So, basically, factorial gives us the arrangements. Now, the question is why do we need to know the factorial of a negative number?, let's say -5. How can we imagine that there are -5 seats, …

Possible Duplicate: Prove 0! = 1 0! = 1 from first principles Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product …

Oct 19, 2016 · I'm curious, how is the factorial of a real number defined? Intuitively, it should be: x! = 0 x! = 0 if x ≤ 1 x ≤ 1 x! = ∞ x! = ∞ if x> 1 x> 1 Since it would be the product of all real …

Apr 21, 2015 · Factorial, but with addition [duplicate] Ask Question Asked 12 years, 2 months ago Modified 6 years, 6 months ago

I was playing with my calculator when I tried $1.5!$. It came out to be $1.32934038817$. Now my question is that isn't factorial for natural numbers only? Like $2!$ is $2\\times1$, but how do …

And 0! = 1. However, this page seems to be saying that you can take the factorial of a fraction, like, for instance, 1 2!, which they claim is equal to 1 2√π due to something called the gamma …

He describes it precisely for the purpose of contrasting with the factorial function, and the name seems to be a play on words (term-inal rather than factor-ial).

Jun 29, 2015 · 12 I've been searching the internet for quite a while now to find anything useful that could help me to figure out how to calculate factorial of a certain number without using …

It is a valid question to extend the factorial, a function with natural numbers as argument, to larger domains, like real or complex numbers. The gamma function also showed up several times as …

Dec 14, 2025 · The efficiency was so insane that pre-dropping multiples of 5 ended up slowly things down drastically. So now that I have a good primorial module, if there are further …