# 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) hundred characters? Or will prefer URL shorteners, like bit.ly or wp.me, instead? As third option, will you just copy and paste the URLs to anywhere you want to share? Second idea is fine but third is awesome. But using shorteners will never give

# Mathematical Logic – The basic introduction

What is Logic? If mathematics is regarded as a language, then logic is its grammar. In other words, logical precision has the same importance in mathematics as grammatical accuracy in a language. As linguistic grammar has sentences, statements— logic has them too. After we discuss about Sentence & Statements, we will proceed to further logical theories . Sentences & Statements A sentence is a collection of

# Fermat Numbers

Fermat Numbers, a class of numbers, are the integers of the form \$ F_n=2^{2^n} +1 \ \ n \ge 0\$ . For example: Putting \$ n := 0,1,2 \ldots\$ in \$ F_n=2^{2^n}\$ we get \$ F_0=3\$ , \$ F_1=5\$ , \$ F_2=17\$ , \$ F_3=257\$ etc. Fermat observed that all the integers \$ F_0, F_1, F_2, F_3, \ldots\$ were prime numbers and announced that \$ F_n\$

# Nanostory of Nanotechnology

This is a small story of Nanotechnology, one of the most advanced and trending topics in physics. Nanotechnology has become a widely discussed topic today in newspapers, magazines, journals, blogs and even in television ads. It’s very common that some organization announcing ‘yet another’ “nano-conference”. Nanotechnology or nanotech in short, refers to the technology of creating materials, devices and functions using atomically manipulated matter. If you didn’t

# Free PDF Algebra and Topology Books for Graduates

Looking for free PDF algebra and topology books online? I have gathered a list of free e-books on Algebra, Topology, and Related Mathematics. I hope it will be very helpful to all students and teachers searching for high-quality content. If any link is broken, please email me at gaurav@gauravtiwari.org. Let’s start. Abstract Algebra Online by Prof. Beachy This site contains many of the definitions and theorems from the area

# Jablonski Diagram – Consequences of Light Absorption

All about the Light Absorption’s theory on the basis of Jablonski diagram. According to the Grotthus – Draper Law of photo-chemical activation: Only that light which is absorbed by a system, can bring a photo-chemical change. However it is not true that all the kind of light(s) that are absorbed could bring a photo-chemical change. The absorption of light may result in a number of other phenomena as