Many cryptographic algorithms like RSA, Diffie-Hellman key exchange are based on arithmetic operations modulo a large number. These algorithms require to do...

1. Introduction: Biomathematics or mathematical biosciences are concerned with the applications of mathematical techniques to get an insight into the problems...

Abstract: Image denoising is among the most fundamental problems in image processing. A large range of methods covering various fields of mathematics are...

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! =...

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