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  1. 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 …

  2. Factorial, but with addition - Mathematics Stack Exchange

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

  3. 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 …

  4. 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, …

  5. 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 1 …

  6. 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 …

  7. What is the practical application of factorials

    It is a valid question to extend the factorial, a function with natural numbers as argument, to larger domains, like real or complex numbers. The gamma function also showed up several times as …

  8. 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 if x ≤ 1 x! = ∞ if x> 1 Since it would be the product of all real numbers preceding it, …

  9. How to find the factorial of a fraction? - Mathematics Stack …

    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 …

  10. Why does the sum of the reciprocals of factorials converge to

    Dec 6, 2014 · I couldn't say much besides that the Γ Γ function, analytic continuation of the factorial, is defined with an integral involving e e. Then I also know that actually