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May
28
comment Infinite cyclic group generated by every single element?
@DavideGiraudo: that is not generally true, for example in $\mathbb{Z}/3\mathbb{Z}$.
May
28
comment Convergence or divergence of $ u_{n}=\left(\sum\limits_{k=1}^n e^{\frac{1}{k+n}}\right)-n$
Is it $\left[\sum_{k=1}^n e^{\frac{1}{k+n}}\right]-n$ or $\sum_{k=1}^n \left[e^{\frac{1}{k+n}}-n\right]$?
May
28
comment How to solve this expression??
this answer would be useful if you used latex
May
28
comment Resources for learning measure theory
This is a pretty vague question: what were your problems with Billingsley's?
May
27
comment Unbiased estimators
Oops, what I meant, of course, was that any /estimator/ of $\theta$ is a function of $X$.
May
27
comment Unbiased estimators
Just a suggestion, I haven't checked if it works: $\theta$ is a function of $X$. Let $\hat \theta$ and $\tilde \theta$ be two estimators of $\theta$, and enumerate $X$ ($\hat \theta$ and $\tilde \theta$ have unique values for all 3 possible X).
May
25
comment Evaluating a double integral
@Dostre I doubt it - you say you want to integrate $\int_x^x f(x)dx$, or something similar.
May
24
comment Good Physical Demonstrations of Abstract Mathematics
Perhaps it is continuous from the Navier-Stokes perspective?
May
24
comment What is a Number Theorist
Then feel free to try some of the answers - but I think you're grossly missing the point in that case. Standard high school education doesn't teach you real mathematics.
May
23
comment What is a Number Theorist
Thanks - I notice that many math friends mistake the general public for understanding what it is that mathematicians do.
May
23
comment How to show that $\frac{\pi}{5}\leq\int_0^1 x^x\,dx\leq\frac{\pi}{4}$
Aha! But the question is not to evaluate the integral explicitly, which indeed is impossible in standard functions, but to prove the inequality, which I admit is pretty hard too, but not impossible.
May
20
comment Convergence of series based on convergence of sequence
More precisely, the $C_i$ depend on $n$.
May
20
comment Convergence of series based on convergence of sequence
That's a recursive argument - what's $C_i$?
May
20
comment Convergence of series based on convergence of sequence
I'd like a more formal proof - how do I pick $N$ such that $|\sum_{i=0}^n q^i t_{n-i}|<\epsilon$ for all $n\geq N$?
May
20
comment Convergence of series based on convergence of sequence
Okay, so what is a suitable large $n$?
May
20
comment Convergence of series based on convergence of sequence
@Phira: please illustrate - I have tried that approach to no avail.
May
20
comment Convergence of series based on convergence of sequence
Oops, I forgot to add the $\lim$. See edit. @Brett: like how?
Apr
28
comment Evaluating $\int_a^{\infty} x e^{-(x-a)} dx$
Great. So now what?
Apr
23
comment Undergrad Student Trying to Figure Out What to Study
Wait, is this as vague as I think it is? :P That said, you should probably pursue what you're good at, because that's usually an indicator you like doing it.
Apr
19
comment Integral metric.
Isn't this exactly how we construct a Hilber space?