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Generating Function

Saturday, March 25, 2017

An irrelevant Biblical reference to illustrate that multiplication is prevalent in Combinatorics Introduction                  ...
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Euler's totient function (Fine!)

Saturday, March 18, 2017

Introduction Euler's Totient Function , $\phi$ (called Phi), is of significant importance in Number Theory. $\phi(n)$ denotes the...
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Euclidean Algorithm and Wilson Theorem

Saturday, March 11, 2017

Goal We seek to prove the famous Wilson Theorem:         $(p-1)! \equiv (-1) \pmod{p}$ for odd prime $p$ The easy way to prove...
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Multinomial Theorem

Wednesday, March 8, 2017

Prerequisite Knowledge of Factorial Where magic happens We start off by asking the question: how many ways are there to arrange ...
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Linear Congruence and Fermat Theorem

Saturday, March 4, 2017

Prerequisite This article assumes basic knowledge of congruence (what it means ect...), if you find this assumption outrageo...
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