From c971c256415ec9b845866b832f6e1ca0000cf66f Mon Sep 17 00:00:00 2001
From: Ben Peachey <github@pother.ca>
Date: Fri, 20 Sep 2024 17:11:04 +0200
Subject: [PATCH] Add math question 4469824.

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+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...