LEADER 02162nam 2200541 a 450 001 9910458003603321 005 20200520144314.0 010 $a1-61324-629-3 035 $a(CKB)2550000000060197 035 $a(OCoLC)758384940 035 $a(CaPaEBR)ebrary10671380 035 $a(SSID)ssj0000569090 035 $a(PQKBManifestationID)12262383 035 $a(PQKBTitleCode)TC0000569090 035 $a(PQKBWorkID)10536616 035 $a(PQKB)11496917 035 $a(MiAaPQ)EBC3019815 035 $a(Au-PeEL)EBL3019815 035 $a(CaPaEBR)ebr10671380 035 $a(EXLCZ)992550000000060197 100 $a20090206d2009 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeometric properties and problems of thick knots$b[electronic resource] /$fYuanan Diao and Claus Ernst 210 $aNew York $cNova Science Publishers$dc2009 215 $a1 online resource (91 p.) 225 1 $aMathematics research developments series 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-60741-070-2 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Some basic facts of knot theory -- Thicknesses of knots -- Ropelengths of knots -- Smooth knots vs knots on the cubic lattice -- Global lower bound on ropelength of knots -- General lower bounds on ropelength of knots -- General upper bounds on ropelength of knots -- Ropelength upper bounds for special classes of knots -- The spectrum of powers realizable by thick knots -- Total curvature of thick knots -- The linking number of a thick link with two or more components -- Some open questions. 410 0$aMathematics research developments series. 606 $aKnot theory 608 $aElectronic books. 615 0$aKnot theory. 676 $a514/.2242 700 $aDiao$b Yuanan$0862329 701 $aErnst$b Claus$0862330 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910458003603321 996 $aGeometric properties and problems of thick knots$91924889 997 $aUNINA