Results 11 to 20 of about 2,070,767 (336)
On Qi’s Normalized Remainder of Maclaurin Power Series Expansion of Logarithm of Secant Function
AxiomsIn the study, the authors introduce Qi’s normalized remainder of the Maclaurin power series expansion of the function lnsecx=−lncosx; in view of a monotonicity rule for the ratio of two Maclaurin power series and by virtue of the logarithmic convexity of
Hong-Chao Zhang, Bai-Ni Guo, Wei-Shih Du
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Monotonic computation rules for nonassociative calculus
, 2020 In this paper we revisit the so-called computation rules for calculus using a single nonassociative binary operation over possibly infinite sequences of integers. In this paper we focus on the symmetric maximum that is an extension of the usual maximum ∨ so that 0 is the neutral element, and −x is the symmetric (or inverse) of x, i.e., x (−x) = 0 ...
Miguel Couceiro, Michel Grabisch
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A Monotonicity Theorem and a Bernoulli-L’Hospital-Ostrowski Rule [PDF]
Canadian Mathematical Bulletin, 1984 AbstractIt is proved that a function is nondecreasing if it is Baire one and Darboux and fulfills Lusin’s condition (N), and if its derivative is non-negative for almost every point at which the function is derivable. Using this result, a process to formulate various results on the existence and the valuation of indeterminate forms via various ...
C. M. Lee
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An Accelerator for Rule Induction in Fuzzy Rough Theory [PDF]
IEEE transactions on fuzzy systems, 2021 Rule-based classifier, that extract a subset of induced rules to efficiently learn/mine while preserving the discernibility information, plays a crucial role in human-explainable artificial intelligence.
Suyun Zhao +6 more
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Update monotone preference rules [PDF]
Mathematical Social Sciences, 2013 Collective decisions are modeled by preference correspondences (rules). In particular, we focus on a new condition: "update monotonicity" for preference rules. Although many so-called impossibility theorems for the choice rules are based on - or related to - monotonicity conditions, this appealing condition is satisfied by several non-trivial ...
Can Burak, Storcken Ton
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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AIMS Mathematics, 2021 In this paper, optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type are established using the monotone form of L'Hospital's rule and the criterion for the monotonicity of the quotient of power ...
Ling Zhu, Branko Malešević
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Averaged null energy and the renormalization group
Journal of High Energy Physics, 2023 We establish a connection between the averaged null energy condition (ANEC) and the monotonicity of the renormalization group, by studying the light-ray operator ∫ duT uu in quantum field theories that flow between two conformal fixed points.
Thomas Hartman, Grégoire Mathys
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Maskin-monotonic scoring rules [PDF]
Social Choice and Welfare, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dogan, Battal, Koray, Semih
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Generalizations of Shafer-Fink-Type Inequalities for the Arc Sine Function
Journal of Inequalities and Applications, 2009 We give some generalizations of Shafer-Fink inequalities, and prove these inequalities by using a basic differential method and l'Hospital's rule for monotonicity.
Pan Wenhai, Zhu Ling
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