01842nam a2200349 a 4500001001200000003000800012006001900020007001500039008004100054010001700095020003000112020002700142020002700169040002100196035002100217050002500238082001800263100001800281245010800299260004900407300001800456490004500474504005100519505051700570533015201087650001701239655002901256700001801285710001701303830004601320856012601366ebr10671380CaPaEBRm        u        cr cn|||||||||090206s2009    nyuad   sb    001 0 eng d  z  2009004981  z9781607410706 (softcover)  z1607410702 (softcover)  z9781613246290 (e-book)  aCaPaEBRcCaPaEBR  a(OCoLC)75838494014aQA612.2b.D53 2009eb04a514/.22422221 aDiao, Yuanan.10aGeometric properties and problems of thick knotsh[electronic resource] /cYuanan Diao and Claus Ernst.  aNew York :bNova Science Publishers,cc2009.  a81 p. :bill.1 aMathematics research developments series  aIncludes bibliographical references and index.0 aIntroduction -- 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.  aElectronic reproduction.bPalo Alto, Calif. :cebrary,d2013.nAvailable via World Wide Web.nAccess may be limited to ebrary affiliated libraries. 0aKnot theory. 7aElectronic books.2local1 aErnst, Claus.2 aebrary, Inc. 0aMathematics research developments series.40uhttp://site.ebrary.com/lib/rucke/Doc?id=10671380zAn electronic book accessible through the World Wide Web; click to view