I'm not really sure what you're asking now.
Your last example is what we call a sequence and is related to series.
Matrix calculations are a subject of lineair algebra, althoug they have many applications.
Is there a field in maths studies the relationship between a group of numbers or matrices?
for example, we have two materices:
a = (1,4,6,88)
b = (2,8,12,176)
It's obvious that when we multiply each element in a by 2 we get b elements.
Another example to clarify what I need:
(When we add 2 to each number we get the next one)
These are simple examples. Are there some mathematical rules help in getting more complex relationships?
Pardon my poor math english.
What I need is :
The mathematics field that study prediction. I found a lot of subjects like Lagrange Interpolation Formula but it's difficult to understand. I heared that LPC (Linear Prediction Coding) can be used to estimate and predict un-sequential numbers.
Can you explain it to me in plain english or is there a site talking about it clearly.