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Jun
27
comment an inequality for multiplication of cubic numbers
Try to put $a_i=2$ for all $i$ and see where that gets you …
Jun
26
comment Prove that $\det\left[A^{T}B-B^{T}A\right]=\det[A+B]\cdot\det\left[A-B\right]$
@HenningMakholm Good point.
Jun
26
answered Prove that $\det\left[A^{T}B-B^{T}A\right]=\det[A+B]\cdot\det\left[A-B\right]$
Jun
24
comment Show how one can decrypt RSA message with e = 3 and $m<N^{1/3}$ without knowing the private key
First question, yes. Then you seem to go off on a tangent. Computing $m$ when you know $m^3$ is easy, there is no need to try all possibilities. You can use a variant of Newton's method, just rounding each iterate to an integer as you go.
Jun
24
answered Show how one can decrypt RSA message with e = 3 and $m<N^{1/3}$ without knowing the private key
Jun
11
comment Formula for defining a curve
A cubic spline might be a better idea.
Jun
10
answered Split $\mathbb{N}$ into a countable union of countable sets.
Jun
9
answered Powers of powers. Is there a single interpretation of this notation
Jun
5
comment Boundary conditions of ODE are derivatives, constant falls out
Ups, you're right of course. I delete my silly comment. In my defense, I can only note that the number of distractions here was overwhelming. It seems that distracted mathematics is as dangerous as distracted driving.
Jun
5
revised Boundary conditions of ODE are derivatives, constant falls out
Improved formatting
Jun
5
answered Boundary conditions of ODE are derivatives, constant falls out
Jun
3
comment Finding an entire function $f$
It's been a while since I looked at several complex variables, but doesn't this require $U$ to be pseudoconvex?
May
28
answered Proving existence of Itō Integral
May
25
comment Integration by parts prove integral of cos^n x dx
To get started, write $\cos^n x$ as $\cos^{n-1}x\cdot\cos x$ and do some partial integration.
May
15
comment Show that $\sin(\mathcal{o}(x)) = \mathcal{o}(x)$ as $ x\to 0$
The mean value theorem works fine. In fact, the inequality $|\sin x|\le|x|$ is an immediate consequence of the mean value theorem applied to $\sin 0$ and $\sin x$.
May
15
comment Show that $\sin(\mathcal{o}(x)) = \mathcal{o}(x)$ as $ x\to 0$
You could use the relation $\cos(2x)=1-2\sin^2(x)$. And lo, you get $\cos(o(x))=1+o(x^2)$, which is even better.
May
15
answered Show that $\sin(\mathcal{o}(x)) = \mathcal{o}(x)$ as $ x\to 0$
May
11
answered Limit of square root where x approaches infinity