Results 221 to 230 of about 52,327 (248)

Unraveling Terminal Cobalt–Antimony Double Bond: Breaking New Ground in Heavy Pnictogen Multiple Bonds

Angewandte Chemie, EarlyView.
N‐heterocyclic carbenes (NHCs) function as “molecular scissors,” cleaving otherwise inert Sb═Sb bonds in distibenes to generate monomeric, zwitterionic stibinide species. These intermediates act as efficient stibinidene transfer reagents, granting access to a rare terminal cobalt–stibinidene complex.
Daniel Meleschko, Prasenjit Palui, Rosa M. Gomilia, Morgan J. McKee, Gregor Schnakenburg, Nikolay Kornienko, Antonio Frontera, Alessandro Bismuto   +7 more
wiley   +2 more sources

Rapidly Diversifying Hydrogen‐Bonded Organic Frameworks With Permanent Porosity

Angewandte Chemie, EarlyView.
This article reviews diversifying hydrogen‐bonded organic frameworks (HOFs) with permanent porosity reported over the past 15 years, based on the molecular structures of their constituent tectons. Furthermore, several distinctive aspects and concepts are described, such as permanent porosity, isostructural (isoreticular) HOFs, and multicomponent mixed ...
Taito Hashimoto, Ichiro Hisaki
wiley   +2 more sources

Osteological correlates of the respiratory and vascular systems in the neural canals of Mesozoic ornithurines Ichthyornis and Janavis

The Anatomical Record, EarlyView.
Abstract In birds, the neural canal houses a variety of anatomical structures including the spinal cord, meninges, spinal vasculature, and respiratory diverticula. Among these, paramedullary diverticula and the extradural dorsal spinal vein may leave behind osteological correlates in the form of pneumatic foramina and fossae, and a bilobed geometry of ...
Jessie Atterholt, M. Grace Burton, Mathew J. Wedel, Juan Benito, Ellen Fricano, Daniel J. Field   +5 more
wiley   +1 more source

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Persistent homology in ℓ∞ metric

Computational Geometry, 2022
Abstract Proximity complexes and filtrations are central constructions in topological data analysis. Built using distance functions, or more generally metrics, they are often used to infer connectivity information from point clouds. Here we investigate proximity complexes and filtrations built over the Chebyshev metric, also known as the maximum ...
Gabriele Beltramo, Primoz Skraba
openaire   +3 more sources

Persistent Intersection Homology

Foundations of Computational Mathematics, 2010
Persistent homology uses a filtration on a topological space to define birth and death of a homology class. The \(r\)-dimensional classes that are born at stage \(i\) and die at stage \(j\) form the pair group \(P^{i,j}_r\), a vector space over the field with 2 elements, of the filtered space.
Paul Bendich, John Harer
openaire   +1 more source

The Persistence Space in Multidimensional Persistent Homology

2013
Multidimensional persistent modules do not admit a concise representation analogous to that provided by persistence diagrams for real-valued functions. However, there is no obstruction for multidimensional persistent Betti numbers to admit one. Therefore, it is reasonable to look for a generalization of persistence diagrams concerning those properties ...
Andrea Cerri, Claudia Landi 0001
openaire   +2 more sources

Persistent homology

2016
Leigh Metcalf, William Casey
exaly   +2 more sources

Persistence Cycles for Visual Exploration of Persistent Homology

IEEE Transactions on Visualization and Computer Graphics, 2022
Persistent homology is a fundamental tool in topological data analysis used for the most diverse applications. Information captured by persistent homology is commonly visualized using scatter plots representations. Despite being widely adopted, such a visualization technique limits user understanding and is prone to misinterpretation.
openaire   +2 more sources

Persistent Homology of Geospatial Data: A Case Study with Voting

SIAM Review, 2021
Michelle Feng, Mason Porter
exaly