Results 41 to 50 of about 71,081 (192)
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
Revealing Protein–Protein Interactions Using a Graph Theory‐Augmented Deep Learning Approach
Advanced Intelligent Discovery, EarlyView.This study presents a fast, cost‐efficient approach for classifying protein–protein interactions by integrating graph‐theory parametrization with deep learning (DL). Multiscale features extracted from graph‐encoded polarized‐light microscopy (PLM) images enable accurate prediction of binding strengths.
Bahar Dadfar +5 more
wiley +1 more source
Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
International Journal of Mathematics and Mathematical Sciences, 2011 The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids.
Massoud Amini, Alireza Medghalchi
doaj +1 more source
On closed embeddings of free topological algebras [PDF]
, 2012 Let $\mathcal K$ be a complete quasivariety of completely regular universal topological algebras of continuous signature $\mathcal E$ (which means that $\mathcal K$ is closed under taking subalgebras, Cartesian products, and includes all completely ...
Banakh, T., Hryniv, O.
core
, 2002 In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz' spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic
Delcroix, Antoine +3 more
core +1 more source
Laser &Photonics Reviews, EarlyView.Introducing dynamical dephasing into the photon modes of a waveguide causes spontaneous emission to switch from conventional exponential decay to a robust power‐law behavior visible at short times. The power law arises from photon diffusion in a dynamically disordered environment, uncovering a previously unexplored, decoherence‐induced pathway to ...
Stefano Longhi
wiley +1 more source
A topological isomorphism invariant for certain AF algebras
International Journal of Mathematics and Mathematical Sciences, 2005 For certain AF algebras, a topological space is described which provides an isomorphism invariant for the algebras in this class. These AF algebras can be described in graphical terms by virtue of the existence of a certain type of Bratteli diagram, and ...
Ryan J. Zerr
doaj +1 more source
On the topological product of galbed algebras [PDF]
Proceedings of the Estonian Academy of SciencesWe generalize some results about the topological product and the topological projective limit of galbed algebras. We also prove that the topological product is an (αn)-galbed algebra if and only if its each factor is an (αn)-galbed algebra.
Mart Abel
doaj +1 more source
Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Mathematische Nachrichten, EarlyView.Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley +1 more source
The semi-infinite cohomology of affine Lie algebras
, 1997 We study in detail the semi-infinite or BRST cohomology of general affine Lie algebras. This cohomology is relevant in the BRST approach to gauged WZNW models.
Hwang, Stephen
core +2 more sources