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15
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How to find out the direction of the gradient?

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#vector-analysis
674
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Lipschitz Continuity of $\sqrt{1 + \|x\|^2_2}$

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#continuity #vector-analysis #lipschitz-functions
525
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Curl of cross product $(\underline d \times \underline r)$

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#vector-analysis #solution-verification #curl
88
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For a gradient system $\dot{x}=-\nabla V(x)$, $V$ is $C^2$, prove the eigenvalues of the derivative of the vector field at every fixed point are real

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#ordinary-differential-equations #eigenvalues-eigenvectors #vector-analysis #vector-fields
33
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Find the boundary, the closure and the interior of the following sets

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#general-topology #elementary-set-theory #vector-analysis
116
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What is the rotation number of differential forms?

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#differential-geometry #vector-analysis #differential-forms #line-integrals
53
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What is $\left( \boldsymbol{e} \, \cdot \, \boldsymbol{\nabla} \right) \left( \boldsymbol{a} \times \boldsymbol{b} \right)$

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#real-analysis #calculus #derivatives #vector-analysis #cross-product
59
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How to get gradient of linear equations?

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#linear-algebra #vector-analysis
27
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Derivatives of vector functions

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#vector-analysis
50
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Identity with integral of $f\textbf{r} \times \text{d}\textbf{S}$

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#multivariable-calculus #vector-analysis
63
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How to find the div(curl $v$)?

Published on
#calculus #multivariable-calculus #vector-analysis
52
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Transforming a quadratic form into a determinant of a matrix and organizing the calculation of its derivative

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#determinant #vector-analysis #matrix-calculus
713
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Gradient Descent wrt matrix

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#matrices #optimization #vector-analysis #machine-learning
82
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Continuity of Vector Valued Functions from $[0,1]\times [0,1]$ to $\mathbb{R^3}$

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#real-analysis #calculus #vector-analysis
54
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Matrix gradient differentiation calculation

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#vector-analysis #matrix-calculus #machine-learning

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