Results 11 to 20 of about 20,949 (310)
The computation of the index of a Morse function at a critical point [PDF]
International Journal of Mathematics and Mathematical Sciences, 1988 A theoretical approach in computing the index of a Morse function at a critical point on a real non-singular hypersurface V is given. As a consequence the Euler characteristic of V is computed. In the case where the hypersurface is polynomial and compact,
Takis Sakkalis
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Morse Shellings Out of Discrete Morse Functions [PDF]
Discrete & Computational Geometry, 2022 22 pages, 3 ...
Welschinger, Jean-Yves
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Moments of a Thue–Morse generating function [PDF]
Journal d'Analyse Mathématique, 2018 We study the moments of even order of the generating function of the Thue-Morse sequence and present several conjectures related to these moments.
Montgomery, Hugh +2 more
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Approximation of electronic term of diatomic molecule by the Morse function. The role of anharmonicity [PDF]
, 2023 This article presents an extension of the report made at the 2nd International Symposium "Non-Covalent Interactions" 10/14/22 in Moscow. That report outlined the basic principles of modeling the potential function of diatomic molecules using the Morse ...
Gleb S., Denisov, Ruslan E., Asfin
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Derivation of Morse Potential Function [PDF]
, 2023 The Morse potential is widely used in chemistry to describe interatomic interactions. However, there is no explicit derivation for this empirical potential from physically meaningful atomic quan- tities.
Sergey, Varganov, Amir, Mirzanejad
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Introdução à teoria de Morse e homologia de Morse [PDF]
, 2021 In this work we present a study of Morse theory with the aim of introducing the Morse homology theorem as its natural extension. For this we prove the classic Morse theorem, which states that a Morse function defined on a manifold determines its topology
Leal, Julian David Espinel
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Prescribing Morse scalar curvatures: pinching and Morse theory [PDF]
, 2023 We consider the problem of prescribing conformally the scalar curvature on compact manifolds of positive Yamabe class in dimension n ≥ 5. We prove new existence results using Morse theory and some analysis on blowing-up solutions, under suitable pinching
Mayer, Martin +3 more
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Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems [PDF]
, 2011 Morse Index Theorems for elliptic boundary value problems in multi-dimensions are proved under various boundary conditions. The theorems work for star-shaped domains and are based on a new idea of measuring the "oscillation" of the trace of the set of ...
Deng, Jian +1 more
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Homotopy properties of smooth functions on the Möbius band
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 Let $B$ be a M\"obius band and $f:B \to \mathbb{R}$ be a Morse map taking a constant value on $\partial B$, and $\mathcal{S}(f,\partial B)$ be the group of diffeomorphisms $h$ of $B$ fixed on $\partial B$ and preserving $f$ in the sense that $f\circ h ...
Iryna Kuznietsova, Sergiy Maksymenko
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The nudged elastic band method for effective natural image patches analysis
AIP Advances, 2020 We used sampled data from a well-established database of natural images to construct a density estimator, which is designed to act as a Morse function.
Kewen Cha, Shuang Wang, Shengxiang Xia
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