Results 71 to 80 of about 77,893 (200)

$\mathcal{O}$-Regular Mappings on $\mathbb{C}\left(\mathbb{C}\right)$: A Structured Operator–Theoretic Framework

Mathematics
Motivation. Analytic function theory on commutative complex extensions calls for an operator–theoretic calculus that simultaneously sees the algebra-induced coupling among components and supports boundary-to-interior mechanisms. Gap.
Ji Eun Kim
doaj   +1 more source

Further Algebraic Algorithms in the Congested Clique Model and Applications to Graph-Theoretic Problems [PDF]

, 2016
François Le Gall
openalex   +2 more sources

Fusion category symmetry. Part I. Anomaly in-flow and gapped phases

Journal of High Energy Physics
We study generalized discrete symmetries of quantum field theories in 1+1D generated by topological defect lines with no inverse. In particular, we describe ’t Hooft anomalies and classify gapped phases stabilized by these symmetries, including new 1+1D ...
Ryan Thorngren, Yifan Wang
doaj   +1 more source

Generic derivations on algebraically bounded structures II Model theoretical properties

Let T be an algebraically bounded theory. We consider the $L(\barδ)$-expansions of T by a tuple $\bar δ$ of derivations (which may be commuting or not). We investigate the model completion of either of the above theories, whose existence has been established in [FT:24], with particular attention to its model-theoretic properties, including $ω ...
Antongiulio, Fornasiero, Giuseppina, Terzo   +1 more
openaire   +2 more sources

Towards a Convenient Category of Topological Domains [PDF]

, 2003
We propose a category of topological spaces that promises to be convenient for the purposes of domain theory as a mathematical theory for modelling computation. Our notion of convenience presupposes the usual properties of domain theory, e.g.
Simpson, Alex
core   +1 more source

Approximation of Algebraic Curves in Function Spaces of Topological Sequences Connected to Specific Simple Graph Families

Journal of Function Spaces
Algebraic curves and topological sequences play a crucial role in mathematics and graph theory, serving as a bridge between geometry, algebra, and number theory.
Mohammad Mazyad Hazzazi, Muhammad Imran, Muhammad Nadeem, Muhammad Kamran, Samuel Asefa Fufa   +4 more
doaj   +1 more source

W-algebras and superalgebras from constrained WZW models: A group theoretical classification [PDF]

, 1993
L. Frappat, E. Ragoucy, P. Sorba
openalex   +1 more source

Modeling Unawareness in Arbitrary State Spaces [PDF]

I develop a set-theoretic model of unawareness without making any structural assumptions on the underlying state space. Unawareness is characterized as a measurability constraint that results in players' reasoning about a “coarse" subjective algebra of ...
Jing Li
core  

Set-Word Embeddings and Semantic Indices: A New Contextual Model for Empirical Language Analysis

Computers
We present a new word embedding technique in a (non-linear) metric space based on the shared membership of terms in a corpus of textual documents, where the metric is naturally defined by the Boolean algebra of all subsets of the corpus and a measure μ ...
Pedro Fernández de Córdoba, Carlos A. Reyes Pérez, Claudia Sánchez Arnau, Enrique A. Sánchez Pérez   +3 more
doaj   +1 more source

On Corresponding Cauchy–Riemann Equations Applied to Laplace-Type Operators over Generalized Quaternions, with an Application

Axioms
In this paper, we develop a concise differential–potential framework for the functions of a generalized quaternionic variable in the two-parameter algebra Hα,β, with α,β∈R∖{0}.
Ji Eun Kim
doaj   +1 more source