According to a Donald Knuth [k'-NOOTH] conjecture, this function along with the square root and floor functions and the number 3 can generate any natural number.
According to a Donald Knuth [k'-NOOTH] conjecture, this function along with the square root and floor functions and the number 3 can generate any natural number. The Pochhammer [POHK-hah-mer] Symbol is used to represent its rising or falling types. A horizontal shift changes this function into the integral of t to the x minus one power times e to the negative t power dt, which is the gamma function. This function appears in the denominators of Taylor series terms, and two of these functions are divided to evaluate permutations. Give this function equal to the product of all natural numbers up to and including its input, represented by an exclamation point.
According to a Donald Knuth [k'-NOOTH] conjecture, this function along with the square root and floor functions and the number 3 can generate any natural number.
factorial