Latest ThoughtThrill Projects
Explore our collection of math presentations designed to spark your curiosity.
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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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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