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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Does the number of nines increase?
Date: Wed, 10 Jul 2024 21:41:31 -0700
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On 7/10/2024 5:32 PM, Ben Bacarisse wrote:
> "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes:
[...]

Just making up a quick example, I need to work on something else right 
now... Sorry Ben.

aba  b    ab = ababab
aba  ba   b = ababab


Can we try to use something like:

a = 2
b = 3

Where:

ab   ab  ab = 2 + 3 + 2 + 3 + 2 + 3 = 15
aba  ba   b = 2 + 3 + 2 + 3 + 2 + 3 = 15

And/or, using a little sorting:

ab   ab  ab = 2 + 2 + 2 + 3 + 3 + 3 = 15

or:

ab   ab  ab = (2 * 3) + (3 * 3) = 15
aba  ba   b = 2 * 3 + 3^2 = 15

Reduce to lowest terms. Go on...


So, we can take all of the patterns that equal the top and bottom grid 
"numbers", so to speak, and then work with those that fit the condition 
instead of comparing actual strings? Sound okay as a possible base for a 
"solver", or is it crap to the n'th power? If they have the same number, 
then we can drill down on them?

I have to do some 3d work right now. Shit. Now I am thinking of a 
uniqueness property...