05741nam 2200685 a 450 991045812060332120200520144314.01-281-91891-19786611918910981-270-976-2(CKB)1000000000399360(EBL)1679512(OCoLC)879074277(SSID)ssj0000269434(PQKBManifestationID)11240979(PQKBTitleCode)TC0000269434(PQKBWorkID)10243712(PQKB)11553964(MiAaPQ)EBC1679512(WSP)00006497(Au-PeEL)EBL1679512(CaPaEBR)ebr10255992(CaONFJC)MIL191891(EXLCZ)99100000000039936020070419d2007 uy 0engur|n|---|||||txtccrWavelet and wave analysis as applied to materials with micro or nanostructure[electronic resource] /Carlo Cattani, Jeremiah RushchitskyHackensack, NJ World Scientific Pub. Co.c20071 online resource (473 p.)Series on advances in mathematics for applied sciences ;v. 74Description based upon print version of record.981-270-784-0 Includes bibliographical references (p. 443-454) and index.Contents; Preface; 1. Introduction; 2. Wavelet Analysis; 2.1 Wavelet and Wavelet Analysis. Preliminary Notion; 2.1.1 The space L 2 (R); 2.1.2 The spaces L p (R) (p = 1); 2.1.3 The Hardy spaces H p ( R) (p = 1); 2.1.4 The sketch scheme of wavelet analysis; 2.2 Rademacher, Walsh and Haar Functions; 2.2.1 System of Rademacher functions; 2.2.2 System of Walsh functions; 2.2.3 System of Haar functions; 2.3 Integral Fourier Transform. Heisenberg Uncertainty Principle; 2.4 Window Transform. Resolution; 2.4.1 Examples of window functions; 2.4.2 Properties of the window Fourier transform2.4.3 Discretization and discrete window Fourier transform2.5 Bases. Orthogonal Bases. Biorthogonal Bases; 2.6 Frames. Conditional and Unconditional Bases; 2.6.1 Wojtaszczyk's definition of unconditional basis (1997); 2.6.2 Meyer's definition of unconditional basis (1997); 2.6.3 Donoho's definition of unconditional basis (1993); 2.6.4 Definition of conditional basis; 2.7 Multiresolution Analysis; 2.8 Decomposition of the Space L 2 (R); 2.9 Discrete Wavelet Transform. Analysis and Synthesis; 2.9.1 Analysis: transition from the fine scale to the coarse scale2.9.2 Synthesis: transition from the coarse scale to the fine scale2.10 Wavelet Families; 2.10.1 Haar wavelet; 2.10.2 Strömberg wavelet; 2.10.3 Gabor wavelet; 2.10.4 Daubechies-Jaffard-Journé wavelet; 2.10.5 Gabor-Malvar wavelet; 2.10.6 Daubechies wavelet; 2.10.7 Grossmann-Morlet wavelet; 2.10.8 Mexican hat wavelet; 2.10.9 Coifman wavelet - coiflet; 2.10.10 Malvar-Meyer-Coifman wavelet; 2.10.11 Shannon wavelet or sinc-wavelet; 2.10.12 Cohen-Daubechies-Feauveau wavelet; 2.10.13 Geronimo-Hardin-Massopust wavelet; 2.10.14 Battle-Lemarié wavelet; 2.11 Integral Wavelet Transform2.11.1 Definition of the wavelet transform2.11.2 Fourier transform of the wavelet; 2.11.3 The property of resolution; 2.11.4 Complex-value wavelets and their properties; 2.11.5 The main properties of wavelet transform; 2.11.6 Discretization of the wavelet transform; 2.11.7 Orthogonal wavelets; 2.11.8 Dyadic wavelets and dyadic wavelet transform; 2.11.9 Equation of the function (signal) energy balance; 3. Materials with Micro- or Nanostructure; 3.1 Macro-, Meso-, Micro-, and Nanomechanics; 3.2 Main Physical Properties of Materials; 3.3 Thermodynamical Theory of Material Continua3.4 Composite Materials3.5 Classical Model of Macroscopic (Effective) Moduli; 3.6 Other Microstructural Models; 3.6.1 Bolotin model of energy continualization; 3.6.2 Achenbach-Hermann model of effective stiffness; 3.6.3 Models of effective stiffness of high orders; 3.6.4 Asymptotic models of high orders; 3.6.5 Drumheller-Bedford lattice microstructural models; 3.6.6 Mindlin microstructural theory; 3.6.7 Eringen microstructural model. Eringen-Maugin model; 3.6.8 Pobedrya microstructural theory; 3.7 Structural Model of Elastic Mixtures; 3.7.1 Viscoelastic mixtures; 3.7.2 Piezoelastic mixtures3.8 Computer Modelling Data on Micro- and Nanocomposites This seminal book unites three different areas of modern science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of a new type of solitary wave in composite materials, nonlinear waves. Each of the three areas is described in a simple and understandable form, focusing on the many perspectives of the links among the three. All of the techniques and procedures are described here in the clearest and most open form, enabling the reader to quickly learn and use them when faced with the new and more advanced problemSeries on advances in