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15
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Verify Stokes theorem: semi-circle in $\mathbb{R}^2$

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#manifolds #vector-analysis #stokes-theorem
234
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Circulation of a flow along a closed curve enclosing the $z$-axis

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#vector-analysis #fluid-dynamics
42
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Find constants of $f(x,y,z) = axy^2+byz+cx^3z^2$?

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#multivariable-calculus #vectors #vector-analysis
46
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Divergence theorem for objects defined by parts

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#manifolds #vector-analysis #divergence-theorem
42
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Proving Area-formula with Green's/Stokes Theorem

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#vector-analysis #area #curves #greens-theorem
68
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Apply divergence theorem for $\int_R r \times \operatorname{div}(v \otimes v)dV$

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#multivariable-calculus #vector-analysis #cross-product #divergence-operator #divergence-theorem
33
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Square of an inner product of a vector and the gradient

Published on
#real-analysis #vector-analysis
150
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Interpretation of Integral of Differential 3-Form over 3-Manifold in Engineering?

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#differential-topology #vector-analysis #differential-forms #stokes-theorem #de-rham-cohomology
73
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Is there a norm that can specify an unique vector $x$?

Published on
#vectors #vector-analysis #normed-spaces
28
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Derivative in time a space of Lagrangian Coordinates in Fluid Mechanics

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#real-analysis #matrices #derivatives #vector-analysis #matrix-equations
52
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Derivative of a function defined on a curve

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#multivariable-calculus #vector-analysis
54
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closed loop integral when $\frac{\partial Q}{\partial x} = \frac{\partial P}{\partial y}$

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#vector-analysis #line-integrals #greens-theorem
84
Views

Divergence of multiplication: what order?

Published on
#vector-analysis #divergence-operator
33
Views

Cross product integral along an elipse

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#solution-verification #vector-analysis #contour-integration #parametric #cross-product
95
Views

Homework Question -Vector Calculus Area

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#multivariable-calculus #vector-analysis #area #multiple-integral

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