Ted Gast

This means the world.🥹 Historic 9th slalom globe + 9/10 season slalom wins + Olympic slalom gold + 17th globe 📈… …pinch me

It doesn't matter how beautiful your theory is, it doesn't matter how smart you are. If it doesn't agree with experiment, it's wrong. — Richard P. Feynman

Gaussian Integral It reveals how a smooth, bell-shaped curve hides a surprisingly exact result when stretched across all space. Imagine a gentle hill that rises at the center and fades perfectly toward zero as you move away in either direction.

Évariste Galois developed a completely new way to understand equations, laying the groundwork for what would later become group theory which is a cornerstone of modern mathematics. He thought differently from anyone around him, seeing patterns and structures in algebra that others could not even imagine. Tragically, his life was cut short at just 20. On the night before a duel that would take his life, he feverishly wrote letters detailing many of his groundbreaking ideas, determined to preserve them for the world. Despite his brief life, Galois’ insights revolutionized mathematics and continue to influence the field to this day. (📷Évariste Galois at age of 15)

Welcome, to St. Louis 🫶

Ever wondered why gold is yellow? The answer is Einstein’s Special Relativity. In Gold (Atomic Number 79), the nucleus is so massive & packed with protons that the inner electrons have to orbit at incredible speeds (~58% the speed of light) just to avoid crashing into the center. At these relativistic speeds, the electrons gain mass (according to E=mc^2). This mass increase shifts the energy levels of the electron sea. Cos of this relativistic contraction, Gold's electrons become better at absorbing blue & violet light, rather than reflecting them. Since the blue is stolen by the atoms, the light that bounces back to our eye is shifted toward the yellow/red end of the spectrum.

Gauss calculated 100,000 primes by hand just to find out that they behave like random noise. Terence Tao breaks down why this "statistical accident" is actually the most important discovery in number theory. If you think math is all about rigid rules, wait until you hear about the randomness of primes. Credit: dwarkeshpodcast

The Laplace Transform is a powerful mathematical tool used to transform functions from the time domain into the complex frequency domain. It is widely applied in engineering, physics, and differential equations. The concept is named after the French mathematician Pierre-Simon Laplace (1749–1827), who introduced and developed this transformation in the late 18th and early 19th centuries. Laplace used this method as part of his broader work in probability theory and celestial mechanics. The Laplace Transform is defined as an integral that converts a time-dependent function f(t)f(t)f(t) into a function F(s)F(s)F(s), where sss is a complex number. This transformation simplifies many mathematical problems, especially linear differential equations, by turning them into algebraic equations that are easier to solve. Although Laplace formalized the method, similar ideas had been explored earlier by mathematicians like Leonhard Euler. However, Laplace was the one who systematically applied it and demonstrated its usefulness in physics and engineering. In the 19th and 20th centuries, the Laplace Transform became a standard tool in solving problems related to electrical circuits, control systems, and signal processing. Engineers use it to analyze system behavior, especially in systems involving inputs and outputs over time.

An ancient artifact from a more civilized time.

Würzburg, Germany 🇩🇪

Small objects can show that gravity is real. The Cavendish experiment proved that even tiny masses pull on each other, showing gravity works everywhere, not just between planets.