|
- What does the factorial of a negative number signify?
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, 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?
- complex analysis - Why is $i! = 0. 498015668 - 0. 154949828i . . .
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?
- factorial - Why does 0! = 1? - Mathematics Stack Exchange
The theorem that $\binom {n} {k} = \frac {n!} {k! (n-k)!}$ already assumes $0!$ is defined to be $1$ Otherwise this would be restricted to $0 <k < n$ A reason that we do define $0!$ to be $1$ is so that we can cover those edge cases with the same formula, instead of having to treat them separately We treat binomial coefficients like $\binom {5} {6}$ separately already; the theorem assumes
- Factorial, but with addition - Mathematics Stack Exchange
Factorial, but with addition [duplicate] Ask Question Asked 12 years, 1 month ago Modified 6 years, 5 months ago
- Defining the factorial of a real number - Mathematics Stack Exchange
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
- Any shortcut to calculate factorial of a number (Without calculator or . . .
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
- An easier method to calculate factorials? - Mathematics Stack Exchange
To find the factorial of a number, n n, you need to multiply n n by every number that comes before it For example, if n = 4 n = 4, then n! = 24 n! = 24 since 4 ⋅ 3 ⋅ 2 ⋅ 1 = 24 4 3 2 1 = 24 However, this method is very time consuming and, as n n gets larger, this method also become more difficult, so is there an easier method that I can use to find the factorial of any number?
- How do we calculate factorials for numbers with decimal places?
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 we e
|
|
|