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Is the softmax Lipschitz differentiable?

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#real-analysis #machine-learning #lipschitz-functions
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Concavity implies locally Lipschitz continuity?

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#calculus #real-analysis #functions #continuity #lipschitz-functions
40
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Lipschtiz continuity for inital value problem $u'(t) = u(t)^{2/3}, u(0) = 0$

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#ordinary-differential-equations #lipschitz-functions #initial-value-problems
80
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Are $f,g$ Lipschitz if there is $K\geq 0$ s.t. $d(f(x) , f(y)) + d(g(x), g(y)) \leq K d'(x,y)$ for all $x,y$?

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#real-analysis #functional-analysis #metric-spaces #uniform-continuity #lipschitz-functions
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Global Lipschitz behavior of given function

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#lipschitz-functions
249
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Mazur Lemma for sequence of Lipschitz functions

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#functional-analysis #weak-convergence #lipschitz-functions #strong-convergence
162
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Local Lipschitz property of a function defined by limsup of distance from a bounded sequence

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#functional-analysis #convex-analysis #hilbert-spaces #lipschitz-functions
1.3k
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Is an integral of a bounded function Lipschitz?

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#real-analysis #integration #lipschitz-functions
117
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Definition of local upper Lipschitz semicontinuity

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#real-analysis #lipschitz-functions
740
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Uniform continuity of $x\sin(\frac{1}{x})$

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#real-analysis #trigonometry #derivatives #uniform-continuity #lipschitz-functions
895
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Lipschitz function which is Gâteaux-differentiable is Fréchet-differentiable

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#real-analysis #lipschitz-functions #frechet-derivative #gateaux-derivative
163
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How to prove that the derivative of a Lipschitz function is always $\leq$ L

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#analysis #limits #derivatives #proof-verification #lipschitz-functions
162
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Evaluation of convolutions by Fejér kernels have finite-dimentional range?

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#functional-analysis #convolution #lipschitz-functions #dual-spaces #fejer-kernel
75
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Family of functions over compact have derivative with the same Lipschitz constant. Do the functions themselves have the same Lipschitz constant?

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#lipschitz-functions #sequence-of-function
117
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Proof for the pointwise limit of functions with bounded derivatives being Lipschitz

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#real-analysis #derivatives #proof-verification #lipschitz-functions

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