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Jan
29
comment Help with $\lim_{x\rightarrow +\infty} (x^2 - \sqrt{x^4 - x^2 + 1})$
You are welcome.
Jan
29
revised Proving that $\sin1 $(radian) is irrational without using Taylor Series Expansion.
edited tags
Jan
29
comment Proving that $\sin1 $(radian) is irrational without using Taylor Series Expansion.
btw, if it was $\sin 1^{\circ}$, the proof would be easy: $\sin 45^{\circ}$ is a polynomial in $\sin 1^{\circ}$ with rational (in fact, integer) coefficients! Since $\sin 45^{\circ}$ is irrational...
Jan
29
answered Proving that $\sin1 $(radian) is irrational without using Taylor Series Expansion.
Jan
29
revised Proving that $\sin1 $(radian) is irrational without using Taylor Series Expansion.
edited tags
Jan
29
comment Irrational numbers in reality
This is not a mathematical question. Seems like you found a bug around getting close votes by offering a bounty :-) I have flagged for migration to physics.se, so let's see.
Jan
27
comment Can't figure out $O(n \log n)$ divide-and-conquer algorithm
You could implement so it is $\Omega(n \log n)$ instead of $O(n)$ though...
Jan
27
revised Can't figure out $O(n \log n)$ divide-and-conquer algorithm
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Jan
27
comment Can't figure out $O(n \log n)$ divide-and-conquer algorithm
This is the famous maximum sum subarray problem...
Jan
27
answered Can't figure out $O(n \log n)$ divide-and-conquer algorithm
Jan
27
comment Why $\sum_{j=1}^mj^p \sim m^{p+1}$ as $n\to\infty$?
@Lionville: Ok, good to know you haven't ignored it completely :-)
Jan
27
comment How to proceed with the following integration?
Manish, this site has latex support using MathJax, please use it instead of posting image links. Here is a reference: meta.math.stackexchange.com/questions/5020/…
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?