We have it (and other great formulas) on our office walls here @mathsleedsuni!pic.twitter.com/RMrXbxfczD
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We have it (and other great formulas) on our office walls here @mathsleedsuni!pic.twitter.com/RMrXbxfczD
How did he discover that?!
Stirling's formula is the first approximation to the Stirling seriespic.twitter.com/8L2KMr7Ca9
That's such a beautiful equation man, the beauty in it so mesmerising.
I found the wiki page to be super informative: https://en.wikipedia.org/wiki/Stirling%27s_approximation …
This is a weird way of putting it. Any closed-form approximation formula can only use constants and operations. What's more, this approximation is expressible, even more economically, entirely in terms of n and ln (Big O notation doesn't count).pic.twitter.com/q0Tf1fOUZe
Still don't understand why he is doing this as the exact answer is easier to get than the approximation 

Computing n! needs n operations (O(n)), computing n^n needs ln(n) operations which is far better. Computing sqrt(2*pi*n) is also quite fast using Newton's method. In conclusion it's very usefull for computing with large n ans usefull in analysis
This is a representation of the goodness of the formula by plotting the exact vs. the approximated values (n=1...30)pic.twitter.com/sUhMVZ6wtw
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