Results 121 to 130 of about 1,336,081 (334)
Mutation algebras of a nonassociative algebra
Indagationes Mathematicae, 1995 AbstractThe mutation algebra A(p, q) of a nonassociative algebra A is known to be Lie-admissible, as soon as A is flexible and Lie-admissible and p and q are elements in A, satisfying certain conditions. In the present paper it is shown that the A-algebra (a not associative assosymmetric algebra), Lie-admissible by nature but not flexible, has the ...
openaire +2 more sources
Analysis of Real-World Math Problems: Theoretical Model and Classroom Application
Вопросы образования, 2016 The Russian education standards stress the importance of real-life applications of mathematics. However, the performance standards do not provide a clear idea of how a math teacher should organize their syllabus to develop such skills in students.
Galina Larina
doaj +1 more source
Group identities on the units of algebraic algebras with applications to restricted enveloping algebras [PDF]
J. Algebra 319 (2008), no. 10, 4008--4017., 2007 An algebra is called a GI-algebra if its group of units satisfies a group identity. We provide positive support for the following two open problems. 1. Does every algebraic GI-algebra satisfy a polynomial identity? 2. Is every algebraically generated GI-algebra locally finite?
arxiv
Process Resilience under Optimal Data Injection Attacks
AIChE Journal, EarlyView.Abstract In this article, we study the resilience of process systems in an information‐theoretic framework, from the perspective of an attacker capable of optimally constructing data injection attacks. The attack aims to distract the stationary distributions of process variables and stay stealthy, simultaneously.
Xiuzhen Ye, Wentao Tang
wiley +1 more source
Infinity Algebras and the Homology of Graph Complexes
, 1996 An A-infinity algebra is a generalization of a associative algebra, and an L-infinity algebra is a generalization of a Lie algebra. In this paper, we show that an L-infinity algebra with an invariant inner product determines a cycle in the homology of ...
Penkava, Michael
core +1 more source
Skew group algebras of path algebras and preprojective algebras
Journal of Algebra, 2010 accepted by Journal of Algebra massive shortening and improvement of readability after ...
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Certain associative algebras similar to $U(sl_{2})$ and Zhu's algebra $A(V_{L})$ [PDF]
arXiv, 1996 It is proved that Zhu's algebra for vertex operator algebra associated to a positive-definite even lattice of rank one is a finite-dimensional semiprimitive quotient algebra of certain associative algebra introduced by Smith. Zhu's algebra for vertex operator algebra associated to any positive-definite even lattice is also calculated and is related to ...
arxiv
On the fundamental number of the algebraic number-field 𝑘(\root𝑝\of𝑚) [PDF]
, 1910 Jacob Westlund
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A Shared Control Method of Multiobjective Motion Fusion for Surgical Robot
Advanced Intelligent Systems, EarlyView.This paper proposes an innovative shared control method that can handle multiple objectives task by integrating various types of controllers. It not only takes into account the priorities among the objectives but also allows for the flexible addition or removal of objective controllers.
Xilin Xiao +7 more
wiley +1 more source
Reprogrammable, In‐Materia Matrix‐Vector Multiplication with Floppy Modes
Advanced Intelligent Systems, EarlyView.This article describes a metamaterial that mechanically computes matrix‐vector multiplications, one of the fundamental operations in artificial intelligence models. The matrix multiplication is encoded in floppy modes, near‐zero force deformations of soft matter systems.
Theophile Louvet +2 more
wiley +1 more source