Factorial Of 11. Jun 29, 2015 · 12 I've been searching the internet for quite a
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 calculator but no luck whatsoever. It came out to be $1. 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. . Moreover, they start getting the factorial of negative numbers, like −1 2! = π−−√ 1 2! = π How is this possible? What is the definition of the factorial of a fraction? What about negative numbers? I tried researching it on Wikipedia and such, but there doesn't seem to be a clear-cut answer. Now my question is that isn't factorial for natural numbers only? Like $2!$ is $2\\times1$, but how do we e It is a valid question to extend the factorial, a function with natural numbers as argument, to larger domains, like real or complex numbers. 32934038817$. Now, the question is why do we need to know the factorial of a negative number?, let's say -5. So, basically, factorial gives us the arrangements. Oct 19, 2016 · Some theorems that suggest that the Gamma Function is the "right" extension of the factorial to the complex plane are the Bohr–Mollerup theorem and the Wielandt theorem. 5!$. 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 gamma function also showed up several times as certain integrals, so mathematicians gave it a name and of course noted the relationship to factorials. So, basically, factorial gives us the arrangements. The product of 0 and anything is 0 0, and seems like it would be reasonable to assume that 0! = 0 0! = 0. See the graph at the end of this posting. I'm perplexed as to why I have to account for this condition in my factorial function (Trying to learn Apr 21, 2015 · Factorial, but with addition [duplicate] Ask Question Asked 12 years, 1 month ago Modified 6 years, 5 months ago Why is this? I know what a factorial is, so what does it actually mean to take the factorial of a complex number? Also, are those parts of the complex answer rational or irrational? Do complex factorials give rise to any interesting geometric shapes/curves on the complex plane? I was playing with my calculator when I tried $1. How can we imagine that there are -5 seats, and we need to arrange it? Something, which doesn't exist shouldn't have an arrangement right? Can someone please throw some light on it?.