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diff --git a/posts/kbhcalp/index.html b/posts/kbhcalp/index.html
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+<!doctype html><html lang=en-us><head><meta charset=UTF-8><meta name=viewport content="width=device-width,initial-scale=1"><meta http-equiv=X-UA-Compatible content="IE=edge"><link rel=preconnect href=https://fonts.googleapis.com><link rel=preconnect href=https://fonts.gstatic.com crossorigin><link href="https://fonts.googleapis.com/css2?family=Commissioner:wght@100;300;400;500;700&family=IBM+Plex+Sans:ital,wght@0,100;0,300;0,400;0,500;0,700;1,300;1,400;1,500;1,700&display=swap" rel=stylesheet><link rel=stylesheet href=https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.1.1/css/all.min.css integrity="sha512-KfkfwYDsLkIlwQp6LFnl8zNdLGxu9YAA1QvwINks4PhcElQSvqcyVLLD9aMhXd13uQjoXtEKNosOWaZqXgel0g==" crossorigin=anonymous referrerpolicy=no-referrer><script src=https://code.jquery.com/jquery-3.6.0.min.js integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin=anonymous></script><link rel=preconnect href=https://fonts.googleapis.com><link rel=preconnect href=https://fonts.gstatic.com crossorigin><link href="https://fonts.googleapis.com/css2?family=Jost:ital,wght@0,100;0,300;0,400;0,500;0,700;1,300;1,400;1,500;1,700&display=swap" rel=stylesheet><script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script><script id=MathJax-script async src=https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js></script><script>window.MathJax={loader:{load:["[tex]/physics"]},tex:{packages:{"[+]":["physics"]}}}</script><title>CALP</title>
+<meta name=description content="Contraindicated offline POMDP solver.
+Contrained belief state MDP Linear Programming belief set generation Approximate POMDP with Contrainst CPOMDPs are Hard Can&rsquo;t do DP with pruning: optimal policies may be stochastic Minimax quadratically contained program: computational intractable Contained PBVI struggles with contraint satisfaction CALP Core Idea Recast CPOMDP as a contrained belief-state MDP.
+We replace our state-space with our belief space:
+\(S = B\) \(s_0 = b_0\) You essentially assume here that there is some finite belief space."><meta name=author content="Houjun Liu"><link rel=stylesheet href=/css/global.css><link rel=stylesheet href=/css/syntax.css></head><body><div class=center-clearfix><header><span id=header-name onclick='window.location.href="/"' style=cursor:pointer>Houjun Liu</span><div id=socialpanel><a href=https://www.jemoka.com/search/ class=header-social id=header-search><i class="ic fa-solid fa-magnifying-glass"></i></i></a>
+<a href=https://github.com/Jemoka/ class=header-social id=header-github><i class="ic fa-brands fa-github"></i></a>
+<a href=https://maly.io/@jemoka class=header-social id=header-twitter><i class="ic fa-brands fa-mastodon"></i></a>
+<a href=https://www.reddit.com/user/Jemoka/ class=header-social id=header-reddit><i class="ic fa-brands fa-reddit"></i></a></div></header><div id=title><h1>CALP</h1><span class=tagbox></span></div><aside id=toc><h1 id=toc-title>table of contents</h1><nav id=TableOfContents><ul><li><a href=#cpomdps-are-hard>CPOMDPs are Hard</a></li><li><a href=#calp-core-idea>CALP Core Idea</a></li></ul></nav></aside><main><article><div><p><strong>Contraindicated</strong> offline POMDP solver.</p><ul><li>Contrained belief state MDP</li><li>Linear Programming</li><li>belief set generation</li><li>Approximate POMDP with Contrainst</li></ul><h2 id=cpomdps-are-hard>CPOMDPs are Hard</h2><ul><li>Can&rsquo;t do DP with pruning: optimal policies may be stochastic</li><li>Minimax quadratically contained program: computational intractable</li><li>Contained <a href=/posts/kbhpoint_based_value_iteration/>PBVI</a> struggles with contraint satisfaction</li></ul><h2 id=calp-core-idea>CALP Core Idea</h2><p>Recast <a href=/posts/kbhcpomdp/>CPOMDP</a> as a contrained <a href=/posts/kbhbelief_state_mdp/>belief-state MDP</a>.</p><p>We replace our state-space with our belief space:</p><ul><li>\(S = B\)</li><li>\(s_0 = b_0\)</li></ul><p>You essentially assume here that there is some finite belief space.</p></div></article></main><footer><p id=footer>&copy; 2019-2024 Houjun Liu. Licensed CC BY-NC-SA 4.0.</p></footer></div></body></html>
