Tunnel through the Earth
Drop a ball through a tunnel drilled straight through Earth. It won't fall forever. It'll oscillate back and forth, popping…
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Drop a ball through a tunnel drilled straight through Earth. It won't fall forever. It'll oscillate back and forth, popping…
Euler discovered a simple formula that generates 40 consecutive prime numbers: n squared plus n plus 41. Plug in 0…
Ensembles in statistical physics are collections of macroscopically identical but essentially independent systems. I explain the three main types: microcanonical,…
This paper presents a statistical analysis of 20 years of meteorological data from the Pantnagar weather station in Uttarakhand, India.…
How do you prove a number is irrational? You can't check infinitely many decimal places. You need a proof. I…
The area of a disk is pi times radius squared. You memorized this in middle school. But do you know…
The triangle inequality sounds obvious. No side of a triangle can be longer than the other two sides combined. But…
India declared 2012 as the National Mathematical Year to celebrate Srinivasa Ramanujan's 125th birth anniversary. The government honored one of…
Dr. SMRH Moosavi has claimed to derive a general formula for finding the nth prime number. I present his claim,…
You can figure out what day of the week any date falls on. No calendar needed. Just arithmetic. I'll teach…
Equations are the reason we can solve problems in seconds that would take hours of guesswork. I cover the basics:…
Numbers are the alphabet of mathematics. But here's what most people never learn: all the complex numbers you encounter, from…