[Aim of this article: This post propose a problem and gives an approach to solve it.] Our problem will go like this: Take any number , and then, take , where and . Find the number of possible choices for and when ? Order doesn’t matter, e.g. and is same as and . To solve ...

[Aim of this article: I will provide you a full proof of the Berry-Esseen theorem which I successfully proved it after investing two hours. This theorem gives us the maximum convergence limit of the basin of attraction in the Central limit theorem.] [Note: I want to note here from the very beginning, this post is ...

[Aim of this article: To give a brief history of graph theory and topology] [Note: This article is somewhat technical.] Many many years ago, there was a problem which created a mind-boggling puzzle to the eminent mathematician named Leonard Euler. But this isn’t the main starting of our story. There was a historical city of Königsberg ...