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Replace $X$ with $\mbox{diag}(x)$ in trace matrix derivative identity

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#matrices #derivatives #matrix-calculus #trace #scalar-fields
587
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Derivative of bilinear form

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#calculus #matrices #derivatives #matrix-calculus #scalar-fields
710
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Index notation for vector calculus proof

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#multivariable-calculus #index-notation #scalar-fields
87
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Gradient of $\mathbf{x} \mapsto(\mathbf a - \mathbf x)^\top\mathbf M^{-1}(\mathbf a-\mathbf x)$

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#multivariable-calculus #derivatives #scalar-fields
2k
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Recover scalar field from gradient

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#multivariable-calculus #partial-derivative #vector-analysis #scalar-fields
118
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Standard result for the gradient of a multidimensional Gaussian

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#multivariable-calculus #derivatives #normal-distribution #matrix-calculus #scalar-fields
146
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Visualizing a Scalar Field: $T(x,y,z)=10e^{-(x^2+y^2+z^2)}$

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#graphing-functions #scalar-fields
1.2k
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Gradient of $X \mapsto \mbox{Tr}(AX)$

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#matrices #derivatives #matrix-calculus #scalar-fields
98
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Scalar fields whose gradient lies on a plane?

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#multivariable-calculus #scalar-fields
148
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What kind of projection does a specific map (3D -> 2D) correspond to?

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#coordinate-systems #projective-geometry #conformal-geometry #projection #scalar-fields
852
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Gradient of a function with respect to a matrix

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#matrices #normed-spaces #matrix-calculus #scalar-fields
2.2k
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How to find the gradient of $f(x)=-\sum_{i=1}^n \log x_i$?

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#calculus #multivariable-calculus #derivatives #partial-derivative #scalar-fields
418
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Gradient of $\log\det$ of sum of two matrices

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#matrices #derivatives #determinant #matrix-calculus #scalar-fields
1.5k
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What are the Effects of Applying the $\nabla$ Operator to a Scalar Field?

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#partial-differential-equations #vector-analysis #divergence-operator #scalar-fields #curl
223
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What is meant by 'scalars in modules'?

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#ring-theory #field-theory #modules #scalar-fields

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