Geometry
A Bird in the Hand is Worth…
..two in the hand?
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Applied Mathematics
The One-Sentence Proof in Multiple Sentences
Fermat’s theorem on sums of two squares had famously been proven in just one single sentence.
Analysis
A Curious Observation about Analytic and Harmonic Functions
Their zeroes have opposite properties
Electromagnetism
Electricity, Gravity and Statics
Electrogravitostatics
Applied Statistics
Will You Drown If You Swim After Eating Ice-Cream?
Do not get fooled by statistical quacks who mislead people using numbers and charts
Fourier
The Fourier Series
A Basic Overview & Visual Introduction To The Magic Of Waves
Optimization
How Fast is Too Fast? Optimizing Traffic Flow on Highways.
A mathematical approach.
History
The Great Purge of 1933
How Nazism Destroyed Science in Germany
Cryptography
Shannon Ciphers and Perfect Security
A Shannon cipher, named after mathematician Claude Shannon (1916–2001) is a simplified cipher mechanism for encrypting a message using a …
Mathematics
The Arithmetic-Geometric Mean Inequality
Suppose that x and y are non-negative real numbers, not necessarily distinct. The famous arithmetic-geometric mean inequality says that:
Physics
Is it time to retire Newton’s Gravitational Constant?
Mathematical operations that involve Newton’s gravitational constant are extremely counter intuitive at the subatomic level.
Quantum Mechanics
What is Wave-Particle Duality?
Why we need quantum physics.