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15
46
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Show that $V$ is tangent to $M$.

Published on
#differential-geometry #smooth-manifolds #vector-fields
79
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Discretising a line integral

Published on
#vector-fields #curvature #line-integrals
32
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Is there a quantity which will measure the number of twists in a vector field along a closed path?

Published on
#vector-analysis #vector-fields
93
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Simplifying divergence expression using product rule

Published on
#vectors #vector-analysis #vector-fields #divergence-operator
64
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Prove that these 2 vector fields on the sphere are orthogonal

Published on
#geometry #orthogonality #vector-fields
121
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Sufficiency of commutation of vector fields for being a coordinate basis

Published on
#differential-geometry #coordinate-systems #vector-fields
21
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Definition- vector field corresponding to a point

Published on
#definition #lie-groups #lie-algebras #vector-fields
54
Views

Spherical integration of vector function $\frac{\vec{r}\times(\vec{\mathbb{e}_z}\times\vec{r})}{r^3} \exp^{-2 r}\mathrm{d}{\vec{r}}$

Published on
#integration #vector-analysis #vector-fields
98
Views

Coordinate free generalizations of vector identities

Published on
#vector-spaces #euclidean-geometry #vector-analysis #vector-fields #curvilinear-coordinates
170
Views

Potential function for vector field $\frac{1}{r} \hat{\phi}$?

Published on
#multivariable-calculus #vector-fields #line-integrals
2k
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Gradient in cylindrical coordinates

Published on
#coordinate-systems #derivatives #vector-fields
26
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Compute $\int_{C}\textbf{B}\cdot d\textbf{r} = 0$ directly C is a circle

Published on
#integration #vector-fields #line-integrals
32
Views

Identification of a Lie algebra given by an abelian ideal and $\mathfrak{so}(p,q)$

Published on
#linear-algebra #representation-theory #lie-algebras #vector-fields
64
Views

Interpreting a vector field in curvilinear basis vectors

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#vector-fields #curvilinear-coordinates
71
Views

What is the maximum of the function below?

Published on
#geometry #optimization #vectors #nonlinear-optimization #vector-fields

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