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Jan
27
revised How to proceed with the following integration?
added 88 characters in body
Jan
27
revised Why $\sum_{j=1}^mj^p \sim m^{p+1}$ as $n\to\infty$?
added 101 characters in body
Jan
27
comment Calculating Euler's totient function values.
@Amad27: Once you solve this yourself (based on OohAah's comment), please add an answer and tick that.
Jan
27
comment Calculating $\sum_{k=0}^{n-1}\frac{1}{a+bk^2}$.
A closed form is unlikely, but you can try and use Euler-MacLaurin Summation formula, which is beyond algebra-precalculus.
Jan
27
answered Why $\sum_{j=1}^mj^p \sim m^{p+1}$ as $n\to\infty$?
Jan
27
revised Calculating Euler's totient function values.
edited tags
Jan
27
answered nth derivative of a troublesome function
Jan
27
comment Number of real roots of $2 \cos\left(\frac{x^2+x}{6}\right)=2^x+2^{-x}$
@mathamphetamines: The question is asking for the number of real roots. What prevents it from being 42 or infinity or etc?
Jan
27
revised Number of real roots of $2 \cos\left(\frac{x^2+x}{6}\right)=2^x+2^{-x}$
edited tags
Jan
27
revised Show that $n^4+4$ is not a prime number
edited tags
Jan
26
comment Remove minimal number of elements
Search the web for sum free subsets.
Jan
26
revised Prove, inequality ,positive numbers
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Jan
25
comment Seperating points in the complex plane
@MarkMcClure: Yeah, I guessed that (smiley and all :)). Just wanted to make you aware of that meta thread, that's all. There are reasons to post an answer instead of a comment, even if you think it is trivial etc. Sorry if my comment sounded like an accusation. It was not.
Jan
25
comment Relationship between increasing integer sequences
btw, using density arguments, the answer is probably yes.
Jan
25
comment Solve recurrence relation merge sort
What do you mean by "solve" exactly? Find out whether $a(n) = \Theta(n \log n)$? Or some exact formula etc?
Jan
25
comment Relationship between increasing integer sequences
Are you trying to prove the converse of Beatty's theorem?
Jan
25
comment Seperating points in the complex plane
@MarkMcClure: Why post an answer as a comment? Post it as an answer. user86418 is doing the right thing: meta.math.stackexchange.com/questions/1559/…
Jan
25
comment Why is this sum wrong?
@Redding: The example I gave you is a good example. But the simplest reason is that the theorems you use to justify taking individual limits only involve finite number of terms, independent of $n$. There are no such theorems when the number of terms is dependent on $n$.
Jan
25
answered Why is this sum wrong?
Jan
24
revised The Diophantine equation $x^2 + 2 = y^3$
edited tags