Results 11 to 20 of about 2,164,697 (95)
Sidonicity and variants of Kaczmarz's problem [PDF]
, 2016 We prove that a uniformly bounded system of orthonormal functions satisfying the $\psi_2$ condition: (1) must contain a Sidon subsystem of proportional size, (2) must satisfy the Rademacher-Sidon property, and (3) must have its 5-fold tensor satisfy the ...
Bourgain, Jean, Lewko, Mark
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On Submodularity and Controllability in Complex Dynamical Networks
, 2016 Controllability and observability have long been recognized as fundamental structural properties of dynamical systems, but have recently seen renewed interest in the context of large, complex networks of dynamical systems.
Cortesi, Fabrizio L. +2 more
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Harmonic morphisms from the Grassmannians and their non-compact duals
, 2006 In this paper we give a unified framework for the construction of complex valued harmonic morphisms from the real, complex and quaternionic Grassmannians and their non-compact duals.
Gudmundsson, Sigmundur, Svensson, Martin
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A Broad Class of Discrete-Time Hypercomplex-Valued Hopfield Neural Networks
, 2019 In this paper, we address the stability of a broad class of discrete-time hypercomplex-valued Hopfield-type neural networks. To ensure the neural networks belonging to this class always settle down at a stationary state, we introduce novel hypercomplex ...
de Castro, Fidelis Zanetti +1 more
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Introduction to the Maple Power Tool Intpakx [PDF]
, 2007 The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006The Maple Power Tool intpakX [24] de nes Maple types for real intervals and complex disc intervals.
Krämer, Walter
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Baire classes of affine vector-valued functions
, 2016 We investigate Baire classes of strongly affine mappings with values in Fr\'echet spaces. We show, in particular, that the validity of the vector-valued Mokobodzki's result on affine functions of the first Baire class is related to the approximation ...
Kalenda, Ondřej F. K., Spurný, Jiří
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Modeling of complex-valued Wiener systems using B-spline neural network
, 2011 In this brief, a new complex-valued B-spline neural network is introduced in order to model the complex-valued Wiener system using observational input/output data. The complex-valued nonlinear static function in the Wiener system is represented using the
Chen, Sheng, Hong, Xia
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, 2017 We use an elliptic system of equations with complex coefficients for a set of complex-valued tensor fields as a tool to construct infinite-dimensional families of non-singular stationary black holes, real-valued Lorentzian solutions of the Einstein ...
Chruściel, Piotr T. +2 more
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Hypercomplex Algebras and their application to the mathematical formulation of Quantum Theory [PDF]
, 2014 Quantum theory (QT), namely in terms of Schr\"odinger's 1926 wave functions in general requires complex numbers to be formulated. However, it soon turned out to even require some hypercomplex algebra. Incorporating Special Relativity leads to an equation
Hertig, Torsten +2 more
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The analytic continuation of volume and the Bellows conjecture in Lobachevsky spaces
, 2015 A flexible polyhedron in an n-dimensional space of constant curvature, namely, in the Euclidean space, or in the Lobachevsky space, or in the sphere, is a polyhedron with rigid (n-1)-dimensional faces and hinges at (n-2)-dimensional faces.
Gaifullin, Alexander A.
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