Results 21 to 30 of about 640,277 (338)
The differentiation of a function of a function [PDF]
Bulletin of the American Mathematical Society, 1923 If z is a function of y having a differential coefficient at a certain point, and y is a function of x having a differential coefficient at the corresponding point, then z is a function of x having a differential coefficient at that point, and this differential coefficient is given by the formulaThis theorem, thought not always stated so carefully ...
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Rational taxation in an open access fishery model
Archives of Control Sciences, 2017 We consider a model of fishery management, where n agents exploit a single population with strictly concave continuously differentiable growth function of Verhulst type.
Rokhlin Dmitry B., Usov Anatoly
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E-B-invexity in E-differentiable mathematical programming
Results in Control and Optimization, 2021 In this paper, a new concept of generalized convexity is introduced for (not necessarily) differentiable optimization problem with E-differentiable functions. Namely, for an E-differentiable function, the concept of E-B-invexity is defined.
Najeeb Abdulaleem
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DIFFERENTIALS OF FUZZY FUNCTIONS
Journal of Mathematical Analysis and Applications, 1983 AbstractIn this paper the Rådström embedding theorem (Proc. Amer. Math. Soc. 3 (1952), 165) is generalized and is used to define the concept of the differential of a fuzzy function.
Madan L. Puri, Dan A. Ralescu
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On boundedly-convex functions on pseudo-topological vector spaces
International Journal of Mathematics and Mathematical Sciences, 2000 Notions of a boundedly convex function and of a Lipschitz-continuous function are extended to the case of functions on pseudo-topological vector spaces.
Vladimir Averbuch
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Differentiating matrix functions [PDF]
Operators and Matrices, 2013 Multivariable, real-valued functions induce matrix-valued functions defined on the space of d-tuples of n-times-n pairwise-commuting self-adjoint matrices. We examine the geometry of this space of matrices and conclude that the best notion of differentiation of these matrix-valued functions is differentiation along curves.
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Some properties of differentiable p-adic functions [PDF]
arXiv, 2022 In this paper, using the tools from the lineability theory, we distinguish certain subsets of $p$-adic differentiable functions. Specifically, we show that the following sets of functions are large enough to contain an infinite dimensional algebraic structure: (i) continuously differentiable but not strictly differentiable functions, (ii) strictly ...
arxiv
A Novel Robust State Estimator Based on Rectangular Pulse Function
IEEE Access, 2019 In this paper, a novel robust state estimator (RSE) based on rectangular pulse function (RPF) is proposed considering the uncertainty in the measurements, leading an ideal RPF estimator. The goal of the proposed ideal RPF estimator is to find an estimate
Yanbo Chen +6 more
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Differentiability of the $n$-Variable Function Deduced by the Differentiability of the $n-1$-Variable Function [PDF]
arXiv, 2021 In this paper, some sufficient conditions for the differentiability of the $n$-variable real-valued function are obtained, which are given based on the differentiability of the $n-1$-variable real-valued function and are weaker than classical conditions.
arxiv
Differentiable extensions of functions
Differential Geometry and its Applications, 1993 AbstractThose functions on arbitrary subsets of R, which admit smooth extensions to R, as well as those, which admit k-times differentiable extension having locally Lipschitzian derivatives, are characterized in terms of a simple boundedness condition on the difference quotients.
Frolicher, Alfred, Kriegl, Andréas
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