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Curvature / Curves / Torsion tensor / Polygon / Torsion of a curve / Polymer physics / Sphere / Total curvature / Differential geometry of curves / Geometry / Differential geometry / Mathematical analysis


Total Curvature and Total Torsion of Knotted Polymers Patrick Plunkett,† Michael Piatek,‡ Akos Dobay,§ John C. Kern,† Kenneth C. Millett,| Andrzej Stasiak,⊥ and Eric J. Rawdon*,# Department of Mathematics and Co
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St. Paul / Santa Barbara / Crisona / Paris / Ithaca / Munich / Amsterdam / Reading / London / Moore / /

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World Scientific Publishing / Cornell University Press / /

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Germany / Switzerland / United States / Singapore / /

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UniVersity of St. Thomas / Duquesne UniVersity / UniVersity of Washington / UniVersity of Lausanne / Laboratory of Ultrastructural Analysis / UniVersity of California / /

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random polygon generation algorithm / inner product / hedgehog algorithm / /

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set 1000 / set 400 / /

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National Science Foundation / UniVersity of Lausanne / UniVersity of St. Thomas / Faculty of Biology and Medicine / UC Berkeley / UniVersity of California / Santa Barbara / Department of Mathematics / Department of Computer Science and Engineering / Cornell University / UniVersity of Washington / Seattle / Swiss National Science Foundation / Eric J. Rawdon* / # Department of Mathematics and Computer Science / Duquesne UniVersity / Pittsburgh / /

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Spiegelhalter / Kenneth C. Millett / | Andrzej / Michael Piatek / ‡ Akos / Addison Wesley / John Sullivan / Alexander Y. Grosberg / Eric J. Rawdon / E. J. Chem / John C. Kern / † Kenneth / /

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Lua / hedgehog algorithm / Metropolis Monte Carlo algorithm / random polygon generation algorithm / /

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