diff --git a/posts/kbhcantilever_beams/index.html b/posts/kbhcantilever_beams/index.html
@@ -7,7 +7,7 @@
 is the change in deflection over location. &ldquo;How much deviation of the beam from the resting axi is there as you run along it?"><meta name=author content="Houjun Liu"><link rel=stylesheet href=/css/global.css><link rel=stylesheet href=/css/syntax.css></head><body><div class=center-clearfix><header><span id=header-name onclick='window.location.href="/"' style=cursor:pointer>Houjun Liu</span><div id=socialpanel><a href=https://www.jemoka.com/search/ class=header-social id=header-search><i class="ic fa-solid fa-magnifying-glass"></i></i></a>
 <a href=https://github.com/Jemoka/ class=header-social id=header-github><i class="ic fa-brands fa-github"></i></a>
 <a href=https://maly.io/@jemoka class=header-social id=header-twitter><i class="ic fa-brands fa-mastodon"></i></a>
-<a href=https://www.reddit.com/user/Jemoka/ class=header-social id=header-reddit><i class="ic fa-brands fa-reddit"></i></a></div></header><div id=title><h1>Cantilever Beams</h1><span class=tagbox></span></div><aside id=toc><h1 id=toc-title>table of contents</h1><nav id=TableOfContents><ul><li><a href=#working-with-cantilever-beams--kbhcantilever-beams-dot-md>Working with <a href=HAHAHUGOSHORTCODE178s1HBHB>Cantilever Beams</a></a><ul><li><a href=#curvature>curvature</a></li><li><a href=#flexural-rigidity>flexural rigidity</a></li><li><a href=#bending-moment>bending moment</a></li><li><a href=#magic>magic</a></li></ul></li><li><a href=#solving-this>Solving this?</a></li><li><a href=#actually-attempting-to-solve-it>Actually attempting to solve it</a></li><li><a href=#working-on-deformation>Working on Deformation</a></li></ul></nav></aside><main><article><div><p>A <a href=/posts/kbhcantilever_beams/>Cantilever</a> beam is a rigid structure which is extended horizontally and supported on one end.</p><hr><h2 id=working-with-cantilever-beams--kbhcantilever-beams-dot-md>Working with <a href=/posts/kbhcantilever_beams/>Cantilever Beams</a></h2><h3 id=curvature>curvature</h3><p>Let&rsquo;s first define a function:</p><p>\begin{equation}
+<a href=https://www.reddit.com/user/Jemoka/ class=header-social id=header-reddit><i class="ic fa-brands fa-reddit"></i></a></div></header><div id=title><h1>Cantilever Beams</h1><span class=tagbox></span></div><aside id=toc><h1 id=toc-title>table of contents</h1><nav id=TableOfContents><ul><li><a href=#working-with-cantilever-beams--kbhcantilever-beams-dot-md>Working with <a href=HAHAHUGOSHORTCODE179s1HBHB>Cantilever Beams</a></a><ul><li><a href=#curvature>curvature</a></li><li><a href=#flexural-rigidity>flexural rigidity</a></li><li><a href=#bending-moment>bending moment</a></li><li><a href=#magic>magic</a></li></ul></li><li><a href=#solving-this>Solving this?</a></li><li><a href=#actually-attempting-to-solve-it>Actually attempting to solve it</a></li><li><a href=#working-on-deformation>Working on Deformation</a></li></ul></nav></aside><main><article><div><p>A <a href=/posts/kbhcantilever_beams/>Cantilever</a> beam is a rigid structure which is extended horizontally and supported on one end.</p><hr><h2 id=working-with-cantilever-beams--kbhcantilever-beams-dot-md>Working with <a href=/posts/kbhcantilever_beams/>Cantilever Beams</a></h2><h3 id=curvature>curvature</h3><p>Let&rsquo;s first define a function:</p><p>\begin{equation}
 w(x)
 \end{equation}</p><p>this represents the deflection of the beam at point \(x\). We will begin by taking its derivative by location:</p><p>\begin{equation}
 \Delta w = \pdv{w}{x}

diff --git a/posts/kbhcivil_rights/index.html b/posts/kbhcivil_rights/index.html
@@ -4,4 +4,4 @@
 educational integration in the civil rights movement K-12 disintegration: Brown v. Board of Education University of Georgia was the first disintegrated university in the south service integration in the civil rights movement Lunch counter boycotts."><meta name=author content="Houjun Liu"><link rel=stylesheet href=/css/global.css><link rel=stylesheet href=/css/syntax.css></head><body><div class=center-clearfix><header><span id=header-name onclick='window.location.href="/"' style=cursor:pointer>Houjun Liu</span><div id=socialpanel><a href=https://www.jemoka.com/search/ class=header-social id=header-search><i class="ic fa-solid fa-magnifying-glass"></i></i></a>
