Question

Contradiction to Helmholtz's Theorem 1: Vortex filaments have constant strength

score 260 · Answer 1 · 2026-03-25 22:11:18

260

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Contradiction to Helmholtz's Theorem 1: Vortex filaments have constant strength

Published on 25 Mar 2026 - 22:11

score 37 · Answer 2 · 2018-05-18 00:20:20

37

Views

Vanishing terms in vector calculus proof

Published on 18 May 2018 - 0:20

score 1.5k · Answer 3 · 2018-05-18 01:23:46

1.5k

Views

Interchanging dot and cross product?

Published on 18 May 2018 - 1:23

score 137 · Answer 4 · 2026-03-24 23:48:08

137

Views

Show $\oint_C (Pdx+Qdy) \,=2\pi$ if $P$ and $Q$ aren't $C^1$

Published on 24 Mar 2026 - 23:48

score 62 · Answer 5 · 2018-05-18 07:56:33

62

Views

Necessary and Sufficient Condition in Quotient Space

Published on 18 May 2018 - 7:56

score 27 · Answer 6 · 2026-03-25 01:16:43

27

Views

Verification of Green's Theorem in a Simple Case

Published on 25 Mar 2026 - 1:16

score 388 · Answer 7 · 2026-03-22 19:18:06

388

Views

Expansion of 1/R

Published on 22 Mar 2026 - 19:18

score 210 · Answer 8 · 2018-05-20 01:14:21

210

Views

Suppose $F$ satisfies $div F = 0$ and $curl F=0$ on all of $R^3$. Show that we can write Find $F= \nabla f$, where $ \nabla^2 f=0$

Published on 20 May 2018 - 1:14

score 36 · Answer 9 · 2018-05-20 01:27:32

36

Views

Calculate the flux of $F=(x+3y^5, y+10xz, z-xy),$ $ S$ the closed hemisphere bounded by $x^2+y^2+z^2=1, z\ge0$.

Published on 20 May 2018 - 1:27

score 2.1k · Answer 10 · 2018-05-20 01:36:20

2.1k

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Calculate the flux of $F=(3xy^2,3x^2y,z^3),$ $ S$ the sphere of radio 1.

Published on 20 May 2018 - 1:36

score 30 · Answer 11 · 2018-05-20 12:14:02

30

Views

Nabla/del of $(y_i-\hat y(\mathbf x,t_i))^2$?

Published on 20 May 2018 - 12:14

score 52 · Answer 12 · 2026-03-25 01:27:14

52

Views

Need help in understanding a section of a paper.

Published on 25 Mar 2026 - 1:27

score 30 · Answer 13 · 2018-05-21 01:35:51

30

Views

Solve the vector equation

Published on 21 May 2018 - 1:35

score 148 · Answer 14 · 2018-05-22 00:06:46

148

Views

Prove or disprove $\sum_{k=0}^\infty\|y_{k+1}-y_k\|<\infty$ if $y_{k+1}=\big(I_n-\frac{ax_kx_k^{\rm T}}{b+\|x_k\|^2}\big)y_k$

Published on 22 May 2018 - 0:06

score 51 · Answer 15 · 2018-05-22 16:24:55

51

Views

Moving (not flying) object on $x,\ y,\ z$ cartesian axis the latter of which is determined by a graph

Published on 22 May 2018 - 16:24

List Question

Contradiction to Helmholtz's Theorem 1: Vortex filaments have constant strength

Vanishing terms in vector calculus proof

Interchanging dot and cross product?

Show $\oint_C (Pdx+Qdy) \,=2\pi$ if $P$ and $Q$ aren't $C^1$

Necessary and Sufficient Condition in Quotient Space

Verification of Green's Theorem in a Simple Case

Expansion of 1/R

Suppose $F$ satisfies $div F = 0$ and $curl F=0$ on all of $R^3$. Show that we can write Find $F= \nabla f$, where $ \nabla^2 f=0$

Calculate the flux of $F=(x+3y^5, y+10xz, z-xy),$ $ S$ the closed hemisphere bounded by $x^2+y^2+z^2=1, z\ge0$.

Calculate the flux of $F=(3xy^2,3x^2y,z^3),$ $ S$ the sphere of radio 1.

Nabla/del of $(y_i-\hat y(\mathbf x,t_i))^2$?

Need help in understanding a section of a paper.

Solve the vector equation

Prove or disprove $\sum_{k=0}^\infty\|y_{k+1}-y_k\|<\infty$ if $y_{k+1}=\big(I_n-\frac{ax_kx_k^{\rm T}}{b+\|x_k\|^2}\big)y_k$

Moving (not flying) object on $x,\ y,\ z$ cartesian axis the latter of which is determined by a graph

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