Question

Stokes' theorem for a flat surface

score 302 · Answer 1 · 2026-04-12 02:19:14

302

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Stokes' theorem for a flat surface

Published on 12 Apr 2026 - 2:19

score 55 · Answer 2 · 2026-04-14 00:55:55

55

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Definition of differentiable function $f: U\to\mathbb{R}^n$

Published on 14 Apr 2026 - 0:55

score 47 · Answer 3 · 2026-04-14 12:50:25

47

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Open sets and rational sets (Topology)

Published on 14 Apr 2026 - 12:50

score 45 · Answer 4 · 2026-04-16 15:29:47

45

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Direction vectors are linearly dependent, if $D_vf(x)=D_wf(x)=0$ with $\operatorname{grad} f(x)\neq 0$

Published on 16 Apr 2026 - 15:29

score 60 · Answer 5 · 2026-04-21 16:53:54

60

Views

Extrema of $5x^2+7y^2-14xy$ on $D:=(x,y)\in \mathbb{R}^2:\sup(x,y) \le 1$

Published on 21 Apr 2026 - 16:53

score 61 · Answer 6 · 2026-04-15 18:53:22

61

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Proof verification: Let $f:O\subset \Bbb{R}^n\to\Bbb{R}$ be a $C^3$ function. If $A$ is positive, then $x_0$ is a local minimum.

Published on 15 Apr 2026 - 18:53

score 199 · Answer 7 · 2026-04-17 13:40:20

199

Views

Contour lines or Contour curve?

Published on 17 Apr 2026 - 13:40

score 522 · Answer 8 · 2026-05-04 20:16:57

522

Views

How to prove that there is no differentiable function with given partial derivatives

Published on 04 May 2026 - 20:16

score 70 · Answer 9 · 2026-04-15 12:15:08

70

Views

Can this be solved using divergence theorem? $\iint_{S^+} dydz + dzdx +dxdy$

Published on 15 Apr 2026 - 12:15

score 34 · Answer 10 · 2026-04-13 20:50:27

34

Views

substitution in $\mathbb R^n$ :$\int_{\varphi(U)} f=\int_U f(\psi)|\det J_\psi|$. Why if taking $U$ closed instead of open the formula still hold?

Published on 13 Apr 2026 - 20:50

score 93 · Answer 11 · 2026-04-17 09:06:24

93

Views

Gradient of function $\nabla g(x)$ when $g = f^2$

Published on 17 Apr 2026 - 9:06

score 109 · Answer 12 · 2026-04-15 17:41:25

109

Views

Does the gradient theorem generalize to vector-valued potentials?

Published on 15 Apr 2026 - 17:41

score 784 · Answer 13 · 2026-04-11 23:58:49

784

Views

Product of differentiable functions is total differentiable

Published on 11 Apr 2026 - 23:58

score 619 · Answer 14 · 2026-04-16 12:55:24

619

Views

Perpendicular distance from origin to the plane $x+2y+2z=6$

Published on 16 Apr 2026 - 12:55

score 536 · Answer 15 · 2026-04-15 18:17:09

536

Views

Leibniz' Rule: Prove $\int_0^y u_{tt}(x,t) dt = u_y (x,y) - u_y (x,0)$

Published on 15 Apr 2026 - 18:17

List Question

Stokes' theorem for a flat surface

Definition of differentiable function $f: U\to\mathbb{R}^n$

Open sets and rational sets (Topology)

Direction vectors are linearly dependent, if $D_vf(x)=D_wf(x)=0$ with $\operatorname{grad} f(x)\neq 0$

Extrema of $5x^2+7y^2-14xy$ on $D:=(x,y)\in \mathbb{R}^2:\sup(x,y) \le 1$

Proof verification: Let $f:O\subset \Bbb{R}^n\to\Bbb{R}$ be a $C^3$ function. If $A$ is positive, then $x_0$ is a local minimum.

Contour lines or Contour curve?

How to prove that there is no differentiable function with given partial derivatives

Can this be solved using divergence theorem? $\iint_{S^+} dydz + dzdx +dxdy$

substitution in $\mathbb R^n$ :$\int_{\varphi(U)} f=\int_U f(\psi)|\det J_\psi|$. Why if taking $U$ closed instead of open the formula still hold?

Gradient of function $\nabla g(x)$ when $g = f^2$

Does the gradient theorem generalize to vector-valued potentials?

Product of differentiable functions is total differentiable

Perpendicular distance from origin to the plane $x+2y+2z=6$

Leibniz' Rule: Prove $\int_0^y u_{tt}(x,t) dt = u_y (x,y) - u_y (x,0)$

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