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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Every Weird Number Set Explained

The Extended Real Number Line The Hyperreal Numbers Increasing Dimensions: Why Not Three Components? Quaternions The Extended Real Number Line We all know and…

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Every Real Function Explained

Every Type of Mathematical Function Explained Linear Functions Quadratic Functions Polynomials of Degree n Rational Functions Radical Functions Exponential Functions Logarithmic Functions Trigonometric Functions…

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Every Scale used to Measure Natural Phenomena Explained

Hurricanes and the Saffir-Simpson Scale Earthquakes and the Richter Scale The Moment Magnitude Scale Tsunamis and the Imamura-Iida Scale Tornadoes and the Fujita-Pearson Scale…

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Every Proof that √2 is Irrational but they get increasingly more complex

Four Proofs That √2 Is Irrational Proof by Contradiction Prime Factorization Proof Infinite Descent Proof Reciprocal Proof Four Proofs That √2 Is Irrational The…

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Complex Geometry Puzzles Explained

Five Geometry Puzzles That Will Test Your Problem-Solving Skills Triangle and Five Rectangles Wood Piece Puzzle Inscribed Triangle Problem Wertheimer’s Car Riddle Shaded Area…

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