Category: Visual Math
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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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Pi Explained in 30 seconds π
Pi (π) is a fundamental mathematical constant that represents the ratio of a circle’s circumference to its diameter. It was first calculated by the ancient Greek mathematician Archimedes. Origin of the Symbol Discovery Applications Properties Origin of the Symbol The Greek letter π (pi) is the first letter of the Greek read more
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Greatest Math Theories Explained
Pythagorean Theorem Theory of Probability Calculus: Fundamental Theorem Theory of Relativity Game Theory Chaos Theory Number Theory: Prime Numbers Topology: Euler Characteristic Bayes’ Theorem Fermat’s Last Theorem Set Theory Graph Theory Fourier Transform Linear Algebra Complex Numbers Fractal Geometry Boolean Algebra Euclidean Geometry Non-Euclidean Geometry Logarithms and Exponentials Ring Theory Combinatorics read more
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Every Math Problem that Made Someone Famous (pt. 2)
Leonard Euler – Euler’s identity Rudolf Clausius – Second Law of Thermodynamics Marie Curie – Law of Radioactive Decay Daniel Bernoulli – Bernoulli’s Equation Ludwig Boltzmann – Entropy Equation James Juul – first law of thermodynamics Georg Ohm – Ohm’s law Johannes Kepler – Third Law of Planetary Motion Gaspard Gustave read more
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Every Logic Paradox Created by Mathematicians Explained
The Ring of Gyges by Plato The Hines dilemma The paradox of the ravens The liar paradox The Barber paradox Timestamps: The Ring of Gyges by Plato The Ring of Gyges is a thought experiment from Plato’s book, The Republic, written in 380 BC. This story tackles what happens to morality read more
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