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941
Geometric Structure of the Classical Lagrange-d’Alambert Principle and Its Application to Integrable Nonlinear Dynamical Systems
Published 2017-12-01“…Especially we analyzed the related Lie-algebraic structures and integrability properties of a very interesting class of nonlinear dynamical systems called the dispersionless heavenly type equations, which were initiated by Plebański and later analyzed in a series of articles. …”
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942
Elementary definability of the class of universal hypergraphic automata in the class of semigroups
Published 2022-08-01“…So their properties are interconnected with the properties of the algebraic structures of the automata. Thus, we can study universal hypergraphic automata by investigating their semigroups of input symbols. …”
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943
Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review
Published 2009-04-01“…Fourier transforms, generalized Fourier-Stieltjes transforms, and duality relations link, respectively, the quantum groups and quantum groupoids with their dual algebraic structures; quantum double constructions are also discussed in this context in relation to quasi-triangular, quasi-Hopf algebras, bialgebroids, Grassmann-Hopf algebras and higher dimensional algebra. …”
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944
Applications of Supersymmetric Polynomials in Statistical Quantum Physics
Published 2023-12-01“…We consider a relation of equivalence for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mo mathvariant="script">ℓ</mo><mn>1</mn></msub><mrow><mo>(</mo><msub><mi mathvariant="double-struck">Z</mi><mn>0</mn></msub><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, induced by the supersymmetric polynomials, and the semi-ring algebraic structures on the quotient set with respect to this relation. …”
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945
An Enhanced Approach for the Multiple Vehicle Routing Problem with Heterogeneous Vehicles and a Soft Time Window
Published 2018-11-01“…In the area of mathematics, the theories of linear and non-linear algebraic structures and information technology are adopted. …”
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946
Solving the elusiveness of word meanings: two arguments for a continuous meaning space for language
Published 2023-06-01“…Supporting it is a parameterized space that gives rise to lexico-conceptual representations: generalized algebraic structures necessary for the identification, processing, and encoding of an individual's understanding of the world.…”
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947
From the Lorentz Transformation Group in Pseudo-Euclidean Spaces to Bi-gyrogroups
Published 2016-01-01“…The aim of this article is to extend the study of the Lorentz transformation of order (m,n) from m=1 and n≥1 to all m,n∈N, obtaining algebraic structures called a bi-gyrogroup and a bi-gyrovector space. …”
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948
Higher Order Geometric Theory of Information and Heat Based on Poly-Symplectic Geometry of Souriau Lie Groups Thermodynamics and Their Contextures: The Bedrock for Lie Group Machin...
Published 2018-11-01“…The poly-symplectic approach generalizes the Noether theorem, the existence of moment mappings, the Lie algebra structure of the space of currents, the (non-)equivariant cohomology and the classification of G-homogeneous systems. …”
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949
BASIS OF FORMATION OF SOFTWARE-MATHEMATICAL SUPPORT IN TASKS OF IT EDUCATION
Published 2018-03-01“…For a formal description of the data obtained, a representation based on the mathematical apparatus of set theory and algebraic structures was used. An authorial method for classifying the identified sources of educational information on three significant grounds is proposed. …”
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950
An approach to $$(\mu ,\nu ,\omega )$$ ( μ , ν , ω ) -single-valued neutrosophic submodules
Published 2023-01-01“…The goals of this research are to comprehend the algebraic structures of a $$(\mu ,\nu ,\omega )$$ ( μ , ν , ω ) -single-valued neutrosophic submodule of a classical module and enhance the legitimacy of this technique by discussing numerous essential aspects. …”
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951
Some Results on Neutrosophic Triplet Group and Their Applications
Published 2018-06-01“…Distinguishing features between an NTG and some other algebraic structures such as: generalized group (GG), quasigroup, loop and group were investigated. …”
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952
Surjective Identifications of Convex Noetherian Separations in Topological (<i>C</i>, <i>R</i>) Space
Published 2021-05-01“…The interplay of symmetry of algebraic structures in a space and the corresponding topological properties of the space provides interesting insights. …”
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953
Geometric Structures Generated by the Same Dynamics. Recent Results and Challenges
Published 2022-03-01“…Since the involved dynamic comes from algebraic structures on Lie groups, symmetries are present throughout the paper.…”
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954
Initial Semantics for higher-order typed syntax in Coq
Published 2011-01-01“…The nature of our theorem – involving lengthy, technical proofs and complicated algebraic structures – makes it particularly interesting for formal verification. …”
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955
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956
Higher linear algebra in topology and quantum information theory
Published 2019“…<p>We investigate categorifications of linear algebra, and their applications to the construction of 4-manifold invariants, to the construction of a variety of linear algebraic structures in quantum information theory, and to the classification of certain instances of `quantum pseudo-telepathy', a phenomenon in quantum physics where two non-communicating parties can use pre-shared entanglement to perform tasks classically impossible without communicating. …”
Thesis -
957
Efficient algorithms for compressed sensing and matrix completion
Published 2014“…The computational efficacy of this method is achieved by reducing the high per iteration computational cost of the second order method and fully exploring the numerical linear algebra structure in the algorithm. Empirical evaluations establish the effectiveness of the proposed algorithms, compared with other state-of-the-art algorithms.…”
Thesis -
958
Algebraic Geometry over C-infinity rings
Published 2009“…Thus, C^\infty(X) actually has a far richer structure than the obvious R-algebra structure. We develop a version of algebraic geometry in which rings or algebras are replaced by C-infinity rings. …”
Journal article -
959
Completely iterative monads in semantics of coinductive programs
Published 2014“…Thus, the results apply not only to semantics and programming, but can be construed as a general investigation of algebraic structures with iteration.</p>…”
Thesis -
960
Algebraic geometry over $C^\infty$-rings
Published 2019“…Thus, $C^\infty(X)$ actually has a far richer structure than the obvious $\mathbb R$-algebra structure. We develop a version of algebraic geometry in which rings or algebras are replaced by $C^\infty$-rings. …”
Journal article