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Families of orthogonal curves to parabola.

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#ordinary-differential-equations #conic-sections #curves #parametric #curvilinear-coordinates
125
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Is knowing unit basis vector enough to specify a coordinate system?

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#multivariable-calculus #differential-geometry #polar-coordinates #change-of-basis #curvilinear-coordinates
54
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Can the two curve $x=a$, $y^2 + x=b$ form a coordinate system?

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#ordinary-differential-equations #differential-geometry #curves #coordinate-systems #curvilinear-coordinates
83
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Finding Lamé coefficients (scale factors) for the curves

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#calculus #multivariable-calculus #systems-of-equations #coordinate-systems #curvilinear-coordinates
45.1k
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Curl in cylindrical coordinates

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#multivariable-calculus #change-of-variable #cylindrical-coordinates #curl #curvilinear-coordinates
67
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Convective operator in orthogonal curvilinear coordinates

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#calculus #multivariable-calculus #derivatives #fluid-dynamics #curvilinear-coordinates
313
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dot product in a general coordinate system

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#differential-geometry #curvilinear-coordinates
156
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divergence in Einstein Summation

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#coordinate-systems #vector-fields #index-notation #curvilinear-coordinates
148
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Orthogonal Coordinates with Constant Magnitude Basis Vectors

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#coordinate-systems #orthogonality #curvilinear-coordinates
376
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Basis unit vectors in Orthogonal Curvilinear Coordinates, how to calculate?

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#vector-spaces #polar-coordinates #orthogonality #curvilinear-coordinates
150
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Laplacian in a spherical coordinate system question

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#laplacian #curvilinear-coordinates
75
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Origins of $\frac1{r^2\sin(\theta)}$ term for curl of vector field in spherical coordinates

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#multivariable-calculus #spherical-coordinates #change-of-variable #curl #curvilinear-coordinates
1.9k
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Closed line integral with spherical coordinates

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#definite-integrals #spherical-coordinates #line-integrals #stokes-theorem #curvilinear-coordinates
310
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Intuitively explanation on spherical basis vectors?

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#differential-geometry #vectors #spherical-coordinates #spherical-geometry #curvilinear-coordinates
43
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Curvilinear coordinates and constraint on $\phi$

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#vector-analysis #surfaces #curvilinear-coordinates

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