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divergence of gradient of scalar function in tensor form

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#vector-analysis #tensors #divergence-operator #index-notation
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If the derivative of tensors are not generally tensors, why does vector calculus work?

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#vector-analysis #tensors
52
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When do derivatives cancel inside integrals when working with tensors?

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#integration #partial-derivative #tensors #index-notation
782
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Questions on Cartan's magic formula $\mathcal{L}_X=i_X \circ d + d\circ i_X$

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#differential-geometry #tensors #exterior-algebra #lie-derivative #graded-algebras
49
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Computing the shape operator $S_\eta :T_pN \rightarrow T_pN$

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#differential-geometry #vectors #riemannian-geometry #tensors #curvature
1.5k
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Push-forward of a tensor

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#differential-geometry #tensor-products #tensors
266
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Intuition of divergence and curl

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#multivariable-calculus #tensors
627
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Do tensors in component form commute?

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#tensors #general-relativity
111
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Differentiation of tensor product

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#differential-geometry #tensor-products #tensors #index-notation #kronecker-product
40
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Singular Values of an $n$ dimensional matrix

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#linear-algebra #tensors #python #singular-values
816
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Tensor is non-zero

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#abstract-algebra #commutative-algebra #tensor-products #tensors
776
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Convert Einstein Summation to Matrix Multiplication

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#linear-algebra #matrices #tensors
145
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Divergence of tensor times vector equals divergence of vector times tensor

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#calculus #vector-analysis #tensors
139
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Why Curvature Tensor in Bianchi identity is not all zero

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#riemannian-geometry #tensors
210
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Derivative of matrix-valued function and chain rule

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#calculus #linear-algebra #multivariable-calculus #tensors #chain-rule

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