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Quote:
Originally posted by Bassman
I thought he was full of s*, too (no offense, man), so I googled and found,
http://mathworld.wolfram.com/Factorial.html
Check out (7).
AAAIAIAIAGH!!! INTEGRALS SCARY!!!! AIGH!!
Peace,
Bassman
Well I am always full of s* :D :D
I had to teach this stuff at one point to a bunch of engineering students who kept asking "why do we have to learn this". Lots of fun
Really the gamma function is a definite integral. But one thing is the factorial of a number and other thing the Gamma function of a number. And yes, for positive integers they are almost the same.
Gamma(x+1)=x!
?
The factorial of any complex number except for negative integers
IS defined. I for one do not argue with definitions. Instead I try to understand why they are useful.
Let me tell you that extensions of the familiar real valued functions with real domian into the complex plane is very useful.
Another example is the complex exponential which is the most important function in the universe.;)
I will not argue about this. I think this has gone off topic.Quote:
Originally posted by souldog
?
The factorial of any complex number except for negative integers
IS defined. I for one do not argue with definitions
(Taking the piss) What's there to argue about?
n! is defined as Gamma(n + 1) for all complex numbers > 0. For positive integers, n! is also defined as n * n-1 * n-2 * ... * 3 * 2.
And BTW, you were the one who asked for a definition from souldog, and now that you've got it, you're unhappy and the thread is 'off-topic'? Sheesh dude.
Peace,
Bassman
(a little grumpy today)
I didn't mean this as an arguement. I was simply trying to point out the correct way to approach mathematics.Quote:
Originally posted by Doctor Luz
I will not argue about this. I think this has gone off topic.
Not, I'm not unhappy.Quote:
Originally posted by Bassman
(Taking the piss) What's there to argue about?
n! is defined as Gamma(n + 1) for all complex numbers > 0. For positive integers, n! is also defined as n * n-1 * n-2 * ... * 3 * 2.
And BTW, you were the one who asked for a definition from souldog, and now that you've got it, you're unhappy and the thread is 'off-topic'? Sheesh dude.
Peace,
Bassman
(a little grumpy today)
OK, I wanted to say that the original question is about n! with integers, then there is no need to discuss in this thread about the "extended" factorial function. Only that!Quote:
Originally posted by souldog
I didn't mean this as an arguement. I was simply trying to point out the correct way to approach mathematics.
Doctor Luz said:
... and later ...Quote:
I never heard about a complex factorial.
Can you provide a definition? for example (a+bi)! with b!=0?
(flip/flop)Quote:
OK, I wanted to say that the original question is about n! with integers, then there is no need to discuss in this thread about the "extended" factorial function. Only that!
...
Bassman
(both grumpy and picky now)
Guys, what about letting this thread die in peace, without flamewar, hummm? Please?
Yeah, sorry, my fault - I shouldn't be such a boob. Like I said, I'm grumpy today. Stupid COM objects...
:)
Peace,
Bassman