LEADER 04034nam 2200637 450 001 9910828806903321 005 20230807214315.0 010 $a3-527-68735-1 010 $a3-527-68734-3 010 $a3-527-68733-5 035 $a(CKB)3710000000387704 035 $a(EBL)3059093 035 $a(OCoLC)922955094 035 $a(SSID)ssj0001496566 035 $a(PQKBManifestationID)11850747 035 $a(PQKBTitleCode)TC0001496566 035 $a(PQKBWorkID)11484885 035 $a(PQKB)10007370 035 $a(MiAaPQ)EBC3059093 035 $a(Au-PeEL)EBL3059093 035 $a(CaPaEBR)ebr11041409 035 $a(CaONFJC)MIL769771 035 $a(EXLCZ)993710000000387704 100 $a20150416h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aScale invariance $eself-similarity of the physical world /$fRichard N. Henriksen 210 1$aWeinheim, Germany :$cWiley-VCH,$d2015. 210 4$dİ2015 215 $a1 online resource (301 p.) 300 $aDescription based upon print version of record. 311 $a3-527-41335-9 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $a""Cover ""; ""Contents ""; ""Preface ""; ""Acknowledgments ""; ""Introduction ""; ""Chapter 1 Arbitrary Measures of the Physical World ""; ""1.1 Similarity ""; ""1.2 Dimensional Similarity ""; ""1.3 Physical Equations and the 'Pi' Theorem ""; ""1.4 Applications of the Pi Theorem "" 327 $a""1.4.1 Plane Pendulum """"1.4.2 Pipe Flow of a Fluid ""; ""1.4.3 Steady Motion of a Rigid Object in Viscous 'Fluid' ""; ""1.4.4 Diffusion and Self-Similarity ""; ""1.4.5 Ship Wave Drag ""; ""1.4.6 Adiabatic Gas Flow ""; ""1.4.7 Time-Dependent Adiabatic Flow "" 327 $a""1.4.8 Point Explosion in a Gaseous Medium """"1.4.9 Applications in Fundamental Physics ""; ""1.4.10 Drag on a Flexible Object in Steady Motion ""; ""1.4.11 Dimensional Analysis of Mammals ""; ""1.4.12 Trees ""; ""References ""; ""Chapter 2 Lie Groups and Scaling Symmetry "" 327 $a""2.1 The Rescaling Group """"2.1.1 Rescaling Physical Objects ""; ""2.1.2 Reconciliation with the Buckingham Pi Theorem ""; ""2.1.3 Rescaling and Self-Similarity as a Lie Algebra ""; ""2.1.4 Practical Lie Self-Similarity ""; ""2.2 Familiar Physical Examples "" 327 $a""3.2.1 Self-Similar Lorentz Boost "" 606 $aScaling laws (Statistical physics) 606 $aSelf-similar processes 606 $aStatistical mechanics 615 0$aScaling laws (Statistical physics) 615 0$aSelf-similar processes. 615 0$aStatistical mechanics. 676 $a530.1595 700 $aHenriksen$b R. N.$0857889 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828806903321 996 $aScale invariance$93972462 997 $aUNINA