Results 41 to 50 of about 7,927 (148)

A Standard Generator/Parity Check Matrix for Codes from the Cayley Tables Due to the Non-associative (123)-Avoiding Patterns of AUNU Numbers [PDF]

Universal Journal of Applied Mathematics, 2016
In this paper, we aim at utilizing the Cayley tables demonstrated by the Authors[1] in the construction of a Generator/Parity check Matrix in standard form for a Code say C Our goal is achieved first by converting the Cayley tables in [1] using Mod2 arithmetic into a Matrix with entries from the binary field.
Ibrahim A.A, Chun P.B, Abubakar S.I, Garba A.I, Mustafa A.   +4 more
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The Cayley-Dickson process for dialgebras

, 2012
We adapt the algorithm of Kolesnikov and Pozhidaev, which converts a polynomial identity for algebras into the corresponding identities for dialgebras, to the Cayley-Dickson doubling process.
Juana Sánchez-ortega, K. Kinyon, Michael, Murray R. Bremner, Raúl Felipe, Raúl Felipe-sosa   +5 more
core   +2 more sources

Universal Formulae for Percolation Thresholds

, 1996
A power law is postulated for both site and bond percolation thresholds. The formula writes $p_c=p_0[(d-1)(q-1)]^{-a}d^{\ b}$, where $d$ is the space dimension and $q$ the coordination number.
C. Domb}, D. S. Gaunt, D. S. Gaunt, D. S. Gaunt, D. Stauffer, D. Stauffer}, J. Adler}, J. W. Essam}, J. W. Essam}, M. E. Fisher, M. E. Fisher}, M. F. Sykes, M. Gouker, M. Sahimi, M. Sahimi}, P. J. Flory}, P. J. Flory}, P. J. Flory}, R. E. Plotnick, R. Zallen}, S. Galam, S. Galam, S. R. Broadbent, V. A. Vyssotsky   +23 more
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On the cohomology of some exceptional symmetric spaces

, 2016
This is a survey on the construction of a canonical or "octonionic K\"ahler" 8-form, representing one of the generators of the cohomology of the four Cayley-Rosenfeld projective planes.
A. Borel, A. Borel, A. Moroianu, C.R. LeBrun, F.L. Zak, H. Toda, K. Galicki, K. Ishitoya, K. Ishitoya, K. Ishitoya, L. Ornea, M. Berger, M. Castrillón López, M. Castrillón López, M. Nakagawa, M. Parton, M. Parton, S. Araki, S.M. Salamon, T. Friedrich, T. Watanabe   +20 more
core   +1 more source

Terwilliger $\mathbb{F}$-algebras of certain Cayley tables

, 2023
Let $\mathbb{F}$ be an arbitrary field. In this paper, we continue studying the Terwilliger algebras of association schemes over $\mathbb{F}$ that were called the Terwilliger $\mathbb{F}$-algebras of association schemes in [8]. We determine the algebraic structures of the Terwilliger $\mathbb{F}$-algebras of the association schemes induced from the ...
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Transversals in the Cayley Tables of the Non-cyclic Groups of Order 8

European Journal of Combinatorics, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies. [PDF]

PLoS One, 2023
Malik MA, Imran M, Adeel M.
europepmc   +1 more source

Latin squares in a Cayley table [PDF]

International Mathematical Forum, 2006
Behrooz Khosravi, Behnam Khosravi, Bahman Khosravi   +2 more
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EXPLORATION OF OCTAHEDRAL GROUP: CAYLEY TABLE, GROUP ANALYSIS AND CAYLEY GRAPH

This paper presents a comprehensive algebraic analysis of the symmetry group of the cube, focusing on its rotation and spatial inversion symmetries. The study establishes that the full symmetry group of the cube is isomorphic to the direct product of the symmetric group on four elements and the cyclic group of order two, combining the symmetric group ...
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Exploration of Symmetric Groups: Cayley Tables, Subgroup Analysis, and Real-World Applications in Card Tricks

Scholars Journal of Physics, Mathematics and Statistics
This research delves into the extensive analysis of symmetric groups of various orders and degrees. We explore different representations of permutations, construct a Cayley table for the symmetric group of degree four, and systematically identify all its subgroups using Lagrange's theorem.
Udoaka Otobong G., Udoakpan I. U.
openaire   +1 more source