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Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences

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Book Series: Frontiers Research Topics ISSN: 16648714 ISBN: 9782889452972 Year: Pages: 296 DOI: 10.3389/978-2-88945-297-2 Language: English
Publisher: Frontiers Media SA
Subject: Science (General) --- Botany
Added to DOAB on : 2018-02-27 16:16:44
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An increasing population faces the growing demand for agricultural products and accurate global climate models that account for individual plant morphologies to predict favorable human habitat. Both demands are rooted in an improved understanding of the mechanistic origins of plant development. Such understanding requires geometric and topological descriptors to characterize the phenotype of plants and its link to genotypes. However, the current plant phenotyping framework relies on simple length and diameter measurements, which fail to capture the exquisite architecture of plants. The Research Topic “Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences” is the result of a workshop held at National Institute for Mathematical and Biological Synthesis (NIMBioS) in Knoxville, Tennessee. From 2.-4. September 2015 over 40 scientists from mathematics, computer science, engineering, physics and biology came together to set new frontiers in combining plant phenotyping with recent results from shape theory at the interface of geometry and topology. In doing so, the Research Topic synthesizes the views from multiple disciplines to reveal the potential of new mathematical concepts to analyze and quantify the relationship between morphological plant features. As such, the Research Topic bundles examples of new mathematical techniques including persistent homology, graph-theory, and shape statistics to tackle questions in crop breeding, developmental biology, and vegetation modeling. The challenge to model plant morphology under field conditions is a central theme of the included papers to address the problems of climate change and food security, that require the integration of plant biology and mathematics from geometry and topology research applied to imaging and simulation techniques. The introductory white paper written by the workshop participants identifies future directions in research, education and policy making to integrate biological and mathematical approaches and to strengthen research at the interface of both disciplines.

Manifolds - Current Research Areas

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ISBN: 9789535128717 9789535128724 9789535141228 Year: Pages: 160 DOI: 10.5772/63138 Language: English
Publisher: IntechOpen
Subject: Mathematics
Added to DOAB on : 2019-10-03 07:51:49

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Differential geometry is a very active field of research and has many applications to areas such as physics and gravity, for example. The papers in this book cover a number of subjects which will be of interest to workers in these areas. It is hoped that the papers here will be able to provide a useful resource for researchers with regard to current fields of research in this important area.

Manifolds II - Theory and Applications

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ISBN: 9781838803094 9781838803100 9781838807160 Year: Pages: 146 DOI: 10.5772/intechopen.75217 Language: English
Publisher: IntechOpen
Subject: Mathematics
Added to DOAB on : 2019-10-03 07:51:53

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Differential geometry is a very active field of research and has many applications to areas such as physics, in particular gravity. The chapters in this book cover a number of subjects that will be of interest to workers in these areas. It is hoped that these chapters will be able to provide a useful resource for researchers with regard to current fields of research in this important area.

Geometry and topology of wild translation surfaces

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ISBN: 9783731504566 Year: Pages: 151 p. DOI: 10.5445/KSP/1000050964 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Mathematics
Added to DOAB on : 2019-07-30 20:02:02
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A translation surface is a two-dimensional manifold, equipped with a translation structure. It can be obtained by considering Euclidean polygons and identifying their edges via translations. The vertices of the polygons form singularities if the translation structure can not be extended to them. We study translation surfaces with wild singularities, regarding the topology (genus and space of ends), the geometry (behavior of the singularities), and how the topology and the geometry are related.

Differential Geometrical Theory of Statistics

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ISBN: 9783038424253 9783038424246 Year: Pages: XIV, 458 DOI: 10.3390/books978-3-03842-425-3 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General)
Added to DOAB on : 2017-06-12 12:20:37
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This Special Issue "Differential Geometrical Theory of Statistics" collates selected invited and contributed talks presented during the conference GSI'15 on "Geometric Science of Information" which was held at the Ecole Polytechnique, Paris-Saclay Campus, France, in October 2015 (Conference web site: http://www.see.asso.fr/gsi2015).

