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Topic: Dad teaching math - and got confused about placing people in a circle
and (-1)!

Replies: 16   Last Post: Aug 13, 2014 7:23 PM

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 William Elliot Posts: 2,637 Registered: 1/8/12
Re: placing people in a circle and (-1)!
Posted: Aug 10, 2014 11:08 PM

On Sun, 10 Aug 2014, Peter Percival wrote:
> William Elliot wrote:
>

> > For added confusion, look up the Gamma function G, that's defined
> > for all real numbers except negative integers. For nonnegative integers n,
> > since G(n) = n!,

>
> Gamma(n) = (n - 1)!.

Indeed.

> > the gamma function is consider a generalization of
> > factorial. In particual, G(-1) = oo and G(1/2) = (1/2)! = sqr pi.

G(0) = +-oo = G(-n), n in N.

> [Dancing is] a perpendicular expression of a horizontal desire.

Are you going to take that lying down?