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How to prove that the vector field will be symmetric if it’s curl is given to be symmetric?

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#multivariable-calculus #partial-differential-equations #vector-analysis #vector-fields #symmetry
40
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Lie Bracket in a Matrix submanifold

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#lie-groups #vector-fields
317
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Question about exercise 5.2(b) of Do Carmo's Riemannian Geometry

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#differential-geometry #riemannian-geometry #vector-fields
187
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How can I plot the vector field of a differential equation on the real line?

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#ordinary-differential-equations #matlab #vector-fields
34
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help me find the value of a when u=(a,-4) and v=(2,6) are parallel vectors.

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#vector-spaces #vectors #normed-spaces #vector-fields #scalar-fields
30
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Solution to a slope field through given points

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#ordinary-differential-equations #vector-fields #computational-mathematics #boundary-value-problem
51
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Why is $\int_SA\times\text{d}\mathbf{S}=-\int_S\text{d}\mathbf{S}\times A$?

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#multivariable-calculus #vector-analysis #vector-fields
777
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Flux of vector field through a cylinder

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#calculus #vector-fields #cylindrical-coordinates
47
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Determine a field on the real line that has the following characteristics:

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#ordinary-differential-equations #vector-fields #stability-in-odes
161
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Understanding left invariant vector fields

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#differential-geometry #vector-spaces #vector-fields
1.3k
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How to find the vector field associated with an ODE?

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#calculus #ordinary-differential-equations #vector-analysis #vector-fields
31
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Decomposing a flow to flows with support conditions?

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#differential-geometry #manifolds #smooth-manifolds #vector-fields
268
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How to determine if a 3-D velocity flow is axisymmetric.

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#vectors #vector-fields #fluid-dynamics
307
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The number of linearly independent vector fields on $S^7\times S^5$

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#differential-topology #vector-fields #spheres
1.6k
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Understanding the Voss-Weyl formula for divergence

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#differential-geometry #coordinate-systems #tensors #vector-fields

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