Question

Calculation of a Jacobian determinant

score 120 · Answer 1 · 2026-05-10 13:49:14

120

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Calculation of a Jacobian determinant

Published on 10 May 2026 - 13:49

score 1.8k · Answer 2 · 2026-04-19 13:02:40

1.8k

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Limit of $\frac{x^c-c^x}{x^x-c^c}$ as $x \rightarrow c$

Published on 19 Apr 2026 - 13:02

score 81 · Answer 3 · 2026-04-14 23:06:34

81

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If $f: \mathbb{R}^n \to \mathbb{R}^n$ is one-to-one, is the differential necessarily one-to-one?

Published on 14 Apr 2026 - 23:06

score 166 · Answer 4 · 2026-05-16 00:20:12

166

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Solving equations with Standard Normal CDF and PDF (Optimization)

Published on 16 May 2026 - 0:20

score 3k · Answer 5 · 2026-04-17 12:02:51

3k

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Relation between radian and complex function

Published on 17 Apr 2026 - 12:02

score 66 · Answer 6 · 2026-04-14 17:33:42

66

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Prove that $T$ is bounded and onto.

Published on 14 Apr 2026 - 17:33

score 943 · Answer 7 · 2026-05-11 05:26:51

943

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How to evaluate $\lim_{x \rightarrow \infty} \left(\left(\frac{x+1}{x-1}\right)^x -e^2\right){x}^2$

Published on 11 May 2026 - 5:26

score 93 · Answer 8 · 2026-04-16 02:40:12

93

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$\int_a^\infty f(x) \, dx$ converges $\Rightarrow$ $\lim_{x\to \infty}f(x)=0$

Published on 16 Apr 2026 - 2:40

score 125 · Answer 9 · 2026-04-13 14:37:32

125

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Exercise on a sequence of funcions $f_n\rightarrow f$ and Lebesgue Theorem.

Published on 13 Apr 2026 - 14:37

score 43 · Answer 10 · 2026-05-10 18:12:25

43

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First variation of coordinate transformation

Published on 10 May 2026 - 18:12

score 153 · Answer 11 · 2026-04-11 19:32:43

153

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Show given metric is equivalent

Published on 11 Apr 2026 - 19:32

score 2k · Answer 12 · 2026-04-15 14:50:34

2k

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Poincare (Wirtinger) Inequality vanishing on subset of boundary?

Published on 15 Apr 2026 - 14:50

score 104 · Answer 13 · 2026-04-17 01:23:29

104

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Prove that the sequence $f_{n}(x)=\arctan(x^{2n})$ converges in $\mathcal{D'}(\mathbb{R})$.

Published on 17 Apr 2026 - 1:23

score 153 · Answer 14 · 2026-04-15 21:13:02

153

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Use $\epsilon-\delta$ definition to prove that $\lim_{x\rightarrow c}f(x)=L$ if and only if $\lim_{x\rightarrow c}|f(x)-L|=0$

Published on 15 Apr 2026 - 21:13

score 1k · Answer 15 · 2026-05-11 02:20:09

1k

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Show that $(X,\|\cdot\|)$ is complete if and only if $(X,|\!|\!|\cdot|\!|\!|)$ is complete when both norms are equivalent.

Published on 11 May 2026 - 2:20

List Question

Calculation of a Jacobian determinant

Limit of $\frac{x^c-c^x}{x^x-c^c}$ as $x \rightarrow c$

If $f: \mathbb{R}^n \to \mathbb{R}^n$ is one-to-one, is the differential necessarily one-to-one?

Solving equations with Standard Normal CDF and PDF (Optimization)

Relation between radian and complex function

Prove that $T$ is bounded and onto.

How to evaluate $\lim_{x \rightarrow \infty} \left(\left(\frac{x+1}{x-1}\right)^x -e^2\right){x}^2$

$\int_a^\infty f(x) \, dx$ converges $\Rightarrow$ $\lim_{x\to \infty}f(x)=0$

Exercise on a sequence of funcions $f_n\rightarrow f$ and Lebesgue Theorem.

First variation of coordinate transformation

Show given metric is equivalent

Poincare (Wirtinger) Inequality vanishing on subset of boundary?

Prove that the sequence $f_{n}(x)=\arctan(x^{2n})$ converges in $\mathcal{D'}(\mathbb{R})$.

Use $\epsilon-\delta$ definition to prove that $\lim_{x\rightarrow c}f(x)=L$ if and only if $\lim_{x\rightarrow c}|f(x)-L|=0$

Show that $(X,\|\cdot\|)$ is complete if and only if $(X,|\!|\!|\cdot|\!|\!|)$ is complete when both norms are equivalent.

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