
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 …
Defining the factorial of a real number - Mathematics Stack …
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 …
Factorial, but with addition - Mathematics Stack Exchange
Apr 21, 2015 · Factorial, but with addition [duplicate] Ask Question Asked 11 years, 6 months ago Modified 5 years, 10 months ago
What does the factorial of a negative number signify?
Nov 29, 2021 · 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 …
factorial - Why does 0! = 1? - Mathematics Stack Exchange
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 …
Any shortcut to calculate factorial of a number (Without calculator …
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 …
An easier method to calculate factorials? - Mathematics Stack …
Jun 5, 2021 · 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 …
Can the factorial function be written as a sum?
Jul 25, 2013 · Here's a good reference document from a few years back: Factorials as sums by Roberto Anglani and Margherita Barile. In this paper we give an additive representation of the …
Factorial number of digits - Mathematics Stack Exchange
Apr 25, 2012 · Is there any neat way to solve how many digits the number $20!$ have? I'm looking a solution which does not use computers, calculators nor log tables, just pen and paper.
Why is 0 factorial 1? - Mathematics Stack Exchange
n factorial is product of all numbers between n and 1. 0 factorial is (0 * 1 = 0). Why is 0 factorial 1? How can I proof this in mathematical way?