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Don't have much time these days...


May
5
answered Prove $(\dfrac{2}{5})^{\frac{2}{5}}<\ln{2}$
May
3
revised Find all functions $f$ that assign a real number $f(x)$ to every real number $x$ . . .
edited tags
May
3
revised Find all functions $f$ that assign a real number $f(x)$ to every real number $x$ . . .
added 56 characters in body
May
3
answered Find all functions $f$ that assign a real number $f(x)$ to every real number $x$ . . .
May
3
awarded  Nice Answer
May
3
comment is there a name for this function (parity of a finite sequence)?
@StefanSmith: When talking about the parity of a permutation, you obviously need to have the identity permutation in mind. All I am saying is that talking about the increasing is just a distraction. If Matlab can sort, and compute the sign of a permutation, it can do what you want.
May
3
revised a sequence $\{s_n\}$ with $\sum s_n$ convergent
rolled back to a previous revision
May
3
comment a sequence $\{s_n\}$ with $\sum s_n$ convergent
@Ultra3: Please don't change the question like that (after getting multiple answers). Ask a new one. I am rolling it back.
May
3
comment is there a name for this function (parity of a finite sequence)?
Isn't it just the sign of a permutation? (No idea about matlab). Also, the talk about increasing seems to be unnecessary. Replace each $x_i$ with the rank in the increasing order, and talk about the sign of that...
May
3
revised Solve $\sin(x)+2\sin(x)\cos(x)=\pi/4$
deleted 66 characters in body
May
3
comment Solve $\sin(x)+2\sin(x)\cos(x)=\pi/4$
@Ovi: $2 \sin x \cos x = \frac{\pi}{4} - \sin x$ and square it and use $\cos^2 x = 1 - \sin^2 x$. Actually, that is only one quartic!
May
3
comment Solve $\sin(x)+2\sin(x)\cos(x)=\pi/4$
@anorton: Solve by hand by computer :-)
May
3
answered Solve $\sin(x)+2\sin(x)\cos(x)=\pi/4$
May
3
revised Is $u_n\le(1-a)^n\forall n\in\mathbb{N}$?
edited tags
May
3
comment Ramanujan style nested differential Equation
How do you exactly define that repeated differential equation? If we cut-off at $n$, don't we get $y_n = n! \frac{d^n y_n}{dx^n}$?
May
2
revised Find the limit of $ x_n = \prod_{j=2}^{n} \left(1 - \frac{2}{j(j+1)}\right)^2$
edited tags; edited title
May
2
answered Is $u_n\le(1-a)^n\forall n\in\mathbb{N}$?
May
2
answered If $p$ be a prime and r be any integer, $0 < r < p$ then $\frac{(p-1)!}{r!(p-r)!}$ is an integer.
May
2
comment Express an even number as a sum of primes
Is it April $1^{\text{st}}$ again?
May
1
answered Asymptotic Approximation and Sign Convention