Question

Confusion about flow lines: Why does $x'(t) =F_1(x(t), y(t))$, where $\hat F(t) = F_1\hat i + F_2\hat j$?

score 341 · Answer 1 · 2019-10-13 00:59:40

341

Views

Confusion about flow lines: Why does $x'(t) =F_1(x(t), y(t))$, where $\hat F(t) = F_1\hat i + F_2\hat j$?

Published on 13 Oct 2019 - 0:59

score 420 · Answer 2 · 2026-03-26 08:12:53

420

Views

Geometric meaning of two-form evaluation?

Published on 26 Mar 2026 - 8:12

score 266 · Answer 3 · 2019-10-13 13:18:29

Calculating flux through a cylinder bounded by $x^2+y^2=9$ and $z=0$, $z=5$. If $F(x,y,z) = (3x, y^3,-2.z^2)$, then calculate the flux of F through C.

score 66 · Answer 4 · 2019-10-14 17:26:02

66

Views

Flow of vector field $V_p = \frac{d}{dt} \left|_{t=0} \right. \ p \cdot e^{2\pi it}$ on a manifold $M$ with an $S^1$-action

Published on 14 Oct 2019 - 17:26

score 65 · Answer 5 · 2026-03-27 09:07:29

65

Views

Geometric interpretation of this condition

Published on 27 Mar 2026 - 9:07

score 627 · Answer 6 · 2019-10-15 17:46:19

627

Views

smooth vector field on a manifold and smooth vector field on a open subset of a manifold

Published on 15 Oct 2019 - 17:46

score 162 · Answer 7 · 2019-10-15 22:28:58

162

Views

Is the vector field $F=(x+y)\hat i+(1+y^2)\hat j$ perpendicular to the field $G = -(1+y^2)\hat i+(x +y)\hat j$ at every point?

Published on 15 Oct 2019 - 22:28

score 513 · Answer 8 · 2019-10-16 01:33:30

513

Views

Visualizing the flow of a constant vector field: shouldn't all the flow lines (integral curves) be in the same direction as the vector field?

Published on 16 Oct 2019 - 1:33

score 30 · Answer 9 · 2019-10-16 10:26:36

30

Views

Vector functions basic question

Published on 16 Oct 2019 - 10:26

score 2.6k · Answer 10 · 2019-10-16 18:25:09

2.6k

Views

Scalar potential of a vector field

Published on 16 Oct 2019 - 18:25

score 176 · Answer 11 · 2019-10-16 12:28:10

176

Views

The two definitions of the divergence of a vector field?

Published on 16 Oct 2019 - 12:28

score 26 · Answer 12 · 2019-10-17 13:41:25

26

Views

Scalar potential in origo

Published on 17 Oct 2019 - 13:41

score 1.1k · Answer 13 · 2019-10-17 14:09:50

1.1k

Views

Proof of $\nabla\times (\nabla\times \mathbf f)=\nabla(\nabla\cdot \mathbf f)-\nabla^2\mathbf f$

Published on 17 Oct 2019 - 14:09

score 221 · Answer 14 · 2019-10-17 14:19:40

221

Views

How should I memorise vector calculus identities?

Published on 17 Oct 2019 - 14:19

score 47 · Answer 15 · 2019-10-18 10:10:20

47

Views

Flow rate and circulation

Published on 18 Oct 2019 - 10:10

List Question

Confusion about flow lines: Why does $x'(t) =F_1(x(t), y(t))$, where $\hat F(t) = F_1\hat i + F_2\hat j$?

Geometric meaning of two-form evaluation?

Calculating flux through a cylinder bounded by $x^2+y^2=9$ and $z=0$, $z=5$. If $F(x,y,z) = (3x, y^3,-2.z^2)$, then calculate the flux of F through C.

Flow of vector field $V_p = \frac{d}{dt} \left|_{t=0} \right. \ p \cdot e^{2\pi it}$ on a manifold $M$ with an $S^1$-action

Geometric interpretation of this condition

smooth vector field on a manifold and smooth vector field on a open subset of a manifold

Is the vector field $F=(x+y)\hat i+(1+y^2)\hat j$ perpendicular to the field $G = -(1+y^2)\hat i+(x +y)\hat j$ at every point?

Visualizing the flow of a constant vector field: shouldn't all the flow lines (integral curves) be in the same direction as the vector field?

Vector functions basic question

Scalar potential of a vector field

The two definitions of the divergence of a vector field?

Scalar potential in origo

Proof of $\nabla\times (\nabla\times \mathbf f)=\nabla(\nabla\cdot \mathbf f)-\nabla^2\mathbf f$

How should I memorise vector calculus identities?

Flow rate and circulation

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