John Gietzen
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 Jul 23 asked What is the most efficient way to determine if a matrix is invertible? Jul 22 revised How can you prove that the square root of two is irrational? added 18 characters in body; edited tags; added 2 characters in body Jul 22 revised How are we able to calculate specific numbers in the Fibonacci Sequence? deleted 158 characters in body; deleted 2 characters in body Jul 22 comment How can you prove that the square root of two is irrational? Thanks! This is quite clear. Jul 22 accepted How can you prove that the square root of two is irrational? Jul 22 revised How can you prove that the square root of two is irrational? deleted 20 characters in body; edited tags Jul 22 awarded Scholar Jul 22 comment Is there a closed-form equation for $n!$? If not, why not? This is indeed the only possible correct answer, apparently: (from Wikipedia) There is, in fact, no such simple solution for factorials; any combination of sums, products, powers, exponential functions, or logarithms with a fixed number of terms will not suffice to express $n!$. Jul 22 accepted Is there a closed-form equation for $n!$? If not, why not? Jul 22 comment What is a real number (also rational, decimal, integer, natural, cardinal, ordinal…)? @Harry: No kidding? Read the comments. Jul 21 comment Is there a closed-form equation for $n!$? If not, why not? @Mgccl, indeed I did. I guess I was just assuming that multiplications on a modern PC is a single clock cycle. That breaks down when dealing with large enough factorials that it would matter, tho. Jul 21 awarded Commentator Jul 21 comment Is there a closed-form equation for $n!$? If not, why not? Really, I'm looking for something whose complexity to calculate is better than $O\left( n\right)$ Jul 21 revised Is $0.999999999… = 1$? deleted 24 characters in body; added 74 characters in body Jul 21 asked Is there a closed-form equation for $n!$? If not, why not? Jul 21 awarded Supporter Jul 21 comment Calculating the probability of two dice getting at least a $1$ or a $5$ @Pieces: if you want the TeX formatting to light up, I have created a GreaseMonkey script: userscripts.org/scripts/show/81977 Jul 21 comment Why does the series $\sum_{n=1}^\infty\frac1n$ not converge? Is there a closed-form function for this value? Jul 21 revised How are we able to calculate specific numbers in the Fibonacci Sequence? added 203 characters in body; deleted 35 characters in body; deleted 69 characters in body Jul 21 revised How can you prove that the square root of two is irrational? edited tags