Results 51 to 60 of about 990,705 (257)
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
AUTOMATIC CONTINUITY OF n -HOMOMORPHISMS BETWEEN TOPOLOGICAL ALGEBRAS
, 2011 A map θ : A → B between algebras A and B is called n -multiplicative if θ ( a 1 a 2 ⋯ a n )= θ ( a 1 ) θ ( a 2 )⋯ θ ( a n ) for all elements a 1 , a 2 ,…, a n ∈ A . If θ is also linear then it is called an n -homomorphism.
T. G. Honary, H. Shayanpour
semanticscholar +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Analyzing Some Structural Properties of Topological B-Algebras
International Journal of Mathematics and Mathematical Sciences, 2019 In this study, we investigate the topology on B-algebras: an algebraic system of propositional logic. We define here the notion of topological B-algebras (briefly, TB-algebras) and some properties are investigated. A characterization of TB-algebras based
Narciso C. Gonzaga
doaj +1 more source
Journal of High Energy Physics, 2019 We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in N $$ \mathcal{N} $$ = 4 Super Yang Mills gauge theory.
Davide Gaiotto, Miroslav Rapčák
doaj +1 more source
On structural controllability in complex networks with periodic switching topologies
Asian Journal of Control, EarlyView.Abstract This paper investigates the structural controllability of complex networks with periodic switching topologies. First, several graph transformations that preserve structural controllability are demonstrated. Based on the n‐walk theory, a criterion is derived that determines structural controllability by analyzing only the joint graph within a ...
Jingrui Hou +3 more
wiley +1 more source
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators
Topological Algebra and its Applications, 2018 We study algebraic properties of Poisson brackets on non-associative non-commutative algebras, compatible with their multiplicative structure. Special attention is paid to the Poisson brackets of the Lie-Poisson type, related with the special Lie ...
Artemovych Orest D. +2 more
doaj +1 more source
Simplified Small‐Signal Modeling Method for Non‐Isolated High Step‐Up Converters
International Journal of Circuit Theory and Applications, EarlyView.A generalized small‐signal modeling methodology for a family of non‐isolated high step‐up DC‐DC converters is proposed. ABSTRACT This work presents a generalized small‐signal modeling methodology for a family of DC–DC converters based on the four‐state switching cell with a wide conversion range (WCR‐4SSC) operating in continuous conduction mode (CCM).
Samuel Antonio Macedo de Oliveira +3 more
wiley +1 more source
Brillouin Klein bottle from artificial gauge fields
Nature Communications, 2022 Topological states are exploited based on crystalline symmetry, but under artificial gauge fields, symmetries may satisfy projective algebras, which remains less studied.
Z. Y. Chen +2 more
doaj +1 more source