Why (½)! = √π/2 — The Strangest Factorial
Автор: DailyMathVisuals
Загружено: 2026-01-25
Просмотров: 2563
Описание:
📐 The Pantheon — Algebra Foundation Vol. 1
https://dailymathvisuals.lemonsqueezy...
What happens when you take the factorial of one half?
You can't multiply ½ × ... × 1. That makes no sense.
But mathematicians found a way — the Gamma function.
Here's the deep explanation:
• Why factorial counts arrangements
• How Gamma extends it to ALL numbers
• The Gaussian integral trick (squaring!)
• Why (½)! = Γ(3/2), not Γ(½)
• The beautiful result: √π/2 ≈ 0.8862
Most videos just state the answer. We explain WHY it works.
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#math #factorial #pi #gammafunction #calculus #stem #education #factorial
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