05160nam 2200649 a 450 991046526120332120200520144314.03-11-022401-110.1515/9783110224016(CKB)2560000000079377(EBL)835416(OCoLC)772845127(SSID)ssj0000591278(PQKBManifestationID)11364766(PQKBTitleCode)TC0000591278(PQKBWorkID)10672012(PQKB)11580171(MiAaPQ)EBC835416(DE-B1597)37948(OCoLC)840443947(DE-B1597)9783110224016(PPN)175536147(Au-PeEL)EBL835416(CaPaEBR)ebr10527901(CaONFJC)MIL628090(EXLCZ)99256000000007937720110927d2012 uy 0engur|n|---|||||txtccrInverse and ill-posed problems[electronic resource] theory and applications /Sergey I. KabanikhinBerlin ;Boston De Gruyterc20121 online resource (475 p.)Inverse and ill-posed problems series,1381-4524 ;55Description based upon print version of record.1-306-96839-9 3-11-022400-3 Includes bibliographical references and index. Frontmatter -- Preface / Kabanikhin, Sergey I. -- Denotations -- Contents -- Chapter 1. Basic concepts and examples -- Chapter 2. Ill-posed problems -- Chapter 3. Ill-posed problems of linear algebra -- Chapter 4. Integral equations -- Chapter 5. Integral geometry -- Chapter 6. Inverse spectral and scattering problems -- Chapter 7. Linear problems for hyperbolic equations -- Chapter 8. Linear problems for parabolic equations -- Chapter 9. Linear problems for elliptic equations -- Chapter 10. Inverse coefficient problems for hyperbolic equations -- Chapter 11. Inverse coefficient problems for parabolic and elliptic equations -- Appendix A -- Appendix B -- Epilogue -- Bibliography -- IndexThe theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a subject in which its creator takes a keen interest. The concept of ill-posed problems was introduced by Hadamard with the comment that these problems are physically meaningless and not worthy of the attention of serious researchers. Despite Hadamard's pessimistic forecasts, however, his unloved "child" has turned into a powerful theory whose results are used in many fields of pure and applied mathematics. What is the secret of its success? The answer is clear. Ill-posed problems occur everywhere and it is unreasonable to ignore them. Unlike ill-posed problems, inverse problems have no strict mathematical definition. In general, they can be described as the task of recovering a part of the data of a corresponding direct (well-posed) problem from information about its solution. Inverse problems were first encountered in practice and are mostly ill-posed. The urgent need for their solution, especially in geological exploration and medical diagnostics, has given powerful impetus to the development of the theory of ill-posed problems. Nowadays, the terms "inverse problem" and "ill-posed problem" are inextricably linked to each other. Inverse and ill-posed problems are currently attracting great interest. A vast literature is devoted to these problems, making it necessary to systematize the accumulated material. This book is the first small step in that direction. We propose a classification of inverse problems according to the type of equation, unknowns and additional information. We consider specific problems from a single position and indicate relationships between them. The problems relate to different areas of mathematics, such as linear algebra, theory of integral equations, integral geometry, spectral theory and mathematical physics. We give examples of applied problems that can be studied using the techniques we describe. This book was conceived as a textbook on the foundations of the theory of inverse and ill-posed problems for university students. The author's intention was to explain this complex material in the most accessible way possible. The monograph is aimed primarily at those who are just beginning to get to grips with inverse and ill-posed problems but we hope that it will be useful to anyone who is interested in the subject. Inverse and ill-posed problems series ;v. 55.Inverse problems (Differential equations)Boundary value problemsImproperly posed problemsElectronic books.Inverse problems (Differential equations)Boundary value problemsImproperly posed problems.515/.357Kabanikhin S. I725459MiAaPQMiAaPQMiAaPQBOOK9910465261203321Inverse and ill-posed problems2442784UNINA05391nam 22007815 450 99646593030331620200703233905.03-540-33895-010.1007/11748625(CKB)1000000000232953(SSID)ssj0000319413(PQKBManifestationID)11277214(PQKBTitleCode)TC0000319413(PQKBWorkID)10338266(PQKB)10208400(DE-He213)978-3-540-33895-6(MiAaPQ)EBC3067810(PPN)123134218(EXLCZ)99100000000023295320100301d2006 u| 0engurnn|008mamaatxtccrPervasive Computing[electronic resource] 4th International Conference, PERVASIVE 2006, Dublin, Ireland, May 7-10, 2006, Proceedings /edited by Kenneth P. Fishkin, Bernt Schiele, Paddy Nixon, Aaron Quigley1st ed. 2006.