LEADER 00889nas# 22002531i 450 001 UON00237897 005 20231205103534.526 011 $a0721-9431 100 $a20030730b19732001 |0itac50 ba 101 $amul 102 $aDE 105 $a|||| 1|||| 110 $aaG||||||||| 200 1 $aRussia Mediaevalis 210 $a1(1973)-2001. - München$cWilhelm Fink$d1973-2001 215 $a. Biennale. 620 $aDE$dMünchen$3UONL003025 712 $aFink$3UONV259526$4650 801 $aIT$bSOL$c20240220$gRICA 899 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$2UONSI$41(1973)-3(1977)$cPER DUOMO A 41 ; 912 $aUON00237897 950 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$bSI 1(1973)-3(1977)$dSI PER DUOMO A 41 $eSI EO 1994 7 996 $aRussia Mediaevalis$91324612 997 $aUNIOR LEADER 04428nam 2200601Ia 450 001 9910438136503321 005 20170816121424.0 010 $a1-283-91095-0 010 $a3-642-30958-5 024 7 $a10.1007/978-3-642-30958-8 035 $a(CKB)2670000000279777 035 $a(EBL)1082506 035 $a(OCoLC)818413986 035 $a(SSID)ssj0000798582 035 $a(PQKBManifestationID)11957462 035 $a(PQKBTitleCode)TC0000798582 035 $a(PQKBWorkID)10754615 035 $a(PQKB)10169400 035 $a(DE-He213)978-3-642-30958-8 035 $a(MiAaPQ)EBC1082506 035 $a(PPN)168318091 035 $a(EXLCZ)992670000000279777 100 $a20121204d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEncyclopedia of distances /$fMichel Marie Deza, Elena Deza 205 $a2nd ed. 210 $aHeidelberg ;$aNew York $cSpringer$dc2013 215 $a1 online resource (643 p.) 300 $aDescription based upon print version of record. 311 $a3-642-30957-7 320 $aIncludes bibliographical references and index. 327 $aPart I. Mathematics of Distances -- 1 General Definitions -- 2 Topological Spaces -- 3 Generalization of Metric Spaces -- 4 Metric Transforms -- 5 Metrics on Normed Structures -- Part II. Geometry and Distances -- 6 Distances in Geometry -- 7 Riemannian and Hermitian Metrics -- 8 Distances on Surfaces and Knots -- 9 Distances on Convex Bodies, Cones and Simplicial Complexes -- Part III. Distances in Classical Mathematics -- 10 Distances in Algebra -- 11 Distances on Strings and Permutations -- 12 Distances on Numbers, Polynominals and Matrices -- 13 Distances in Functional Analysis -- 14 Distances in Probability Theory -- Part IV. Distances in Applied Mathematics -- 15 Distances in Graph theory -- 16 Distances in Coding Theory -- 17 Distances and Similarities in Data Analysis -- 18 Distances in Systems and Mathematical Engineering -- Part V. Computer-Related Distances -- 19 Distances on Real and Digital Planes -- 20 Voronoi Diagram Distances -- 21 Image and Audio Distances -- 22 Distances in Networks -- Part VI. Distances in Natural Sciences -- 23 Distances in Biology -- 24 Distances in Physics and Chemistry -- 25 Distances in Earth Science and Astronomy -- 26 Distances in Cosmology and Theory of Relativity -- Part VII. Real-World Distances -- 27 Length Measures and Scales -- 28 Distances in Applied Social Sciences -- 29 Other Distances. 330 $aThis updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a field now regarded as an essential tool in many areas of pure and applied mathematics.   The publication of this volume coincides with intensifying research efforts into metric spaces and especially distance design for applications. Accurate metrics have become a crucial goal in computational biology, image analysis, speech recognition and information retrieval.   Leaving aside the practical questions that arise during the selection of a ?good? distance function, this work focuses on providing the research community with an invaluable comprehensive listing of the main available distances.   As well as providing standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core entries. In addition to distances themselves, the authors have collated numerous fascinating curiosities in their Who?s Who of metrics, including distance-related notions and paradigms that enable applied mathematicians in other sectors to deploy research tools that non-specialists justly view as arcane. In expanding access to these techniques, and in many cases enriching the context of distances themselves, this peerless volume is certain to stimulate fresh research. 606 $aMetric spaces 606 $aDistances$xMeasurement 615 0$aMetric spaces. 615 0$aDistances$xMeasurement. 676 $a514 676 $a514.32503 676 $a514/.32503 700 $aDeza$b M.$f1934-$0906997 701 $aDeza$b Elena$0302138 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438136503321 996 $aEncyclopedia of distances$92501447 997 $aUNINA