Math and Physics

Some articles of interest, started on July 15, 2025, updated on August 27, 2025.

Here are some links to articles related to math and physics that looked interesting to me. I have not read most of them, and many are behind paywalls. 

If you have other suggestions, or if I am sharing information without giving proper credit, or providing information that should not be shared, please let me know.

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Math, Revealed: Bowling for Nobels. How a centuries-old math puzzle helped us see inside the human brain. Steven Strogatz, The New York Times, June 30, 2025.

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Math, Revealed: Let’s Get Packing! How bees, beer cans and big data all solve the same problem: not enough space. Steven Strogatz, The New York Times, June 23, 2025.

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Math, Revealed: Navel Gazing and the Golden Ratio. What an apple, a pentagram and a belly button have in common. Steven Strogatz, The New York Times, June 16, 2025.

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Math, Revealed: Taxicab Geometry. Welcome to a city where pi equals 4 and circles aren’t round. Steven Strogatz, The New York Times, June 9, 2025.

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What Is the √i ? The imaginary unit i is equal to the √-1. Here’s a step-by-step visual guide to solving for its square root. Harlan Brothers, Medium, August 21, 2025.

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Long-Range Walk Between Order and Chaos. How Dipolar Interactions Turn Quasicrystals Into Laboratories for Exotic Localization. Paolo Molignini, Medium, August 13, 2025.

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The Instruction Manual for Quantum Systems. All You Need to Know About the Schrödinger Equation. Paolo Molignini, Medium, August 4, 2025.

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Breakthrough Proof Brings Mathematics Closer to a Grand Unified Theory after More Than 50 Years of Work. The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore. Ananyo Bhattacharya & Nature magazine, Scientific American, July 21, 2025.

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Why on Earth Does 0!=1? Here are several ways to make sense of this unintuitive fact. Harlan Brothers, Medium, July 8, 2025.

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Physics Made Easy — Demystifying the Euler Lagrange Equation. Ameh Emmanuel Sunday, Medium, June 27, 2025.

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Random Variables & Probability Distributions explained. Intuition, Basic Math & application in AI/M. Allohvk, Medium, June 20, 2025.

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Probability distributions — A deeper look. Intuition, basic Math & application in models like Stable diffusion & GMM clustering. This is Part II of Random Variables & Prob Distributions. Allohvk, Medium, July 11, 2025.

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A deep dive into vector spaces: The essence and core meaning of Eigenvalues, Eigenvectors and the Eigendecomposition. Ameh Emmanuel Sunday, Medium, May 26, 2025.

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Hooked on e. How a number can change your life. Harlan Brothers, Medium Science Spectrum, May 20, 2025.

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Weird but True: i^i Is a Real Number. A step-by-step explanation of why the imaginary unit raised to an imaginary power is a real number. Harlan Brothers, Medium, May 13, 2025.

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A Visual Understanding of Neural Networks. The math behind neural networks visually explained. Reza Bagheri, Medium, Jan. 11, 2025.

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