Ever wondered what the factorial of a non-integer like 1.5 is? In this video, we explore how the gamma function extends the factorial concept to non-integers using smooth curves, recursion, and integration. Learn how the gamma function connects to factorials, pi, and mathematical properties used in physics, probability, and calculus.
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Contents
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00:00 - Intro
01:02 - Intuition
02:14 - Derivation
03:35 - Definition
04:08 - Verification
05:02 - Outro
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