Results 131 to 140 of about 1,414,924 (189)
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
, 2013 We construct a special type of quantum soliton solutions for quantized affine Toda models. The elements of the principal Heisenberg subalgebra in the affinised quantum Lie algebra are found.
Zuevsky, Alexander
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Novel Bernstein‐Kantorovich Type Operators
Mathematical Methods in the Applied Sciences, Volume 49, Issue 16, Page 17069-17095, 15 November 2026.ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as K β n , θ $$ {K}_{\beta}^{n,\theta } $$ , parameterized by 0 < β < 1 $$ 0<\beta <1 $$ and θ > 0 $$ \theta >0 $$ . We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for K β ...
Pembe Sabancigil, Nazim I. Mahmudov
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Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
Advanced Science, Volume 13, Issue 62, 9 November 2026.A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
wiley +1 more source
Quantum double and multiparameter quantum groups
, 1994 After Drinfel'd and Jimbo's construction of quantized universal enveloping algebra associated to each complex simple Lie algebra, larger classes of quasitriangular Hopf algebras as been found and studied.
COSTANTINI, MAURO, Varagnolo M.
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Advanced Physics Research, Volume 5, Issue 11, November 2026.This graphical abstract illustrates the unified framework of Data Field Theory (DFT), integrating hyperbolic geometry for hierarchical embedding, gauge theory for internal symmetries, renormalization group for multi‐scale dynamics, Lévy processes for heavy‐tailed fluctuations, noncommutative geometry for quantum‐inspired cognition, and higher ...
Mohammadreza Nehzati
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Quantum Algebras and Quantum Physics
, 2001 In Quantum Mechanics operators must be hermitian and, in a direct product space, symmetric. These properties are saved by Lie algebra operators but not by those of quantum algebras. A possible correspondence between observables and quantum algebra operators is suggested by extending the definition of matrix elements of a physical observable, including ...
Celeghini, E., del Olmo, M. A.
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A Chaos‐Driven Image Encryption Method With Möbius Transformations and Finite‐Ring Diffusion
Engineering Reports, Volume 8, Issue 11, November 2026.This paper presents a lightweight yet highly secure image encryption framework integrating chaotic dynamics, HKDF‐S3 key expansion, and Möbius‐Affine transformations. The proposed scheme achieves strong confusion and diffusion with minimal computational cost, demonstrating high resistance to differential and chosen‐plaintext attacks through dynamic key
Nayeem Ahmad Khan +4 more
wiley +1 more source
Elementos de algebras de Hopf [PDF]
, 2009 TCC (graduação) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Curso de Matemática.Neste trabalho apresentamos os elementos que comp~oem as algebras de Hopf.
Boff , Paulo Ricardo
core
A Common External Framework for Kleene and McCarthy Algebras
Mathematical Logic Quarterly, Volume 72, Issue 4, November 2026.ABSTRACT Algebras of disjoint alternatives (ADAs), introduced by Manes, are extensions of McCarthy algebras by a unary operator acting as an oracle for the halting problem, and provide a semantics for the equational theory of the if–then–else construct.
Gandolfo Vergottini +2 more
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