Results 11 to 20 of about 302,192 (337)
On the conditions of monotonicity of functions [PDF]
Fundamenta Mathematicae, 1966 Tadeusz Świa̧tkowski
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The derivative of a monotonic discontinuous function [PDF]
Proceedings of the American Mathematical Society, 1965 where fn(x) takes the values 0, 1/2, and 1 on the sets x xn, respectively. We modify his construction by replacing the coefficients 2-n with appropriate values cn. By hypothesis, { xn} = nE (Ej open, EjDEj+,). For each j, let E(U, k) } denote the family of components of Ej.
George Piranian
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Mixture functions and their monotonicity [PDF]
Information Sciences, 2019 We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need not be monotone increasing. For this reason we study su cient conditions to ensure standard, weak and directional monotonicity for ...
Jana Špirková +3 more
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On the monotonicity of the broadcast function
Discrete Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hovhannes A. Harutyunyan +1 more
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Monotone functions and maps [PDF]
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2012 30 pages. Version 2 appeared in RACSAM. In version 3 Corollaries 1 and 2 were corrected.
Nicolai Vorobjov +2 more
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Continuity of monotone functions [PDF]
Pacific Journal of Mathematics, 1982 The author has obtained the following results for real functions on the closed unit interval in the style of \textit{E. A. Bishop's} ''Foundations of constructive analysis'' (1967): (Theorem 1) For nondecreasing f the following are equivalent, pointwise continuity, uniform continuity, f is antidecreasing \((f(x)
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ON SEQUENCES OF MONOTONE FUNCTIONS [PDF]
Real Analysis Exchange, 1998 Several kinds of convergence (pointwise, uniform, a.c., transfinite) of monotone functions are studied. Namely, the author shows how an increasing function \(f:[a,b]\to \mathbb R\) can be expressed as a limit of certain sequences of monotone functions \(f_n\) converging to \(f\) in various senses.
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A Note on Superspirals of Confluent Type
Mathematics, 2020 Superspirals include a very broad family of monotonic curvature curves, whose radius of curvature is defined by a completely monotonic Gauss hypergeometric function.
Jun-ichi Inoguchi +2 more
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The spatial stability of a class of similarity solutions [PDF]
, 1984 The spatial stability of a class of exact similarity solutions of the Navier–Stokes equations whose longitudinal velocity is of the form xf′(y), where x is the streamwise coordinate and f′(y) is a function of the transverse, cross‐streamwise, coordinate ...
Brady, J. F., Durlofsky, L.
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On the monotonicity of Hilbert functions [PDF]
Rendiconti del Seminario Matematico della Università di Padova, 2018 In this paper we show that a large class of one-dimensional Cohen–Macaulay local rings (\mathcal A,\mathfrak m) has the property that if M is a maximal Cohen–Macaulay A -module ...
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