[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 you some strategies on how to set and follow your dream to be a future physicist.] [Note: Target audiences are bachelor students who are studying physics. ] Let’s get started! You want to be a physicist in near future. Right? That’s why you are studying Physics in your bachelor. ...

[ Aim of this article: To explain about the conception of space, time and gravity from past to present.] [ Note: Actually, this article represents the script of the embed video in here. The featured snapshot is one of the slides from my mid-term progress defense presentation.] Before I answer this question, let’s go back ...

[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 ...

[ Aim of this article: To introduce the basic idea of Ising 2D model ] Before we proceed for the exploration, let you rejoice with the historical background of Ising Model. Spontaneous magnetization is a very peculiar property of the ferromagnetic material. So, many physicists in the early twentieth century found this phenomenon curious. Physicists lacked ...