Results 21 to 30 of about 77,220 (199)

The Ursini commutator as normalized Smith-Pedicchio commutator

, 2012
We introduce an intrinsic description of the Ursini commutator [Urs81, GU84] in any ideal determined category and we compare it with the Higgins and Huq commutators. After describing also the Smith-Pedicchio commutator by means of canonical arrows from a
S. Mantovani
core   +2 more sources

A Commuting q-Analogue of the Addition Formula for Disk Polynomials [PDF]

Constructive Approximation, 1997
By starting from the addition formula for \(q\)-disk polynomials, which is an identity in noncommuting variables, the authors establish a basic analogue in commuting variables of the addition and product formula for disk polynomials. These contain, as limiting cases, the addition and product formula for little \(q\)-Legendre polynomials. As \(q \to 1\),
Koelink, H.T., Floris, P.G.A.
openaire   +3 more sources

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

Advanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source

Commutator width in the first Grigorchuk group [PDF]

, 2022
Let G be the first Grigorchuk group. We show that the commutator width of G is 2: every element g∈[G,G] is a product of two commutators, and also of six conjugates of a.
Lysenok, Igor, Bartholdi, Laurent, Groth, Thorsten   +2 more
core   +1 more source

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, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

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

Canonical commutator and mass renormalization [PDF]

, 1989
The question considered is the effect on the canonical commutation rules of mass renormalization in quantum electrodynamics. This is investigated by considering the quantum Langevin equation for a charged quantum oscillator interacting with the radiation
O'Connell, R. F., O\u27Connell, R. F., Ford, G. W.   +2 more
core   +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

Kinetic Contribution to the Arbitrary Order Odd Frequency Moments of the Dynamic Structure Factor

Contributions to Plasma Physics, EarlyView.
ABSTRACT An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over the exact momentum distribution.
Panagiotis Tolias, Tobias Dornheim, Jan Vorberger   +2 more
wiley   +1 more source

Hilbert's Basis Theorem for Poisson Ore Extensions

Mathematische Nachrichten, EarlyView.
ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck, Patrik Lundström, Johan Öinert, Johan Richter   +3 more
wiley   +1 more source