#3**+10 **

Mmm Thanks Pyramid, that is a really good question. One that I will have problems answering but here goes :)

If you graph y=x! (where x is a integer greater or equal to zero) you get a graph of points.

If you draw a smooth curve between these points so that the graph is continuous then you will have all positive values of x (x>=1) and all values of y (y>=1) included.

So now you can read 2.4! off the graph.

The gamma functions has values outside this domain as well but i don't understand it well enough to explain those.

I don't think my explanation is very accurate. But it probably gives you as much of an idea as I possess. :)

There is of course a proper formula for n! where n is not an integer but I am not going there. :/

http://en.wikipedia.org/wiki/Gamma_function

Any better explanation will be gratefully received. :)

Melody
Apr 7, 2015

#1**+5 **

Use gamma functions. This site http://mhtlab.uwaterloo.ca/courses/me755/web_chap1.pdf has an explanation, starting on page 7.

geno3141
Apr 7, 2015

#3**+10 **

Best Answer

Mmm Thanks Pyramid, that is a really good question. One that I will have problems answering but here goes :)

If you graph y=x! (where x is a integer greater or equal to zero) you get a graph of points.

If you draw a smooth curve between these points so that the graph is continuous then you will have all positive values of x (x>=1) and all values of y (y>=1) included.

So now you can read 2.4! off the graph.

The gamma functions has values outside this domain as well but i don't understand it well enough to explain those.

I don't think my explanation is very accurate. But it probably gives you as much of an idea as I possess. :)

There is of course a proper formula for n! where n is not an integer but I am not going there. :/

http://en.wikipedia.org/wiki/Gamma_function

Any better explanation will be gratefully received. :)

Melody
Apr 7, 2015