mathematics for applied sciences ;v. 74.Wavelets (Mathematics)NanostructuresMathematicsElectronic books.Wavelets (Mathematics)NanostructuresMathematics.620.1/18015152433Cattani Carlo1954-512688Rushchit͡skiĭ I͡A. I͡A(I͡Arema I͡Aroslavovich)996608MiAaPQMiAaPQMiAaPQBOOK9910458120603321Wavelet and wave analysis as applied to materials with micro or nanostructure2284998UNINA04733nam 2200565 450 991082048610332120230124193741.00-7618-6774-0(CKB)3710000000768241(EBL)4603729(OCoLC)953969232(MiAaPQ)EBC4603729(EXLCZ)99371000000076824120160821h20162016 uy 0engur|n|---|||||rdacontentrdamediardacarrierUnderstanding war an annotated bibliography /Christian P. PotholmLanham, Maryland :University Press of America, Inc.,2016.©20161 online resource (720 p.)The War Trilogy ;Volume 3Includes index.0-7618-6773-2 Contents; Preface; I: Analyzing Warfare; 1 Why Study Military Matters?; 2 Eros and Mars: The Nature of Humankind; or, Making Love and War; 3 The Search for Fundamental Truths about War; 4 Geopolitics and the Long Shadow of Geography; 5 The Template of Mars; Superior Weapons and Technological Entrepreneurship; Superior Discipline; Sustained but Controlled Ruthlessness; Receptivity to Military and Integrative Innovation; The Ability and Willingness to Protect Capital from People and Rulers; The Centrality of Superior Will; The Belief That There Will Always Be Another War6 The Decision to Drop the Atomic Bomb or, Hiroshima as Seen through the Lens of Mars; 7 Mars Is a Jealous God, Part 1; 8 Is the Template Obsolete in the Face of Insurgencies?; Theoreticians and Practitioners; Overviews of Insurgency; Some Illustrative Case Studies: Showing the Experience of Insurgency and Counterinsurgency across Cross-Cultural Lines; 9 The American "Empire" and the Dangers That Lie Ahead; The Empire as Empire (or Hegemon); The Nuclear Dimension; China; Failed and Fragile States; Islamic Radical Salafists and Local and Global InsurgenciesAfghanistan: Watch on the Danube ReduxII: Topics in War; 10 Early Warfare; 11 Classical Infantry; 12 Classical Infantry; 13 The Horsemen Cometh; Part I: The Mounted Horsemen of the Steppes; Part II: European Heavy Horse: Feudalism and Knighthood, Power Diffusion and Its Consequences, and Later Power Centralization; Part III: Byzantium; Part IV: African Heavy Horse: Power Centralization and Power Diffusion; Part V: Arab Light(er) Horse: Flow and Ebb, Ebb and Flow; Part VI: Japanese and Chinese Horsemen; Part VII: Parthian and Sassanian HorsemenPart VIII: Mongol and Later Turkic Asian HorsemenPart IX: Indian and South Asian Horsemen; 14 The Vikings; 15 The Gunpowder and Discipline Revolution and the Expansion of the Gunpowder Empires; 16 Era of the European Great Captains; Maurice of Nassau (1567-1625); Gustavus Adolphus (1594-1632); The Duke of Marlborough (1650-1722); Charles XII (1682-1718); Louis XIV (1638-1715); Frederick the Great (1712-1786); 17 Warfare on the Periphery and the Expansion of the European Gunpowder Empires; 18 Revolution and Civil War; 19 The Real United States Is Born; American Military History (General)War of 1812The Mexican War; 20 Further Democratization of War; 21 The American Civil War; 22 Civil Wars in Perspective; Some Illustrative Examples; 23 Precursors to 20th-Century War; 24 World War I; 25 Transition within the Continuum; 26 The Battle of Nomonhan/Khalkin Gol; 27 The Triumph of the Offense; ; 28 World War II; 29 The Cold War and Nuclear Weapons, 1946-1992; 30 The Korean War; or, The Forgotten War of Great Irony; 31 Vietnam; 32 Mars Is a Jealous God, Part II; Afghanistan I and II; Iraq Wars II and III; 33 Weapons in War; 34 Logistics in War; 35 The Daughters of Mars36 Homosexuality and WarfareUnderstanding War divides war material into eighteen overarching themes of analysis and fifty seminal topics. In the process, it gives the reader access to the broadest possible array of material across both time and space, beginning with the earliest forms of warfare and concluding with the contemporary situation.WarBibliographyWarHistoryBibliographyMilitary art and scienceHistoryBibliographyMilitary art and scienceBibliographyWarWarHistoryMilitary art and scienceHistoryMilitary art and science016.35502Potholm Christian P.244422MiAaPQMiAaPQMiAaPQBOOK9910820486103321Understanding war3917270UNINA