- 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, 6 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?
- 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?
- 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
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