Integral definition of factorial - Physics Forums
Jun 14, 2014 · I'm watching V. Balakrishnan's video lectures on Classical Physics, and right now he's going through statistical mechanics. In that regards he's talking about Stirlings formula, and at one …
Why is There No Inverse Factorial Function? - Physics Forums
Oct 29, 2014 · Why exactly is there no such thing as an inverse factorial function? Now I am fully aware of the fact that the factorial function (##f(x) = x!##) is not one-to-one, since both 0! and 1! equal 1. …
Is infinity factorial equal to the square root of 2 pi?
Feb 13, 2013 · Is infinity factorial equal to the square root of 2 pi? ShayanJ Feb 13, 2013 Factorial Infinity Click For Summary
Is there a new way to calculate derivatives of factorials?
Jun 14, 2011 · I think I have found a formula for finding Successive derivatives of factorials, though it may have been found already. I have attached it to this post.
A googolplex expressed in factorial form? • Physics Forums
Feb 6, 2016 · Does anybody know what the factorial form of a googolplex would be?
Square of n factorial is greater than n to the power n
Sep 22, 2004 · Hi I need some help figuring out how to do this problem: Prove that for every natural number n, (n!)^ {2} > n^n By rewriting this as...
Relationship between factorials and squares of natural numbers
Jan 20, 2022 · Was fooling around and wrote down these two equations today that appear to work. I'm not all that bright and I'm positive these either have some proof or restate some conjecture--probably …
How Does x! Compare in Growth to x^2, 2^x, and x^x? - Physics Forums
Jun 11, 2013 · I was wondering how fast x! grows as it approaches infinity as compared to x2, 2x, and xx. The last one was fairly obvious since x*x*x*x... > x(x-1)(x-2)(x-3)... But I can't figure out a way to …
Understanding Why ln (x) and e Cancel Out • Physics Forums
Aug 4, 2012 · Hi, I have a hard time understanding why ln (x) and e cancel out, when, for example, we have something like: eln(2x+3) I tried an internet search but I did not get any good explanation, just …
User Lee Mosher - MathOverflow
Jun 12, 2012 · Repeatedly taking differences on a polynomial yields the factorial of its degree?