- 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, but with addition - Mathematics Stack Exchange
Factorial, but with addition [duplicate] Ask Question Asked 11 years, 7 months ago Modified 5 years, 11 months ago
- 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?
- How to find the factorial of a fraction? - Mathematics Stack Exchange
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
- 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
- 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?
- Defining the factorial of a real number - Mathematics Stack Exchange
I'm curious, how is the factorial of a real number defined? Intuitively, it should be: x! = 0 if x ≤ 1 x! = ∞ if x> 1 Since it would be the product of all real numbers preceding it, however, when I plug π! into my calculator, I get an actual value: 7 18808272898 How is that value determined?
- Do factorials really grow faster than exponential functions?
Now what happens as n n gets much bigger than a a? In this case, when n n is huge, a a will have been near some number pretty early in the factorial sequence The exponential sequence is still being multiplied by that (relatively tiny) number at each step, while n! n! is being multiplied by n n
|