Results 31 to 40 of about 566,880 (282)
Free integro-differential algebras and Groebner-Shirshov bases [PDF]
The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Gao, Xing, Guo, Li, Rosenkranz, Markus
core +3 more sources
Relation of deformed nonlinear algebras with linear ones
The relation between nonlinear algebras and linear ones is established. For one-dimensional nonlinear deformed Heisenberg algebra with two operators we find the function of deformation for which this nonlinear algebra can be transformed to a linear one ...
Nowicki, A., Tkachuk, V. M.
core +1 more source
CRAMER’S RULE IN MIN-PLUS ALGEBRA
Cramer’s rule is one of a method for solving a system of linear equations in conventional algebra. The system of linear equation can be solved using Cramer’s rule if .
Zakia Nur Ramadhani Putri +2 more
doaj +1 more source
An octonionic formulation of the M-theory algebra
We give an octonionic formulation of the N = 1 supersymmetry algebra in D = 11, including all brane charges. We write this in terms of a novel outer product, which takes a pair of elements of the division algebra A and returns a real linear operator on A.
Anastasiou, A. +4 more
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Aspectos históricos dos conceitos de Dependência e Independência Linear
Este trabalho teve por objetivo investigar a refletividade do caráter unificador e generalizante da Álgebra Linear no desenvolvimento histórico dos conceitos de Dependência e Independência Linear. Para tal, foi realizado um estudo acerca da constituição
Renan Marcelo da Costa Dias +1 more
doaj +3 more sources
Quantum and Braided Linear Algebra
Quantum matrices $A(R)$ are known for every $R$ matrix obeying the Quantum Yang-Baxter Equations. It is also known that these act on `vectors' given by the corresponding Zamalodchikov algebra.
Faddeev L. D., Gurevich D. I., S. Majid
core +2 more sources
On linear algebraic semigroups [PDF]
Let K be an algebraically closed field. By an algebraic semigroup we mean a Zariski closed subset of K n {K^n} along with a polynomially defined associative operation. Let S be an algebraic semigroup. We show that S has ideals I 0 ,
openaire +8 more sources
This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley +1 more source
Linear Algebra in Geometric Transformations
This study aims to deeply examine the role of Linear Algebra in geometric transformation through a combined qualitative-quantitative approach. By combining systematic literature studies, content analysis, GeoGebra-based virtual laboratory experiments ...
Raihan Faisal Dzikra, Diny Syarifah
doaj +1 more source
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
wiley +1 more source

