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Tensors: Meaning of the derivative terms in Covariant and Contravariant transformations.

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#coordinate-systems #tensors #transformation #covariance #change-of-basis
147
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Quaternion starting assumptions

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#coordinate-systems #quaternions
763
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Bisector of the acute angle formed between the lines $4x-3y+7=0$ and $3x-4y+14=0$

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#geometry #analytic-geometry #coordinate-systems
193
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Basis vectors and one-forms in curvilinear coordinates - normalized or not?

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#differential-geometry #coordinate-systems #tensors #polar-coordinates
1.7k
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Cartesian velocity to polar velocity (Velocity Field Context)

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#coordinate-systems #polar-coordinates #chain-rule #fluid-dynamics
110
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Normal coordinates on a flat manifold

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#manifolds #riemannian-geometry #coordinate-systems #general-relativity
235
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Can I double integrate a function through r and theta instead of x and y?

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#integration #definite-integrals #coordinate-systems #polar-coordinates
150
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Showing Laplacian is rotation invariant in spherical coordinates

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#multivariable-calculus #coordinate-systems #spherical-coordinates #laplacian
10.2k
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Gradient in Spherical coordinates

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#multivariable-calculus #partial-derivative #vector-analysis #coordinate-systems #spherical-coordinates
288
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how can we formalise the difference between cartesian and curvilinear coordinate systems?

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#calculus #vector-analysis #coordinate-systems
23
Views

Discerning how to transform plane B to plane A from how to transform plane A to plane B

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#matrices #vectors #coordinate-systems
58
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Check if list of latitude, longitude are withing range

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#coordinate-systems #polygons
81
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Question about $\mathbb R^n$ and mathematical space(s)

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#metric-spaces #euclidean-geometry #analytic-geometry #coordinate-systems #natural-numbers
220
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Partial derivatives and Galilean transforms

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#coordinate-systems #derivatives #calculus
2.1k
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Find Reflection of A point with respect to a line mirror in 3D

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#coordinate-systems #3d #alternative-proof #reflection #mirror-symmetry

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