Wednesday, March 27, 2019

What is the factorial of a non-integer like 1/2 ? This problem deserves animation

Can a non-integer have a factorial?

Presh Talwakar (of “Mind Your Decisions”) uses inductive reasoning, in a nice animated video using a Texas Instruments Calculator (so common in AP calculus classes) to show how a continuous factorial function would behave.

It turns out to be the gamma function, where it turns out to be the sqrt(pi)/2.

The function is important in quantum physics. 

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