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Example of a smooth function with certain growth properties

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#real-analysis #calculus #smooth-functions
31
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A best function that satisfies required conditions

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#mathematical-modeling #lipschitz-functions #smooth-functions
75
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If $(f_*)_p(v_p) = (f_*)_p(w_p)$ for all $f\in C^\infty(M)$, then $v_p = w_p$.

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#differential-geometry #smooth-manifolds #smooth-functions #tangent-spaces
265
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Can a smooth function with compact sublevel sets only admit local minimizers?

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#real-analysis #morse-theory #smooth-functions
80
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Proving smoothness from fast decay of Fourier coefficients

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#real-analysis #proof-verification #continuity #fourier-analysis #smooth-functions
41
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Smooth function with two variables that depends only on the distance of two variables

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#real-analysis #riemannian-geometry #smooth-manifolds #smooth-functions
423
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Is the space of smooth functions dense in that of continuous ones?

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#functional-analysis #continuity #banach-spaces #uniform-convergence #smooth-functions
35
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Smoothness of continuous version of 3x+1 / Collatz function

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#real-analysis #smooth-functions
44
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$f\colon\mathbb{R}^{n}\to\mathbb{R}^{n}$ Lebesgue measure preserving if $|\det(Df)|\equiv1$

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#measure-theory #euclidean-geometry #lebesgue-integral #lebesgue-measure #smooth-functions
974
Views

Does locally smooth imply globally smooth for a function on a manifold?

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#differential-topology #smooth-manifolds #smooth-functions
72
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Does “smooth finite average” exist?

Published on
#calculus #multivariable-calculus #average #conjectures #smooth-functions
93
Views

Uniform limit (integral of a smooth function)

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#limits #uniform-convergence #smooth-functions
38
Views

What is the motivation for these different definitions of smooth curve?

Published on
#definition #smooth-manifolds #curves #smooth-functions
19
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Proving that a map between manifolds is smooth via a covering set of coordinate systems

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#manifolds #differential-topology #smooth-functions
334
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Question about estimate in proof that $C_c^{\infty}$ is dense in Schwartz space.

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#real-analysis #schwartz-space #smooth-functions

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