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Can vector fields be thought of as rank-1 contravariant tensor fields?

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#differential-geometry #differential-forms #tensors #vector-fields
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How to Distinguish Between Energy and Coenergy in an Electric Field

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#calculus #integration #vector-fields #electromagnetism
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Divergence in curvilinear coordinates

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#differential-geometry #coordinate-systems #derivatives #vector-fields
227
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Diffeomorphisms between vector fields, Arnold's ODE book problem

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#ordinary-differential-equations #vector-fields
1.4k
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Computing flow of vectors fields with partial derivatives

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#multivariable-calculus #differential-geometry #partial-differential-equations #partial-derivative #vector-fields
888
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Left invariant vector field on $S^1$

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#lie-groups #smooth-manifolds #vector-fields
1.3k
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Covariant derivative of inverse exponential vector field

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#riemannian-geometry #vector-fields
78
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element in field, expressed as multiple of elements?

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#linear-algebra #vector-fields
534
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Vector calculus derivatives finding the isothermal curve

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#derivatives #vector-spaces #vector-analysis #vector-fields
89
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Trying to find flux through «stream pipe»

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#multivariable-calculus #vector-analysis #vector-fields
54
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Norm-independent derivative of a vector field

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#derivatives #vector-fields
37
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Vector Calculus Notation for "Cross" Quantities

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#multivariable-calculus #vectors #partial-derivative #vector-analysis #vector-fields
252
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Calculate the flux of $G(x,y,z)=x(1-z)\hat{k}$ through a cube

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#calculus #vectors #vector-fields
155
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Visualizing the exactness of two-dimensional differentials

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#differential #vector-fields
522
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Direction of gradient and contour lines using unit vectors

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#calculus #vectors #vector-analysis #vector-fields

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