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A continuous, nowhere differentiable function
, 1992The 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
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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
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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
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Functional differentiation in the hippocampus
Hippocampus, 1998The 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
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Differential properties of power functions
International Journal of Information and Coding Theory, 2010Some 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
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Differentiability of Functionals
1985Let 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.
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On the differentiability of functions
Studia Mathematica, 1964A. Zygmund, Elias M. Stein
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Introduction to Differentiable Functions
1998We introduce differentiable functions, directional and partial derivatives, graphs and level sets of functions of several variables.
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A continuously differentiable filled function method for global optimization
Numerical Algorithms, 2014Hongwei Lin, Yuelin Gao, Yuping Wang
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Female erectile tissues and sexual dysfunction after pelvic radiotherapy: A scoping review
Ca-A Cancer Journal for Clinicians, 2022Deborah C Marshall+2 more
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