Every Weird Measurement System Explained

One of the oldest surviving documents is an ancient Mesopotamian tablet that details a complaint by a customer who was sold 1,080 pounds of…

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Every Trigonometric Curve Explained

When describing trigonometric functions, it’s necessary to talk about concepts such as radians, sexagesimal degrees, and gradians. Radians Sexagesimal Degrees Gradians Converting Angles Transcendental…

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Every Coordinate System Explained

Cartesian Coordinate System The Cartesian Plane in Two Dimensions Slope of a Line Equations of Lines Vectors Conic Sections Three-Dimensional Cartesian Plane Quadric Surfaces…

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The 3 Tests That Make or Break an Infinite Series

If you’re into mathematics, you may have heard of an operation called addition, where you simply combine two values together. Summation is the addition…

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Fibonacci and the Birth of Modern Math

Leonardo de Pisa Fundamentally Changed Math Discovering the Fibonacci Series Ancient Indian Discoveries in Sanskrit Texts The Golden Number (Phi, φ) The Golden Spiral…

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Every Binary Operation and Logic Gate Explained

The binary system is the foundation of all computing. Without it, there would be no computers, cell phones, internet, or modern technology as we…

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Every Method to Complete the Square Explained

Completing the Square: Why It’s Actually About Squares If you’ve ever taken an algebra class, you’ve probably been asked to solve for x. Before…

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Every Non-Newtonian Fluid Explained

What Is a Non-Newtonian Fluid?Time-Independent Non-Newtonian FluidsTime-Dependent Non-Newtonian FluidsThe Mathematical ChallengeRheological ModelsReal-World Applications and Open Problems What Is a Non-Newtonian Fluid? A non-Newtonian fluid…

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The Fastest Way to Travel is not a Straight Line

What Is the Brachistochrone?The ChallengeThe Calculus of VariationsDeriving the SolutionThe Cycloid What Is the Brachistochrone? One of the most fascinating problems in the history…

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