 <a href=https://github.com/Jemoka/ class=header-social id=header-github><i class="ic fa-brands fa-github"></i></a>
 <a href=https://maly.io/@jemoka class=header-social id=header-twitter><i class="ic fa-brands fa-mastodon"></i></a>
-<a href=https://www.reddit.com/user/Jemoka/ class=header-social id=header-reddit><i class="ic fa-brands fa-reddit"></i></a></div></header><div id=title><h1>civil rights movement</h1><span class=tagbox></span></div><aside id=toc><h1 id=toc-title>table of contents</h1><nav id=TableOfContents><ul><li><a href=#civil-rights-movement-starting>civil rights movement starting</a></li><li><a href=#educational-integration-in-the-civil-rights-movement>educational integration in the civil rights movement</a></li><li><a href=#service-integration-in-the-civil-rights-movement--kbhcivil-rights-dot-md>service integration in the <a href=HAHAHUGOSHORTCODE203s7HBHB>civil rights movement</a></a></li><li><a href=#snick>SNICK</a></li><li><a href=#motown-records>Motown Records</a></li><li><a href=#malcom-x>Malcom X</a></li><li><a href=#bloody-sunday>Bloody Sunday</a></li><li><a href=#black-power-movement>Black Power Movement</a></li></ul></nav></aside><main><article><div><h2 id=civil-rights-movement-starting>civil rights movement starting</h2><p><a href=/posts/kbhcivil_rights/>civil rights</a> moment was kicked off by the <a href=/posts/kbhrosa_parks/>Rosa Parks</a> incident, which caused the <a href=/posts/kbhmontomery_bus_boycott/>Montomery Bus Boycott.</a></p><p><a href=/posts/kbhmartin_luther_king/>Martin Luther King</a> capitalized the incident to kick start civil rights movement. He employed the method of <a href=/posts/kbhnonviolence_movement/>nonviolence movement</a>.</p><h2 id=educational-integration-in-the-civil-rights-movement>educational integration in the civil rights movement</h2><ul><li>K-12 disintegration: <a href=/posts/kbhbrown_v_board_of_education/>Brown v. Board of Education</a></li><li><a href=/posts/kbhuniversity_of_georgia/>University of Georgia</a> was the first disintegrated university in the south</li></ul><h2 id=service-integration-in-the-civil-rights-movement--kbhcivil-rights-dot-md>service integration in the <a href=/posts/kbhcivil_rights/>civil rights movement</a></h2><p>Lunch counter boycotts. Nashville became the first desegregated lunch counter.</p><h2 id=snick>SNICK</h2><p>SNICK is a student organization founded by <a href=/posts/kbhella_baker/>Ella Baker</a> in the <a href=/posts/kbhcivil_rights/>civil rights movement</a> that sent students into the most dangerous areas of segregation and leading protests.</p><h2 id=motown-records>Motown Records</h2><p><a href=#motown-records>Motown Records</a> is an African-American owned Detroit record business</p><h2 id=malcom-x>Malcom X</h2><p>A <a href=/posts/kbhcivil_rights/>civil rights movement</a> activist, calling for more violent forms of protest and prosecuting specific white actions. <a href=#malcom-x>Malcom X</a> and <a href=/posts/kbhmartin_luther_king/>Martin Luther King</a> contradicted each other in methods of active persecution vs. nonviolent integration.</p><h2 id=bloody-sunday>Bloody Sunday</h2><p><a href=#bloody-sunday>Bloody Sunday</a> was a voting rights march from Selma to Montgomery. Peaceful protesters were attacked with nightsticks and tear gas. The event was widely televised: transforming the movement as a televised morality play.</p><p>Nonviolence helps getting the clergy leaders as a form of leveraging religion in a show of unity.</p><h2 id=black-power-movement>Black Power Movement</h2><p>A new chapter in the <a href=/posts/kbhcivil_rights/>civil rights movement</a> which incorporated less of the elements of integration but instead in wanted more sense of self-determination. <a href=/posts/kbhnonviolence_movement/>nonviolence movement</a>, which the <a href=#black-power-movement>Black Power Movement</a> overrided, had ran its course when <a href=/posts/kbhmartin_luther_king/>Martin Luther King</a> was assassinated.</p></div></article></main><footer><p id=footer>&copy; 2019-2024 Houjun Liu. Licensed CC BY-NC-SA 4.0.</p></footer></div></body></html>
