John Gietzen
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 Jul22 revised How are we able to calculate specific numbers in the Fibonacci Sequence? deleted 158 characters in body; deleted 2 characters in body Jul22 comment How can you prove that the square root of two is irrational? Thanks! This is quite clear. Jul22 accepted How can you prove that the square root of two is irrational? Jul22 revised How can you prove that the square root of two is irrational? deleted 20 characters in body; edited tags Jul22 awarded Scholar Jul22 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 $n!$. Jul22 accepted Is there a closed-form equation for $n!$? If not, why not? Jul22 comment What is a real number (also rational, decimal, integer, natural, cardinal, ordinal…)? @Harry: No kidding? Read the comments. Jul21 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. Jul21 awarded Commentator Jul21 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 $O\left( n\right)$ Jul21 revised Is $.\overline{9} = 1$? deleted 24 characters in body; added 74 characters in body Jul21 asked Is there a closed-form equation for $n!$? If not, why not? Jul21 awarded Supporter Jul21 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 Jul21 comment Why does the series $\sum_{n=1}^\infty\frac1n$ not converge? Is there a closed-form function for this value? Jul21 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 Jul21 revised How can you prove that the square root of two is irrational? edited tags Jul20 comment Faulty logic when summing large integers? This problem is actually small enough to use a BigNum implementation, like BigInteger in .NET 4.0. Jul20 revised How can you prove that the square root of two is irrational? edited body; edited tags