Results 11 to 20 of about 16,858,371 (288)
Dieudonné's theorem for non-additive set functions [PDF]
Journal of Mathematical Analysis and Applications, 2010 \({\mathcal A}\) is an algebra of subsets of a set \(X\), with a join semilattice \({\mathcal F} \subseteq{\mathcal A}\) and a meet semilattice \({\mathcal G} \subseteq{\mathcal A}\), \({\mathbf S} = ({\mathcal S},{\mathcal U})\) is a complete Hausdorff uniform space with an arbitrarily fixed point \(e\) and \(\mathcal{U}[e]\) a fundamental system of \(
Ventriglia, F.
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ON THE EXTENSION OF NON-ADDITIVE SET FUNCTIONS
Vestnik of Samara University. Natural Science Series, 2017 In this paper we prove theorems on the extension of non-additive set functions domain of definition of which, generally speaking, is not a ring, on the sigma-ring of sets. It is shown that continuous from the top at zero, the exhaustive compositional submersion of the first or second kind can be continued from the multiplicative class of sets to the ...
T. A. Sribnaya
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Convexity of the Capacity of One-Bit Quantized Additive White Gaussian Noise Channels
Mathematics, 2022 In this study, the maximum error-free transmission rate of an additive white Gaussian noise channel with a symmetric analog-to-digital converter (ADC) was derived as a composite function of the binary entropy function, Gaussian Q-function, and the square
Sungmin Lee, Moonsik Min
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UnifiedFace: A Uniform Margin Loss Function for Face Recognition
Applied Sciences, 2023 Face recognition has achieved great success due to the development of deep convolutional neural networks (DCNNs) and loss functions based on margin. However, complex DCNNs bring a large number of parameters as well as computational effort, which pose a ...
Feng Zhao +3 more
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Journal of Inequalities and Applications, 2017 Using the existence of solutions for equilibrium equations with a Neumann type boundary condition as developed by Shi and Liao (J. Inequal. Appl. 2015:363, 2015), we obtain the Riesz integral representation for continuous linear maps associated with ...
Zhaoqi Ji +3 more
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Brain Sciences, 2023 Developmental dyslexia can be viewed as the result of the effects of single deficits or multiple deficits. This study presents a test of the applicability of a multifactor-interactive model (MFi-M) with a preliminary set of five variables corresponding ...
Maria Luisa Lorusso, Alessio Toraldo
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Convex Analysis for Minimizing and Learning Submodular Set Functions [PDF]
, 2013 The connections between convexity and submodularity are explored, for purposes of minimizing and learning submodular set functions. First, we develop a novel method for minimizing a particular class of submodular functions, which can be expressed as a
Peter Stobbe, Stobbe, Peter
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Normal lattices and coseparation of lattices
International Journal of Mathematics and Mathematical Sciences, 1997 Let X be an arbitrary non-empty set, and let ℒ be a lattice of subsets of X such that ∅, X∈ℒ. We first summarize a number of known conditions which are equivalent to ℒ being normal.
Barry B. Mittag
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Mathematics, 2023 In biomedical research, identifying genes associated with diseases is of paramount importance. However, only a small fraction of genes are related to specific diseases among the multitude of genes.
Sumin Hou, Hao Lv
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Optimization of Packing Irregular Three-Dimensional Objects
Кібернетика та комп'ютерні технології, 2023 Introduction. Nowadays the irregular packing problem is becoming more important, since effective space management and optimal arrangement of objects are becoming key factors for ensuring efficiency and saving resources in a wide range of applications, e ...
Tetyana Romanova +4 more
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