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15
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$\nabla_a \nabla_b v^c$ abstract index notation

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#differential-geometry #tensors #connections #index-notation
137
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How to find dual basis for basis B*

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#linear-algebra #linear-transformations #tensors
66
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Find coordinates relative to base C and canonical basis of trilinear form

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#linear-algebra #tensors #change-of-basis
1.4k
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Why do books on diff geometry suggest tensor calculus and differential forms are coord free, while others say tensors are coord dependent?

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#differential-geometry #differential-forms #tensors
135
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Ricci Calculus kronecker delta

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#matrices #tensors #kronecker-delta
109
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Tucker Nearness Problem

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#optimization #tensors #karush-kuhn-tucker
122
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Gradient Descent for Tensor Decomposition - Find low rank dimensions

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#linear-algebra #tensors #gradient-descent #tensor-decomposition
231
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Why is the Riemannian Curvature tensor considered a $(3,1)$ type tensor?

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#calculus #geometry #differential-geometry #tensors
252
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Definition of the alternating tensor product in Ryan

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#functional-analysis #hilbert-spaces #tensor-products #tensors
62
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If $x_i,y_i$ are linearly independent, then $x_1⊗x_2⊗y_3$, $x_1⊗y_2⊗x_3$ and $y_1⊗x_2⊗x_3$ are linearly independent

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#linear-algebra #functional-analysis #tensor-products #tensors
46
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Approximation in canonical format by rank 1 tensors

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#functional-analysis #hilbert-spaces #tensor-products #tensors #tensor-rank
405
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What's the connection between persistent homology and tensor networks?

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#group-theory #computer-science #mathematical-physics #tensors #topological-data-analysis
764
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What's the difference between a 2D vector and a matrix and a rank 2 tensor?

Published on
#vectors #tensors
435
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From Riemann tensor to Ricci tensor and vice versa

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#differential-geometry #riemannian-geometry #tensors #curvature
50
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A question on forms

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#tensors #multilinear-algebra

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