# About Gaurav Tiwari

Gaurav Tiwari is a blogger, influencer and designer with expertise in brand regeneration and growth hacking. He is the co-founder of Gatilab, a successful digital agency focused on content and design.

## Analysis of Meteorological Data of Pantnagar Weather Station

About This post is actually a summary of a research project I took under INSPIRE-SHE Scholarship Program by the Dept. of Science and Technology, Govt. of India. My plan was to make the content open-source on the web that faults could be corrected by time. The language is simple and very easy to understand and…

## Irrational Numbers and The Proofs of their Irrationality

"Irrational numbers are those real numbers which are not rational numbers!" Def.1: Rational Number A rational number is a real number which can be expressed in the form of where $a$ and $b$ are both integers relatively prime to each other and $b$ being non-zero.Following two statements are equivalent to the definition…

## The Area of a Disk

If you are aware of elementary facts of geometry, then you might know that the area of a disk with radius $R$ is $\pi R^2$ . Premise The radius is actually the measure(length) of a line joining the center of disk and any point on the circumference of the disk or any other…

## Triangle Inequality

Triangle inequality has its name on a geometrical fact that the length of one side of a triangle can never be greater than the sum of the lengths of other two sides of the triangle. If $a$ , $b$ and $c$ be the three sides of a triangle, then neither $a$…

## Welcome 2012 – The National Mathematical Year in India

I was very pleased on reading this news that Government of India has decided to celebrate the upcoming year 2012 as the National Mathematical Year. This is 125th birth anniversary of math-wizard Srinivasa Ramanujan (1887-1920). He is one of the greatest mathematicians India ever produced. Well this is ‘not’ the main reason for appointing 2012…

## Interesting Math Articles and Must Read Research Papers for Students

An old yet beautiful untabled listing of highly interactive mathematics related articles and papers available online.

## Claim for a Prime Number Formula

Dr. SMRH Moosavi has claimed that he had derived a general formula for finding the $n$ -th prime number. More details can be found here at PrimeNumbersFormula.com and a brief discussion here at Math.SE titled  "Formula for the nth prime number: discovered?" SOME MORE EXCERPTS ARE HERE:

## Find the Day of a Date using this Calendar Formula

Calendars have very decent stories and since this blog is based on mathematical approach, let we talk about the mathematical aspects of calendars. The Calendar We Use The international calendar we use is called Gregorian Calendar, said to be created by Pope Gregory XIII. Gregorian calendar was introduced in 80s of 16th century, to be…

## Equations: A Basic Introduction

Before we hop on to the concept of Equations, let's understand why these are used and applied. And then we will walk through the subject matter. Application of Equations Applied mathematics is one that is used in day-to-day life, in solving troubles (problems), or in business purposes. Let me write an example: George's Money George…

## WordPress URL Shortening: An Interesting Consequence

Long post and page URLs can be annoying. Take an example: https://gauravtiwari.org/2011/02/06/derivative-of-x-squared-is-2x-or-x-where-is-the-fallacy/ (one of the most popular posts from my blog). Will you like to write these (about) a hundred characters? Or will you prefer URL shorteners, like bit.ly or wp.me, instead? As a third option, you may say, "I can just copy and paste the URLs to…

## Numbers - The Basic Introduction

If mathematics was a language, logic was the grammar, numbers should have been the alphabet. There are many types of numbers we use in mathematics, but at a broader aspect we may categorize them in two categories: 1. Countable Numbers 2. Uncountable Numbers The numbers which can be counted in nature are called Countable Numbers…