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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 $.\overline{9} = 1$?
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
Jul
20
comment Faulty logic when summing large integers?
This problem is actually small enough to use a BigNum implementation, like BigInteger in .NET 4.0.
Jul
20
revised How can you prove that the square root of two is irrational?
edited body; edited tags