Results 101 to 110 of about 20,941 (309)
A Morse-type index for critical points of vector functions [PDF]
In this work we study the critical points of vector functions form Rn to Rm with n m, following the definition introduced by S. Smale in the context of vector optimization.
Rocca Matteo +2 more
core
Higher Morse moduli spaces and n-categories
, 2023 We generalize Cohen & Jones & Segal's flow category, whose objects are the critical points of a Morse function and whose morphisms are the Morse moduli spaces between the critical points to an n-category.
Hohloch, Sonja
core +1 more source
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.The high‐valence Ta5+‐substituted LZC (LZT0.3C) demonstrates high ionic conductivity, excellent compressibility, and impressive moisture stability, contributing to the long‐term cycling durability of ASSLBs. Recently developed halide solid‐state electrolytes (SSEs) have become promising alternatives for the next generation inorganic SSEs, primarily due
Jin Hu +9 more
wiley +1 more source
El operador generalizado de Hamilton-Morse, sus funciones propias y la función de Green
Momento, 1992 For the generalizad. Morse potencial it is possible to calculate the exact wave functions for the bound and continuum states as well as the Green function associated with the Hamiltonian.
Hernán Estrada
doaj
Automatic Detection of Cross-Shaped Targets for Laser Scan Registration
IEEE Access, 2018 Laser scan registration estimates a relative transformation to match one scan with another, based on the shape of the overlapping portions of the scans. The core and challenging problem of scan registration in a large-scale scene is, how to detect public
Cheng Yi +6 more
doaj +1 more source
The Morse Complex for a Morse Function on a Manifold with Corners
, 2004 A Morse function f on a manifold with corners M allows the characterization of the Morse data for a critical point by the Morse index. In fact, a modified gradient flow allows a proof of the Morse theorems in a manner similar to that of classical Morse theory. It follows that M is homotopy equivalent to a CW-complex with one cell of dimension λfor each
openaire +2 more sources
Morse–Bott functions and the Witten Laplacian [PDF]
Communications in Analysis and Geometry, 1999 Let \((N,g)\) be a compact Riemannian manifold. Let \(h\) be a Morse-Bott function, and let \(V\) be a flat vector bundle. Witten defined the \(1\)-parameter deformation of the exterior derivative setting \(d_\alpha:=e^{-\alpha h}de^{\alpha h}\). The deformed Laplacian \[ L_\alpha:=d_\alpha d_\alpha^*+d_\alpha^*d_\alpha \] acts on the space of smooth \(
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Reconstruction of sampled surfaces with boundary via Morse theory
, 2023 We study the perception problem for garments (e.g. a pair of pants) using tools from computational topology: the identification of their geometry and position from point-cloud samples, as obtained e.g. with 3D scanners.
Amorós, Jaume +3 more
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FlexMat, EarlyView.In this study, a multicomponent synergistic strategy is utilized, which capitalizes on the “intersection” of multiple functional influencing factors to achieve the successful development of a multifunctional hydrogel. Through the construction of a unique three‐dimensional dynamic cross‐linked network, the material combines mechanical strength ...
Wei Li +10 more
wiley +1 more source
FlexMat, EarlyView.Developing stable, multifunctional hydrogel electrolytes without compromising performance presents a considerable challenge in the field. In this study, we introduce a material design strategy with broad applicability to combinations of functional polymeric segments, ionic monomers, and salts.
Manyu Liu +7 more
wiley +1 more source