Euler’s (Prime to) Prime Generating Equation
Leonhard Euler discovered something that shouldn’t work. A simple formula that spits out prime numbers. Not just a few of them. Forty consecutive primes from a single quadratic equation. The…
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Statistical Physics: Ensembles
Ensembles in Chemical Sciences and Statistical Physics are a collection of a number of macroscopically identical but essentially independent systems. The System, here, is defined by the collection of a…
Analysis of Meteorological Data of Pantnagar Weather Station
This paper presents a statistical analysis of 20 years of meteorological data (1989-2008) from the Pantnagar weather station in Uttarakhand, India. The research was conducted under the INSPIRE-SHE Scholarship Program,…
Introduction to Object Oriented Ontology
This introductory guide to Object Oriented Ontology is an on-going collection of central theses and surrounding debates. If you’d like to submit a text, blog, or discussion thread that you…
Irrational Numbers and The Proofs of their Irrationality
How do you prove a number is irrational? You can’t just look at a number and declare it irrational. You can’t check infinitely many decimal places. You need a proof.…
The Area of a Disk
The area of a disk with radius \( R \) is \( \pi R^2 \). You probably memorized this in middle school. But do you know why it’s true? Most…
Triangle Inequality
The triangle inequality is one of those results that sounds obvious until you try to prove it rigorously. Here’s the geometric intuition: no side of a triangle can be longer…
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…
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…
Find the Day of a Date using this Calendar Formula
You can figure out what day of the week any date falls on. No calendar needed. Just arithmetic. I’m not talking about memorizing tricks or using apps. I mean a…
Equations: A Basic Introduction
Math teachers love to say “let x equal the unknown.” But nobody explains why that simple trick is so powerful. Here’s the thing: equations are the reason we can solve…
WordPress URL Shortening: The Complete Guide to Native and Third-Party Solutions
Long URLs are a pain. You’re trying to share a link on Twitter, paste it into an email, or mention it in a podcast, and you’re stuck with something like…