For a symmetric group of degree n, this function gives the order of the permutation group, and the Pochammer symbol is a rising type of this function. The Taylor approximation for e to the x contains this function in the denominator of each term. One approximation of it often used to calculate entropy is named after Stirling, while it can be generalized to complex numbers using the gamma function. For 10 points, identify this function which for a
For a symmetric group of degree n, this function gives the order of the permutation group, and the Pochammer symbol is a rising type of this function. The Taylor approximation for e to the x contains this function in the denominator of each term. One approximation of it often used to calculate entropy is named after Stirling, while it can be generalized to complex numbers using the gamma function. For 10 points, identify this function which for a natural number n gives the product of all natural numbers from 1 to n and is represented by an exclamation mark.
For a symmetric group of degree n, this function gives the order of the permutation group, and the Pochammer symbol is a rising type of this function.
factorial