New Trends in Fuzzy Set Theory and Related Items

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ISBN: 9783038971238 9783038971245 Year: Pages: 184 DOI: 10.3390/books978-3-03897-124-5 Language: englisch
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General) --- Mathematics
Added to DOAB on : 2018-09-04 12:29:08
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Since the launch, in 1965, of the key notion of a fuzzy subset by Lotfi A. Zadeh, this concept has succeeded in growing interest and development. Nowadays, it is undoubtedly one of the most powerful and appealing branches of mathematics. Its range of applications is wide and multidisciplinary, starting from computer sciences and artificial intelligence, but also touching on a vast set of scientific disciplines (physics, engineering, medicine, economics, social choice, etc.).The present Special Issue is devoted to introducing new trends on this theory, from an interdisciplinary point of view, and looking for a wide coverage of topics related to fuzzy set and systems.

Mobile laser scanning based determination of railway network topology and branching direction on turnouts

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Book Series: Schriftenreihe / Institut für Mess- und Regelungstechnik, Karlsruher Institut für Technologie ISSN: 16134214 ISBN: 9783731507437 Year: Volume: 038 Pages: XII, 137 p. DOI: 10.5445/KSP/1000077900 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Technology (General)
Added to DOAB on : 2019-07-28 18:37:01
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GNSS is often inaccurate and satellite signals are not always available, which results in ambiguous situations. In order to reduce their negative effects on train-borne localization, this work proposes an approach for the detection of tracks, turnouts, and branching directions solely from 2d lidar sensor measurements. The experimental evaluation shows highly correct and complete results. In summary, these detections are sufficient to reduce ambiguity problems in train-borne localization.

Selected Papers from 43rd International Conference of Theoretical Physics: Matter to the Deepest, Recent Developments In Physics Of Fundamental Interactions (MTTD2019)

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ISBN: 9783039283705 9783039283712 Year: Pages: 94 DOI: 10.3390/books978-3-03928-371-2 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Physics (General)
Added to DOAB on : 2020-04-07 23:07:09
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Understanding the origins of the Universe and how it works and evolves is the present mission of a large community of physicists. It calls for a large scale vision, involving general relativity, astrophysics, and cosmology. Theoretical physics is presently at an important moment in its history. As predicted by Einstein, gravitational waves have been experimentally proven to exist. With the discovery of the Higgs boson, the set of interactions and elementary particles that is called the ""standard model"" (SM), is complete. Yet the Higgs boson itself, and how it breaks the electroweak symmetry, remains a fascinating subject requiring further studies and verification. Furthermore, several experimental facts are not accounted for by the SM: (i) the baryon asymmetry of the Universe, (ii) the nature and origin of dark matter, and (iii) the origin of neutrino masses; these have no unique, if any, explanation in the SM and yet will require answers from particle physics. We need to explore further both SM and its extensions. This is a subject of papers included in this book, which gives representation to the topics discussed during the Matter to the Deepest conference in 2019 in Poland (http://indico.if.us.edu.pl/event/5).

Topological Groups. Advances, Surveys, and Open Questions

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ISBN: 9783038976448 Year: Pages: 160 DOI: 10.3390/books978-3-03897-645-5 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2019-03-08 11:42:05
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Following the tremendous reception of our first volume on topological groups called ""Topological Groups: Yesterday, Today, and Tomorrow"", we now present our second volume. Like the first volume, this collection contains articles by some of the best scholars in the world on topological groups. A feature of the first volume was surveys, and we continue that tradition in this volume with three new surveys. These surveys are of interest not only to the expert but also to those who are less experienced. Particularly exciting to active researchers, especially young researchers, is the inclusion of over three dozen open questions. This volume consists of 11 papers containing many new and interesting results and examples across the spectrum of topological group theory and related topics. Well-known researchers who contributed to this volume include Taras Banakh, Michael Megrelishvili, Sidney A. Morris, Saharon Shelah, George A. Willis, O'lga V. Sipacheva, and Stephen Wagner.

