LEADER 03029nam 2200577 a 450 001 9910453016303321 005 20200520144314.0 010 $a1-299-48624-X 010 $a0-19-155295-X 010 $a0-19-177502-9 035 $a(CKB)2550000001024691 035 $a(EBL)1179556 035 $a(SSID)ssj0000871499 035 $a(PQKBManifestationID)11531945 035 $a(PQKBTitleCode)TC0000871499 035 $a(PQKBWorkID)10822166 035 $a(PQKB)11364444 035 $a(StDuBDS)EDZ0000168206 035 $a(MiAaPQ)EBC1179556 035 $a(Au-PeEL)EBL1179556 035 $a(CaPaEBR)ebr10691670 035 $a(CaONFJC)MIL479874 035 $a(OCoLC)843200350 035 $a(EXLCZ)992550000001024691 100 $a20110602d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFirst steps in random walks$b[electronic resource] $efrom tools to applications /$fJ. Klafter and I.M. Sokolov 210 $aOxford $cOxford University Press$d2011 215 $a1 online resource (161 p.) 300 $aDescription based upon print version of record. 311 $a0-19-923486-8 320 $aIncludes bibliographical references and index. 327 $a1. Characteristic functions -- 2. Generating functions and applications -- 3. Continuous-time random walks -- 4. CTRW and aging phenomena -- 5. Master equations -- 6. Fractional diffusion and Fokker-Planck equations for subdiffusion -- 7. Le?vy flights -- 8. Coupled CTRW and Le?vy walks -- 9. Simple reactions : A+B->B -- 10. Random walks on percolation structures. 330 $a"The name "random walk" for a problem of a displacement of a point in a sequence of independent random steps was coined by Karl Pearson in 1905 in a question posed to readers of "Nature". The same year, a similar problem was formulated by Albert Einstein in one of his Annus Mirabilis works. Even earlier such a problem was posed by Louis Bachelier in his thesis devoted to the theory of financial speculations in 1900. Nowadays the theory of random walks has proved useful in physics and chemistry (diffusion, reactions, mixing in flows), economics, biology (from animal spread to motion of subcellular structures) and in many other disciplines. The random walk approach serves not only as a model of simple diffusion but of many complex sub- and super-diffusive transport processes as well. This book discusses the main variants of random walks and gives the most important mathematical tools for their theoretical description"--$cProvided by publisher. 606 $aRandom walks (Mathematics) 608 $aElectronic books. 615 0$aRandom walks (Mathematics) 676 $a519.2/82 700 $aKlafter$b J$g(Joseph)$0888670 701 $aSokolov$b Igor M.$f1958-$0888671 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910453016303321 996 $aFirst steps in random walks$91985177 997 $aUNINA LEADER 04522nam 22006134a 450 001 9910143208903321 005 20190501220600.0 010 $a1-280-27133-7 010 $a9786610271337 010 $a0-470-30025-6 010 $a0-470-86158-4 010 $a0-470-86157-6 035 $a(CKB)111087027102742 035 $a(EBL)175035 035 $a(OCoLC)301735093 035 $a(SSID)ssj0000204327 035 $a(PQKBManifestationID)11199470 035 $a(PQKBTitleCode)TC0000204327 035 $a(PQKBWorkID)10188663 035 $a(PQKB)10168941 035 $a(MiAaPQ)EBC175035 035 $a(PPN)243232241 035 $a(EXLCZ)99111087027102742 100 $a20031203d2004 uy 0 101 0 $aeng 181 $ctxt 182 $cc 183 $acr 200 10$aModern experimental stress analysis$b[electronic resource] $ecompleting the solution of partially specified problems /$fJames F. Doyle 210 $aHoboken, NJ $cWiley$d2004 215 $a1 online resource (440 p.) 300 $aDescription based upon print version of record. 311 0 $a0-470-86156-8 320 $aIncludes bibliographical references (p. [413]-422) and index. 