Question

The following function is only continuous at one point. Is it differentiable at that point?

score 53 · Answer 1 · 2026-03-26 09:26:17

53

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The following function is only continuous at one point. Is it differentiable at that point?

Published on 26 Mar 2026 - 9:26

score 42 · Answer 2 · 2026-03-26 09:21:47

42

Views

If $ \big| \int^b_a f(t,x)- f(s,x)\,\, dx\big|\leq C(b-a)(t-s)$, then $|f(t, x) − f(s, x)| \leq C(t − s)$

Published on 26 Mar 2026 - 9:21

score 87 · Answer 3 · 2018-07-01 15:29:24

87

Views

Question on Perfect Numbers

Published on 01 Jul 2018 - 15:29

score 359 · Answer 4 · 2018-07-01 18:55:16

359

Views

Multivariable Mean Theorem for $\mathbb{R}^n\supset A\rightarrow \mathbb{R}^m$.

Published on 01 Jul 2018 - 18:55

score 416 · Answer 5 · 2026-03-25 03:01:12

416

Views

Differentiability of a determinant and its inverse

Published on 25 Mar 2026 - 3:01

score 32 · Answer 6 · 2026-03-30 15:30:52

32

Views

Why is it true that $\sum_{k=1}^{m-1} e(jk/m) = 0$ if $m$ does not divide $j$; and $m$ if $m$ does divide $j$?

Published on 30 Mar 2026 - 15:30

score 147 · Answer 7 · 2026-03-25 06:06:20

147

Views

For $Y\sim N(0,\sigma^2)$, find $\mathbb{E}(Y^n)$ for odd and even $n$ using the expectation of $G\sim \text{Gamma}(\alpha,\beta)$

Published on 25 Mar 2026 - 6:06

score 263 · Answer 8 · 2026-03-26 01:11:58

263

Views

$T$-invariance of $U$ is equivalent to $T^{*}$-invariance of $U^{\perp}$

Published on 26 Mar 2026 - 1:11

score 809 · Answer 9 · 2018-07-02 02:10:00

809

Views

Each natural number is equal to the set of all natural numbers less than it

Published on 02 Jul 2018 - 2:10

score 1.4k · Answer 10 · 2026-04-01 17:41:04

1.4k

Views

Nested Sequence of Closed Bounded Sets in a Complete Metric Space

Published on 01 Apr 2026 - 17:41

score 156 · Answer 11 · 2026-03-28 16:25:55

156

Views

If $X_i$ is a log-normal r.v., show $X=\prod_{i=1}^{n} X_i$ is also a log-normal r.v.

Published on 28 Mar 2026 - 16:25

score 100 · Answer 12 · 2026-03-25 12:55:01

100

Views

Find an orthonormal basis for a given basis and give its orthonormal projection

Published on 25 Mar 2026 - 12:55

score 485 · Answer 13 · 2026-03-27 01:53:39

485

Views

Should I finish How to Prove it by Velleman or any other proof technique book before starting Stephen Abbott's Understanding Analysis?

Published on 27 Mar 2026 - 1:53

score 1.1k · Answer 14 · 2018-07-02 15:33:25

1.1k

Views

Is my proof correct for $3\mid(2n^2+1) \text{ if and only if } 3 \nmid n$

Published on 02 Jul 2018 - 15:33

score 32 · Answer 15 · 2026-03-28 20:11:36

32

Views

Verifying my proof of relative compactness (Rudin's definitions)

Published on 28 Mar 2026 - 20:11

List Question

The following function is only continuous at one point. Is it differentiable at that point?

If $ \big| \int^b_a f(t,x)- f(s,x)\,\, dx\big|\leq C(b-a)(t-s)$, then $|f(t, x) − f(s, x)| \leq C(t − s)$

Question on Perfect Numbers

Multivariable Mean Theorem for $\mathbb{R}^n\supset A\rightarrow \mathbb{R}^m$.

Differentiability of a determinant and its inverse

Why is it true that $\sum_{k=1}^{m-1} e(jk/m) = 0$ if $m$ does not divide $j$; and $m$ if $m$ does divide $j$?

For $Y\sim N(0,\sigma^2)$, find $\mathbb{E}(Y^n)$ for odd and even $n$ using the expectation of $G\sim \text{Gamma}(\alpha,\beta)$

$T$-invariance of $U$ is equivalent to $T^{*}$-invariance of $U^{\perp}$

Each natural number is equal to the set of all natural numbers less than it

Nested Sequence of Closed Bounded Sets in a Complete Metric Space

If $X_i$ is a log-normal r.v., show $X=\prod_{i=1}^{n} X_i$ is also a log-normal r.v.

Find an orthonormal basis for a given basis and give its orthonormal projection

Should I finish How to Prove it by Velleman or any other proof technique book before starting Stephen Abbott's Understanding Analysis?

Is my proof correct for $3\mid(2n^2+1) \text{ if and only if } 3 \nmid n$

Verifying my proof of relative compactness (Rudin's definitions)

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