxl-10{grid-column:auto/span 10}.panel-grid .g-col-xxl-11{grid-column:auto/span 11}.panel-grid .g-col-xxl-12{grid-column:auto/span 12}.panel-grid .g-col-xxl-13{grid-column:auto/span 13}.panel-grid .g-col-xxl-14{grid-column:auto/span 14}.panel-grid .g-col-xxl-15{grid-column:auto/span 15}.panel-grid .g-col-xxl-16{grid-column:auto/span 16}.panel-grid .g-col-xxl-17{grid-column:auto/span 17}.panel-grid .g-col-xxl-18{grid-column:auto/span 18}.panel-grid .g-col-xxl-19{grid-column:auto/span 19}.panel-grid .g-col-xxl-20{grid-column:auto/span 20}.panel-grid .g-col-xxl-21{grid-column:auto/span 21}.panel-grid .g-col-xxl-22{grid-column:auto/span 22}.panel-grid .g-col-xxl-23{grid-column:auto/span 23}.panel-grid .g-col-xxl-24{grid-column:auto/span 24}.panel-grid .g-start-xxl-1{grid-column-start:1}.panel-grid .g-start-xxl-2{grid-column-start:2}.panel-grid .g-start-xxl-3{grid-column-start:3}.panel-grid .g-start-xxl-4{grid-column-start:4}.panel-grid .g-start-xxl-5{grid-column-start:5}.panel-grid .g-start-xxl-6{grid-column-start:6}.panel-grid .g-start-xxl-7{grid-column-start:7}.panel-grid .g-start-xxl-8{grid-column-start:8}.panel-grid .g-start-xxl-9{grid-column-start:9}.panel-grid .g-start-xxl-10{grid-column-start:10}.panel-grid .g-start-xxl-11{grid-column-start:11}.panel-grid .g-start-xxl-12{grid-column-start:12}.panel-grid .g-start-xxl-13{grid-column-start:13}.panel-grid .g-start-xxl-14{grid-column-start:14}.panel-grid .g-start-xxl-15{grid-column-start:15}.panel-grid .g-start-xxl-16{grid-column-start:16}.panel-grid .g-start-xxl-17{grid-column-start:17}.panel-grid .g-start-xxl-18{grid-column-start:18}.panel-grid .g-start-xxl-19{grid-column-start:19}.panel-grid .g-start-xxl-20{grid-column-start:20}.panel-grid .g-start-xxl-21{grid-column-start:21}.panel-grid .g-start-xxl-22{grid-column-start:22}.panel-grid .g-start-xxl-23{grid-column-start:23}}main{margin-top:1em;margin-bottom:1em}h1,.h1,h2,.h2{opacity:.9;margin-top:2rem;margin-bottom:1rem;font-weight:600}h1.title,.title.h1{margin-top:0}h2,.h2{border-bottom:1px solid #dee2e6;padding-bottom:.5rem}h3,.h3{font-weight:600}h3,.h3,h4,.h4{opacity:.9;margin-top:1.5rem}h5,.h5,h6,.h6{opacity:.9}.header-section-number{color:#7f8177}.nav-link.active .header-section-number{color:inherit}mark,.mark{padding:0em}.panel-caption,caption,.figure-caption{font-size:.9rem}.panel-caption,.figure-caption,figcaption{color:#7f8177}.table-caption,caption{color:#3e3f3a}.quarto-layout-cell[data-ref-parent] caption{color:#7f8177}.column-margin figcaption,.margin-caption,div.aside,aside,.column-margin{color:#7f8177;font-size:.825rem}.panel-caption.margin-caption{text-align:inherit}.column-margin.column-container p{margin-bottom:0}.column-margin.column-container>*:not(.collapse){padding-top:.5em;padding-bottom:.5em;display:block}.column-margin.column-container>*.collapse:not(.show){display:none}@media(min-width: 768px){.column-margin.column-container .callout-margin-content:first-child{margin-top:4.5em}.column-margin.column-container .callout-margin-content-simple:first-child{margin-top:3.5em}}.margin-caption>*{padding-top:.5em;padding-bottom:.5em}@media(max-width: 767.98px){.quarto-layout-row{flex-direction:column}}.nav-tabs .nav-item{margin-top:1px;cursor:pointer}.tab-content{margin-top:0px;border-left:#dee2e6 1px solid;border-right:#dee2e6 1px solid;border-bottom:#dee2e6 1px solid;margin-left:0;padding:1em;margin-bottom:1em}@media(max-width: 767.98px){.layout-sidebar{margin-left:0;margin-right:0}}.panel-sidebar,.panel-sidebar .form-control,.panel-input,.panel-input .form-control,.selectize-dropdown{font-size:.9rem}.panel-sidebar .form-control,.panel-input .form-control{padding-top:.1rem}.tab-pane div.sourceCode{margin-top:0px}.tab-pane>p{padding-top:1em}.tab-content>.tab-pane:not(.active){display:none !important}div.sourceCode{background-color:#f8f5f0;border:1px solid #f8f5f0;border-radius:.25rem}pre.sourceCode{background-color:rgba(0,0,0,0)}pre.sourceCode{border:none;font-size:.875em;overflow:visible !important;padding:.4em}.callout pre.sourceCode{padding-left:0}div.sourceCode{overflow-y:hidden}.callout div.sourceCode{margin-left:initial}.blockquote{font-size:inherit;padding-left:1rem;padding-right:1.5rem;color:#7f8177}.blockquote h1:first-child,.blockquote .h1:first-child,.blockquote h2:first-child,.blockquote .h2:first-child,.blockquote h3:first-child,.blockquote .h3:first-child,.blockquote h4:first-child,.blockquote .h4:first-child,.blockquote h5:first-child,.blockquote .h5:first-child{margin-top:0}pre{background-color:initial;padding:initial;border:initial}p code:not(.sourceCode),li code:not(.sourceCode),td code:not(.sourceCode){background-color:#f8f5f0;padding:.2em}nav p code:not(.sourceCode),nav li code:not(.sourceCode),nav td code:not(.sourceCode){background-color:rgba(0,0,0,0);padding:0}td code:not(.sourceCode){white-space:pre-wrap}#quarto-embedded-source-code-modal>.modal-dialog{max-width:1000px;padding-left:1.75rem;padding-right:1.75rem}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body{padding:0}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body div.sourceCode{margin:0;padding:.2rem .2rem;border-radius:0px;border:none}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-header{padding:.7rem}.code-tools-button{font-size:1rem;padding:.15rem .15rem;margin-left:5px;color:#6c757d;background-color:rgba(0,0,0,0);transition:initial;cursor:pointer}.code-tools-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:1rem 1rem}.code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}#quarto-embedded-source-code-modal .code-copy-button>.bi::before{background-image:url('data:image/svg+xml,')}#quarto-embedded-source-code-modal .code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,')}.sidebar{will-change:top;transition:top 200ms linear;position:sticky;overflow-y:auto;padding-top:1.2em;max-height:100vh}.sidebar.toc-left,.sidebar.margin-sidebar{top:0px;padding-top:1em}.sidebar.toc-left>*,.sidebar.margin-sidebar>*{padding-top:.5em}.sidebar.quarto-banner-title-block-sidebar>*{padding-top:1.65em}figure .quarto-notebook-link{margin-top:.5em}.quarto-notebook-link{font-size:.75em;color:#6c757d;margin-bottom:1em;text-decoration:none;display:block}.quarto-notebook-link:hover{text-decoration:underline;color:#93c54b}.quarto-notebook-link::before{display:inline-block;height:.75rem;width:.75rem;margin-bottom:0em;margin-right:.25em;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:.75rem .75rem}.quarto-alternate-notebooks i.bi,.quarto-alternate-formats i.bi{margin-right:.4em}.quarto-notebook .cell-container{display:flex}.quarto-notebook .cell-container .cell{flex-grow:4}.quarto-notebook .cell-container .cell-decorator{padding-top:1.5em;padding-right:1em;text-align:right}.quarto-notebook h2,.quarto-notebook .h2{border-bottom:none}.sidebar .quarto-alternate-formats a,.sidebar .quarto-alternate-notebooks a{text-decoration:none}.sidebar .quarto-alternate-formats a:hover,.sidebar .quarto-alternate-notebooks a:hover{color:#93c54b}.sidebar .quarto-alternate-notebooks h2,.sidebar .quarto-alternate-notebooks .h2,.sidebar .quarto-alternate-formats h2,.sidebar .quarto-alternate-formats .h2,.sidebar nav[role=doc-toc]>h2,.sidebar nav[role=doc-toc]>.h2{font-size:.875rem;font-weight:400;margin-bottom:.5rem;margin-top:.3rem;font-family:inherit;border-bottom:0;padding-bottom:0;padding-top:0px}.sidebar .quarto-alternate-notebooks h2,.sidebar .quarto-alternate-notebooks .h2,.sidebar .quarto-alternate-formats h2,.sidebar .quarto-alternate-formats .h2{margin-top:1rem}.sidebar nav[role=doc-toc]>ul a{border-left:1px solid #f8f5f0;padding-left:.6rem}.sidebar .quarto-alternate-notebooks h2>ul a,.sidebar .quarto-alternate-notebooks .h2>ul a,.sidebar .quarto-alternate-formats h2>ul a,.sidebar .quarto-alternate-formats .h2>ul a{border-left:none;padding-left:.6rem}.sidebar .quarto-alternate-notebooks ul a:empty,.sidebar .quarto-alternate-formats ul a:empty,.sidebar nav[role=doc-toc]>ul a:empty{display:none}.sidebar .quarto-alternate-notebooks ul,.sidebar .quarto-alternate-formats ul,.sidebar nav[role=doc-toc] ul{padding-left:0;list-style:none;font-size:.875rem;font-weight:300}.sidebar .quarto-alternate-notebooks ul li a,.sidebar .quarto-alternate-formats ul li a,.sidebar nav[role=doc-toc]>ul li a{line-height:1.1rem;padding-bottom:.2rem;padding-top:.2rem;color:inherit}.sidebar nav[role=doc-toc] ul>li>ul>li>a{padding-left:1.2em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>a{padding-left:2.4em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>a{padding-left:3.6em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:4.8em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:6em}.sidebar nav[role=doc-toc] ul>li>a.active,.sidebar nav[role=doc-toc] ul>li>ul>li>a.active{border-left:1px solid #93c54b;color:#93c54b !important}.sidebar nav[role=doc-toc] ul>li>a:hover,.sidebar nav[role=doc-toc] ul>li>ul>li>a:hover{color:#93c54b !important}kbd,.kbd{color:#3e3f3a;background-color:#f8f9fa;border:1px solid;border-radius:5px;border-color:#dee2e6}div.hanging-indent{margin-left:1em;text-indent:-1em}.citation a,.footnote-ref{text-decoration:none}.footnotes ol{padding-left:1em}.tippy-content>*{margin-bottom:.7em}.tippy-content>*:last-child{margin-bottom:0}.table a{word-break:break-word}.table>thead{border-top-width:1px;border-top-color:#dee2e6;border-bottom:1px solid #bebfb9}.callout{margin-top:1.25rem;margin-bottom:1.25rem;border-radius:.25rem;overflow-wrap:break-word}.callout .callout-title-container{overflow-wrap:anywhere}.callout.callout-style-simple{padding:.4em .7em;border-left:5px solid;border-right:1px solid #dee2e6;border-top:1px solid #dee2e6;border-bottom:1px solid #dee2e6}.callout.callout-style-default{border-left:5px solid;border-right:1px solid #dee2e6;border-top:1px solid #dee2e6;border-bottom:1px solid #dee2e6}.callout .callout-body-container{flex-grow:1}.callout.callout-style-simple .callout-body{font-size:.9rem;font-weight:400}.callout.callout-style-default .callout-body{font-size:.9rem;font-weight:400}.callout.callout-titled .callout-body{margin-top:.2em}.callout:not(.no-icon).callout-titled.callout-style-simple .callout-body{padding-left:1.6em}.callout.callout-titled>.callout-header{padding-top:.2em;margin-bottom:-0.2em}.callout.callout-style-simple>div.callout-header{border-bottom:none;font-size:.9rem;font-weight:600;opacity:75%}.callout.callout-style-default>div.callout-header{border-bottom:none;font-weight:600;opacity:85%;font-size:.9rem;padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body{padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body>:first-child{margin-top:.5em}.callout>div.callout-header[data-bs-toggle=collapse]{cursor:pointer}.callout.callout-style-default .callout-header[aria-expanded=false],.callout.callout-style-default .callout-header[aria-expanded=true]{padding-top:0px;margin-bottom:0px;align-items:center}.callout.callout-titled .callout-body>:last-child:not(.sourceCode),.callout.callout-titled .callout-body>div>:last-child:not(.sourceCode){margin-bottom:.5rem}.callout:not(.callout-titled) .callout-body>:first-child,.callout:not(.callout-titled) .callout-body>div>:first-child{margin-top:.25rem}.callout:not(.callout-titled) .callout-body>:last-child,.callout:not(.callout-titled) .callout-body>div>:last-child{margin-bottom:.2rem}.callout.callout-style-simple .callout-icon::before,.callout.callout-style-simple .callout-toggle::before{height:1rem;width:1rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.callout.callout-style-default .callout-icon::before,.callout.callout-style-default .callout-toggle::before{height:.9rem;width:.9rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:.9rem .9rem}.callout.callout-style-default .callout-toggle::before{margin-top:5px}.callout .callout-btn-toggle .callout-toggle::before{transition:transform .2s linear}.callout .callout-header[aria-expanded=false] .callout-toggle::before{transform:rotate(-90deg)}.callout .callout-header[aria-expanded=true] .callout-toggle::before{transform:none}.callout.callout-style-simple:not(.no-icon) div.callout-icon-container{padding-top:.2em;padding-right:.55em}.callout.callout-style-default:not(.no-icon) div.callout-icon-container{padding-top:.1em;padding-right:.35em}.callout.callout-style-default:not(.no-icon) div.callout-title-container{margin-top:-1px}.callout.callout-style-default.callout-caution:not(.no-icon) div.callout-icon-container{padding-top:.3em;padding-right:.35em}.callout>.callout-body>.callout-icon-container>.no-icon,.callout>.callout-header>.callout-icon-container>.no-icon{display:none}div.callout.callout{border-left-color:#6c757d}div.callout.callout-style-default>.callout-header{background-color:#6c757d}div.callout-note.callout{border-left-color:#325d88}div.callout-note.callout-style-default>.callout-header{background-color:#ebeff3}div.callout-note:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-note.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-note .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-tip.callout{border-left-color:#93c54b}div.callout-tip.callout-style-default>.callout-header{background-color:#f4f9ed}div.callout-tip:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-tip.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-tip .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-warning.callout{border-left-color:#ffc107}div.callout-warning.callout-style-default>.callout-header{background-color:#fff9e6}div.callout-warning:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-warning.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-warning .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-caution.callout{border-left-color:#f47c3c}div.callout-caution.callout-style-default>.callout-header{background-color:#fef2ec}div.callout-caution:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-caution.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-caution .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-important.callout{border-left-color:#d9534f}div.callout-important.callout-style-default>.callout-header{background-color:#fbeeed}div.callout-important:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-important.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-important .callout-toggle::before{background-image:url('data:image/svg+xml,')}.quarto-toggle-container{display:flex;align-items:center}.quarto-reader-toggle .bi::before,.quarto-color-scheme-toggle .bi::before{display:inline-block;height:1rem;width:1rem;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.sidebar-navigation{padding-left:20px}.navbar .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,')}.navbar .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,')}.sidebar-navigation .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,')}.sidebar-navigation .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,')}.quarto-sidebar-toggle{border-color:#dee2e6;border-bottom-left-radius:.25rem;border-bottom-right-radius:.25rem;border-style:solid;border-width:1px;overflow:hidden;border-top-width:0px;padding-top:0px !important}.quarto-sidebar-toggle-title{cursor:pointer;padding-bottom:2px;margin-left:.25em;text-align:center;font-weight:400;font-size:.775em}#quarto-content .quarto-sidebar-toggle{background:#fafafa}#quarto-content .quarto-sidebar-toggle-title{color:#3e3f3a}.quarto-sidebar-toggle-icon{color:#dee2e6;margin-right:.5em;float:right;transition:transform .2s ease}.quarto-sidebar-toggle-icon::before{padding-top:5px}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-icon{transform:rotate(-180deg)}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-title{border-bottom:solid #dee2e6 1px}.quarto-sidebar-toggle-contents{background-color:#fff;padding-right:10px;padding-left:10px;margin-top:0px !important;transition:max-height .5s ease}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-contents{padding-top:1em;padding-bottom:10px}.quarto-sidebar-toggle:not(.expanded) .quarto-sidebar-toggle-contents{padding-top:0px !important;padding-bottom:0px}nav[role=doc-toc]{z-index:1020}#quarto-sidebar>*,nav[role=doc-toc]>*{transition:opacity .1s ease,border .1s ease}#quarto-sidebar.slow>*,nav[role=doc-toc].slow>*{transition:opacity .4s ease,border .4s ease}.quarto-color-scheme-toggle:not(.alternate).top-right .bi::before{background-image:url('data:image/svg+xml,')}.quarto-color-scheme-toggle.alternate.top-right .bi::before{background-image:url('data:image/svg+xml,')}#quarto-appendix.default{border-top:1px solid #dee2e6}#quarto-appendix.default{background-color:#fff;padding-top:1.5em;margin-top:2em;z-index:998}#quarto-appendix.default .quarto-appendix-heading{margin-top:0;line-height:1.4em;font-weight:600;opacity:.9;border-bottom:none;margin-bottom:0}#quarto-appendix.default .footnotes ol,#quarto-appendix.default .footnotes ol li>p:last-of-type,#quarto-appendix.default .quarto-appendix-contents>p:last-of-type{margin-bottom:0}#quarto-appendix.default .quarto-appendix-secondary-label{margin-bottom:.4em}#quarto-appendix.default .quarto-appendix-bibtex{font-size:.7em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-bibtex code.sourceCode{white-space:pre-wrap}#quarto-appendix.default .quarto-appendix-citeas{font-size:.9em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-heading{font-size:1em !important}#quarto-appendix.default *[role=doc-endnotes]>ol,#quarto-appendix.default .quarto-appendix-contents>*:not(h2):not(.h2){font-size:.9em}#quarto-appendix.default section{padding-bottom:1.5em}#quarto-appendix.default section *[role=doc-endnotes],#quarto-appendix.default section>*:not(a){opacity:.9;word-wrap:break-word}.btn.btn-quarto,div.cell-output-display .btn-quarto{color:#fefefe;background-color:#6c757d;border-color:#6c757d}.btn.btn-quarto:hover,div.cell-output-display .btn-quarto:hover{color:#fefefe;background-color:#828a91;border-color:#7b838a}.btn-check:focus+.btn.btn-quarto,.btn.btn-quarto:focus,.btn-check:focus+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:focus{color:#fefefe;background-color:#828a91;border-color:#7b838a;box-shadow:0 0 0 .25rem rgba(130,138,144,.5)}.btn-check:checked+.btn.btn-quarto,.btn-check:active+.btn.btn-quarto,.btn.btn-quarto:active,.btn.btn-quarto.active,.show>.btn.btn-quarto.dropdown-toggle,.btn-check:checked+div.cell-output-display .btn-quarto,.btn-check:active+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:active,div.cell-output-display .btn-quarto.active,.show>div.cell-output-display .btn-quarto.dropdown-toggle{color:#fff;background-color:#899197;border-color:#7b838a}.btn-check:checked+.btn.btn-quarto:focus,.btn-check:active+.btn.btn-quarto:focus,.btn.btn-quarto:active:focus,.btn.btn-quarto.active:focus,.show>.btn.btn-quarto.dropdown-toggle:focus,.btn-check:checked+div.cell-output-display .btn-quarto:focus,.btn-check:active+div.cell-output-display .btn-quarto:focus,div.cell-output-display .btn-quarto:active:focus,div.cell-output-display .btn-quarto.active:focus,.show>div.cell-output-display .btn-quarto.dropdown-toggle:focus{box-shadow:0 0 0 .25rem rgba(130,138,144,.5)}.btn.btn-quarto:disabled,.btn.btn-quarto.disabled,div.cell-output-display .btn-quarto:disabled,div.cell-output-display .btn-quarto.disabled{color:#fff;background-color:#6c757d;border-color:#6c757d}nav.quarto-secondary-nav.color-navbar{background-color:#325d88;color:rgba(255,255,255,.7)}nav.quarto-secondary-nav.color-navbar h1,nav.quarto-secondary-nav.color-navbar .h1,nav.quarto-secondary-nav.color-navbar .quarto-btn-toggle{color:rgba(255,255,255,.7)}@media(max-width: 991.98px){body.nav-sidebar .quarto-title-banner{margin-bottom:0;padding-bottom:0}body.nav-sidebar #title-block-header{margin-block-end:0}}p.subtitle{margin-top:.25em;margin-bottom:.5em}code a:any-link{color:inherit;text-decoration-color:#6c757d}/*! light */div.observablehq table thead tr th{background-color:var(--bs-body-bg)}input,button,select,optgroup,textarea{background-color:var(--bs-body-bg)}.code-annotated .code-copy-button{margin-right:1.25em;margin-top:0;padding-bottom:0;padding-top:3px}.code-annotation-gutter-bg{background-color:#fff}.code-annotation-gutter{background-color:#f8f5f0}.code-annotation-gutter,.code-annotation-gutter-bg{height:100%;width:calc(20px + .5em);position:absolute;top:0;right:0}dl.code-annotation-container-grid dt{margin-right:1em;margin-top:.25rem}dl.code-annotation-container-grid dt{font-family:var(--bs-font-monospace);color:#585a52;border:solid #585a52 1px;border-radius:50%;height:22px;width:22px;line-height:22px;font-size:11px;text-align:center;vertical-align:middle;text-decoration:none}dl.code-annotation-container-grid dt[data-target-cell]{cursor:pointer}dl.code-annotation-container-grid dt[data-target-cell].code-annotation-active{color:#fff;border:solid #aaa 1px;background-color:#aaa}pre.code-annotation-code{padding-top:0;padding-bottom:0}pre.code-annotation-code code{z-index:3}#code-annotation-line-highlight-gutter{width:100%;border-top:solid rgba(170,170,170,.2666666667) 1px;border-bottom:solid rgba(170,170,170,.2666666667) 1px;z-index:2;background-color:rgba(170,170,170,.1333333333)}#code-annotation-line-highlight{margin-left:-4em;width:calc(100% + 4em);border-top:solid rgba(170,170,170,.2666666667) 1px;border-bottom:solid rgba(170,170,170,.2666666667) 1px;z-index:2;background-color:rgba(170,170,170,.1333333333)}code.sourceCode .code-annotation-anchor.code-annotation-active{background-color:var(--quarto-hl-normal-color, #aaaaaa);border:solid