Fuzzy Sets, Fuzzy Logic and Their Applications

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ISBN: 9783039285204 9783039285211 Year: Pages: 366 DOI: 10.3390/books978-3-03928-521-1 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-04-07 23:07:09
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The present book contains 20 articles collected from amongst the 53 total submitted manuscripts for the Special Issue “Fuzzy Sets, Fuzzy Loigic and Their Applications” of the MDPI journal Mathematics. The articles, which appear in the book in the series in which they were accepted, published in Volumes 7 (2019) and 8 (2020) of the journal, cover a wide range of topics connected to the theory and applications of fuzzy systems and their extensions and generalizations. This range includes, among others, management of the uncertainty in a fuzzy environment; fuzzy assessment methods of human-machine performance; fuzzy graphs; fuzzy topological and convergence spaces; bipolar fuzzy relations; type-2 fuzzy; and intuitionistic, interval-valued, complex, picture, and Pythagorean fuzzy sets, soft sets and algebras, etc. The applications presented are oriented to finance, fuzzy analytic hierarchy, green supply chain industries, smart health practice, and hotel selection. This wide range of topics makes the book interesting for all those working in the wider area of Fuzzy sets and systems and of fuzzy logic and for those who have the proper mathematical background who wish to become familiar with recent advances in fuzzy mathematics, which has entered to almost all sectors of human life and activity.

Keywords

fuzzy analytic hierarchy process --- decision-making --- partial consensus --- posterior aggregation --- fuzzy topology --- fuzzy convergence --- lattice-valued convergence --- ?-convergence space --- relative topologicalness --- p-topologcalness --- diagonal condition --- neighborhood condition --- fuzzy sets (FSs) --- uncertainty --- center of gravity (COG) defuzzification technique --- triangular fuzzy numbers (TFNs) --- grey numbers (GNs) --- fuzzy relation equations (FRE) --- grade point average (GPA) index --- residuated lattice --- soft set --- filter --- t-filter --- t-int-soft filter --- BCK/BCI-algebra --- (?,?)-US set --- (?,?)-US subalgebra --- (?,?)-US (closed) ideal --- (?,?)-US commutative ideal --- fuzzy topology --- fuzzy convergence --- ?-convergence space --- regularity --- intuitionistic fuzzy set --- similarity --- counterintuitive --- fuzzy graph --- picture fuzzy graph --- social network --- direct product --- lexicographic product --- strong product --- Interval-valued complex fuzzy sets --- distance measures --- rotational invariance --- reflectional invariance --- dynamic multiple attribute decision making --- fuzzy regression --- interval type-2 fuzzy sets --- fuzzy topology --- fuzzy convergence --- ?-convergence --- diagonal condition --- L-cotopological space --- L-topological space --- degree of L-continuity --- degree of L-closedness --- degree of L-openness --- performance management --- green supply chain --- decision making --- nonlinear mathematical modeling --- FMCG industries --- fuzzy DEMATEL --- bipolar fuzzy relation --- bipolar fuzzy reflexive (resp., symmetric and transitive) relation --- bipolar fuzzy equivalence relation --- bipolar fuzzy partition --- (a, b)-level set --- fuzzy logic --- finance --- banking --- banking crisis management --- fuzzy number --- ?-limit set --- periodic point --- Zadeh’s extension --- smart health --- fuzzy collaborative intelligence --- fuzzy analytic hierarchy process --- suitability --- picture fuzzy numbers --- interaction operations --- partitioned Heronian --- aggregation operators --- hotel selection --- Pythagorean fuzzy set --- Dempster–Shafer evidence theory --- basic probability assignment --- medical diagnosis --- interval-valued fuzzy soft set --- interval-valued fuzzy soft topology --- interval-valued fuzzy soft point --- interval-valued fuzzy soft neighborhood --- interval-valued fuzzy soft quasi-neighborhood --- interval-valued fuzzy soft separation axioms

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