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Ropelength
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Geliefert zwischen Mo., 26.01.2026 und Di., 27.01.2026
Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In knot theory each realization of a link or knot has an associated ropelength. Intuitively this is the minimal length of an ideally flexible rope that is needed to tie a given link, or knot. Knots and links that minimize ropelength are called ideal knots and ideal links respectively.The ropelength of a knot curve C is defined as the ratio {scriptstyle L, =, operatorname{Len}(C)/ tau(C)}, where (C) is the thickness of the link defined by C.In our terms we are asking if there is a knot with ropelength 12. This question has been answered, and it was shown to be impossible. However, the search for the answer has spurred a lot of research on both theoretical and computational ground. It has been shown that for each link type there is a ropelength minimizer although it is only of class C 1, 1.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131260582
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131260582
- Format Fachbuch
- Titel Ropelength
- Herausgeber Betascript Publishing
- Anzahl Seiten 88
- Genre Mathematik
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