## My mobile number is a prime number

My personal mobile number 9565804301 is a prime number. What is a prime number?$ Any integer p greater than 1 is called a prime number if and only if its positive factors are 1 and the number p itself.…

My personal mobile number 9565804301 is a prime number. What is a prime number?$ Any integer p greater than 1 is called a prime number if and only if its positive factors are 1 and the number p itself.…

1st April is a day of fun, humor and enjoyment. Even though, I have lot of fun puzzles on this blog, these ten are totally meant for today. Enjoy! PUZZLES 1. If you are in a…

A detailed and practical review of one of the most amazing LaTeX editors available for all desktop platforms like Windows, Mac and Linux. TeXStudio is a team project of Benito van der Zander, Jan Sundermeyer, Daniel Braun and Tim Hoffmann, forked from the TeXMaker application, a non-open source application, which open-source development stalled in 2009.

Mathematical Physicist Yakov Gregory Sinai, (b. 21st September 1935, 78 years old) has been awarded the prestigious Abel Prize for 2014 by the Norwegian Academy of Science and Letters (NASL). The President of the NASL, Nils…

This post explains the basic method of converting an integral equation into a corresponding differential equation.

Consider two natural numbers $n_1$ and $n_2$, out of which one is twice as large as the other. We are not told whether $n_1$ is larger or $n_2$, we can state following two propositions: PROPOSITION…

Infinitely many answers questions are possible to the answer, "No". So, our real task should be to find one of THOSE many, which seems to be a perfect one. A simple and the first ever…

Square Integrable function or quadratically integrable function $\mathfrak{L}_2$ function A function $y(x)$ is said to be square integrable or $\mathfrak{L}_2$ function on the interval $(a,b)$ if $$\displaystyle {\int_a^b} {|y(x)|}^2 dx <\infty$$ or $$\displaystyle {\int_a^b} y(x)…

If you have finished your course in Calculus and Differential Equations, you should head to your next milestone: the Integral Equations. This marathon series (planned to be of 6 or 8 parts) is dedicated to…