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2d
comment If two different linear combinations of two random variables are Gaussian, can we deduct both of them are Gaussian.
What conditions are required? Linear independence? I realized I assumed that the random variables are linearly independent.
2d
answered If two different linear combinations of two random variables are Gaussian, can we deduct both of them are Gaussian.
May
25
comment Convergence of complex power series $z^{n!}$ at boundary
The last step uses uniform convergence, right?
May
15
answered Region bounded by $x=y^2$ and $x=y^3$
May
15
comment Does Fractional Calculus define the derivative over the Weirstrass Function?
I barely glanced at the paper but this is what I guess is the point. The weierstrass function is famously continuous everywhere but also undifferentiable everywhere. However, fractional calculus allows you to differentiate the function but you must use a fractional using a noninteger order up to some integer value. The reason is because the RL definition smooths things out with integration first. As for meaning of the actual derivative... I'd say it's just an integral transform.
May
14
answered $\sum a_n$ converges $\implies\ \sum a_n^2$ converges?
May
12
comment How to find expected angle between two randomly generated vectors?
You must mean vectors, right? Just two points don't define an angle.
May
8
comment For what values of $a$ the series $\sum \limits_{n=1}^{\infty} \frac{a^n}{n^\sqrt n}$ converges?
$a=1$ implies divergence.
May
5
comment Is there a probability distribution with mean $1$ such that $f(x)=\frac{1}{x}f\left(\frac{1}{x}\right)$
Calculus of variations with a lagrange multipler?
May
3
answered Show that $f_n(x)=\dfrac{1-(x/b)^n}{1+(a/x)^n}$ with $0<a<b,$ and $x \in [a,b]$ is not uniformly convergent
May
1
answered Prove that if $\sum_1^\infty a_n$ converges provided $a_n>0$ for all $n$, then $\sum_1^\infty \sqrt{a_na_{n+1}}$ converges too
May
1
comment Prove that a dynamical system $(X,T)$ is transitive and $X$ is finite then for any two points $x,y$ there is $n$ such that $T^n(x)=y$.
You need to clear up your question. It's not clear what $X$, $T$ or even transitive is in this question. Make it all much more precise.
Apr
30
comment Prove that a dynamical system $(X,T)$ is transitive and $X$ is finite then for any two points $x,y$ there is $n$ such that $T^n(x)=y$.
Looks like some application of the uniform boundedness principle.
Apr
30
comment What does $(m, n) = 1$ mean?
Well, $(n,m)=1$ clearly overrides the interval and pair cases.
Apr
30
comment What does $(m, n) = 1$ mean?
I prefer this notation over $\gcd(n,m)$, actually.
Apr
30
comment Find: $\int_0^{\infty}\frac{\sinh x}{1+\cosh^2x}dx$
Or substitute $e^x = t$ and use partial fractions.
Apr
29
answered How is $3$ not a primitive root mod 8?
Apr
25
comment Does Tom catch Jerry?
This looks like the Merchant Vessel Problem which you can find in Nahin's book Chases and Escapes.
Apr
25
revised How we can prove that $a_n=\sum _{k=1}^nf\left(k\right)-\int _0^n f(t)\:dt$ is convergent?
added 3 characters in body
Apr
25
revised How we can prove that $a_n=\sum _{k=1}^nf\left(k\right)-\int _0^n f(t)\:dt$ is convergent?
edited title