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2006.1 online resource (XVI, 404 p.) Information Systems and Applications, incl. Internet/Web, and HCI ;3968Bibliographic Level Mode of Issuance: Monograph3-540-33894-2 Includes bibliographical references and index.A Practical Approach to Recognizing Physical Activities -- Building Reliable Activity Models Using Hierarchical Shrinkage and Mined Ontology -- “Need to Know”: Examining Information Need in Location Discourse -- Collaborative Localization: Enhancing WiFi-Based Position Estimation with Neighborhood Links in Clusters -- Risks of Using AP Locations Discovered Through War Driving -- Declarative Support for Sensor Data Cleaning -- Detecting and Interpreting Muscle Activity with Wearable Force Sensors -- The Design of a Portable Kit of Wireless Sensors for Naturalistic Data Collection -- The Smart Tachograph – Individual Accounting of Traffic Costs and Its Implications -- Domino: Exploring Mobile Collaborative Software Adaptation -- Keep Your Eyes on the Road and Your Finger on the Trigger – Designing for Mixed Focus of Attention in a Mobile Game for Brief Encounters -- Unobtrusive Multimodal Biometrics for Ensuring Privacy and Information Security with Personal Devices -- LoKey: Leveraging the SMS Network in Decentralized, End-to-End Trust Establishment -- Scalability in a Secure Distributed Proof System -- Secure Mobile Computing Via Public Terminals -- iCAP: Interactive Prototyping of Context-Aware Applications -- iCam: Precise at-a-Distance Interaction in the Physical Environment -- Gesture Signature for Ambient Intelligence Applications: A Feasibility Study -- Exploring the Effects of Target Location Size and Position System Accuracy on Location Based Applications -- Displays in the Wild: Understanding the Dynamics and Evolution of a Display Ecology -- Modeling Human Behavior from Simple Sensors in the Home -- Using a Live-In Laboratory for Ubiquitous Computing Research -- The Diet-Aware Dining Table: Observing Dietary Behaviors over a Tabletop Surface -- Lessons for the Future: Experiences with the Installation and Use of Today’s Domestic Sensors and Technologies.Information Systems and Applications, incl. Internet/Web, and HCI ;3968Computer engineeringComputer communication systemsSpecial purpose computersOperating systems (Computers)Application softwareInformation storage and retrievalComputer Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/I27000Computer Communication Networkshttps://scigraph.springernature.com/ontologies/product-market-codes/I13022Special Purpose and Application-Based Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/I13030Operating Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/I14045Information Systems Applications (incl. Internet)https://scigraph.springernature.com/ontologies/product-market-codes/I18040Information Storage and Retrievalhttps://scigraph.springernature.com/ontologies/product-market-codes/I18032Computer engineering.Computer communication systems.Special purpose computers.Operating systems (Computers).Application software.Information storage and retrieval.Computer Engineering.Computer Communication Networks.Special Purpose and Application-Based Systems.Operating Systems.Information Systems Applications (incl. Internet).Information Storage and Retrieval.004Fishkin Kenneth Pedthttp://id.loc.gov/vocabulary/relators/edtSchiele Berntedthttp://id.loc.gov/vocabulary/relators/edtNixon Paddyedthttp://id.loc.gov/vocabulary/relators/edtQuigley Aaronedthttp://id.loc.gov/vocabulary/relators/edtBOOK996465930303316Pervasive Computing771987UNISA