In September $1998$, Google went online and immediately after, it became clear that in comparison to other search engines Google delivered much relevant or...
A rational number or a fraction where the numerator is $1$ and the denominator is any positive integer $n,$ is called a unit fraction and is denoted as...
We will start this topic with the statement of Fundamental Theorem of Arithmetic.Fundamental Theorem of Arithmetic: Every positive integer $n > 1$ can be...
Problem 1: If $a$, $b$ and $c$ are three positivie numbers then, $$\frac{b^2 + c^2}{b + c} + \frac{c^2 + a^2}{c + a} + \frac{a^2 + b^2}{a + b} \geq a + b +...
DefinitionFor any positive integer $n (>0)$ the factorial of $n$, denoted as $n!$, is defined as\begin{align}n! =...
In this short note, I explain the magnetic monopole and electromagnetic duality. As we know that mathematics and physics are intertwined. Here I show...
For any prime $p$ other than $2$ and $5$ first find out some $x$ such that $px = 10y + 1,$ where $x$ and $y$ are both integers. In number theory, Bezout's...
In my childhood days, I had to take a long bicycle ride to my school. I had two choices. One way was to take a road which was long yet mostly empty....
