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15
472
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If $f, g$ are both smooth functions of $t$, why does $f \circ g$ is a smooth function of $t$?

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#calculus #smooth-functions
119
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Does an immersed curve have to be "curve-like" somewhere?

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#differential-geometry #smooth-manifolds #curves #smooth-functions
65
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Extending Poisson equation from half unit disc

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#partial-differential-equations #sobolev-spaces #smooth-functions
334
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Is $C_{c}^{\infty}[a,b]$ a complete metric space?

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#general-topology #functional-analysis #metric-spaces #smooth-functions
56
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How to prove $C_{c}^{\infty}[a,b]$ a complete metric space

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#general-topology #functional-analysis #metric-spaces #smooth-functions
830
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How to determine if a function is smooth?

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#functional-analysis #functions #derivatives #smooth-functions
285
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Why the multiplication map of a Lie group has constant rank?

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#lie-groups #smooth-manifolds #smooth-functions
145
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Injective smooth map which is immersive and submersive is actually a global diffeomorphism

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#differential-geometry #manifolds #smooth-manifolds #smooth-functions #diffeomorphism
480
Views

How is the directional derivative used to determine the tangent map?

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#differential-geometry #vector-spaces #lie-groups #smooth-manifolds #smooth-functions
474
Views

Showing multivariable maps are smooth

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#multivariable-calculus #smooth-functions
55
Views

Is $C^\infty\subset L_{1,\text{loc}}(\mathbb{R})$?

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#smooth-functions
209
Views

On solution methods for min-min optimization problems

Published on
#reference-request #nonlinear-optimization #gradient-descent #non-convex-optimization #smooth-functions
361
Views

Is a map $G$ composed with a local diffeomorphism smooth iff $G$ is smooth?

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#differential-geometry #manifolds #smooth-manifolds #smooth-functions #diffeomorphism
719
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Is the graph of a smooth function a manifold?

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#differential-geometry #smooth-manifolds #smooth-functions
446
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Does multiplication by a test function stay in a Sobolev space?

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#integration #functional-analysis #sobolev-spaces #lp-spaces #smooth-functions

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