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Category: Math

link to The Banach-Tarski paradox: turning one sphere into two

The Banach-Tarski paradox: turning one sphere into two

In This Article The Impossible Made Possible The Catch: These Aren't Real Pieces The Secret Ingredient: The Axiom of Choice Why Your Intuition Breaks Down What This Means for Mathematics The Bigger...

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link to The normal distribution: why the bell curve is everywhere

The normal distribution: why the bell curve is everywhere

In This Article Why the Bell Curve Shows Up Everywhere The 68-95-99.7 Rule: Your Statistical GPS Z-Scores: Your Position on the Curve Real-World Applications That Shape Your Life When the Bell Curve...

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link to Limits in calculus: getting infinitely close without touching

Limits in calculus: getting infinitely close without touching

In This Article What Exactly Is a Limit? Why Limits Matter: The Foundation of Everything A Real Example: Solving the 0/0 Problem When Limits Blow Up: Infinity One-Sided Limits: Approaching From...

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link to Benford’s law: why fraud investigators count first digits

Benford’s law: why fraud investigators count first digits

In This Article The Psychology Behind Fake Numbers Why Nature Loves the Number One Real-World Fraud Busting When Benford's Law Fails The Elegant Mathematics of Fraud Detection Beyond Fraud:...

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link to The Collatz conjecture: the simplest problem nobody can solve

The Collatz conjecture: the simplest problem nobody can solve

In This Article The World's Most Accessible Unsolved Problem Why Your Computer Can't Save You The Chaos Hidden in Simple Rules Why the World's Smartest People Care The Beauty of Mathematical...

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link to Infinity comes in sizes: some infinities are bigger than others

Infinity comes in sizes: some infinities are bigger than others

In This Article The Infinity You Think You Know The Diagonal Argument That Broke Mathematics The Academic Warfare That Followed How Many Infinities Are There? Why This Matters Beyond Pure...

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