Results 271 to 280 of about 12,295,312 (324)

DFR: Differentiable Function Rendering for Learning 3D Generation from Images

Computer graphics forum (Print), 2020
Learning‐based 3D generation is a popular research field in computer graphics. Recently, some works adapted implicit function defined by a neural network to represent 3D objects and have become the current state‐of‐the‐art.
Yunjie Wu, Zhengxing Sun
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Evaluating an element of the Clarke generalized Jacobian of a composite piecewise differentiable function

TOMS, 2013
Bundle methods for nonsmooth optimization and semismooth Newton methods for nonsmooth equation solving both require computation of elements of the (Clarke) generalized Jacobian, which provides slope information for locally Lipschitz continuous functions.
Kamil A. Khan, P. I. Barton
semanticscholar   +1 more source

On the Composition of Differentiable Functions [PDF]

Canadian Mathematical Bulletin, 2003
AbstractWe prove that a Banach space X has the Schur property if and only if every X-valued weakly differentiable function is Fréchet differentiable. We give a general result on the Fréchet differentiability of f ○ T, where f is a Lipschitz function and T is a compact linear operator. Finally we study, using in particular a smooth variational principle,
Bachir, Mohammed, Lancien, Gilles
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The first and second kind chebyshev coefficients of the moments for the general order derivative on an infinitely differentiable function

, 1994
Expressions for the first and second kinds Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function in terms of its Chebyshev coefficients are given.
E. H. Doha
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On the legendre coefficients of the moments of the general order derivative of an infinitely differentiable function

International Journal of Computational Mathematics, 1995
Formulae for the Legendre coefficients of the moments of the general order derivative of an infinitely differentiable function in terms of its Legendre coefficients are derived. Two numerical applications of how to use these formulae for solving ordinary
E. H. Doha, S. El-Soubhy
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An Everywhere Continuous Nowhere Differentiable Function

, 1953
where g(x) = 1 + x for −2 ≤ x ≤ 0, g(x) = 1− x for 0 ≤ x ≤ 2 and g(x) has period 4. The function f(x) is continuous because it is the uniform limit of continuous functions.
J. Mccarthy
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Differentiation of Functions

2016
We can now begin the rigorous treatment of calculus in earnest, starting with the notion of a derivative. We can now define derivatives analytically, using limits, in contrast to the geometric definition of derivatives, which uses tangents. The advantage of working analytically is that (a) we do not need to know the axioms of geometry, and (b) these ...
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On a functional differential equation

Lobachevskii Journal of Mathematics, 2017
© 2017, Pleiades Publishing, Ltd.Conditions for the existence and uniqueness of a solution to a problem for a functional differential equation are presented. A special case of this equation is a functional differential equation derived previously by the authors for the distribution density of the brightness of light in interstellar space in the case of
Evlampiev N., Sidorov A., Filippov I.
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On the Legendre Coefficients of a General-Order Derivative of an Infinitely Differentiable Function

, 1988
On etablit une relation entre les coefficients de Legendre d'une derivee generale d'une fonction indefiniment derivable et les coefficients de Legendre de la fonction elle ...
T. Phillips
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New Results on a Continuously Differentiable Exact Penalty Function

SIAM Journal on Optimization, 1992
The main motivation of this paper is to weaken the conditions that imply the correspondence between the solution of a constrained problem and the unconstrained minimization of a continuously differentiable function.In particular, a new continuously ...
S. Lucidi
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