Stochastic Convergence

Asked Jan 11 '16 at 21:27

Active Jan 11 '16 at 21:27

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I need help figuring out if a series of "apparently random" digits are the result of the same (possibly non-polynomial) function, ergo, not-random but deterministic.

The highest level math I know is calculus and I never had to take probability. From wikipedia and several sources it appears "convergence" is what I'm looking for. However, I was rather confused by the articles given a lack of background in probability.

For example, imagine three sets of integers:

S_1: 13,101,413
S_2: 15,141,411
S_3: 86,753,009

Are they the result of a function F? If so, how would I determine the function that spat those integers out as output?

Please help me out with this

asked Jan 11 '16 at 21:27

grepNstepN

Given any finite series of numbers, there exists a polynomial p such that p(1), p(2), p(3), ... generates those series of numbers. Is that what you're looking for? – Jan 12 '16 at 00:55
sounds about right – grepNstepN Jan 13 '16 at 05:15
http://math.stackexchange.com/questions/837902/prove-there-exists-a-unique-n-th-degree-polynomial-that-passes-through-n1-p – Jan 13 '16 at 06:02
thanks that appears to be it – grepNstepN Jan 15 '16 at 21:24

Stochastic Convergence

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