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 …

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 …

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 …

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, …

Sep 10, 2020 · As I studied, I found factorials for positive reals and negative fractions. But the integral with which we define factorial falls flat on the negative integers. why is that we can find …

Apr 21, 2015 · Factorial, but with addition [duplicate] Ask Question Asked 11 years, 7 months ago Modified 5 years, 11 months ago

Jun 22, 2018 · In mathematics, the factorial of " a non-negative integer a non-negative integer " n n, denoted by n! n!, is the product of all positive integers less than or equal to n n.

Jun 5, 2021 · To find the factorial of a number, n, you need to multiply n by every number that comes before it. For example, if n = 4, then n! = 24 since 4 ⋅ 3 ⋅ 2 ⋅ 1 = 24. However, this …

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 …

Oct 28, 2024 · Each instance uses the principal root. It's generally accepted that the gamma function is "the" continuation of the factorial. But why? Analytic continuation doesn't really work …