List questions from vector-fields

Published on 04 Jun 2020 - 18:13

142

Views

Finding the integral curves of a vector field

Published on 05 Jun 2020 - 7:57

140

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Showing a vector field isn't conservative without using a contour integral

Published on 05 Jun 2020 - 17:38

47

Views

What does it mean to factorise over a field F? e.g. can you factorise t^2 + 1 = (t + i)(t - i) over R?

Published on 05 Jun 2020 - 21:43

22

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Finding 2D conservative normal vector fields

Published on 06 Jun 2020 - 11:52

47

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$\int_\gamma F \cdot dr$, where $F=x^2i+y^2j+z^2k$

Published on 06 Jun 2020 - 23:40

461

Views

Canonical lifting of vector fields

Published on 25 Mar 2026 - 22:23

225

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Is this vector field conservative?

Published on 27 Mar 2026 - 1:42

301

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What is different between field , Vector function and plane?

Published on 29 Mar 2026 - 8:44

21

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Can a flux that varies only in $x$ through surface $ds$ be separated into $dx$ and $dy$ terms

Published on 28 Mar 2026 - 22:38

52

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Finding $\mathbf{u} \cdot \nabla \mathbf{u}$ in cylindrical coordinates

Published on 13 Jun 2020 - 10:49

74

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Why can every map $f\in C^\infty(M,\mathbb R)$ be written as $f(z)=f(y)+\sum_i (x^i(z)-x^i(y))\partial_i f(y)$?

Published on 16 Jun 2020 - 8:57

62

Views

Commutator of fundamental vector fields is fundamental vector field of the commutator

Published on 26 Mar 2026 - 4:34

121

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Hamiltonian diffeomorphism between cotangent bundles $T^Q\to T^Q$

Published on 27 Mar 2026 - 17:57

40

Views

Show the smoothness of a (local) vector field on a regular surface in $\mathbb{R}^3$

Published on 17 Jun 2020 - 21:54

List Question

work done by a vector field

Finding the integral curves of a vector field

Showing a vector field isn't conservative without using a contour integral

What does it mean to factorise over a field F? e.g. can you factorise t^2 + 1 = (t + i)(t - i) over R?

Finding 2D conservative normal vector fields

$\int_\gamma F \cdot dr$, where $F=x^2i+y^2j+z^2k$

Canonical lifting of vector fields

Is this vector field conservative?

What is different between field , Vector function and plane?

Can a flux that varies only in $x$ through surface $ds$ be separated into $dx$ and $dy$ terms

Finding $\mathbf{u} \cdot \nabla \mathbf{u}$ in cylindrical coordinates

Why can every map $f\in C^\infty(M,\mathbb R)$ be written as $f(z)=f(y)+\sum_i (x^i(z)-x^i(y))\partial_i f(y)$?

Commutator of fundamental vector fields is fundamental vector field of the commutator

Hamiltonian diffeomorphism between cotangent bundles $T^Q\to T^Q$

Show the smoothness of a (local) vector field on a regular surface in $\mathbb{R}^3$

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