Every Polar Curve Explained

Polar curves are some of the most visually striking objects in mathematics. By expressing relationships in terms of distance and angle rather than horizontal…

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How Every Dimensions Actually Work (You Probably Didn’t Know)

Every Dimension Explained Zero Dimension (0D) One Dimension (1D) Second Dimension (2D) Third Dimension (3D) Fourth Dimension (4D Spacetime) Higher Dimensions in Mathematics Functional…

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Every Proof That There Are Infinitely Many Primes Explained

What Is a Prime Number? Euclid’s Proof Factorial Proof Erdős’s Proof What Is a Prime Number? Think of a natural number. That is, a…

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Every Particle in the Standard Model Explained

Fermions vs. Bosons In particle physics, all fundamental entities are divided into two categories: fermions and bosons. This distinction is based on spin, a…

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Every Proof That 0^0 is 1 but they get increasingly complex

Why Mathematicians Often Define 0⁰ as 1The Empty ProductCombinatorics and TuplesFunctions and the Empty SetFurther reading Why Mathematicians Often Define 0⁰ as 1 Throughout…

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Complex & Imaginary Numbers Explained

From Squaring to Square Roots The Imaginary Unit The Complex Plane Operations on Complex Numbers Polynomial Equations and Complex Roots A Brief History of…

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The Basic Math Iceberg Explained

The Math Iceberg Explained, Part 1 Counting Addition Subtraction Multiplication Division Equations Basic Geometry Order of Operations Decimals Factors Fractions Powers and Radicals Data…

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The Discovery of the Atom Explained (From Ancient Greece to Bohr)

The Ancient Idea of Atoms John Dalton and Chemical Ratios J. J. Thomson and the Electron Rutherford and the Gold Foil Experiment The Problem…

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Where the Quadratic Formula Actually Comes From (Derived Step by Step)

​ What Are Complex Numbers?A Note on the NamesSolving Quadratic Equations with Complex NumbersWorking with Imaginary SolutionsA Quick Aside on the Definition of iDeriving…

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