Question

Conditions on a Lipschitz function $f:U\subset \Bbb R^m\to \Bbb R^n$ which guarantees differentiability at a point $a\in U$

score 467 · Answer 1 · 2026-04-06 02:40:43

467

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Conditions on a Lipschitz function $f:U\subset \Bbb R^m\to \Bbb R^n$ which guarantees differentiability at a point $a\in U$

Published on 06 Apr 2026 - 2:40

score 171 · Answer 2 · 2026-04-10 04:41:51

171

Views

How to determine the integration boundaries of the following double integral?

Published on 10 Apr 2026 - 4:41

score 133 · Answer 3 · 2026-04-08 21:56:42

133

Views

Evaluating the improper double integral $\int_{D} \frac{dxdy}{\sqrt{1-a\cdot x-b\cdot y}}$

Published on 08 Apr 2026 - 21:56

score 29 · Answer 4 · 2026-03-22 10:44:33

29

Views

Boundness type property of homogenous functions in $\mathbb{R}^n$

Published on 22 Mar 2026 - 10:44

score 150 · Answer 5 · 2026-03-22 01:26:12

150

Views

Is this a case of the extended Riemann integral?

Published on 22 Mar 2026 - 1:26

score 924 · Answer 6 · 2026-04-09 13:38:23

924

Views

Supremum of the operator norm of Jacobian matrix

Published on 09 Apr 2026 - 13:38

score 330 · Answer 7 · 2026-04-06 02:38:40

330

Views

prove the function is increasing in $x$ and decreasing in $y$

Published on 06 Apr 2026 - 2:38

score 572 · Answer 8 · 2026-04-08 22:24:46

572

Views

Is it possible to construct the equation of a surface from its line element?

Published on 08 Apr 2026 - 22:24

score 465 · Answer 9 · 2026-03-21 17:39:22

465

Views

Use Stokes' Theorem to evaluate line integral

Published on 21 Mar 2026 - 17:39

score 1.6k · Answer 10 · 2026-04-09 00:08:06

1.6k

Views

Arc length of curve of intersection between cylinder and sphere

Published on 09 Apr 2026 - 0:08

score 1.9k · Answer 11 · 2026-04-06 02:38:03

1.9k

Views

Area of a spherical rectangle

Published on 06 Apr 2026 - 2:38

score 158 · Answer 12 · 2026-03-22 14:14:26

158

Views

If $f$ is differentiable in $x_0$ and $f$ reaches a local maximum in $x_0$ then $\nabla f(x_0)=0$

Published on 22 Mar 2026 - 14:14

score 590 · Answer 13 · 2026-04-06 14:52:53

590

Views

Example 3 - Section 5.5.2 - Partial Differential Equations by Evans

Published on 06 Apr 2026 - 14:52

score 82 · Answer 14 · 2026-04-09 02:55:49

82

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Describe the singularity of $\frac{xy}{x^2 + y^2}$ near $(x,y) = (0,0)$

Published on 09 Apr 2026 - 2:55

score 1k · Answer 15 · 2026-04-07 23:53:32

1k

Views

Is complex analysis same difficulty as vector analysis/multivariable calculus?

Published on 07 Apr 2026 - 23:53

List Question

Conditions on a Lipschitz function $f:U\subset \Bbb R^m\to \Bbb R^n$ which guarantees differentiability at a point $a\in U$

How to determine the integration boundaries of the following double integral?

Evaluating the improper double integral $\int_{D} \frac{dxdy}{\sqrt{1-a\cdot x-b\cdot y}}$

Boundness type property of homogenous functions in $\mathbb{R}^n$

Is this a case of the extended Riemann integral?

Supremum of the operator norm of Jacobian matrix

prove the function is increasing in $x$ and decreasing in $y$

Is it possible to construct the equation of a surface from its line element?

Use Stokes' Theorem to evaluate line integral

Arc length of curve of intersection between cylinder and sphere

Area of a spherical rectangle

If $f$ is differentiable in $x_0$ and $f$ reaches a local maximum in $x_0$ then $\nabla f(x_0)=0$

Example 3 - Section 5.5.2 - Partial Differential Equations by Evans

Describe the singularity of $\frac{xy}{x^2 + y^2}$ near $(x,y) = (0,0)$

Is complex analysis same difficulty as vector analysis/multivariable calculus?

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