Lorentz transformation is how an observer sees an event when he is moving on different points of spacetime. I want to note here, in special (or, general) relativity, our universe and the spacetime are interchangeable terms (For why, see this). But, in reality, the same observer can’t be in different places at a time to ...

You most probably have learned the synthetic division method for the polynomial when divided by . But, what if the divisor is a second-degree polynomial? Now, the method you were trained will not work. In this post, I will try to explain a bit more detail about the method which will work for our proposed ...

Many many years ago, human beings (We) invented counting. Since, then the concept related to counting is probably the most greatest discovery in the initial phase of mathematics. We know more about the number systems like real numbers , rational numbers , natural numbers , and so on. And also, we divided the number systems ...

Of course! By using a ruler, right? But in reality, you are actually coinciding given two points with the points of your ruler. Then you will say, these points are separated by a unit in length. I want to mention now, in the above line consisting of points [see above figure], these points are equally separated. ...

[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 ...