## Jensen's Inequality

May 17, 2018

This blog post is aimed to explain proof of Jensen's Inequality.

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## On Lagrange Multipliers

December 9, 2014

This blog post is aimed to explain proof of Lagrange Multipliers.

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## Notes on Cryptology

September 11, 2014

This blog post is aimed to explain basic cryptology concepts and math behind RSA algorithm.

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## Proof on Infinity of Prime Numbers

September 11, 2014

In this post, I show that we have infinitely many prime numbers. To do so, I use a proof from 300 BC which provided by
Greek Mathematician.

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## Fermat’s Little Theorem

September 9, 2014

A French lawyer at the Parlement of Toulouse, and amateur (means lover of) Mathematician in 17th century, called Pierre de Fermat proposed the following statement:

If **p** is a prime number, then for any integer **n**,
the number ** n^{p} - n** is an integer multiple of **p**

This post is dedicated to provide the proof of the statement

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## Euler's Totient Function

September 4, 2014

A Swiss mathematician from 18th century, called Leonhard Euler formulated the following proposition.

If n is a positive integer, than totient function of n gives the amount of integers, that are less than n and relatively prime to n .

This post is dedicated to express the formula and elaborate the proof of it.

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