-
Notifications
You must be signed in to change notification settings - Fork 180
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
- Loading branch information
Showing
1 changed file
with
48 additions
and
0 deletions.
There are no files selected for viewing
48 changes: 48 additions & 0 deletions
48
...-for-addition-and-multiplication-of-a-sequence-of-digits-using-varying-order.md
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,48 @@ | ||
--- | ||
permalink: /math.questions.4469824.name-for-addition-and-multiplication-of-a-sequence-of-digits-using-varying-order/index.html | ||
--- | ||
|
||
# Name for addition and multiplication of a sequence of digits, using varying order of mathematical symbols, with the same outcome | ||
|
||
I am looking for the correct name for mathematics like this: | ||
|
||
$` | ||
1 + 2 \times 3 + 4 \times 5 + 6 \times 7 + 8 = 77 | ||
`$ | ||
|
||
$` | ||
1 + 2 + 3 + 4 + 5 + 6 + 7 \times 8 = 77 | ||
`$ | ||
|
||
$` | ||
1 \times 2 \times 3 + 4 + 5 + 6 + 7 \times 8 = 77 | ||
`$ | ||
|
||
That is to say: maths that uses the same digits, in sequence, but with varying mathematical symbols, in order to reach the same integer. | ||
|
||
For clarification: | ||
|
||
- The sum doesn't need to be 77, that just an example. | ||
- Only addition and multiplication are used<sup>1</sup> | ||
- It could be less digits (e.g. just using 1, 2, 3, and 4) | ||
- It could be all digits (i.e. 1, 2, 3, 4, 5, 6, 7, 8, 9)<sup>2</sup> | ||
|
||
Anyway, I'd like to learn/read more about things like this, but I have no idea what to look for. | ||
|
||
So... **How are these kind of calculations called?** | ||
|
||
- - - | ||
|
||
Until a name for these equations comes to light, I will name them after myself: | ||
|
||
# Peachey Equations | ||
|
||
To calculate them, I have created [the Peachey Equation Generator][1] | ||
|
||
[1]: https://gist.pother.ca/650622174093f7d07e3ef8849e908f8c | ||
|
||
- - - | ||
|
||
<sup>1</sup> if there is a term, but _only_ if division and subtraction are included, then that's okay too... | ||
|
||
<sup>2</sup> Not sure if/where zero fits in here... |