I was playing with my calculator when i tried $1.5!$. Could you please show me any method that should do the trick. The gamma function also showed up several times as.
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It came out to be $1.32934038817$. Like $2!$ is $2\\times1$, but how do. Is 3628800 but how do i calculate it without using any sorts of calculator or calculate the.
A reason that we do define $0!$ to be.
It is a valid question to extend the factorial, a function with natural numbers as argument, to larger domains, like real or complex numbers. However, this page seems to be saying that you can take the factorial of a fraction, like, for instance, $\frac {1} {2}!$, which they claim is equal to $\frac {1} {2}\sqrt\pi$ due to something. However, there is a continuous variant of the factorial function called the gamma function, for which you can take derivatives and evaluate the derivative at integer values. I know what a factorial is, so what does it actually mean to take the factorial of a complex number?
But i'm wondering what i'd need to use. Now my question is that isn't factorial for natural numbers only? So, basically, factorial gives us the arrangements. Is there a notation for addition form of factorial?
= 5\times4\times3\times2\times1$$ that's pretty obvious.
Otherwise this would be restricted to $0 <k < n$. Also, are those parts of the complex answer rational or irrational? The theorem that $\binom {n} {k} = \frac {n!} {k!