Mathematical and Molecular Topology

This Special Issue, "Mathematical and Molecular Topology" welcomed papers from a broad interdisciplinary area, since topology is concerned with the properties of objects that are preserved under continuous deformations, such as stretching, twisting, crumpling and bending. One of the oldest problems...

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प्रकाशित: MDPI - Multidisciplinary Digital Publishing Institute 2023
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ऑनलाइन पहुंच:ONIX_20230808_9783036583525_57
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collection Directory of Open Access Books
description This Special Issue, "Mathematical and Molecular Topology" welcomed papers from a broad interdisciplinary area, since topology is concerned with the properties of objects that are preserved under continuous deformations, such as stretching, twisting, crumpling and bending. One of the oldest problems in topology is The Seven Bridges of Königsberg. Topology naturally finds application in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business and even arts. The motivating insight behind topology is that some geometric problems depend not on the exact shape of the objects involved, but rather on the way they are put together. Circa 1750, Euler stated the polyhedron formula, V − E + F = 2 (where V, E, and F respectively indicate the number of vertices, edges, and faces of the polyhedron), which may be regarded as the first theorem, signaling the birth of topology. Subjects included in topology are graph theory and algebraic topology.
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institution Directory of Open Access Books
language eng
publishDate 2023
publishDateRange 2023
publishDateSort 2023
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-1125512024-03-30T12:51:29Z Mathematical and Molecular Topology JÄNTSCHI, Lorentz Tomescu, Mihaela closure space canonically closed weakly normal almost normal π-normal weakly π-normal κ-normal local convergence nonlinear equations Banach space Fréchet-derivative Gaussian optimization geometry molecular modeling amino acids maximum clique protein graphs machine learning ProBiS entropies via various molecular descriptors H3BO3 layer structure subdivision of H3BO3 line graph of H3BO3 thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science This Special Issue, "Mathematical and Molecular Topology" welcomed papers from a broad interdisciplinary area, since topology is concerned with the properties of objects that are preserved under continuous deformations, such as stretching, twisting, crumpling and bending. One of the oldest problems in topology is The Seven Bridges of Königsberg. Topology naturally finds application in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business and even arts. The motivating insight behind topology is that some geometric problems depend not on the exact shape of the objects involved, but rather on the way they are put together. Circa 1750, Euler stated the polyhedron formula, V − E + F = 2 (where V, E, and F respectively indicate the number of vertices, edges, and faces of the polyhedron), which may be regarded as the first theorem, signaling the birth of topology. Subjects included in topology are graph theory and algebraic topology. 2023-08-08T15:26:59Z 2023-08-08T15:26:59Z 2023 book ONIX_20230808_9783036583525_57 9783036583525 9783036583532 https://directory.doabooks.org/handle/20.500.12854/112551 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/7677 https://mdpi.com/books/pdfview/book/7677 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-8353-2 10.3390/books978-3-0365-8353-2 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036583525 9783036583532 78 Basel open access
spellingShingle closure space
canonically closed
weakly normal
almost normal
π-normal
weakly π-normal
κ-normal
local convergence
nonlinear equations
Banach space
Fréchet-derivative
Gaussian
optimization
geometry
molecular modeling
amino acids
maximum clique
protein graphs
machine learning
ProBiS
entropies via various molecular descriptors
H3BO3 layer structure
subdivision of H3BO3
line graph of H3BO3
thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries
thema EDItEUR::U Computing and Information Technology::UY Computer science
Mathematical and Molecular Topology
title Mathematical and Molecular Topology
title_full Mathematical and Molecular Topology
title_fullStr Mathematical and Molecular Topology
title_full_unstemmed Mathematical and Molecular Topology
title_short Mathematical and Molecular Topology
title_sort mathematical and molecular topology
topic closure space
canonically closed
weakly normal
almost normal
π-normal
weakly π-normal
κ-normal
local convergence
nonlinear equations
Banach space
Fréchet-derivative
Gaussian
optimization
geometry
molecular modeling
amino acids
maximum clique
protein graphs
machine learning
ProBiS
entropies via various molecular descriptors
H3BO3 layer structure
subdivision of H3BO3
line graph of H3BO3
thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries
thema EDItEUR::U Computing and Information Technology::UY Computer science
topic_facet closure space
canonically closed
weakly normal
almost normal
π-normal
weakly π-normal
κ-normal
local convergence
nonlinear equations
Banach space
Fréchet-derivative
Gaussian
optimization
geometry
molecular modeling
amino acids
maximum clique
protein graphs
machine learning
ProBiS
entropies via various molecular descriptors
H3BO3 layer structure
subdivision of H3BO3
line graph of H3BO3
thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries
thema EDItEUR::U Computing and Information Technology::UY Computer science
url ONIX_20230808_9783036583525_57