Results 21 to 30 of about 7,927 (148)
On the nonexistence of linear perfect Lee codes
, 2019 In 1968, Golomb and Welch conjectured that there does not exist perfect Lee code in $\mathbb{Z}^{n}$ with radius $r\ge2$ and dimension $n\ge3$. Besides its own interest in coding theory and discrete geometry, this conjecture is also strongly related to ...
Zhang, Tao, Zhou, Yue
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Algebras of Binary Isolating Formulas for Homomorphic Product Theories
Известия Иркутского государственного университета: Серия "Математика"Algebras of distributions of binary isolating and semi-isolating formulas are objects that are derived for a given theory, and they specify the relations between binary formulas of the theory.
D.Yu. Emel’yanov
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Journal of Algebra, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Holomorphic functions in generalized Cayley-Dickson algebras
, 2014 In this paper we investigated holomorphic functions (belonging to the kernel of the Dirac operator) in Cayley-Dickson algebras. For this purpose, we study the structure of Cayley-Dickson algebras. We also provide an algorithm for the construction of such
Flaut, Cristina, Shpakivskyi, Vitalii
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Distance-regular Cayley graphs with small valency
, 2019 We consider the problem of which distance-regular graphs with small valency are Cayley graphs. We determine the distance-regular Cayley graphs with valency at most $4$, the Cayley graphs among the distance-regular graphs with known putative intersection ...
Jazaeri, Mojtaba, van Dam, Edwin R.
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Algebras of binary isolating formulas for theories of modular products of graphs
Қарағанды университетінің хабаршысы. Математика сериясыThis article discusses the problems of constructing and classifying algebras generated by modular products of cycles. We demonstrate that algebras of binary isolating, used to analyze relationships between binary formulas of a theory, can be naturally ...
D.Y. Emelyanov
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Optimal Networks from Error Correcting Codes
, 2013 To address growth challenges facing large Data Centers and supercomputing clusters a new construction is presented for scalable, high throughput, low latency networks.
Tomic, Ratko V.
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Journal of Raman Spectroscopy, EarlyView.This work investigates the change in optical and electronic properties of monolayer MoS2 through the coupling of its excitons and a plasmonic fractal structure. The formation of the heterostructure shows significant enhancement on the edge of the fractal pattern relative to off, owing to the enhanced electric field at the edge of the branches.
Zeiad Saad +3 more
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Fredman’s reciprocity, invariants of abelian groups, and the permanent of the Cayley table [PDF]
Journal of Algebraic Combinatorics, 2010 15 pages, to appear in Journal of Algebraic ...
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Consistent Quadratic Phase Formation in 3D Fast Spin Echo Using Frequency‐Modulated RF Pulses
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Frequency‐modulated (FM) RF pulses achieve broadband excitation with low RF peak power, which is required in MRI with inhomogeneous magnetic fields. However, the quadratic phase generated with FM pulses makes it difficult to use them in fast spin echo (FSE), because even and odd refocused echoes have different spatial phase profiles ...
Naoharu Kobayashi, Michael Garwood
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