The Notebook
İstanbul, Turkey

Asymptotic Equipartition Property May 30, 2018

This blog post explains asymptotic equipartition property.

Weak Law of Large Numbers May 30, 2018

This blog post explains weak law of large numbbers.

Jensen's Inequality May 17, 2018

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

On Lagrange Multipliers December 9, 2014

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

Notes on Cryptology September 11, 2014

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

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.

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

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.