Results 1 to 10 of about 1,275 (178)

Introduction to the Yang-Baxter Equation with Open Problems [PDF]

Axioms, 2012
The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C. N. Yang, and in statistical mechanics, in R. J. Baxter’s work.
Florin Nichita
doaj   +4 more sources

Yang–Baxter Equations, Computational Methods and Applications [PDF]

Axioms, 2015
Computational methods are an important tool for solving the Yang–Baxter equations (in small dimensions), for classifying (unifying) structures and for solving related problems.
Florin F. Nichita
doaj   +3 more sources

Midazolam Dosing During CRRT: A Combined Ex Vivo and Physiologically-Based Pharmacokinetic Approach. [PDF]

CPT Pharmacometrics Syst Pharmacol
ABSTRACT Children supported with continuous renal replacement therapy have high mortality rates ranging from 30% to 70%. The cause of this high mortality is multifactorial and includes ineffective drug dosing and altered drug pharmacokinetics. Changes in drug exposure can result from (1) underlying disease; and (2) direct drug interaction and/or ...
McKnite AM, Hamadeh A, Hunt JP, Green DJ, Imburgia C, Whelan A, Hudson R, Chevalier A, Mathis CL, Yang MJ, Dwyer JP, Edginton A, Watt KM.   +12 more
europepmc   +2 more sources

An Independent Set of Axioms of MV-Algebras and Solutions of the Set-Theoretical Yang–Baxter Equation

Axioms, 2017
The aim of this paper is to give a new equivalent set of axioms for MV-algebras, and to show that the axioms are independent. In addition to this, we handle Yang–Baxter equation problem.
Tahsin Oner, Ibrahim Senturk, Gulsah Oner   +2 more
doaj   +3 more sources

On Solutions to the Set-Theoretical Yang-Baxter Equation in Wajsberg-Algebras

Axioms, 2018
In this work, we introduce Wajsberg algebras which are equivalent structures to MV-algebras in their implicational version, and then we define new notions and give new solutions to the set-theoretical Yang-Baxter equation by using Wajsberg algebras.
Tahsin Oner, Tugce Katican
doaj   +3 more sources

Hom-O-Operators and Hom-Yang-Baxter Equations

Advances in Mathematical Physics, 2015
In Hom-Lie set, we introduce the concept of Hom-O-operators and study its relation with classical Hom-Yang-Baxter equation, as well as left-symmetric Hom-algebras.
Yuanyuan Chen, Liangyun Zhang
doaj   +3 more sources

Accelerating the convergence of Newton's method for the Yang-Baxter like matrix equation [PDF]

Heliyon
This article explores the application of exact line search and successive over-relaxation techniques to enhance the convergence of Newton method in solving the Yang-Baxter matrix equation for nontrivial numerical solutions. Moreover, the normwise, mixed,
Chacha Stephen Chacha
doaj   +2 more sources

On the Colored and the Set-Theoretical Yang–Baxter Equations

Axioms, 2021
This paper is related to several articles published in AXIOMS, SCI, etc. The main concepts of the current paper are the colored Yang–Baxter equation and the set-theoretical Yang–Baxter equation.
Laszlo Barna Iantovics, Florin Felix Nichita   +1 more
doaj   +1 more source

Solutions of Yang–Baxter Equation of Mock-Lie Algebras and Related Rota Baxter Algebras

Computer Sciences & Mathematics Forum, 2023
This paper discusses the relationship between Mock-Lie algebras, Lie algebras, and Jordan algebras. It highlights the importance of the Yang–Baxter equation and symplectic forms in the study of integrable systems, quantum groups, and topological quantum ...
Amir Baklouti
doaj   +1 more source

Unification Theories: Rings, Boolean Algebras and Yang–Baxter Systems

Axioms, 2023
This paper continues a series of papers on unification constructions. After a short discussion on the Euler’s relation, we introduce a matrix version of the Euler’s relation, E I π+U=O.
Florin F. Nichita
doaj   +1 more source