LEADER 01193nam--2200361---450 001 990005812480203316 005 20171201113426.0 010 $a9780199548262 035 $a000581248 035 $aUSA01000581248 035 $a(ALEPH)000581248USA01 035 $a000581248 100 $a20130227d2010----km-y0itay50------ba 101 $aeng 102 $aUS 105 $aa---||||001yy 200 1 $aScientific methods and cultural heritage$ean introduction to the application of materials science to archaeometry and conservation science$fGilberto Artioli$gwith contributions from I. Angelini...[et al.] 210 $aOxford$cOxford University Press$d2010 215 $aXIV, 536 p.$cill.$d26 cm 606 0 $aArcheometria$2BNCF 676 $a363.69 700 1$aARTIOLI,$bGilberto$0329323 801 0$aIT$bsalbc$gISBD 912 $a990005812480203316 951 $a621 ART/ 17$b54/DF$c621 951 $a363.69 ART 1$b40502 Sci.$c363$d00332298 951 $a363.69 ART 1 a$b40501 Sci.$c363$d00332297 959 $aBK 969 $aDF 969 $aSCI 979 $aIANNACO$b10$c20130227$lUSA01$h1241 996 $aScientific methods and cultural heritage$9758833 997 $aUNISA LEADER 04776nam 2200661Ia 450 001 9910451067003321 005 20200520144314.0 010 $a1-281-91198-4 010 $a9786611911980 010 $a981-277-224-3 035 $a(CKB)1000000000409659 035 $a(EBL)1679568 035 $a(OCoLC)879023785 035 $a(SSID)ssj0000192744 035 $a(PQKBManifestationID)11186979 035 $a(PQKBTitleCode)TC0000192744 035 $a(PQKBWorkID)10216084 035 $a(PQKB)11013654 035 $a(MiAaPQ)EBC1679568 035 $a(WSP)00006623 035 $a(Au-PeEL)EBL1679568 035 $a(CaPaEBR)ebr10255857 035 $a(CaONFJC)MIL191198 035 $a(EXLCZ)991000000000409659 100 $a20080328d2007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLinKnot$b[electronic resource] $eknot theory by computer /$fSlavik Jablan, Radmila Sazdanovic? 210 $aHackensack, NJ $cWorld Scientific$dc2007 215 $a1 online resource (500 p.) 225 1 $aK & E series on knots and everything ;$v21 300 $aDescription based upon print version of record. 311 $a981-277-223-5 320 $aIncludes bibliographical references (p. 459-474) and index. 327 $aContents; Preface; 1. Notation of Knots and Links; 1.1 Basic graph theory; 1.2 Shadows of KLs; 1.2.1 Gauss and Dowker code; 1.3 KL diagrams; 1.4 Reidemeister moves; 1.5 Conway notation; 1.6 Classification of KLs; 1.7 LinKnot functions and KL notation; 1.8 Rational world and KL invariants; 1.8.1 Chirality of rational KLs; 1.9 Unlinking number and unlinking gap; 1.10 Prime and composite KLs; 1.11 Non-invertible KLs; 1.11.1 Tangle types; 1.11.2 Non-invertible pretzel knots; 1.11.3 Non-invertible arborescent knots; 1.11.4 Non-invertible polyhedral knots; 1.12 Reduction of R-tangles 327 $a1.12.1 KLs with unlinking number one1.13 Braids; 1.13.1 KLs and braids; 1.14 Braid family representatives; 1.14.1 Applications of minimum braids and braid family representatives; 1.15 More KL invariants; 1.16 Borromean links; 2. Recognition and Generation of Knots and Links; 2.1 Recognition of KLs; 2.1.1 Group of KL; 2.2 Polynomial invariants; 2.3 Vassiliev invariants; 2.4 Experimenting with KLs; 2.5 Derivation and classification of KLs; 2.6 Basic polyhedra and polyhedral KLs; 2.7 Basic polyhedra and non-algebraic tangles; 2.7.1 Generalized tangles; 2.7.2 n-tangles and basic polyhedra 327 $a2.7.3 Non-algebraic tangle compositions and component algebra2.8 KL tables; 2.8.1 Non-alternating and almost alternating KLs; 2.9 Projections of KLs and chirality; 2.10 Families of undetectable KLs; 2.10.1 Detecting chirality of KLs by polynomial invariants; 2.11 A dream- new KL tables; 3. History of Knot Theory and Applications of Knots and Links; 3.1 History of knot theory; 3.2 Mirror curves; 3.2.1 Tamil treshold designs; 3.2.2 Tchokwe sand drawings; 3.2.3 Construction of mirror curves; 3.2.4 Enumeration of mirror curves; 3.2.5 Lunda designs; 3.2.6 Polyominoes 327 $a3.2.6.1 Lunda polyominoes and Lunda animals3.2.7 KLs and mirror curves; 3.2.8 Mirror curves on di erent surfaces; 3.2.9 Mirror curves in art; 3.2.10 KLs and self-avoiding curves; 3.3 KLs and fullerenes; 3.3.1 General fullerenes, graphs, symmetry and isomers; 3.3.2 5/6 fullerenes; 3.3.3 Knot theory and fullerenes; 3.3.4 Nanotubes, conical and biconical fullerenes and their symmetry; 3.3.5 Fullerenes on other surfaces; 3.4 KLs and logic; 3.5 Waveforms; 3.6 Knot automata; Bibliography; Index 330 $a LinKnot - Knot Theory by Computer provides a unique view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences, including chemistry, molecular biology and physics. The book covers basic notions in knot theory, as well as new methods for handling open problems such as unknotting number, braid family representatives, invertibility, amphicheirality, undetectability, non-algebraic tangles, polyhedral links, and (2,2)-moves. Hands-on computations using Mathematica or the webMathematica package < 410 0$aK & E series on knots and everything ;$vv. 21. 606 $aKnot theory$xData processing 606 $aLink theory$xData processing 608 $aElectronic books. 615 0$aKnot theory$xData processing. 615 0$aLink theory$xData processing. 676 $a514.2242 700 $aJablan$b Slavik V$0486856 701 $aSazdanovic?$b Radmila$0903353 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910451067003321 996 $aLinKnot$92019514 997 $aUNINA