Results 41 to 50 of about 2,329 (81)

Dynamical Correspondence in a Generalized Quantum Theory

, 2015
In order to figure out why quantum physics needs the complex Hilbert space, many attempts have been made to distinguish the C*-algebras and von Neumann algebras in more general classes of abstractly defined Jordan algebras (JB- and JBW-algebras).
Niestegge, Gerd
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Semi‐implicit material point method for simulating infiltration‐induced failure of unsaturated soil structures

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 48, Issue 10, Page 2661-2699, July 2024.
Abstract This study presents a semi‐implicit MPM to adequately characterize the mechanical behavior of unsaturated soil based on Biot's mixture theory. To represent the dependency of the degree of saturation on the suction, we employ the VG model along with a soil‐water characteristic curve, which determines a functional form of permeability called the
Soma Hidano, Yuya Yamaguchi, Shinsuke Takase, Shuji Moriguchi, Kenji Kaneko, Kenjiro Terada   +5 more
wiley   +1 more source

Near braces and p$p$‐deformed braided groups

Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 124-139, January 2024.
Abstract Motivated by recent findings on the derivation of parametric noninvolutive solutions of the Yang–Baxter equation, we reconstruct the underlying algebraic structures, called near braces. Using the notion of the near braces we produce new multi‐parametric, nondegenerate, noninvolutive solutions of the set‐theoretic Yang–Baxter equation.
Anastasia Doikou, Bernard Rybołowicz
wiley   +1 more source

Braided Cyclic Cocycles and Non-Associative Geometry

, 2004
We use monoidal category methods to study the noncommutative geometry of nonassociative algebras obtained by a Drinfeld-type cochain twist. These are the so-called quasialgebras and include the octonions as braided-commutative but nonassociative ...
Albuquerque H., Alekseev A., Drinfeld V. G., Majid S., Majid S., S. E. Akrami, S. Majid   +6 more
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An Algebraic Approach of Topological Indices Connected with Finite Quasigroups

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
In mathematical chemistry, the algebraic polynomial serves as essential for calculating the most accurate expressions of distance‐based, degree‐distance‐based, and degree‐based topological indices. The chemical reactivity of molecules, which includes their tendency to engage in particular chemical processes or go through particular reactions, can be ...
Muhammad Nadeem, Md. Ashraful Alam, Nwazish Ali, M. I. Elashiry, Ozgur Ege   +4 more
wiley   +1 more source

Graphs Connected to Isotopes of Inverse Property Quasigroups: A Few Applications

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
Many real‐world applications can be modelled as graphs or networks, including social networks and biological networks. The theory of algebraic combinatorics provides tools to analyze the functioning of these networks, and it also contributes to the understanding of complex systems and their dynamics.
Muhammad Nadeem, Sharafat Ali, Md. Ashraful Alam, Qing-Wen Wang   +3 more
wiley   +1 more source

Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups

Journal of Mathematics, Volume 2024, Issue 1, 2024.
A relatively new and rapidly expanding area of mathematics research is the study of graphs’ spectral properties. Spectral graph theory plays a very important role in understanding certifiable applications such as cryptography, combinatorial design, and coding theory.
Muhammad Nadeem, Nwazish Ali, Hafiz Muhammad Bilal, Md. Ashraful Alam, M. I. Elashiry, Kholood Alnefaie, Faranak Farshadifar   +6 more
wiley   +1 more source

Space-time block codes from nonassociative division algebras

, 2011
Associative division algebras are a rich source of fully diverse space-time block codes (STBCs). In this paper the systematic construction of fully diverse STBCs from nonassociative algebras is discussed. As examples, families of fully diverse $2\times 2$
Pumpluen, Susanne, Unger, Thomas
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Holomorphism and Edge Labeling: An Inner Study of Latin Squares Associated with Antiautomorphic Inverse Property Moufang Quasigroups with Applications

Complexity, Volume 2024, Issue 1, 2024.
Taking into account the most recent improvements in graph theory and algebra, we can associate graphs of some mathematical structures with certifiable, widely known applications. This paper seeks to explore the connections established through edge labeling among Latin squares derived from Moufang quasigroups, which are constructed using additive ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Ismail Naci Cangul, J. Akhter, Georgi Georgiev   +5 more
wiley   +1 more source

Groupoid Quantization of Loop Spaces [PDF]

, 2011
We review the various contexts in which quantized 2-plectic manifolds are expected to appear within closed string theory and M-theory. We then discuss how the quantization of a 2-plectic manifold can be reduced to ordinary quantization of its loop space,
Saemann, Christian, Szabo, Richard J.
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