Results 281 to 290 of about 13,863,270 (332)

The improper infinite derivatives of Takagi's nowhere-differentiable function [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2010
Let T be Takagi's continuous but nowhere-differentiable function. Using a representation in terms of Rademacher series due to N. Kono, we give a complete characterization of those points where T has a left-sided, right-sided, or two-sided infinite ...
Pieter C Allaart
exaly   +3 more sources

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

Computer Graphics Forum, 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.
Zhengxing Sun
exaly   +2 more sources

Differentiable signed distance function rendering

ACM Transactions on Graphics, 2022
Physically-based differentiable rendering has recently emerged as an attractive new technique for solving inverse problems that recover complete 3D scene representations from images.
Delio Vicini   +2 more
semanticscholar   +1 more source

A probabilistic property of Katsuura's continuous nowhere differentiable function

open access: yesJournal of Mathematical Analysis and Applications, 2009
Katsuura's example of a continuous nowhere differentiable function is based on a fixed-point method.
Lewis, Thomas M.
exaly   +2 more sources

A Necessary and Sufficient Condition for Minimizing a Convex Fréchet Differentiable Function on a Certain Hyperplane

open access: yesJournal of Mathematical Analysis and Applications, 2001
A convex Fréchet differentiable function is minimized subject to a certain hyperplane at a point if the function is minimized in all directions which are defined by a finite set of vectors.
Yi-Hsin Liu, Valentin Matache
exaly   +2 more sources

Non-Differentiable Function Tracking

open access: yesIEEE Transactions on Circuits and Systems II: Express Briefs, 2019
Shyam Kamal   +2 more
exaly   +2 more sources

On the Composition of Differentiable Functions

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
openaire   +1 more source

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