Results 71 to 80 of about 154,127 (212)
, 2023 AbstractIn this chapter we briefly introduce important concepts from homology theory and we highlight how some results from Chap. 3 can be understood through the lens of algebraic topology. This chapter accumulates in showing that the Euler characteristic can be understood by means of CW complexes, homology or intersection theory.
David Xianfeng Gu, Emil Saucan
openaire +2 more sources
Quantum State‐Resolved Photodissociation Dynamics Study of Transition‐Metal Carbonyl and Nitrosyl
The Chemical Record, EarlyView.State‐resolved scattering measurements provide experimental visualization of nuclear motions in reacting molecules. Carbonyls and nitrosyls are typical ligands in most of the transition‐metal complexes, which undergo dissociation upon visible and ultraviolet photoexcitation.
Keigo Nagamori +2 more
wiley +1 more source
A Lebesgue decomposition for elements in a topological group
International Journal of Mathematics and Mathematical Sciences, 1980 Our aim is to establish the Lebesgue decomposition for strongly-bounded elements in a topological group. In 1963 Richard Darst established a result giving the Lebesgue decomposition of strongly-bounded elements in a normed Abelian group with respect to ...
Thomas P. Dence
doaj +1 more source
Noncommmutative theorems: Gelfand Duality, Spectral, Invariant Subspace, and Pontryagin Duality [PDF]
, 2005 We extend the Gelfand-Naimark duality of commutative C*-algebras, "A COMMUTATIVE C*-ALGEBRA -- A LOCALLY COMPACT HAUSDORFF SPACE" to "A C*-ALGEBRA--A QUOTIENT OF A LOCALLY COMPACT HAUSDORFF SPACE".
Patel, Mukul S.
core
A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
International Statistical Review, EarlyView.Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri +3 more
wiley +1 more source
, 2013 The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences. It finishes with a brief review of computational work in algebraic topology, including persistent homology.
openaire +3 more sources
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Topological Graph Neural Networks: A Novel Approach for Geometric Deep Learning
Applied AI Letters, Volume 7, Issue 2, June 2026.This graphical abstract illustrates the Topological Graph Neural Network (TopGNN) architecture. It demonstrates a parallel processing approach where an input graph is simultaneously analyzed by a standard GNN Encoder to capture local node features and by Persistent Homology to extract global topological features (like cycles and voids), visualized as a
Amarjeet +7 more
wiley +1 more source
Networks, Volume 87, Issue 4, Page 343-371, June 2026.ABSTRACT The analysis of certain properties of the underlying graph of a public transport network generates insights about the network's structure. Hereby, the choice of the graph representation depends on a trade‐off between complexity reduction and information preservation to adequately model a public transport network.
Michael Palk +2 more
wiley +1 more source
Text Mining in Bibliometrics and Science Mapping: A Methodological Review
WIREs Computational Statistics, Volume 18, Issue 2, June 2026.Text mining has become a foundational component of contemporary bibliometrics and science mapping, enabling systematic analysis of the semantic structure, thematic evolution, and cognitive organization of scientific fields. Integrating textual evidence with relational indicators enriches knowledge maps and supports more comprehensive, content‐sensitive
Michelangelo Misuraca
wiley +1 more source