var(--quarto-hl-normal-color, #aaaaaa) 1px;color:#f8f5f0;font-weight:bolder}code.sourceCode .code-annotation-anchor{font-family:var(--bs-font-monospace);color:var(--quarto-hl-co-color);border:solid var(--quarto-hl-co-color) 1px;border-radius:50%;height:18px;width:18px;font-size:9px;margin-top:2px}code.sourceCode button.code-annotation-anchor{padding:2px}code.sourceCode a.code-annotation-anchor{line-height:18px;text-align:center;vertical-align:middle;cursor:default;text-decoration:none}@media print{.page-columns .column-screen-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#fff}.page-columns .column-screen-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#fff}.page-columns .column-screen-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#fff}.page-columns .column-screen{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#fff}.page-columns .column-screen-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#fff}.page-columns .column-screen-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#fff}.page-columns .column-screen-inset-shaded{grid-column:page-start-inset/page-end-inset;padding:1em;background:#f8f5f0;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}}.quarto-video{margin-bottom:1em}.table>thead{border-top-width:0}.table>:not(caption)>*:not(:last-child)>*{border-bottom-color:#eff0ee;border-bottom-style:solid;border-bottom-width:1px}.table>:not(:first-child){border-top:1px solid #bebfb9;border-bottom:1px solid inherit}.table tbody{border-bottom-color:#bebfb9}a.external:after{display:inline-block;height:.75rem;width:.75rem;margin-bottom:.15em;margin-left:.25em;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:.75rem .75rem}div.sourceCode code a.external:after{content:none}a.external:after:hover{cursor:pointer}.quarto-ext-icon{display:inline-block;font-size:.75em;padding-left:.3em}.code-with-filename .code-with-filename-file{margin-bottom:0;padding-bottom:2px;padding-top:2px;padding-left:.7em;border:var(--quarto-border-width) solid var(--quarto-border-color);border-radius:var(--quarto-border-radius);border-bottom:0;border-bottom-left-radius:0%;border-bottom-right-radius:0%}.code-with-filename div.sourceCode,.reveal .code-with-filename div.sourceCode{margin-top:0;border-top-left-radius:0%;border-top-right-radius:0%}.code-with-filename .code-with-filename-file pre{margin-bottom:0}.code-with-filename .code-with-filename-file,.code-with-filename .code-with-filename-file pre{background-color:rgba(219,219,219,.8)}.quarto-dark .code-with-filename .code-with-filename-file,.quarto-dark .code-with-filename .code-with-filename-file pre{background-color:#555}.code-with-filename .code-with-filename-file strong{font-weight:400}.quarto-title-banner{margin-bottom:1em;color:rgba(255,255,255,.7);background:#325d88}.quarto-title-banner .code-tools-button{color:rgba(204,204,204,.7)}.quarto-title-banner .code-tools-button:hover{color:rgba(255,255,255,.7)}.quarto-title-banner .code-tools-button>.bi::before{background-image:url('data:image/svg+xml,')}.quarto-title-banner .code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}.quarto-title-banner .quarto-title .title{font-weight:600}.quarto-title-banner .quarto-categories{margin-top:.75em}@media(min-width: 992px){.quarto-title-banner{padding-top:2.5em;padding-bottom:2.5em}}@media(max-width: 991.98px){.quarto-title-banner{padding-top:1em;padding-bottom:1em}}main.quarto-banner-title-block>section:first-child>h2,main.quarto-banner-title-block>section:first-child>.h2,main.quarto-banner-title-block>section:first-child>h3,main.quarto-banner-title-block>section:first-child>.h3,main.quarto-banner-title-block>section:first-child>h4,main.quarto-banner-title-block>section:first-child>.h4{margin-top:0}.quarto-title .quarto-categories{display:flex;flex-wrap:wrap;row-gap:.5em;column-gap:.4em;padding-bottom:.5em;margin-top:.75em}.quarto-title .quarto-categories .quarto-category{padding:.25em .75em;font-size:.65em;text-transform:uppercase;border:solid 1px;border-radius:.25rem;opacity:.6}.quarto-title .quarto-categories .quarto-category a{color:inherit}#title-block-header.quarto-title-block.default .quarto-title-meta{display:grid;grid-template-columns:repeat(2, 1fr)}#title-block-header.quarto-title-block.default .quarto-title .title{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-author-orcid img{margin-top:-5px}#title-block-header.quarto-title-block.default .quarto-description p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p,#title-block-header.quarto-title-block.default .quarto-title-authors p,#title-block-header.quarto-title-block.default .quarto-title-affiliations p{margin-bottom:.1em}#title-block-header.quarto-title-block.default .quarto-title-meta-heading{text-transform:uppercase;margin-top:1em;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-contents{font-size:.9em}#title-block-header.quarto-title-block.default .quarto-title-meta-contents a{color:#3e3f3a}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p.affiliation:last-of-type{margin-bottom:.7em}#title-block-header.quarto-title-block.default p.affiliation{margin-bottom:.1em}#title-block-header.quarto-title-block.default .description,#title-block-header.quarto-title-block.default .abstract{margin-top:0}#title-block-header.quarto-title-block.default .description>p,#title-block-header.quarto-title-block.default .abstract>p{font-size:.9em}#title-block-header.quarto-title-block.default .description>p:last-of-type,#title-block-header.quarto-title-block.default .abstract>p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .description .abstract-title,#title-block-header.quarto-title-block.default .abstract .abstract-title{margin-top:1em;text-transform:uppercase;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-author{display:grid;grid-template-columns:1fr 1fr}.quarto-title-tools-only{display:flex;justify-content:right}.bg-primary{background-color:#3e3f3a !important}.bg-dark{background-color:#6c757d !important}.bg-light{background-color:#f8f5f0 !important}.sandstone,.tooltip,.dropdown-menu .dropdown-item,.pagination,.breadcrumb,.nav-pills .nav-link,.nav-tabs .nav-link,.btn,.navbar .nav-link{font-size:13px;line-height:22px;font-weight:500;text-transform:uppercase}.navbar-form input,.navbar-form .form-control{border:none}.btn:hover{border-color:rgba(0,0,0,0)}.btn-success,.btn-warning{color:#fff}.table .thead-dark th{background-color:#3e3f3a}.nav-tabs .nav-link{background-color:#f8f5f0;border-color:#dee2e6}.nav-tabs .nav-link,.nav-tabs .nav-link:hover,.nav-tabs .nav-link:focus{color:#6c757d}.nav-tabs .nav-link.disabled,.nav-tabs .nav-link.disabled:hover,.nav-tabs .nav-link.disabled:focus{background-color:#f8f5f0;border-color:#dee2e6;color:#dee2e6}.nav-pills .nav-link{border:1px solid rgba(0,0,0,0);color:#6c757d}.nav-pills .nav-link.active,.nav-pills .nav-link:hover,.nav-pills .nav-link:focus{background-color:#f8f5f0;border-color:#dee2e6}.nav-pills .nav-link.disabled,.nav-pills .nav-link.disabled:hover{background-color:rgba(0,0,0,0);border-color:rgba(0,0,0,0);color:#dee2e6}.breadcrumb{border:1px solid #dee2e6}.pagination a:hover{text-decoration:none}.alert{color:#fff}.alert a,.alert .alert-link{color:#fff;text-decoration:underline}.alert-primary,.alert-primary>th,.alert-primary>td{background-color:#325d88}.alert-secondary,.alert-secondary>th,.alert-secondary>td{background-color:#6c757d}.alert-success,.alert-success>th,.alert-success>td{background-color:#93c54b}.alert-info,.alert-info>th,.alert-info>td{background-color:#29abe0}.alert-danger,.alert-danger>th,.alert-danger>td{background-color:#d9534f}.alert-warning,.alert-warning>th,.alert-warning>td{background-color:#f47c3c}.alert-dark,.alert-dark>th,.alert-dark>td{background-color:#3e3f3a}.alert-light,.alert-light>th,.alert-light>td{background-color:#f8f5f0}.alert-light,.alert-light a:not(.btn),.alert-light .alert-link{color:#3e3f3a}.badge.bg-light{color:#3e3f3a}.modal .btn-close,.toast .btn-close{background-image:url("data:image/svg+xml,")}/*# sourceMappingURL=d6b77e37a12f878a50f9f8a85e535bdc.css.map */ +*/.ansi-black-fg{color:#3e424d}.ansi-black-bg{background-color:#3e424d}.ansi-black-intense-fg{color:#282c36}.ansi-black-intense-bg{background-color:#282c36}.ansi-red-fg{color:#e75c58}.ansi-red-bg{background-color:#e75c58}.ansi-red-intense-fg{color:#b22b31}.ansi-red-intense-bg{background-color:#b22b31}.ansi-green-fg{color:#00a250}.ansi-green-bg{background-color:#00a250}.ansi-green-intense-fg{color:#007427}.ansi-green-intense-bg{background-color:#007427}.ansi-yellow-fg{color:#ddb62b}.ansi-yellow-bg{background-color:#ddb62b}.ansi-yellow-intense-fg{color:#b27d12}.ansi-yellow-intense-bg{background-color:#b27d12}.ansi-blue-fg{color:#208ffb}.ansi-blue-bg{background-color:#208ffb}.ansi-blue-intense-fg{color:#0065ca}.ansi-blue-intense-bg{background-color:#0065ca}.ansi-magenta-fg{color:#d160c4}.ansi-magenta-bg{background-color:#d160c4}.ansi-magenta-intense-fg{color:#a03196}.ansi-magenta-intense-bg{background-color:#a03196}.ansi-cyan-fg{color:#60c6c8}.ansi-cyan-bg{background-color:#60c6c8}.ansi-cyan-intense-fg{color:#258f8f}.ansi-cyan-intense-bg{background-color:#258f8f}.ansi-white-fg{color:#c5c1b4}.ansi-white-bg{background-color:#c5c1b4}.ansi-white-intense-fg{color:#a1a6b2}.ansi-white-intense-bg{background-color:#a1a6b2}.ansi-default-inverse-fg{color:#fff}.ansi-default-inverse-bg{background-color:#000}.ansi-bold{font-weight:bold}.ansi-underline{text-decoration:underline}:root{--quarto-body-bg: #fff;--quarto-body-color: #3e3f3a;--quarto-text-muted: #6c757d;--quarto-border-color: #dee2e6;--quarto-border-width: 1px;--quarto-border-radius: 0.25rem}table.gt_table{color:var(--quarto-body-color);font-size:1em;width:100%;background-color:rgba(0,0,0,0);border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_column_spanner_outer{color:var(--quarto-body-color);background-color:rgba(0,0,0,0);border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_col_heading{color:var(--quarto-body-color);font-weight:bold;background-color:rgba(0,0,0,0)}table.gt_table thead.gt_col_headings{border-bottom:1px solid currentColor;border-top-width:inherit;border-top-color:var(--quarto-border-color)}table.gt_table thead.gt_col_headings:not(:first-child){border-top-width:1px;border-top-color:var(--quarto-border-color)}table.gt_table td.gt_row{border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-width:0px}table.gt_table tbody.gt_table_body{border-top-width:1px;border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-color:currentColor}div.columns{display:initial;gap:initial}div.column{display:inline-block;overflow-x:initial;vertical-align:top;width:50%}.code-annotation-tip-content{word-wrap:break-word}.code-annotation-container-hidden{display:none !important}dl.code-annotation-container-grid{display:grid;grid-template-columns:min-content auto}dl.code-annotation-container-grid dt{grid-column:1}dl.code-annotation-container-grid dd{grid-column:2}pre.sourceCode.code-annotation-code{padding-right:0}code.sourceCode .code-annotation-anchor{z-index:100;position:absolute;right:.5em;left:inherit;background-color:rgba(0,0,0,0)}:root{--mermaid-bg-color: #fff;--mermaid-edge-color: #6c757d;--mermaid-node-fg-color: #3e3f3a;--mermaid-fg-color: #3e3f3a;--mermaid-fg-color--lighter: #585a52;--mermaid-fg-color--lightest: #72746b;--mermaid-font-family: Roboto, -apple-system, BlinkMacSystemFont, Segoe UI, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol;--mermaid-label-bg-color: #fff;--mermaid-label-fg-color: #325d88;--mermaid-node-bg-color: rgba(50, 93, 136, 0.1);--mermaid-node-fg-color: #3e3f3a}@media print{:root{font-size:11pt}#quarto-sidebar,#TOC,.nav-page{display:none}.page-columns .content{grid-column-start:page-start}.fixed-top{position:relative}.panel-caption,.figure-caption,figcaption{color:#666}}.code-copy-button{position:absolute;top:0;right:0;border:0;margin-top:5px;margin-right:5px;background-color:rgba(0,0,0,0);z-index:3}.code-copy-button:focus{outline:none}.code-copy-button-tooltip{font-size:.75em}pre.sourceCode:hover>.code-copy-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:1rem 1rem}pre.sourceCode:hover>.code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,')}pre.sourceCode:hover>.code-copy-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}pre.sourceCode:hover>.code-copy-button-checked:hover>.bi::before{background-image:url('data:image/svg+xml,')}main ol ol,main ul ul,main ol ul,main ul ol{margin-bottom:1em}ul>li:not(:has(>p))>ul,ol>li:not(:has(>p))>ul,ul>li:not(:has(>p))>ol,ol>li:not(:has(>p))>ol{margin-bottom:0}ul>li:not(:has(>p))>ul>li:has(>p),ol>li:not(:has(>p))>ul>li:has(>p),ul>li:not(:has(>p))>ol>li:has(>p),ol>li:not(:has(>p))>ol>li:has(>p){margin-top:1rem}body{margin:0}main.page-columns>header>h1.title,main.page-columns>header>.title.h1{margin-bottom:0}@media(min-width: 992px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] 35px [page-end-inset page-end] 5fr [screen-end-inset] 1.5em}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 850px - 3em )) [body-content-end] 3em [body-end] 50px [body-end-outset] minmax(0px, 250px) [page-end-inset] minmax(50px, 100px) [page-end] 1fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(50px, 100px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(50px, 150px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 991.98px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc( 1250px - 3em )) [body-content-end body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1.5em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 800px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 4fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 4fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc( 750px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 4fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 767.98px){body .page-columns,body.fullcontent:not(.floating):not(.docked) .page-columns,body.slimcontent:not(.floating):not(.docked) .page-columns,body.docked .page-columns,body.docked.slimcontent .page-columns,body.docked.fullcontent .page-columns,body.floating .page-columns,body.floating.slimcontent .page-columns,body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}nav[role=doc-toc]{display:none}}body,.page-row-navigation{grid-template-rows:[page-top] max-content [contents-top] max-content [contents-bottom] max-content [page-bottom]}.page-rows-contents{grid-template-rows:[content-top] minmax(max-content, 1fr) [content-bottom] minmax(60px, max-content) [page-bottom]}.page-full{grid-column:screen-start/screen-end !important}.page-columns>*{grid-column:body-content-start/body-content-end}.page-columns.column-page>*{grid-column:page-start/page-end}.page-columns.column-page-left>*{grid-column:page-start/body-content-end}.page-columns.column-page-right>*{grid-column:body-content-start/page-end}.page-rows{grid-auto-rows:auto}.header{grid-column:screen-start/screen-end;grid-row:page-top/contents-top}#quarto-content{padding:0;grid-column:screen-start/screen-end;grid-row:contents-top/contents-bottom}body.floating .sidebar.sidebar-navigation{grid-column:page-start/body-start;grid-row:content-top/page-bottom}body.docked .sidebar.sidebar-navigation{grid-column:screen-start/body-start;grid-row:content-top/page-bottom}.sidebar.toc-left{grid-column:page-start/body-start;grid-row:content-top/page-bottom}.sidebar.margin-sidebar{grid-column:body-end/page-end;grid-row:content-top/page-bottom}.page-columns .content{grid-column:body-content-start/body-content-end;grid-row:content-top/content-bottom;align-content:flex-start}.page-columns .page-navigation{grid-column:body-content-start/body-content-end;grid-row:content-bottom/page-bottom}.page-columns .footer{grid-column:screen-start/screen-end;grid-row:contents-bottom/page-bottom}.page-columns .column-body{grid-column:body-content-start/body-content-end}.page-columns .column-body-fullbleed{grid-column:body-start/body-end}.page-columns .column-body-outset{grid-column:body-start-outset/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset table{background:#fff}.page-columns .column-body-outset-left{grid-column:body-start-outset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-left table{background:#fff}.page-columns .column-body-outset-right{grid-column:body-content-start/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-right table{background:#fff}.page-columns .column-page{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page table{background:#fff}.page-columns .column-page-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset table{background:#fff}.page-columns .column-page-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-left table{background:#fff}.page-columns .column-page-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-right figcaption table{background:#fff}.page-columns .column-page-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-left table{background:#fff}.page-columns .column-page-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-right figcaption table{background:#fff}#quarto-content.page-columns #quarto-margin-sidebar,#quarto-content.page-columns #quarto-sidebar{z-index:1}@media(max-width: 991.98px){#quarto-content.page-columns #quarto-margin-sidebar.collapse,#quarto-content.page-columns #quarto-sidebar.collapse,#quarto-content.page-columns #quarto-margin-sidebar.collapsing,#quarto-content.page-columns #quarto-sidebar.collapsing{z-index:1055}}#quarto-content.page-columns main.column-page,#quarto-content.page-columns main.column-page-right,#quarto-content.page-columns main.column-page-left{z-index:0}.page-columns .column-screen-inset{grid-column:screen-start-inset/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#fff}.page-columns .column-screen-inset-left{grid-column:screen-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#fff}.page-columns .column-screen-inset-right{grid-column:body-content-start/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#fff}.page-columns .column-screen{grid-column:screen-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#fff}.page-columns .column-screen-left{grid-column:screen-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#fff}.page-columns .column-screen-right{grid-column:body-content-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#fff}.page-columns .column-screen-inset-shaded{grid-column:screen-start/screen-end;padding:1em;background:#f8f5f0;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}.zindex-content{z-index:998;transform:translate3d(0, 0, 0)}.zindex-modal{z-index:1055;transform:translate3d(0, 0, 0)}.zindex-over-content{z-index:999;transform:translate3d(0, 0, 0)}img.img-fluid.column-screen,img.img-fluid.column-screen-inset-shaded,img.img-fluid.column-screen-inset,img.img-fluid.column-screen-inset-left,img.img-fluid.column-screen-inset-right,img.img-fluid.column-screen-left,img.img-fluid.column-screen-right{width:100%}@media(min-width: 992px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.column-sidebar{grid-column:page-start/body-start !important;z-index:998}.column-leftmargin{grid-column:screen-start-inset/body-start !important;z-index:998}.no-row-height{height:1em;overflow:visible}}@media(max-width: 991.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.no-row-height{height:1em;overflow:visible}.page-columns.page-full{overflow:visible}.page-columns.toc-left .margin-caption,.page-columns.toc-left div.aside,.page-columns.toc-left aside,.page-columns.toc-left .column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.page-columns.toc-left .no-row-height{height:initial;overflow:initial}}@media(max-width: 767.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.no-row-height{height:initial;overflow:initial}#quarto-margin-sidebar{display:none}#quarto-sidebar-toc-left{display:none}.hidden-sm{display:none}}.panel-grid{display:grid;grid-template-rows:repeat(1, 1fr);grid-template-columns:repeat(24, 1fr);gap:1em}.panel-grid .g-col-1{grid-column:auto/span 1}.panel-grid .g-col-2{grid-column:auto/span 2}.panel-grid .g-col-3{grid-column:auto/span 3}.panel-grid .g-col-4{grid-column:auto/span 4}.panel-grid .g-col-5{grid-column:auto/span 5}.panel-grid .g-col-6{grid-column:auto/span 6}.panel-grid .g-col-7{grid-column:auto/span 7}.panel-grid .g-col-8{grid-column:auto/span 8}.panel-grid .g-col-9{grid-column:auto/span 9}.panel-grid .g-col-10{grid-column:auto/span 10}.panel-grid .g-col-11{grid-column:auto/span 11}.panel-grid .g-col-12{grid-column:auto/span 12}.panel-grid .g-col-13{grid-column:auto/span 13}.panel-grid .g-col-14{grid-column:auto/span 14}.panel-grid .g-col-15{grid-column:auto/span 15}.panel-grid .g-col-16{grid-column:auto/span 16}.panel-grid .g-col-17{grid-column:auto/span 17}.panel-grid .g-col-18{grid-column:auto/span 18}.panel-grid .g-col-19{grid-column:auto/span 19}.panel-grid .g-col-20{grid-column:auto/span 20}.panel-grid .g-col-21{grid-column:auto/span 21}.panel-grid .g-col-22{grid-column:auto/span 22}.panel-grid .g-col-23{grid-column:auto/span 23}.panel-grid .g-col-24{grid-column:auto/span 24}.panel-grid .g-start-1{grid-column-start:1}.panel-grid .g-start-2{grid-column-start:2}.panel-grid .g-start-3{grid-column-start:3}.panel-grid .g-start-4{grid-column-start:4}.panel-grid .g-start-5{grid-column-start:5}.panel-grid .g-start-6{grid-column-start:6}.panel-grid .g-start-7{grid-column-start:7}.panel-grid .g-start-8{grid-column-start:8}.panel-grid .g-start-9{grid-column-start:9}.panel-grid .g-start-10{grid-column-start:10}.panel-grid .g-start-11{grid-column-start:11}.panel-grid .g-start-12{grid-column-start:12}.panel-grid .g-start-13{grid-column-start:13}.panel-grid .g-start-14{grid-column-start:14}.panel-grid .g-start-15{grid-column-start:15}.panel-grid .g-start-16{grid-column-start:16}.panel-grid .g-start-17{grid-column-start:17}.panel-grid .g-start-18{grid-column-start:18}.panel-grid .g-start-19{grid-column-start:19}.panel-grid .g-start-20{grid-column-start:20}.panel-grid .g-start-21{grid-column-start:21}.panel-grid .g-start-22{grid-column-start:22}.panel-grid .g-start-23{grid-column-start:23}@media(min-width: 576px){.panel-grid .g-col-sm-1{grid-column:auto/span 1}.panel-grid .g-col-sm-2{grid-column:auto/span 2}.panel-grid .g-col-sm-3{grid-column:auto/span 3}.panel-grid .g-col-sm-4{grid-column:auto/span 4}.panel-grid .g-col-sm-5{grid-column:auto/span 5}.panel-grid .g-col-sm-6{grid-column:auto/span 6}.panel-grid .g-col-sm-7{grid-column:auto/span 7}.panel-grid .g-col-sm-8{grid-column:auto/span 8}.panel-grid .g-col-sm-9{grid-column:auto/span 9}.panel-grid .g-col-sm-10{grid-column:auto/span 10}.panel-grid .g-col-sm-11{grid-column:auto/span 11}.panel-grid .g-col-sm-12{grid-column:auto/span 12}.panel-grid .g-col-sm-13{grid-column:auto/span 13}.panel-grid .g-col-sm-14{grid-column:auto/span 14}.panel-grid .g-col-sm-15{grid-column:auto/span 15}.panel-grid .g-col-sm-16{grid-column:auto/span 16}.panel-grid .g-col-sm-17{grid-column:auto/span 17}.panel-grid .g-col-sm-18{grid-column:auto/span 18}.panel-grid .g-col-sm-19{grid-column:auto/span 19}.panel-grid .g-col-sm-20{grid-column:auto/span 20}.panel-grid .g-col-sm-21{grid-column:auto/span 21}.panel-grid .g-col-sm-22{grid-column:auto/span 22}.panel-grid .g-col-sm-23{grid-column:auto/span 23}.panel-grid .g-col-sm-24{grid-column:auto/span 24}.panel-grid .g-start-sm-1{grid-column-start:1}.panel-grid .g-start-sm-2{grid-column-start:2}.panel-grid .g-start-sm-3{grid-column-start:3}.panel-grid .g-start-sm-4{grid-column-start:4}.panel-grid .g-start-sm-5{grid-column-start:5}.panel-grid .g-start-sm-6{grid-column-start:6}.panel-grid .g-start-sm-7{grid-column-start:7}.panel-grid .g-start-sm-8{grid-column-start:8}.panel-grid .g-start-sm-9{grid-column-start:9}.panel-grid .g-start-sm-10{grid-column-start:10}.panel-grid .g-start-sm-11{grid-column-start:11}.panel-grid .g-start-sm-12{grid-column-start:12}.panel-grid .g-start-sm-13{grid-column-start:13}.panel-grid .g-start-sm-14{grid-column-start:14}.panel-grid .g-start-sm-15{grid-column-start:15}.panel-grid .g-start-sm-16{grid-column-start:16}.panel-grid .g-start-sm-17{grid-column-start:17}.panel-grid .g-start-sm-18{grid-column-start:18}.panel-grid .g-start-sm-19{grid-column-start:19}.panel-grid .g-start-sm-20{grid-column-start:20}.panel-grid .g-start-sm-21{grid-column-start:21}.panel-grid .g-start-sm-22{grid-column-start:22}.panel-grid .g-start-sm-23{grid-column-start:23}}@media(min-width: 768px){.panel-grid .g-col-md-1{grid-column:auto/span 1}.panel-grid .g-col-md-2{grid-column:auto/span 2}.panel-grid .g-col-md-3{grid-column:auto/span 3}.panel-grid .g-col-md-4{grid-column:auto/span 4}.panel-grid .g-col-md-5{grid-column:auto/span 5}.panel-grid .g-col-md-6{grid-column:auto/span 6}.panel-grid .g-col-md-7{grid-column:auto/span 7}.panel-grid .g-col-md-8{grid-column:auto/span 8}.panel-grid .g-col-md-9{grid-column:auto/span 9}.panel-grid .g-col-md-10{grid-column:auto/span 10}.panel-grid .g-col-md-11{grid-column:auto/span 11}.panel-grid .g-col-md-12{grid-column:auto/span 12}.panel-grid .g-col-md-13{grid-column:auto/span 13}.panel-grid .g-col-md-14{grid-column:auto/span 14}.panel-grid .g-col-md-15{grid-column:auto/span 15}.panel-grid .g-col-md-16{grid-column:auto/span 16}.panel-grid .g-col-md-17{grid-column:auto/span 17}.panel-grid .g-col-md-18{grid-column:auto/span 18}.panel-grid .g-col-md-19{grid-column:auto/span 19}.panel-grid .g-col-md-20{grid-column:auto/span 20}.panel-grid .g-col-md-21{grid-column:auto/span 21}.panel-grid .g-col-md-22{grid-column:auto/span 22}.panel-grid .g-col-md-23{grid-column:auto/span 23}.panel-grid .g-col-md-24{grid-column:auto/span 24}.panel-grid .g-start-md-1{grid-column-start:1}.panel-grid .g-start-md-2{grid-column-start:2}.panel-grid .g-start-md-3{grid-column-start:3}.panel-grid .g-start-md-4{grid-column-start:4}.panel-grid .g-start-md-5{grid-column-start:5}.panel-grid .g-start-md-6{grid-column-start:6}.panel-grid .g-start-md-7{grid-column-start:7}.panel-grid .g-start-md-8{grid-column-start:8}.panel-grid .g-start-md-9{grid-column-start:9}.panel-grid .g-start-md-10{grid-column-start:10}.panel-grid .g-start-md-11{grid-column-start:11}.panel-grid .g-start-md-12{grid-column-start:12}.panel-grid .g-start-md-13{grid-column-start:13}.panel-grid .g-start-md-14{grid-column-start:14}.panel-grid .g-start-md-15{grid-column-start:15}.panel-grid .g-start-md-16{grid-column-start:16}.panel-grid .g-start-md-17{grid-column-start:17}.panel-grid .g-start-md-18{grid-column-start:18}.panel-grid .g-start-md-19{grid-column-start:19}.panel-grid .g-start-md-20{grid-column-start:20}.panel-grid .g-start-md-21{grid-column-start:21}.panel-grid .g-start-md-22{grid-column-start:22}.panel-grid .g-start-md-23{grid-column-start:23}}@media(min-width: 992px){.panel-grid .g-col-lg-1{grid-column:auto/span 1}.panel-grid .g-col-lg-2{grid-column:auto/span 2}.panel-grid .g-col-lg-3{grid-column:auto/span 3}.panel-grid .g-col-lg-4{grid-column:auto/span 4}.panel-grid .g-col-lg-5{grid-column:auto/span 5}.panel-grid .g-col-lg-6{grid-column:auto/span 6}.panel-grid .g-col-lg-7{grid-column:auto/span 7}.panel-grid .g-col-lg-8{grid-column:auto/span 8}.panel-grid .g-col-lg-9{grid-column:auto/span 9}.panel-grid .g-col-lg-10{grid-column:auto/span 10}.panel-grid .g-col-lg-11{grid-column:auto/span 11}.panel-grid .g-col-lg-12{grid-column:auto/span 12}.panel-grid .g-col-lg-13{grid-column:auto/span 13}.panel-grid .g-col-lg-14{grid-column:auto/span 14}.panel-grid .g-col-lg-15{grid-column:auto/span 15}.panel-grid .g-col-lg-16{grid-column:auto/span 16}.panel-grid .g-col-lg-17{grid-column:auto/span 17}.panel-grid .g-col-lg-18{grid-column:auto/span 18}.panel-grid .g-col-lg-19{grid-column:auto/span 19}.panel-grid .g-col-lg-20{grid-column:auto/span 20}.panel-grid .g-col-lg-21{grid-column:auto/span 21}.panel-grid .g-col-lg-22{grid-column:auto/span 22}.panel-grid .g-col-lg-23{grid-column:auto/span 23}.panel-grid .g-col-lg-24{grid-column:auto/span 24}.panel-grid .g-start-lg-1{grid-column-start:1}.panel-grid .g-start-lg-2{grid-column-start:2}.panel-grid .g-start-lg-3{grid-column-start:3}.panel-grid .g-start-lg-4{grid-column-start:4}.panel-grid .g-start-lg-5{grid-column-start:5}.panel-grid .g-start-lg-6{grid-column-start:6}.panel-grid .g-start-lg-7{grid-column-start:7}.panel-grid .g-start-lg-8{grid-column-start:8}.panel-grid .g-start-lg-9{grid-column-start:9}.panel-grid .g-start-lg-10{grid-column-start:10}.panel-grid .g-start-lg-11{grid-column-start:11}.panel-grid .g-start-lg-12{grid-column-start:12}.panel-grid .g-start-lg-13{grid-column-start:13}.panel-grid .g-start-lg-14{grid-column-start:14}.panel-grid .g-start-lg-15{grid-column-start:15}.panel-grid .g-start-lg-16{grid-column-start:16}.panel-grid .g-start-lg-17{grid-column-start:17}.panel-grid .g-start-lg-18{grid-column-start:18}.panel-grid .g-start-lg-19{grid-column-start:19}.panel-grid .g-start-lg-20{grid-column-start:20}.panel-grid .g-start-lg-21{grid-column-start:21}.panel-grid .g-start-lg-22{grid-column-start:22}.panel-grid .g-start-lg-23{grid-column-start:23}}@media(min-width: 1200px){.panel-grid .g-col-xl-1{grid-column:auto/span 1}.panel-grid .g-col-xl-2{grid-column:auto/span 2}.panel-grid .g-col-xl-3{grid-column:auto/span 3}.panel-grid .g-col-xl-4{grid-column:auto/span 4}.panel-grid .g-col-xl-5{grid-column:auto/span 5}.panel-grid .g-col-xl-6{grid-column:auto/span 6}.panel-grid .g-col-xl-7{grid-column:auto/span 7}.panel-grid .g-col-xl-8{grid-column:auto/span 8}.panel-grid .g-col-xl-9{grid-column:auto/span 9}.panel-grid .g-col-xl-10{grid-column:auto/span 10}.panel-grid .g-col-xl-11{grid-column:auto/span 11}.panel-grid .g-col-xl-12{grid-column:auto/span 12}.panel-grid .g-col-xl-13{grid-column:auto/span 13}.panel-grid .g-col-xl-14{grid-column:auto/span 14}.panel-grid .g-col-xl-15{grid-column:auto/span 15}.panel-grid .g-col-xl-16{grid-column:auto/span 16}.panel-grid .g-col-xl-17{grid-column:auto/span 17}.panel-grid .g-col-xl-18{grid-column:auto/span 18}.panel-grid .g-col-xl-19{grid-column:auto/span 19}.panel-grid .g-col-xl-20{grid-column:auto/span 20}.panel-grid .g-col-xl-21{grid-column:auto/span 21}.panel-grid .g-col-xl-22{grid-column:auto/span 22}.panel-grid .g-col-xl-23{grid-column:auto/span 23}.panel-grid .g-col-xl-24{grid-column:auto/span 24}.panel-grid .g-start-xl-1{grid-column-start:1}.panel-grid .g-start-xl-2{grid-column-start:2}.panel-grid .g-start-xl-3{grid-column-start:3}.panel-grid .g-start-xl-4{grid-column-start:4}.panel-grid .g-start-xl-5{grid-column-start:5}.panel-grid .g-start-xl-6{grid-column-start:6}.panel-grid .g-start-xl-7{grid-column-start:7}.panel-grid .g-start-xl-8{grid-column-start:8}.panel-grid .g-start-xl-9{grid-column-start:9}.panel-grid .g-start-xl-10{grid-column-start:10}.panel-grid .g-start-xl-11{grid-column-start:11}.panel-grid .g-start-xl-12{grid-column-start:12}.panel-grid .g-start-xl-13{grid-column-start:13}.panel-grid .g-start-xl-14{grid-column-start:14}.panel-grid .g-start-xl-15{grid-column-start:15}.panel-grid .g-start-xl-16{grid-column-start:16}.panel-grid .g-start-xl-17{grid-column-start:17}.panel-grid .g-start-xl-18{grid-column-start:18}.panel-grid .g-start-xl-19{grid-column-start:19}.panel-grid .g-start-xl-20{grid-column-start:20}.panel-grid .g-start-xl-21{grid-column-start:21}.panel-grid .g-start-xl-22{grid-column-start:22}.panel-grid .g-start-xl-23{grid-column-start:23}}@media(min-width: 1400px){.panel-grid .g-col-xxl-1{grid-column:auto/span 1}.panel-grid .g-col-xxl-2{grid-column:auto/span 2}.panel-grid .g-col-xxl-3{grid-column:auto/span 3}.panel-grid .g-col-xxl-4{grid-column:auto/span 4}.panel-grid .g-col-xxl-5{grid-column:auto/span 5}.panel-grid .g-col-xxl-6{grid-column:auto/span 6}.panel-grid .g-col-xxl-7{grid-column:auto/span 7}.panel-grid .g-col-xxl-8{grid-column:auto/span 8}.panel-grid .g-col-xxl-9{grid-column:auto/span 9}.panel-grid .g-col-xxl-10{grid-column:auto/span 10}.panel-grid .g-col-xxl-11{grid-column:auto/span 11}.panel-grid .g-col-xxl-12{grid-column:auto/span 12}.panel-grid .g-col-xxl-13{grid-column:auto/span 13}.panel-grid .g-col-xxl-14{grid-column:auto/span 14}.panel-grid .g-col-xxl-15{grid-column:auto/span 15}.panel-grid .g-col-xxl-16{grid-column:auto/span 16}.panel-grid .g-col-xxl-17{grid-column:auto/span 17}.panel-grid .g-col-xxl-18{grid-column:auto/span 18}.panel-grid .g-col-xxl-19{grid-column:auto/span 19}.panel-grid .g-col-xxl-20{grid-column:auto/span 20}.panel-grid .g-col-xxl-21{grid-column:auto/span 21}.panel-grid .g-col-xxl-22{grid-column:auto/span 22}.panel-grid .g-col-xxl-23{grid-column:auto/span 23}.panel-grid .g-col-xxl-24{grid-column:auto/span 24}.panel-grid .g-start-xxl-1{grid-column-start:1}.panel-grid .g-start-xxl-2{grid-column-start:2}.panel-grid .g-start-xxl-3{grid-column-start:3}.panel-grid .g-start-xxl-4{grid-column-start:4}.panel-grid .g-start-xxl-5{grid-column-start:5}.panel-grid .g-start-xxl-6{grid-column-start:6}.panel-grid .g-start-xxl-7{grid-column-start:7}.panel-grid .g-start-xxl-8{grid-column-start:8}.panel-grid .g-start-xxl-9{grid-column-start:9}.panel-grid .g-start-xxl-10{grid-column-start:10}.panel-grid .g-start-xxl-11{grid-column-start:11}.panel-grid .g-start-xxl-12{grid-column-start:12}.panel-grid .g-start-xxl-13{grid-column-start:13}.panel-grid .g-start-xxl-14{grid-column-start:14}.panel-grid .g-start-xxl-15{grid-column-start:15}.panel-grid .g-start-xxl-16{grid-column-start:16}.panel-grid .g-start-xxl-17{grid-column-start:17}.panel-grid .g-start-xxl-18{grid-column-start:18}.panel-grid .g-start-xxl-19{grid-column-start:19}.panel-grid .g-start-xxl-20{grid-column-start:20}.panel-grid .g-start-xxl-21{grid-column-start:21}.panel-grid .g-start-xxl-22{grid-column-start:22}.panel-grid .g-start-xxl-23{grid-column-start:23}}main{margin-top:1em;margin-bottom:1em}h1,.h1,h2,.h2{opacity:.9;margin-top:2rem;margin-bottom:1rem;font-weight:600}h1.title,.title.h1{margin-top:0}h2,.h2{border-bottom:1px solid #dee2e6;padding-bottom:.5rem}h3,.h3{font-weight:600}h3,.h3,h4,.h4{opacity:.9;margin-top:1.5rem}h5,.h5,h6,.h6{opacity:.9}.header-section-number{color:#7f8177}.nav-link.active .header-section-number{color:inherit}mark,.mark{padding:0em}.panel-caption,caption,.figure-caption{font-size:.9rem}.panel-caption,.figure-caption,figcaption{color:#7f8177}.table-caption,caption{color:#3e3f3a}.quarto-layout-cell[data-ref-parent] caption{color:#7f8177}.column-margin figcaption,.margin-caption,div.aside,aside,.column-margin{color:#7f8177;font-size:.825rem}.panel-caption.margin-caption{text-align:inherit}.column-margin.column-container p{margin-bottom:0}.column-margin.column-container>*:not(.collapse){padding-top:.5em;padding-bottom:.5em;display:block}.column-margin.column-container>*.collapse:not(.show){display:none}@media(min-width: 768px){.column-margin.column-container .callout-margin-content:first-child{margin-top:4.5em}.column-margin.column-container .callout-margin-content-simple:first-child{margin-top:3.5em}}.margin-caption>*{padding-top:.5em;padding-bottom:.5em}@media(max-width: 767.98px){.quarto-layout-row{flex-direction:column}}.nav-tabs .nav-item{margin-top:1px;cursor:pointer}.tab-content{margin-top:0px;border-left:#dee2e6 1px solid;border-right:#dee2e6 1px solid;border-bottom:#dee2e6 1px solid;margin-left:0;padding:1em;margin-bottom:1em}@media(max-width: 767.98px){.layout-sidebar{margin-left:0;margin-right:0}}.panel-sidebar,.panel-sidebar .form-control,.panel-input,.panel-input .form-control,.selectize-dropdown{font-size:.9rem}.panel-sidebar .form-control,.panel-input .form-control{padding-top:.1rem}.tab-pane div.sourceCode{margin-top:0px}.tab-pane>p{padding-top:1em}.tab-content>.tab-pane:not(.active){display:none !important}div.sourceCode{background-color:#f8f5f0;border:1px solid #f8f5f0;border-radius:.25rem}pre.sourceCode{background-color:rgba(0,0,0,0)}pre.sourceCode{border:none;font-size:.875em;overflow:visible !important;padding:.4em}.callout pre.sourceCode{padding-left:0}div.sourceCode{overflow-y:hidden}.callout div.sourceCode{margin-left:initial}.blockquote{font-size:inherit;padding-left:1rem;padding-right:1.5rem;color:#7f8177}.blockquote h1:first-child,.blockquote .h1:first-child,.blockquote h2:first-child,.blockquote .h2:first-child,.blockquote h3:first-child,.blockquote .h3:first-child,.blockquote h4:first-child,.blockquote .h4:first-child,.blockquote h5:first-child,.blockquote .h5:first-child{margin-top:0}pre{background-color:initial;padding:initial;border:initial}p code:not(.sourceCode),li code:not(.sourceCode),td code:not(.sourceCode){background-color:#f8f5f0;padding:.2em}nav p code:not(.sourceCode),nav li code:not(.sourceCode),nav td code:not(.sourceCode){background-color:rgba(0,0,0,0);padding:0}td code:not(.sourceCode){white-space:pre-wrap}#quarto-embedded-source-code-modal>.modal-dialog{max-width:1000px;padding-left:1.75rem;padding-right:1.75rem}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body{padding:0}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body div.sourceCode{margin:0;padding:.2rem .2rem;border-radius:0px;border:none}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-header{padding:.7rem}.code-tools-button{font-size:1rem;padding:.15rem .15rem;margin-left:5px;color:#6c757d;background-color:rgba(0,0,0,0);transition:initial;cursor:pointer}.code-tools-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:1rem 1rem}.code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}#quarto-embedded-source-code-modal .code-copy-button>.bi::before{background-image:url('data:image/svg+xml,')}#quarto-embedded-source-code-modal .code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,')}.sidebar{will-change:top;transition:top 200ms linear;position:sticky;overflow-y:auto;padding-top:1.2em;max-height:100vh}.sidebar.toc-left,.sidebar.margin-sidebar{top:0px;padding-top:1em}.sidebar.toc-left>*,.sidebar.margin-sidebar>*{padding-top:.5em}.sidebar.quarto-banner-title-block-sidebar>*{padding-top:1.65em}figure .quarto-notebook-link{margin-top:.5em}.quarto-notebook-link{font-size:.75em;color:#6c757d;margin-bottom:1em;text-decoration:none;display:block}.quarto-notebook-link:hover{text-decoration:underline;color:#93c54b}.quarto-notebook-link::before{display:inline-block;height:.75rem;width:.75rem;margin-bottom:0em;margin-right:.25em;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:.75rem .75rem}.quarto-alternate-notebooks i.bi,.quarto-alternate-formats i.bi{margin-right:.4em}.quarto-notebook .cell-container{display:flex}.quarto-notebook .cell-container .cell{flex-grow:4}.quarto-notebook .cell-container .cell-decorator{padding-top:1.5em;padding-right:1em;text-align:right}.quarto-notebook h2,.quarto-notebook .h2{border-bottom:none}.sidebar .quarto-alternate-formats a,.sidebar .quarto-alternate-notebooks a{text-decoration:none}.sidebar .quarto-alternate-formats a:hover,.sidebar .quarto-alternate-notebooks a:hover{color:#93c54b}.sidebar .quarto-alternate-notebooks h2,.sidebar .quarto-alternate-notebooks .h2,.sidebar .quarto-alternate-formats h2,.sidebar .quarto-alternate-formats .h2,.sidebar nav[role=doc-toc]>h2,.sidebar nav[role=doc-toc]>.h2{font-size:.875rem;font-weight:400;margin-bottom:.5rem;margin-top:.3rem;font-family:inherit;border-bottom:0;padding-bottom:0;padding-top:0px}.sidebar .quarto-alternate-notebooks h2,.sidebar .quarto-alternate-notebooks .h2,.sidebar .quarto-alternate-formats h2,.sidebar .quarto-alternate-formats .h2{margin-top:1rem}.sidebar nav[role=doc-toc]>ul a{border-left:1px solid #f8f5f0;padding-left:.6rem}.sidebar .quarto-alternate-notebooks h2>ul a,.sidebar .quarto-alternate-notebooks .h2>ul a,.sidebar .quarto-alternate-formats h2>ul a,.sidebar .quarto-alternate-formats .h2>ul a{border-left:none;padding-left:.6rem}.sidebar .quarto-alternate-notebooks ul a:empty,.sidebar .quarto-alternate-formats ul a:empty,.sidebar nav[role=doc-toc]>ul a:empty{display:none}.sidebar .quarto-alternate-notebooks ul,.sidebar .quarto-alternate-formats ul,.sidebar nav[role=doc-toc] ul{padding-left:0;list-style:none;font-size:.875rem;font-weight:300}.sidebar .quarto-alternate-notebooks ul li a,.sidebar .quarto-alternate-formats ul li a,.sidebar nav[role=doc-toc]>ul li a{line-height:1.1rem;padding-bottom:.2rem;padding-top:.2rem;color:inherit}.sidebar nav[role=doc-toc] ul>li>ul>li>a{padding-left:1.2em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>a{padding-left:2.4em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>a{padding-left:3.6em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:4.8em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:6em}.sidebar nav[role=doc-toc] ul>li>a.active,.sidebar nav[role=doc-toc] ul>li>ul>li>a.active{border-left:1px solid #93c54b;color:#93c54b !important}.sidebar nav[role=doc-toc] ul>li>a:hover,.sidebar nav[role=doc-toc] ul>li>ul>li>a:hover{color:#93c54b !important}kbd,.kbd{color:#3e3f3a;background-color:#f8f9fa;border:1px solid;border-radius:5px;border-color:#dee2e6}div.hanging-indent{margin-left:1em;text-indent:-1em}.citation a,.footnote-ref{text-decoration:none}.footnotes ol{padding-left:1em}.tippy-content>*{margin-bottom:.7em}.tippy-content>*:last-child{margin-bottom:0}.table a{word-break:break-word}.table>thead{border-top-width:1px;border-top-color:#dee2e6;border-bottom:1px solid #bebfb9}.callout{margin-top:1.25rem;margin-bottom:1.25rem;border-radius:.25rem;overflow-wrap:break-word}.callout .callout-title-container{overflow-wrap:anywhere}.callout.callout-style-simple{padding:.4em .7em;border-left:5px solid;border-right:1px solid #dee2e6;border-top:1px solid #dee2e6;border-bottom:1px solid #dee2e6}.callout.callout-style-default{border-left:5px solid;border-right:1px solid #dee2e6;border-top:1px solid #dee2e6;border-bottom:1px solid #dee2e6}.callout .callout-body-container{flex-grow:1}.callout.callout-style-simple .callout-body{font-size:.9rem;font-weight:400}.callout.callout-style-default .callout-body{font-size:.9rem;font-weight:400}.callout.callout-titled .callout-body{margin-top:.2em}.callout:not(.no-icon).callout-titled.callout-style-simple .callout-body{padding-left:1.6em}.callout.callout-titled>.callout-header{padding-top:.2em;margin-bottom:-0.2em}.callout.callout-style-simple>div.callout-header{border-bottom:none;font-size:.9rem;font-weight:600;opacity:75%}.callout.callout-style-default>div.callout-header{border-bottom:none;font-weight:600;opacity:85%;font-size:.9rem;padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body{padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body>:first-child{margin-top:.5em}.callout>div.callout-header[data-bs-toggle=collapse]{cursor:pointer}.callout.callout-style-default .callout-header[aria-expanded=false],.callout.callout-style-default .callout-header[aria-expanded=true]{padding-top:0px;margin-bottom:0px;align-items:center}.callout.callout-titled .callout-body>:last-child:not(.sourceCode),.callout.callout-titled .callout-body>div>:last-child:not(.sourceCode){margin-bottom:.5rem}.callout:not(.callout-titled) .callout-body>:first-child,.callout:not(.callout-titled) .callout-body>div>:first-child{margin-top:.25rem}.callout:not(.callout-titled) .callout-body>:last-child,.callout:not(.callout-titled) .callout-body>div>:last-child{margin-bottom:.2rem}.callout.callout-style-simple .callout-icon::before,.callout.callout-style-simple .callout-toggle::before{height:1rem;width:1rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.callout.callout-style-default .callout-icon::before,.callout.callout-style-default .callout-toggle::before{height:.9rem;width:.9rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:.9rem .9rem}.callout.callout-style-default .callout-toggle::before{margin-top:5px}.callout .callout-btn-toggle .callout-toggle::before{transition:transform .2s linear}.callout .callout-header[aria-expanded=false] .callout-toggle::before{transform:rotate(-90deg)}.callout .callout-header[aria-expanded=true] .callout-toggle::before{transform:none}.callout.callout-style-simple:not(.no-icon) div.callout-icon-container{padding-top:.2em;padding-right:.55em}.callout.callout-style-default:not(.no-icon) div.callout-icon-container{padding-top:.1em;padding-right:.35em}.callout.callout-style-default:not(.no-icon) div.callout-title-container{margin-top:-1px}.callout.callout-style-default.callout-caution:not(.no-icon) div.callout-icon-container{padding-top:.3em;padding-right:.35em}.callout>.callout-body>.callout-icon-container>.no-icon,.callout>.callout-header>.callout-icon-container>.no-icon{display:none}div.callout.callout{border-left-color:#6c757d}div.callout.callout-style-default>.callout-header{background-color:#6c757d}div.callout-note.callout{border-left-color:#325d88}div.callout-note.callout-style-default>.callout-header{background-color:#ebeff3}div.callout-note:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-note.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-note .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-tip.callout{border-left-color:#93c54b}div.callout-tip.callout-style-default>.callout-header{background-color:#f4f9ed}div.callout-tip:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-tip.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-tip .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-warning.callout{border-left-color:#ffc107}div.callout-warning.callout-style-default>.callout-header{background-color:#fff9e6}div.callout-warning:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-warning.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-warning .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-caution.callout{border-left-color:#f47c3c}div.callout-caution.callout-style-default>.callout-header{background-color:#fef2ec}div.callout-caution:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-caution.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-caution .callout-toggle::before{background-image:url('data:image/svg+xml,')}div.callout-important.callout{border-left-color:#d9534f}div.callout-important.callout-style-default>.callout-header{background-color:#fbeeed}div.callout-important:not(.callout-titled) .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-important.callout-titled .callout-icon::before{background-image:url('data:image/svg+xml,');}div.callout-important .callout-toggle::before{background-image:url('data:image/svg+xml,')}.quarto-toggle-container{display:flex;align-items:center}.quarto-reader-toggle .bi::before,.quarto-color-scheme-toggle .bi::before{display:inline-block;height:1rem;width:1rem;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.sidebar-navigation{padding-left:20px}.navbar .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,')}.navbar .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,')}.sidebar-navigation .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,')}.sidebar-navigation .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,')}.quarto-sidebar-toggle{border-color:#dee2e6;border-bottom-left-radius:.25rem;border-bottom-right-radius:.25rem;border-style:solid;border-width:1px;overflow:hidden;border-top-width:0px;padding-top:0px !important}.quarto-sidebar-toggle-title{cursor:pointer;padding-bottom:2px;margin-left:.25em;text-align:center;font-weight:400;font-size:.775em}#quarto-content .quarto-sidebar-toggle{background:#fafafa}#quarto-content .quarto-sidebar-toggle-title{color:#3e3f3a}.quarto-sidebar-toggle-icon{color:#dee2e6;margin-right:.5em;float:right;transition:transform .2s ease}.quarto-sidebar-toggle-icon::before{padding-top:5px}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-icon{transform:rotate(-180deg)}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-title{border-bottom:solid #dee2e6 1px}.quarto-sidebar-toggle-contents{background-color:#fff;padding-right:10px;padding-left:10px;margin-top:0px !important;transition:max-height .5s ease}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-contents{padding-top:1em;padding-bottom:10px}.quarto-sidebar-toggle:not(.expanded) .quarto-sidebar-toggle-contents{padding-top:0px !important;padding-bottom:0px}nav[role=doc-toc]{z-index:1020}#quarto-sidebar>*,nav[role=doc-toc]>*{transition:opacity .1s ease,border .1s ease}#quarto-sidebar.slow>*,nav[role=doc-toc].slow>*{transition:opacity .4s ease,border .4s ease}.quarto-color-scheme-toggle:not(.alternate).top-right .bi::before{background-image:url('data:image/svg+xml,')}.quarto-color-scheme-toggle.alternate.top-right .bi::before{background-image:url('data:image/svg+xml,')}#quarto-appendix.default{border-top:1px solid #dee2e6}#quarto-appendix.default{background-color:#fff;padding-top:1.5em;margin-top:2em;z-index:998}#quarto-appendix.default .quarto-appendix-heading{margin-top:0;line-height:1.4em;font-weight:600;opacity:.9;border-bottom:none;margin-bottom:0}#quarto-appendix.default .footnotes ol,#quarto-appendix.default .footnotes ol li>p:last-of-type,#quarto-appendix.default .quarto-appendix-contents>p:last-of-type{margin-bottom:0}#quarto-appendix.default .quarto-appendix-secondary-label{margin-bottom:.4em}#quarto-appendix.default .quarto-appendix-bibtex{font-size:.7em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-bibtex code.sourceCode{white-space:pre-wrap}#quarto-appendix.default .quarto-appendix-citeas{font-size:.9em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-heading{font-size:1em !important}#quarto-appendix.default *[role=doc-endnotes]>ol,#quarto-appendix.default .quarto-appendix-contents>*:not(h2):not(.h2){font-size:.9em}#quarto-appendix.default section{padding-bottom:1.5em}#quarto-appendix.default section *[role=doc-endnotes],#quarto-appendix.default section>*:not(a){opacity:.9;word-wrap:break-word}.btn.btn-quarto,div.cell-output-display .btn-quarto{color:#fefefe;background-color:#6c757d;border-color:#6c757d}.btn.btn-quarto:hover,div.cell-output-display .btn-quarto:hover{color:#fefefe;background-color:#828a91;border-color:#7b838a}.btn-check:focus+.btn.btn-quarto,.btn.btn-quarto:focus,.btn-check:focus+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:focus{color:#fefefe;background-color:#828a91;border-color:#7b838a;box-shadow:0 0 0 .25rem rgba(130,138,144,.5)}.btn-check:checked+.btn.btn-quarto,.btn-check:active+.btn.btn-quarto,.btn.btn-quarto:active,.btn.btn-quarto.active,.show>.btn.btn-quarto.dropdown-toggle,.btn-check:checked+div.cell-output-display .btn-quarto,.btn-check:active+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:active,div.cell-output-display .btn-quarto.active,.show>div.cell-output-display .btn-quarto.dropdown-toggle{color:#fff;background-color:#899197;border-color:#7b838a}.btn-check:checked+.btn.btn-quarto:focus,.btn-check:active+.btn.btn-quarto:focus,.btn.btn-quarto:active:focus,.btn.btn-quarto.active:focus,.show>.btn.btn-quarto.dropdown-toggle:focus,.btn-check:checked+div.cell-output-display .btn-quarto:focus,.btn-check:active+div.cell-output-display .btn-quarto:focus,div.cell-output-display .btn-quarto:active:focus,div.cell-output-display .btn-quarto.active:focus,.show>div.cell-output-display .btn-quarto.dropdown-toggle:focus{box-shadow:0 0 0 .25rem rgba(130,138,144,.5)}.btn.btn-quarto:disabled,.btn.btn-quarto.disabled,div.cell-output-display .btn-quarto:disabled,div.cell-output-display .btn-quarto.disabled{color:#fff;background-color:#6c757d;border-color:#6c757d}nav.quarto-secondary-nav.color-navbar{background-color:#325d88;color:rgba(255,255,255,.7)}nav.quarto-secondary-nav.color-navbar h1,nav.quarto-secondary-nav.color-navbar .h1,nav.quarto-secondary-nav.color-navbar .quarto-btn-toggle{color:rgba(255,255,255,.7)}@media(max-width: 991.98px){body.nav-sidebar .quarto-title-banner{margin-bottom:0;padding-bottom:0}body.nav-sidebar #title-block-header{margin-block-end:0}}p.subtitle{margin-top:.25em;margin-bottom:.5em}code a:any-link{color:inherit;text-decoration-color:#6c757d}/*! light */div.observablehq table thead tr th{background-color:var(--bs-body-bg)}input,button,select,optgroup,textarea{background-color:var(--bs-body-bg)}.code-annotated .code-copy-button{margin-right:1.25em;margin-top:0;padding-bottom:0;padding-top:3px}.code-annotation-gutter-bg{background-color:#fff}.code-annotation-gutter{background-color:#f8f5f0}.code-annotation-gutter,.code-annotation-gutter-bg{height:100%;width:calc(20px + .5em);position:absolute;top:0;right:0}dl.code-annotation-container-grid dt{margin-right:1em;margin-top:.25rem}dl.code-annotation-container-grid dt{font-family:var(--bs-font-monospace);color:#585a52;border:solid #585a52 1px;border-radius:50%;height:22px;width:22px;line-height:22px;font-size:11px;text-align:center;vertical-align:middle;text-decoration:none}dl.code-annotation-container-grid dt[data-target-cell]{cursor:pointer}dl.code-annotation-container-grid dt[data-target-cell].code-annotation-active{color:#fff;border:solid #aaa 1px;background-color:#aaa}pre.code-annotation-code{padding-top:0;padding-bottom:0}pre.code-annotation-code code{z-index:3}#code-annotation-line-highlight-gutter{width:100%;border-top:solid rgba(170,170,170,.2666666667) 1px;border-bottom:solid rgba(170,170,170,.2666666667) 1px;z-index:2;background-color:rgba(170,170,170,.1333333333)}#code-annotation-line-highlight{margin-left:-4em;width:calc(100% + 4em);border-top:solid rgba(170,170,170,.2666666667) 1px;border-bottom:solid rgba(170,170,170,.2666666667) 1px;z-index:2;background-color:rgba(170,170,170,.1333333333)}code.sourceCode .code-annotation-anchor.code-annotation-active{background-color:var(--quarto-hl-normal-color, #aaaaaa);border:solid var(--quarto-hl-normal-color, #aaaaaa) 1px;color:#f8f5f0;font-weight:bolder}code.sourceCode .code-annotation-anchor{font-family:var(--bs-font-monospace);color:var(--quarto-hl-co-color);border:solid var(--quarto-hl-co-color) 1px;border-radius:50%;height:18px;width:18px;font-size:9px;margin-top:2px}code.sourceCode button.code-annotation-anchor{padding:2px}code.sourceCode