network profile
| bio | website | |
|---|---|---|
| location | Vancouver, Canada | |
| age | 22 | |
| visits | member for | 3 months |
| seen | May 11 at 7:15 | |
| stats | profile views | 166 |
If only... and only if...
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Mar 27 |
answered | Let $\{X_n\}$ be i.i.d integrable r.v.s, show that $\frac{1}{n}\max_{1\leq j\leq n}|X_j|\to 0 \quad \mbox{a.e.}$ |
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Mar 24 |
answered | Solving linear recurrence relation |
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Mar 24 |
comment |
sigma algebra problem @Nenghuan Zhang That's a good question, check by definition. |
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Mar 24 |
answered | Compute $\lim_{x \to 0+} x^{-1/2}f(x)$ and $\lim_{x \to 0+} x^{-2/3}f(x)$ |
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Mar 24 |
revised |
sigma algebra problem added 23 characters in body |
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Mar 24 |
answered | sigma algebra problem |
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Mar 23 |
comment |
If $f_k \to 0$ a.e. and $\sum_n n 2^n \mu\{|f_k| \in (2^{n-1}, 2^n]\} \leq 1$ for all $k$, then $\int f_k \to 0$. Can you prove that $\sum_{n=1}^{\infty}\int_{E_{k_n}}f_k \to 0$ by hypothesis? And $\int_{|f_k|\le 1}f_k \to 0$ by DCT? |
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Mar 23 |
answered | Hahn Banach Theorem problem |
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Mar 23 |
comment |
Hahn Banach Theorem problem You need a sublinear function to control $\phi$, i.e why $\phi$ is bounded? |
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Mar 22 |
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How many times should I draw with replacement? @nispio Sorry, you are quite right that I made a big mistake here. You need refer to combinatorics, and I'm sure this can be solved using theorems in that area. |
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Mar 20 |
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Do the sequences from the ratio and root tests converge to the same limit? I would appreciate it if you could edit my answer in a better and clearer way. |
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Mar 20 |
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Do the sequences from the ratio and root tests converge to the same limit? That is an exercise, check by definition using the $\epsilon$ and $N$ language. |
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Mar 20 |
revised |
Do the sequences from the ratio and root tests converge to the same limit? added 2 characters in body |
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Mar 20 |
comment |
Do the sequences from the ratio and root tests converge to the same limit? @DonAntonio Do you believe the limit is also $L$? Since $a_n=a_0\cdot\prod_{k=1}^{k=n}\frac{a_k}{a_{k-1}}$, and $\lim_{n->\infty}\frac{a_n}{a_n-1}=L$. |
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Mar 20 |
answered | Do the sequences from the ratio and root tests converge to the same limit? |
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Mar 16 |
awarded | Enthusiast |
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Mar 11 |
awarded | Supporter |
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Mar 11 |
comment |
$C^\infty(R^n)$ is a Banach Space when equipped with topology of uniform convergence @Quickbeam2k1 That's OK, no need to upvote it. Actually I was also confused about the "$C^{\infty}$"at first sight. |
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Mar 11 |
comment |
$C^\infty(R^n)$ is a Banach Space when equipped with topology of uniform convergence @Quickbeam2k1 Cann't you see that "$C^{\infty}$" discussed here is a space of continuous functions, rather than smooth functions which is generally understood in analysis? |
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Mar 10 |
answered | Three “Find the limit” Problems |
