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A continuous, nowhere differentiable function

, 1992
The examples of continuous, nowhere differentiable functions given in most analysis and topology texts involve the uniform limit of a series of functions in the former and the Baire category theorem in the latter. Below we give a simple example of such a
M. Lynch
semanticscholar   +1 more source

A recurrent neural network for nonlinear optimization with a continuously differentiable objective function and bound constraints

IEEE Trans. Neural Networks Learn. Syst., 2000
This paper presents a continuous-time recurrent neural-network model for nonlinear optimization with any continuously differentiable objective function and bound constraints. Quadratic optimization with bound constraints is a special problem which can be
Xue-Bin Liang, Jun Wang
semanticscholar   +1 more source

Functional differentiation in the hippocampus

Hippocampus, 1998
The hippocampus is critically involved in certain kinds of memory. During memory formation, it may operate as an integrated unit, or isolated parts may be responsible for different functions. Recent evidence suggests that the hippocampus is functionally differentiated along its dorsoventral (septotemporal) axis. The cortical and subcortical connections
May-Britt Moser, Edvard I. Moser
openaire   +2 more sources

Differential properties of power functions

International Journal of Information and Coding Theory, 2010
Some properties of power permutations, that is, monomials bijective mappings on F2n , are investigated. In particular, the differential spectrum of these functions is shown to be of great interest for estimating their resistance to some variants of differential cryptanalysis.
Blondeau, Céline   +2 more
openaire   +9 more sources

Differentiability of Functionals

1985
Let β be the basic family of p-measures. Given an arbitrary set U, let k: β → ℝ U be a functional, assigning to each p-measure P a real-valued function on U, say u → k(u, P) ∈ ℝ.
openaire   +2 more sources

On the differentiability of functions

Studia Mathematica, 1964
A. Zygmund, Elias M. Stein
openaire   +2 more sources

Introduction to Differentiable Functions

1998
We introduce differentiable functions, directional and partial derivatives, graphs and level sets of functions of several variables.
openaire   +2 more sources

A continuously differentiable filled function method for global optimization

Numerical Algorithms, 2014
Hongwei Lin, Yuelin Gao, Yuping Wang
semanticscholar   +1 more source

Female erectile tissues and sexual dysfunction after pelvic radiotherapy: A scoping review

Ca-A Cancer Journal for Clinicians, 2022
Deborah C Marshall   +2 more
exaly  

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