Extensions of dissipative operators with closable imaginary part [PDF]
Opuscula Mathematica, 2021 Given a dissipative operator \(A\) on a complex Hilbert space \(\mathcal{H}\) such that the quadratic form \(f \mapsto \text{Im}\langle f, Af \rangle\) is closable, we give a necessary and sufficient condition for an extension of \(A\) to still be ...
Christoph Fischbacher
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Explicitly solvable systems of two autonomous first-order Ordinary Differential Equations with homogeneous quadratic right-hand sides [PDF]
Open Communications in Nonlinear Mathematical Physics, 2021 After tersely reviewing the various meanings that can be given to the property of a system of nonlinear ODEs to be solvable, we identify a special case of the system of two first-order ODEs with homogeneous quadratic right-hand sides which is explicitly ...
Francesco Calogero, Farrin Payandeh
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Existence of Split Property in Quaternion Algebra Over Composite of Quadratic Fields
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Quaternions are extensions of complex numbers that are four-dimensional objects. Quaternion consists of one real number and three complex numbers, commonly denoted by the standard vectors and .
Muhammad Faldiyan +2 more
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Coordination of Home Appliances for Demand Response: An Improved Optimization Model and Approach
IEEE Access, 2021 Home appliances constitute an interesting source of flexibility for demand response programs. However, their control and coordination are challenging, since typically a high number of such appliances has to be aggregated in order to provide a sufficient ...
Steffen Limmer +3 more
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Parallel machine arithmetic for recurrent number systems in non-quadratic fields [PDF]
Компьютерная оптика, 2020 The paper proposes a new method of synthesis of computer arithmetic systems for "error-free" parallel calculations. The difference between the proposed approach and calculations in traditional systems of Residue Number Systems for the direct sum of ...
Vladimir Chernov
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Electroweak phase transition triggered by fermion sector
Journal of High Energy Physics, 2022 To realize first-order electroweak phase transition, it is necessary to generate a barrier in the thermal Higgs potential, which is usually triggered by scalar degree of freedom. We instead investigate phase transition patterns in pure fermion extensions
Qing-Hong Cao +4 more
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Quadratic Maps and Bockstein Closed Group Extensions [PDF]
, 2006 We study central extensions E of elementary abelian 2-groups by elementary abelian 2-groups. Associated to such an extension is a quadratic map which determines the extension uniquely. The components of the map determine a quadratic ideal in a polynomial
Pakianathan, Jonathan, Yalcin, Ergun
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FINITE ELEMENT IMPLEMENTATION OF GEOMETRICALLY NONLINEAR CONTACT
Acta Polytechnica CTU Proceedings, 2021 The OOFEM finite element software has been recently updated to include contact algorithms for small strain applications. In this work, we attempt to extend the contact algorithms to large strain problems.
Ondřej Faltus, Martin Horák
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Entire solutions for several general quadratic trinomial differential difference equations
Open Mathematics, 2021 This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms.
Luo Jun, Xu Hong Yan, Hu Fen
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On automorphism group of free quadratic extensions over a ring
International Journal of Mathematics and Mathematical Sciences, 1984 Let R be a ring with 1, ρ an automorphism of R of order 2. Then a normal extension of the free quadratic extension R[x,ρ] with a basis {1,x} over R with an R-automorphism group G is characterized in terms of the element (x−(x)α) for α in G.
George Szeto
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