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Record Nr. |
UNINA9910817970903321 |
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Titolo |
Physical knots : knotting, linking, and folding geometric objects in R³ : AMS Special Session on Physical Knotting and Unknotting, Las Vegas, Nevada, April 21-22, 2001 / / Jorge Alberto Calvo, Kenneth C. Millett, Eric J. Rawdon, editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2002] |
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©2002 |
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ISBN |
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0-8218-7894-8 |
0-8218-3200-X |
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Descrizione fisica |
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1 online resource (356 p.) |
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Collana |
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Contemporary mathematics, ; 304 , 0271-4132 |
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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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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Contents -- Preface -- Physical knots -- The space of piecewise-linear knots -- Characterizing polygons in R3 -- Upper bounds for equilateral stick numbers -- An investigation of equilateral knot spaces and ideal physical knot configurations -- Topological effects on the average size of random knots -- Bringing an order into random knots -- The probability of knotting in lattice polygons -- Knotting in adsorbing lattice polygons -- In search of the ideal trefoil knot -- The crossing numbers of thick knots and links -- On thickness and packing density for knots and links -- Approximating ropelength by energy functions -- Conformal geometric viewpoints for knots and links I -- Curves, circles, and spheres -- The rupture of knotted strings under tension -- Classifying and applying rational knots and rational tangles -- Untangling some spheres in R4 by energy minimizing flow -- Convexifying polygons in 3D: A survey -- Infinitesimally locked self-touching linkages with applications to locked trees -- Biologic. |
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