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On differentiable functions [PDF]
Bulletin of the American Mathematical Society, 1960 2. In this note, we intend to give a more detailed description of Eap. We prove the following THEOREM. The set Eap gives rise to a set of nonoverlapping and nonabutting open sub-intervals {/ 0 . Thus, each point of Eap is a limiting point of the set. I.e., EapQE'ap.
Fu Cheng Hsiang
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Composite differentiable functions [PDF]
Duke Mathematical Journal, 1996 19 pages, hard copy available on request.
Bierstone, Edward +2 more
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Differentiable comparative statics with payoff functions not differentiable everywhere [PDF]
, 2001 In this note we consider Cournot oligopoly. Due to the consideration of several consumers and/ or technologies, the profit function is not differentiable everywhere.
Corchón, Luis C.
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Differentially transcendental functions [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008 The aim of this paper is to exhibit a method for proving that certain analytic functions are not solutions of algebraic differential equations. The method is based on model-theoretic properties of differential fields and properties of certain known transcendental differential functions, as of $ (x)$.
Mijajlović, Žarko, Malešević, Branko
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A Note on Differentiable Functions [PDF]
Proceedings of the American Mathematical Society, 1978 This paper provides a proof that the class of those real functions f for which there exists a change of variable g so that f ∘ g f \circ g is differentiable coincides with the class of continuous functions which are of generalized bounded variation in the restricted sense.
Richard J. Fleissner, James Foran
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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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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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Differentiability of the arithmetic volume function [PDF]
, 2008 We introduce the positive intersection product in Arakelov geometry and prove that the arithmetic volume function is continuously differentiable. As applications, we compute the distribution function of the asymptotic measure of a Hermitian line bundle ...
Chen, Huayi
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On Differentiable Functionals [PDF]
The Annals of Statistics, 1991 Given a sample of size $n$ from a distribution $P_\lambda$, one wants to estimate a functional $\psi(\lambda)$ of the (typically infinite-dimensional) parameter $\lambda$. Lower bounds on the performance of estimators can be based on the concept of a differentiable functional $P_\lambda \rightarrow \psi(\lambda)$.
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Differentiation of Interval Functions [PDF]
Proceedings of the American Mathematical Society, 1972 This paper is concerned with differentiation of interval functions appearing in interval analysis. Two definitions of a derivative are given; the first one uses an isometric restricted imbedding of the quasilinear space of intervals on the real line R, and the other definition is independent ofthat imbedding.
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