Category: Visual Math
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Every Major Topic in Calculus Explained – Part 1
A Complete Walkthrough of Calculus What Is Calculus? Functions Limits Derivatives Derivative Rules Derivatives of All Six Trigonometric Functions A Real-Life Application of Derivatives A Complete Walkthrough of Calculus What Is Calculus? Calculus is the branch of mathematics involving the study of the continuous rate of change of quantities, particularly in the context of functions… read more
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Every Important Graph in Math Explained
Linear Graphs Quadratic Graphs Circles Ellipses Hyperbolas Sine and Cosine Exponential Functions Logarithmic Functions Linear Graphs A linear graph is a line-shaped graph that can be written as y = mx + b. Here, m is the slope: for every one unit you go to the right, you rise by m units. And b represents… read more
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Every Dark Scandal in Math
The Murder of Hypatia The Nobel Affair The Burning of the Library of Alexandria The MIT Card Counters in Las Vegas The Air Force Cheating Scandal André Bloch’s Murders P versus NP Alan Turing Newton and Leibniz’s Calculus Wars The Drowning of Hippasus Galois’s Duel and Death The Eudaemons Cardano versus Tartaglia Cantor Driven to… read more
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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, 3, and so on… 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 Wikimedia Commons When working… 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 Heisenberg’s Uncertainty Principle The… 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 by Edward H. Simpson… 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 the sphere packing problems.… 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 Constant (G) Pi (π)… 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 the product of two… read more
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