Results 31 to 40 of about 310,373 (322)
★-quasi-pseudometrics on algebraic structures
In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space.
Shi-Yao He, Ying-Ying Jin, Li-Hong Xie
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Algebraic structures of tropical mathematics
Tropical mathematics often is defined over an ordered cancellative monoid $\tM$, usually taken to be $(\RR, +)$ or $(\QQ, +)$. Although a rich theory has arisen from this viewpoint, cf.
Izhakian, Zur +2 more
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Numerical Radius Inequalities for Finite Sums of Operators
In this paper, we obtain some sharp inequalities for numerical radius of finite sums of operators. Moreover, we give some applications of our result in estimation of spectral radius. We also compare our results with some known results.
Mirmostafaee Alireza Kamel +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Contractions of quantum algebraic structures
A general framework for obtaining certain types of contracted and centrally extended algebras is presented. The whole process relies on the existence of quadratic algebras, which appear in the context of boundary integrable models.Comment: 6 pages, Latex.
Baxter +10 more
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Cyclic Codes over a Non-Commutative Non-Unital Ring
In this paper, we investigate cyclic codes over the ring E of order 4 and characteristic 2 defined by generators and relations as E=⟨a,b∣2a=2b=0,a2=a,b2=b,ab=a,ba=b⟩. This is the first time that cyclic codes over the ring E are studied.
Adel Alahmadi +2 more
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On Nilpotent Multipliers of Pairs of Groups [PDF]
In this paper, we determine the structure of the nilpotent multipliers of all pairs (G,N) of finitely generated abelian groups where N admits a complement in G. Moreover, some inequalities for the nilpotent multipliers of pairs of finite groups and their
Azam Hokmabadi +2 more
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A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer +3 more
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Efficient Enumeration of Higher Order Algebraic Structures
Algebraic structures are widely studied mathematical structures in abstract algebra. Enumerating higher order algebraic structures is a computationally intensive task due to large number of possible permutations and the presence of many symmetrically ...
Majid Ali Khan
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Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules
A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang +7 more
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