+<a href=https://www.reddit.com/user/Jemoka/ class=header-social id=header-reddit><i class="ic fa-brands fa-reddit"></i></a></div></header><div id=title><h1>civil rights movement</h1><span class=tagbox></span></div><aside id=toc><h1 id=toc-title>table of contents</h1><nav id=TableOfContents><ul><li><a href=#civil-rights-movement-starting>civil rights movement starting</a></li><li><a href=#educational-integration-in-the-civil-rights-movement>educational integration in the civil rights movement</a></li><li><a href=#service-integration-in-the-civil-rights-movement--kbhcivil-rights-dot-md>service integration in the <a href=HAHAHUGOSHORTCODE204s7HBHB>civil rights movement</a></a></li><li><a href=#snick>SNICK</a></li><li><a href=#motown-records>Motown Records</a></li><li><a href=#malcom-x>Malcom X</a></li><li><a href=#bloody-sunday>Bloody Sunday</a></li><li><a href=#black-power-movement>Black Power Movement</a></li></ul></nav></aside><main><article><div><h2 id=civil-rights-movement-starting>civil rights movement starting</h2><p><a href=/posts/kbhcivil_rights/>civil rights</a> moment was kicked off by the <a href=/posts/kbhrosa_parks/>Rosa Parks</a> incident, which caused the <a href=/posts/kbhmontomery_bus_boycott/>Montomery Bus Boycott.</a></p><p><a href=/posts/kbhmartin_luther_king/>Martin Luther King</a> capitalized the incident to kick start civil rights movement. He employed the method of <a href=/posts/kbhnonviolence_movement/>nonviolence movement</a>.</p><h2 id=educational-integration-in-the-civil-rights-movement>educational integration in the civil rights movement</h2><ul><li>K-12 disintegration: <a href=/posts/kbhbrown_v_board_of_education/>Brown v. Board of Education</a></li><li><a href=/posts/kbhuniversity_of_georgia/>University of Georgia</a> was the first disintegrated university in the south</li></ul><h2 id=service-integration-in-the-civil-rights-movement--kbhcivil-rights-dot-md>service integration in the <a href=/posts/kbhcivil_rights/>civil rights movement</a></h2><p>Lunch counter boycotts. Nashville became the first desegregated lunch counter.</p><h2 id=snick>SNICK</h2><p>SNICK is a student organization founded by <a href=/posts/kbhella_baker/>Ella Baker</a> in the <a href=/posts/kbhcivil_rights/>civil rights movement</a> that sent students into the most dangerous areas of segregation and leading protests.</p><h2 id=motown-records>Motown Records</h2><p><a href=#motown-records>Motown Records</a> is an African-American owned Detroit record business</p><h2 id=malcom-x>Malcom X</h2><p>A <a href=/posts/kbhcivil_rights/>civil rights movement</a> activist, calling for more violent forms of protest and prosecuting specific white actions. <a href=#malcom-x>Malcom X</a> and <a href=/posts/kbhmartin_luther_king/>Martin Luther King</a> contradicted each other in methods of active persecution vs. nonviolent integration.</p><h2 id=bloody-sunday>Bloody Sunday</h2><p><a href=#bloody-sunday>Bloody Sunday</a> was a voting rights march from Selma to Montgomery. Peaceful protesters were attacked with nightsticks and tear gas. The event was widely televised: transforming the movement as a televised morality play.</p><p>Nonviolence helps getting the clergy leaders as a form of leveraging religion in a show of unity.</p><h2 id=black-power-movement>Black Power Movement</h2><p>A new chapter in the <a href=/posts/kbhcivil_rights/>civil rights movement</a> which incorporated less of the elements of integration but instead in wanted more sense of self-determination. <a href=/posts/kbhnonviolence_movement/>nonviolence movement</a>, which the <a href=#black-power-movement>Black Power Movement</a> overrided, had ran its course when <a href=/posts/kbhmartin_luther_king/>Martin Luther King</a> was assassinated.</p></div></article></main><footer><p id=footer>&copy; 2019-2024 Houjun Liu. Licensed CC BY-NC-SA 4.0.</p></footer></div></body></html>