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Trying to prove the fundamental theorem for gradients.

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#vectors #partial-derivative #vector-analysis #line-integrals
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Compute Gradient of some multivariable functions

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#multivariable-calculus #derivatives #vector-analysis
213
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Area of intersection between sphere and ball is less than surface area of ball

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#euclidean-geometry #vector-analysis
47
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Line integral over a scalar field

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#vector-analysis
199
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Trig/Vector question

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#trigonometry #vectors #vector-analysis
183
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Vector Analysis: Find point where particles collide

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#multivariable-calculus #vectors #vector-analysis
94
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Use the definition of partial derivative to show that ∂f/ ∂x (0, 0) does not exist

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#partial-derivative #vector-analysis
27
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An equivalent expression for an inequality

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#matrices #vector-analysis #matrix-calculus #matrix-decomposition
1.6k
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Show $\nabla x^TAx = (A + A^T)x$ using property of $\nabla$

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#linear-algebra #multivariable-calculus #derivatives #vector-analysis #quadratic-forms
121
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Show that Dvf(0, 0) does not exist. Find a number α such that if we define f(0, 0) to be equal to α instead of 0, then Dvf(0, 0) will exist.

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#vector-analysis
38
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Functional Relations between Gradients of Scalar Functions

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#differential-geometry #proof-writing #vector-analysis
276
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Jacobian in 3-Space

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#differential-geometry #vector-analysis #fake-proofs
73
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Linear algebra derivative

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#vector-analysis
1.2k
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why divergence only cares about partial derivative of x, y, z, respectively?

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#calculus #vector-analysis #divergence-operator
230
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Hessian and gradient of matrices

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#vector-analysis #matrix-calculus #hessian-matrix

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