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Is always possible define a coordinate basis for a smooth manifold?

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#differential-geometry #manifolds #coordinate-systems #tangent-spaces
543
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Going from cartesian to cylindrical coordinates - how to handle division with $0$

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#coordinate-systems #spherical-coordinates #cylindrical-coordinates
258
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Finding the axes of symmetry for a general hyperbola from its equation

Published on
#conic-sections #coordinate-systems
122
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Calculate the dual basis and tangent basis vectors

Published on
#vector-analysis #area #coordinate-systems
515
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Calculate if a line will pass through a given point?

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#linear-algebra #coordinate-systems #fixed-points
106
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Help finding the tangent line to a curve

Published on
#geometry #euclidean-geometry #coordinate-systems #plane-geometry
454
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Locus of point of intersection of tangents to circle and a hyperbola

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#geometry #analytic-geometry #coordinate-systems
2.6k
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Direction of $\hat{\theta}$ in polar coordinates

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#vectors #coordinate-systems #polar-coordinates
37
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2nd degree equation for two simultaneous lines

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#geometry #determinant #coordinate-systems #plane-geometry
87
Views

Looking for an alternate (sleeker) approach

Published on
#geometry #triangles #analytic-geometry #coordinate-systems
274
Views

Determinant of the metric tensor

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#metric-spaces #tensor-products #coordinate-systems #tensors
14
Views

Name the cartesian coordinate system in which its movement are quantized and limited

Published on
#coordinate-systems
211
Views

Is it possible to define a vector field of non-coordinate basis vectors?

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#differential-geometry #smooth-manifolds #coordinate-systems #tangent-spaces
201
Views

Proving two orthogonal unit vectors in n dimensional space can be reduced to a simple case

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#linear-algebra #coordinate-systems
1k
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Convert function from cartesian coordinates to cylindrical and spherical

Published on
#coordinate-systems #vector-fields #spherical-coordinates #cylindrical-coordinates

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