Category: Visual Math
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Every Infinity Paradox Explained
Hilbert’s Hotel Cantor’s Diagonal Argument Thompson’s Lamp Gabriel’s Horn The Ross-Littlewood Paradox The Dartboard Paradox The St. Petersburg Paradox The Riemann Series Theorem Hilbert’s Hotel Hilbert’s Hotel is a thought experiment proposed by German mathematician David Hilbert in 1925. It involves a hotel with an infinite sequence of rooms: 1, 2, read more
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Every Blunder of Einstein
The Cosmological Constant and the Static Universe Black Holes and Singularities Clock Synchronization Gravitational Waves The Unified Theory of Everything The Equivalence Principle The Bending of Light Thermal Radiation and Quanta of Light The Einstein-de Haas Experiment Quantum Mechanics The Cosmological Constant and the Static Universe Cosmological constant. Public domain, via read more
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Every Equation in Math and Physics You Need to Know
Every Crucial Equation in Math and Physics Seventeen Equations That Built the Modern World The Pythagorean Theorem Logarithms Calculus The Law of Gravity The Square Root of −1 Euler’s Polyhedra Formula The Fourier Transform The Wave Equation Maxwell’s Equations The Second Law of Thermodynamics The Normal Distribution Relativity The Schrödinger Equation read more
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Every Weird Math Paradox Explained – Part 2
Simpson’s Paradox The Monty Hall Problem The Sleeping Beauty Problem Cantor’s Paradox The Ant on a Stretching Rope Berry’s Paradox The Absent-Minded Driver Hooper’s Paradox Bertrand’s Paradox Simpson’s Paradox Simpson’s Paradox is often presented as a compelling demonstration of why we need statistics education in our schools. It was first noted read more
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Every Unsolved Math problem that sounds Easy
The Kissing Number Problem The Goldbach Conjecture The Collatz Conjecture The Twin Prime Conjecture The Unknotting Problem The Enigma of π + e The Birch and Swinnerton-Dyer Conjecture The Riemann Hypothesis The Lonely Runner Conjecture Is γ Rational? The Kissing Number Problem A broad category of problems in math are called read more
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Every Important Math Constant Explained
Pi (π) Euler’s Number (e) The Imaginary Unit (i) Pythagoras’s Constant (√2) Theodorus’s Constant (√3) The Golden Ratio (φ) The Euler-Mascheroni Constant (γ) The First Feigenbaum Constant (δ) The Second Feigenbaum Constant (α) Apéry’s Constant (ζ(3)) Conway’s Constant (λ) Khinchin’s Constant (K) The Glaisher-Kinkelin Constant (A) Zero (0) Aleph-Null (ℵ₀) Catalan’s read more
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Every Unsolved Math Problem Explained
Notable Conjectures and Unsolved Problems in Mathematics Casas-Alvero Conjecture Riemann Hypothesis Navier–Stokes Existence and Smoothness Jacobian Conjecture Erdős–Oler Conjecture Gauss Circle Problem Kissing Number Problem Unequal Circle Packing Sendov’s Conjecture Tripod Packing Thomson Problem Levi–Hadwiger Conjecture Heesch Problem Kalai’s 3d Conjecture Casas-Alvero Conjecture If an integer k can be expressed as read more
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Every Forbidden Operation in Math Explained
Ever wondered why you cannot take the logarithm of zero? We are diving into every forbidden math operation that just does not play by the rules. Division by Zero Logarithm of Zero Negative Output of Absolute Value Zero to a Negative Exponent Multiplying Infinity by Zero Adding Scalars and Vectors Determinant read more
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Zeno’s Dichotomy Paradox Explained
Imagine you are about to clap your hands. But think about what has to happen first. Your right hand has to travel half the distance to your left. Then half of what remains. Then half again. And again. And again. This is an infinite number of steps. And infinity is not just “a lot.” Here, read more
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Every Weird Math Paradox Explained
The Hairy Ball Theorem The Dichotomy Paradox The Birthday Problem Gabriel’s Horn The Elevator Paradox The St. Petersburg Paradox Hilbert’s Hotel Russell’s Paradox The Banach-Tarski Paradox The Hairy Ball Theorem Hairy Ball Theorem. Public domain, via Wikimedia Commons Imagine a ball covered in hair, like a fuzzy tennis ball. The hairy read more
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