A very unique request for help.

[Shingi]

Looking for a software that can find trends. For example. If I got a matrix of say like the following.

1 2 3 4
5 6 7 8
9 0 1 2

and say the next matrix is

3 4 5 6
7 8 9 0
1 2 3 4

and next is

5 6 7 8
9 0 1 2
3 4 5 6

you know what the patter is already, are there softwares that will allow you to plug in various patterns or matrixes to see if there is a pattern to predict what the next matrix/patterns should be? It doesn't have to be matrix, even a line is fine, but it needs to be able to predict base on past given #. If I didn't clarify enough please ask.

Looking for a software that is sophisticated to be able to do this task. I know it kinda sounds like FOLDING or something. Given a good amount of past integers looking for future # is the idea.

Any clues guys, really need help on this one.

 

[Ken g6]

Given any sequence, one can construct an infinite number of n-degree polynomials that satisfy the sequence, hence discern an infinite number of answers. If you're limiting to Diophantine equations (which produce integers), there might be some hope for you, but I doubt it, considering n is also unlimited.

Humans are great pattern-finders. But we often find patterns that don't really mean anything.

Although if the first of two matrices covers the entire set, and for each number in the first matrix the corresponding number in the second matrix is always the result and is always in the set of values from the first matrix, then you have a finite state machine. That's deterministic, and there might be some software to help you there.