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Need help understanding differential of function

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#derivatives #differential-geometry #manifolds #differential #tangent-spaces
63
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For which $P,Q \in \text{SO}$ $T_P\text{SO}$ and $T_Q\text{SO}$ are parallel?

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#differential-geometry #lie-groups #riemannian-geometry #orthogonal-matrices #tangent-spaces
2.4k
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Coordinate basis and coordinate systems

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#differential-geometry #manifolds #coordinate-systems #tangent-spaces #curvilinear-coordinates
168
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Lie group map whose differential is an isomorphism is a covering map

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#lie-groups #lie-algebras #covering-spaces #tangent-spaces
182
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tangent distance between two handwritten digits

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#tangent-spaces
379
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Differential map of velocity vector

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#differential-geometry #curves #tangent-spaces
142
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Dimension of relative tangent space

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#algebraic-geometry #commutative-algebra #tensor-products #tangent-spaces
25
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Am I doing this correctly? ( Tangent plane to a surface )

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#calculus #tangent-spaces
41
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Finding equation of tangent of a vector

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#vector-spaces #tangent-spaces
333
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Germs: Why is it sensible to define a function on a collection of equivalence classes by its action on each element?

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#smooth-manifolds #equivalence-relations #tangent-spaces #germs
43
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Intersection number via tangent spaces

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#differential-topology #smooth-manifolds #group-actions #intersection-theory #tangent-spaces
170
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How to show that the tangent space as defined by velocity of curves matces intuitive tangent idea?

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#tangent-spaces
743
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Identification of the tangent space of a manifold and the tangent vectors to curves

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#differential-geometry #manifolds #tangent-spaces
234
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Why do the properties of a derivation lead to a tangent space of a manifold

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#derivatives #differential-geometry #manifolds #tangent-spaces
1.6k
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Lie algebra: intuition of "Lie Algebra is tangent space of corresponding Lie Group"?

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#definition #lie-groups #lie-algebras #orthogonal-matrices #tangent-spaces

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