Results 1 to 10 of about 6,052 (120)
On the pulsating (m,c)-Fibonacci sequence
Heliyon, 2021 In this paper, we study new ideas in the generalization of additive and multiplicative pulsating Fibonacci sequences. Then, we construct two types of pulsating Fibonacci sequences of the mth order.
Kittipong Laipaporn +2 more
doaj +1 more source
On the group of automorphisms of the algebra of plural numbers
Дифференциальная геометрия многообразий фигур, 2023 The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov +2 more
doaj +1 more source
Definability of linear equation systems over groups and rings [PDF]
Logical Methods in Computer Science, 2013 Motivated by the quest for a logic for PTIME and recent insights that the descriptive complexity of problems from linear algebra is a crucial aspect of this problem, we study the solvability of linear equation systems over finite groups and rings from ...
Anuj Dawar +4 more
doaj +1 more source
Linear maps preserving G-unitary operators in Hilbert space
Arab Journal of Mathematical Sciences, 2015 Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H. We give the concrete forms of surjective continuous unital linear maps from B(H) onto itself that preserve G-unitary operators.
Abdellatif Chahbi, Samir Kabbaj
doaj +1 more source
Hilbert polynomials of the algebras of $SL_ 2$-invariants
Karpatsʹkì Matematičnì Publìkacìï, 2018 We consider one of the fundamental problems of classical invariant theory, the research of Hilbert polynomials for an algebra of invariants of Lie group $SL_2$.
N.B. Ilash
doaj +1 more source
Hierarchical Zonotopal Power Ideals [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Zonotopal algebra deals with ideals and vector spaces of polynomials that are related to several combinatorial and geometric structures defined by a finite sequence of vectors.
Matthias Lenz
doaj +1 more source
Strong Tolerance and Strong Universality of Interval Eigenvectors in a Max-Łukasiewicz Algebra
Mathematics, 2020 The Łukasiewicz conjunction (sometimes also considered to be a logic of absolute comparison), which is used in multivalued logic and in fuzzy set theory, is one of the most important t-norms.
Martin Gavalec +2 more
doaj +1 more source
Pseudogauge freedom and the SO(3) algebra of spin operators
Physics Letters B, 2023 The energy-momentum and spin tensors for a given theory can be replaced by alternative expressions that obey the same conservation laws for the energy, linear momentum, as well as angular momentum but, however, differ by the local redistribution of such ...
Sourav Dey +3 more
doaj +1 more source
Real Root Polynomials and Real Root Preserving Transformations
International Journal of Mathematics and Mathematical Sciences, 2021 Polynomials can be used to represent real-world situations, and their roots have real-world meanings when they are real numbers. The fundamental theorem of algebra tells us that every nonconstant polynomial p with complex coefficients has a complex root.
Suchada Pongprasert +3 more
doaj +1 more source
Functions’ algebra in nonlinear control: computational aspects and software; pp. 89–107 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 The paper describes the Mathematica-based software for studying nonlinear control systems. The software relies on an algebraic method, called functionsâ algebra.
Juri Belikov +6 more
doaj +1 more source