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Record Nr. |
UNINA9910970449603321 |
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Autore |
Diao Yuanan |
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Titolo |
Geometric properties and problems of thick knots / / Yuanan Diao and Claus Ernst |
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Pubbl/distr/stampa |
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New York, : Nova Science Publishers, c2009 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (91 p.) |
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Collana |
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Mathematics research developments series |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction -- Some basic facts of knot theory -- Thicknesses of knots -- Ropelengths of knots -- Smooth knots vs knots on the cubic lattice -- Global lower bound on ropelength of knots -- General lower bounds on ropelength of knots -- General upper bounds on ropelength of knots -- Ropelength upper bounds for special classes of knots -- The spectrum of powers realizable by thick knots -- Total curvature of thick knots -- The linking number of a thick link with two or more components -- Some open questions. |
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Sommario/riassunto |
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In this text, the authors first give a brief review of the basic concepts and terminologies such as the thickness of a knot and the rope length of a knot. They then review the main results in this field. |
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