Results 21 to 30 of about 329,265 (363)
Monotonicity properties for a ratio of finite many gamma functions
Advances in Difference Equations, 2020 In the paper, the authors consider a ratio of finite many gamma functions and find its monotonicity properties such as complete monotonicity, the Bernstein function property, and logarithmically complete monotonicity.
Feng Qi, Dongkyu Lim
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HELP: A Dataset for Identifying Shortcomings of Neural Models in Monotonicity Reasoning [PDF]
International Workshop on Semantic Evaluation, 2019 Large crowdsourced datasets are widely used for training and evaluating neural models on natural language inference (NLI). Despite these efforts, neural models have a hard time capturing logical inferences, including those licensed by phrase replacements,
Hitomi Yanaka +6 more
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Existence, duality, and cyclical monotonicity for weak transport costs [PDF]
Calculus of Variations and Partial Differential Equations, 2018 The optimal weak transport problem has recently been introduced by Gozlan et al. (J Funct Anal 273(11):3327–3405, 2017). We provide general existence and duality results for these problems on arbitrary Polish spaces, as well as a necessary and sufficient
J. Backhoff‐Veraguas +2 more
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Local monotonicity coefficients in Orlicz sequence spaces equipped with the p-Amemiya norm
Journal of Inequalities and Applications, 2020 In this paper, the monotonicity is investigated with respect to Orlicz sequence space l Φ , p $l_{\varPhi , p}$ equipped with the p-Amemiya norm, and the necessary and sufficient condition is obtained to guarantee the uniform monotonicity, locally ...
Xin He, Yunan Cui, Henryk Hudzik
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Schur-power convexity of integral mean for convex functions on the coordinates
Open Mathematics, 2023 In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
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Polyhedral complementarity problem with quasimonotone decreasing mappings [PDF]
Yugoslav Journal of Operations Research, 2023 The fixed point problem of piecewise constant mappings in Rn is investigated. This is a polyhedral complementarity problem, which is a generalization of the linear complementarity problem.
Shmyrev Vadim I.
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Monotonicity of nonpluripolar products and complex Monge–Ampère equations with prescribed singularity [PDF]
Analysis & PDE, 2017 We establish the monotonicity property for the mass of non-pluripolar products on compact Kahler manifolds, and we initiate the study of complex Monge-Ampere type equations with prescribed singularity type. Using the variational method of Berman-Boucksom-
Tam'as Darvas, E. Nezza, Chinh H. Lu
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Uniqueness and monotonicity of solutions for fractional equations with a gradient term
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we consider the following fractional equation with a gradient term $$(-\Delta)^{s} u(x)= f(x,u (x), \nabla u (x)),$$ in a bounded domain and the upper half space.
Pengyan Wang
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Stochastic Monotonicity and Realizable Monotonicity
The Annals of Probability, 2001 We explore and relate two notions of monotonicity, stochastic and realizable, for a system of probability measures on a common finite partially ordered set (poset) S when the measures are indexed by another poset A. We give counterexamples to show that the two notions are not always equivalent, but for various large classes of S we also present ...
Fill, James Allen, Machida, Motoya
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The Annals of Statistics, 1977 Random variables $X$ and $Y$ are mutually completely dependent if there exists a one-to-one function $g$ for which $P\lbrack Y = g(X)\rbrack = 1.$ An example is presented of a pair of random variables which are mutually completely dependent, but "almost" independent.
Kimeldorf, George, Sampson, Allan R.
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