327 $aMODERN EXPERIMENTAL STRESS ANALYSIS; Contents; Preface; Notation; Introduction; 1 Finite Element Methods; 1.1 Deformation and Strain; 1.2 Tractions and Stresses; 1.3 Governing Equations of Motion; 1.4 Material Behavior; 1.5 The Finite Element Method; 1.6 Some Finite Element Discretizations; 1.7 Dynamic Considerations; 1.8 Geometrically Nonlinear Problems; 1.9 Nonlinear Materials; 2 Experimental Methods; 2.1 Electrical Filter Circuits; 2.2 Digital Recording and Manipulation of Signals; 2.3 Electrical Resistance Strain Gages; 2.4 Strain Gage Circuits; 2.5 Motion and Force Transducers 327 $a2.6 Digital Recording and Analysis of Images 2.7 Moire? Analysis of Displacement; 2.8 Holographic Interferometry; 2.9 Photoelasticity; 3 Inverse Methods; 3.1 Analysis of Experimental Data; 3.2 Parametric Modeling of Data; 3.3 Parameter Identification with Extrapolation; 3.4 Identification of Implicit Parameters; 3.5 Inverse Theory for Ill-Conditioned Problems; 3.6 Some Regularization Forms; 3.7 Relocation of Data onto a Grid Pattern; 3.8 Discussion; 4 Static Problems; 4.1 Force Identification Problems; 4.2 Whole-Field Displacement Data; 4.3 Strain Gages; 4.4 Traction Distributions 327 $a4.5 Nonlinear Data Relations 4.6 Parameter Identification Problems; 4.7 Choosing the Parameterization; 4.8 Discussion; 5 Transient Problems with Time Data; 5.1 The Essential Difficulty; 5.2 Deconvolution using Sensitivity Responses; 5.3 Experimental Studies; 5.4 Scalability Issues: Recursive Formulation; 5.5 The One-Sided Hopkinson Bar; 5.6 Identifying Localized Stiffness and Mass; 5.7 Implicit Parameter Identification; 5.8 Force Location Problems; 5.9 Discussion; 6 Transient Problems with Space Data; 6.1 Space-Time Deconvolution; 6.2 Preliminary Metrics; 6.3 Traction Distributions 327 $a6.4 Dynamic Photoelasticity 6.5 Identification Problems; 6.6 Force Location for a Shell Segment; 6.7 Discussion; 7 Nonlinear Problems; 7.1 Static Inverse Method; 7.2 Nonlinear Structural Dynamics; 7.3 Nonlinear Elastic Behavior; 7.4 Elastic-Plastic Materials; 7.5 Nonlinear Parameter Identification; 7.6 Dynamics of Cracks; 7.7 Highly Instrumented Structures; 7.8 Discussion; Afterword; References; Index 330 $aAll structures suffer from stresses and strains caused by factors such as wind loading and vibrations. Stress analysis and measurement is an integral part of the design and management of structures, and is used in a wide range of engineering areas. There are two main types of stress analyses - the first is conceptual where the structure does not yet exist and the analyst has more freedom to define geometry, materials, loads etc - generally such analysis is undertaken using numerical methods such as the finite element method. The second is where the structure (or a prototype) exists, and so s 606 $aStructural analysis (Engineering) 606 $aStrains and stresses 615 0$aStructural analysis (Engineering) 615 0$aStrains and stresses. 676 $a624.1 676 $a624.1/76 676 $a624.176 700 $aDoyle$b James F.$f1951-$0950289 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910143208903321 996 $aModern experimental stress analysis$92250789 997 $aUNINA LEADER 01015nam 2200325 450 001 9910688438103321 005 20230624175321.0 035 $a(CKB)5400000000044922 035 $a(NjHacI)995400000000044922 035 $a(EXLCZ)995400000000044922 100 $a20230624d2005 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModeling of electrophysiology and tension development in the human heart /$fGunnar Seemann 210 1$a[Place of publication not identified] :$cKIT Scientific Publishing,$d2005. 215 $a1 online resource 311 $a1000003545 606 $aElectrophysiology 615 0$aElectrophysiology. 676 $a612.813 700 $aSeemann$b Gunnar$01367951 801 0$bNjHacI 801 1$bNjHacl 906 $aBOOK 912 $a9910688438103321 996 $aModeling of electrophysiology and tension development in the human heart$93392183 997 $aUNINA