a.code-annotation-anchor{line-height:18px;text-align:center;vertical-align:middle;cursor:default;text-decoration:none}@media print{.page-columns .column-screen-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#fff}.page-columns .column-screen-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#fff}.page-columns .column-screen-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#fff}.page-columns .column-screen{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#fff}.page-columns .column-screen-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#fff}.page-columns .column-screen-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#fff}.page-columns .column-screen-inset-shaded{grid-column:page-start-inset/page-end-inset;padding:1em;background:#f8f5f0;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}}.quarto-video{margin-bottom:1em}.table>thead{border-top-width:0}.table>:not(caption)>*:not(:last-child)>*{border-bottom-color:#eff0ee;border-bottom-style:solid;border-bottom-width:1px}.table>:not(:first-child){border-top:1px solid #bebfb9;border-bottom:1px solid inherit}.table tbody{border-bottom-color:#bebfb9}a.external:after{display:inline-block;height:.75rem;width:.75rem;margin-bottom:.15em;margin-left:.25em;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,');background-repeat:no-repeat;background-size:.75rem .75rem}div.sourceCode code a.external:after{content:none}a.external:after:hover{cursor:pointer}.quarto-ext-icon{display:inline-block;font-size:.75em;padding-left:.3em}.code-with-filename .code-with-filename-file{margin-bottom:0;padding-bottom:2px;padding-top:2px;padding-left:.7em;border:var(--quarto-border-width) solid var(--quarto-border-color);border-radius:var(--quarto-border-radius);border-bottom:0;border-bottom-left-radius:0%;border-bottom-right-radius:0%}.code-with-filename div.sourceCode,.reveal .code-with-filename div.sourceCode{margin-top:0;border-top-left-radius:0%;border-top-right-radius:0%}.code-with-filename .code-with-filename-file pre{margin-bottom:0}.code-with-filename .code-with-filename-file,.code-with-filename .code-with-filename-file pre{background-color:rgba(219,219,219,.8)}.quarto-dark .code-with-filename .code-with-filename-file,.quarto-dark .code-with-filename .code-with-filename-file pre{background-color:#555}.code-with-filename .code-with-filename-file strong{font-weight:400}.quarto-title-banner{margin-bottom:1em;color:rgba(255,255,255,.7);background:#325d88}.quarto-title-banner .code-tools-button{color:rgba(204,204,204,.7)}.quarto-title-banner .code-tools-button:hover{color:rgba(255,255,255,.7)}.quarto-title-banner .code-tools-button>.bi::before{background-image:url('data:image/svg+xml,')}.quarto-title-banner .code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,')}.quarto-title-banner .quarto-title .title{font-weight:600}.quarto-title-banner .quarto-categories{margin-top:.75em}@media(min-width: 992px){.quarto-title-banner{padding-top:2.5em;padding-bottom:2.5em}}@media(max-width: 991.98px){.quarto-title-banner{padding-top:1em;padding-bottom:1em}}main.quarto-banner-title-block>section:first-child>h2,main.quarto-banner-title-block>section:first-child>.h2,main.quarto-banner-title-block>section:first-child>h3,main.quarto-banner-title-block>section:first-child>.h3,main.quarto-banner-title-block>section:first-child>h4,main.quarto-banner-title-block>section:first-child>.h4{margin-top:0}.quarto-title .quarto-categories{display:flex;flex-wrap:wrap;row-gap:.5em;column-gap:.4em;padding-bottom:.5em;margin-top:.75em}.quarto-title .quarto-categories .quarto-category{padding:.25em .75em;font-size:.65em;text-transform:uppercase;border:solid 1px;border-radius:.25rem;opacity:.6}.quarto-title .quarto-categories .quarto-category a{color:inherit}#title-block-header.quarto-title-block.default .quarto-title-meta{display:grid;grid-template-columns:repeat(2, 1fr)}#title-block-header.quarto-title-block.default .quarto-title .title{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-author-orcid img{margin-top:-5px}#title-block-header.quarto-title-block.default .quarto-description p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p,#title-block-header.quarto-title-block.default .quarto-title-authors p,#title-block-header.quarto-title-block.default .quarto-title-affiliations p{margin-bottom:.1em}#title-block-header.quarto-title-block.default .quarto-title-meta-heading{text-transform:uppercase;margin-top:1em;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-contents{font-size:.9em}#title-block-header.quarto-title-block.default .quarto-title-meta-contents a{color:#3e3f3a}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p.affiliation:last-of-type{margin-bottom:.7em}#title-block-header.quarto-title-block.default p.affiliation{margin-bottom:.1em}#title-block-header.quarto-title-block.default .description,#title-block-header.quarto-title-block.default .abstract{margin-top:0}#title-block-header.quarto-title-block.default .description>p,#title-block-header.quarto-title-block.default .abstract>p{font-size:.9em}#title-block-header.quarto-title-block.default .description>p:last-of-type,#title-block-header.quarto-title-block.default .abstract>p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .description .abstract-title,#title-block-header.quarto-title-block.default .abstract .abstract-title{margin-top:1em;text-transform:uppercase;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-author{display:grid;grid-template-columns:1fr 1fr}.quarto-title-tools-only{display:flex;justify-content:right}.bg-primary{background-color:#3e3f3a !important}.bg-dark{background-color:#6c757d !important}.bg-light{background-color:#f8f5f0 !important}.sandstone,.tooltip,.dropdown-menu .dropdown-item,.pagination,.breadcrumb,.nav-pills .nav-link,.nav-tabs .nav-link,.btn,.navbar .nav-link{font-size:13px;line-height:22px;font-weight:500;text-transform:uppercase}.navbar-form input,.navbar-form .form-control{border:none}.btn:hover{border-color:rgba(0,0,0,0)}.btn-success,.btn-warning{color:#fff}.table .thead-dark th{background-color:#3e3f3a}.nav-tabs .nav-link{background-color:#f8f5f0;border-color:#dee2e6}.nav-tabs .nav-link,.nav-tabs .nav-link:hover,.nav-tabs .nav-link:focus{color:#6c757d}.nav-tabs .nav-link.disabled,.nav-tabs .nav-link.disabled:hover,.nav-tabs .nav-link.disabled:focus{background-color:#f8f5f0;border-color:#dee2e6;color:#dee2e6}.nav-pills .nav-link{border:1px solid rgba(0,0,0,0);color:#6c757d}.nav-pills .nav-link.active,.nav-pills .nav-link:hover,.nav-pills .nav-link:focus{background-color:#f8f5f0;border-color:#dee2e6}.nav-pills .nav-link.disabled,.nav-pills .nav-link.disabled:hover{background-color:rgba(0,0,0,0);border-color:rgba(0,0,0,0);color:#dee2e6}.breadcrumb{border:1px solid #dee2e6}.pagination a:hover{text-decoration:none}.alert{color:#fff}.alert a,.alert .alert-link{color:#fff;text-decoration:underline}.alert-primary,.alert-primary>th,.alert-primary>td{background-color:#325d88}.alert-secondary,.alert-secondary>th,.alert-secondary>td{background-color:#6c757d}.alert-success,.alert-success>th,.alert-success>td{background-color:#93c54b}.alert-info,.alert-info>th,.alert-info>td{background-color:#29abe0}.alert-danger,.alert-danger>th,.alert-danger>td{background-color:#d9534f}.alert-warning,.alert-warning>th,.alert-warning>td{background-color:#f47c3c}.alert-dark,.alert-dark>th,.alert-dark>td{background-color:#3e3f3a}.alert-light,.alert-light>th,.alert-light>td{background-color:#f8f5f0}.alert-light,.alert-light a:not(.btn),.alert-light .alert-link{color:#3e3f3a}.badge.bg-light{color:#3e3f3a}.modal .btn-close,.toast .btn-close{background-image:url("data:image/svg+xml,")}/*# sourceMappingURL=9161419e6f82ea4435380a70856fa72b.css.map */ diff --git a/sitemap.xml b/sitemap.xml index f595fc7..13b8549 100644 --- a/sitemap.xml +++ b/sitemap.xml @@ -2,86 +2,94 @@ https://RePsychLing.github.io/SMLP2023/useful_packages.html - 2023-09-14T10:07:24.576Z + 2023-09-19T09:28:29.340Z https://RePsychLing.github.io/SMLP2023/sleepstudy.html - 2023-09-14T10:07:22.836Z + 2023-09-19T09:28:28.032Z - https://RePsychLing.github.io/SMLP2023/selection.html - 2023-09-14T10:07:20.534Z + https://RePsychLing.github.io/SMLP2023/shrinkageplot.html + 2023-09-19T09:28:26.748Z - https://RePsychLing.github.io/SMLP2023/pkg.html - 2023-09-14T10:07:19.153Z + https://RePsychLing.github.io/SMLP2023/profiling.html + 2023-09-19T09:28:25.352Z + + + https://RePsychLing.github.io/SMLP2023/mrk17.html + 2023-09-19T09:28:24.380Z https://RePsychLing.github.io/SMLP2023/kwdyz11.html - 2023-09-14T10:07:14.744Z + 2023-09-19T09:28:18.377Z https://RePsychLing.github.io/SMLP2023/kb07.html - 2023-09-14T10:07:11.692Z + 2023-09-19T09:28:14.453Z https://RePsychLing.github.io/SMLP2023/glmm.html - 2023-09-14T10:07:10.219Z + 2023-09-19T09:28:13.298Z https://RePsychLing.github.io/SMLP2023/contrasts_kwdyz11.html - 2023-09-14T10:07:01.110Z + 2023-09-19T09:28:06.330Z https://RePsychLing.github.io/SMLP2023/check_emotikon_transform.html - 2023-09-14T10:06:53.523Z + 2023-09-19T09:28:00.111Z https://RePsychLing.github.io/SMLP2023/arrow.html - 2023-09-14T10:06:51.389Z + 2023-09-19T09:27:58.451Z https://RePsychLing.github.io/SMLP2023/about.html - 2023-09-14T10:06:46.917Z + 2023-09-19T09:27:55.196Z https://RePsychLing.github.io/SMLP2023/AoGPlots.html - 2023-09-14T10:06:48.247Z + 2023-09-19T09:27:56.020Z https://RePsychLing.github.io/SMLP2023/bootstrap.html - 2023-09-14T10:06:52.616Z + 2023-09-19T09:27:59.407Z https://RePsychLing.github.io/SMLP2023/contrasts_fggk21.html - 2023-09-14T10:06:59.518Z + 2023-09-19T09:28:04.927Z https://RePsychLing.github.io/SMLP2023/fggk21.html - 2023-09-14T10:07:08.380Z + 2023-09-19T09:28:11.846Z https://RePsychLing.github.io/SMLP2023/index.html - 2023-09-14T10:07:10.798Z + 2023-09-19T09:28:13.742Z https://RePsychLing.github.io/SMLP2023/kkl15.html - 2023-09-14T10:07:13.469Z + 2023-09-19T09:28:17.345Z https://RePsychLing.github.io/SMLP2023/largescaledesigned.html - 2023-09-14T10:07:18.658Z + 2023-09-19T09:28:21.433Z - https://RePsychLing.github.io/SMLP2023/profiling.html - 2023-09-14T10:07:19.993Z + https://RePsychLing.github.io/SMLP2023/pkg.html + 2023-09-19T09:28:24.720Z - https://RePsychLing.github.io/SMLP2023/shrinkageplot.html - 2023-09-14T10:07:21.770Z + https://RePsychLing.github.io/SMLP2023/selection.html + 2023-09-19T09:28:25.748Z + + + https://RePsychLing.github.io/SMLP2023/singularity.html + 2023-09-19T09:28:27.200Z https://RePsychLing.github.io/SMLP2023/sleepstudy_speed.html - 2023-09-14T10:07:23.985Z + 2023-09-19T09:28:28.896Z diff --git a/sleepstudy.html b/sleepstudy.html index b6d4155..256237a 100644 --- a/sleepstudy.html +++ b/sleepstudy.html @@ -7,7 +7,7 @@ - + SMLP2023: Advanced Frequentist Track - Analysis of the sleepstudy data