05451nam 2200697 450 991014163620332120170816124210.01-118-62243-X1-118-62239-11-118-62232-4(CKB)2670000000341655(EBL)1153588(OCoLC)831118392(SSID)ssj0000856477(PQKBManifestationID)11469837(PQKBTitleCode)TC0000856477(PQKBWorkID)10806386(PQKB)10229318(MiAaPQ)EBC1153588(PPN)221559191(EXLCZ)99267000000034165520160411h20102010 uy 0engur|n|---|||||txtccrModeling and convexity /Eduardo Souza de Cursi, Rubens SampaioLondon, England ;Hoboken, New Jersey :ISTE :Wiley,2010.©20101 online resource (517 p.)ISTEDescription based upon print version of record.1-84821-177-5 Includes bibliographical references and index.Cover; Title Page; Copyright Page; Table of Contents; Introduction; PART 1. MOTIVATION: EXAMPLES AND APPLICATIONS; Chapter 1. Curvilinear Continuous Media; 1.1. One-dimensional curvilinear media; 1.1.1. Ideally flexible string; 1.1.1.1. The essential difficulty; 1.1.1.2. Unilateral contact; 1.1.2. The ""elastica"" problem: buckling of an inextensible beam; 1.2. Supple membranes; 1.2.1. Curvilinear coordinates and charts; 1.2.2. Metric tensor; 1.2.3. Internal efforts and constitutive law; 1.2.4. Exterior efforts; 1.2.5. Infinitesimal deformations; 1.2.6. Principle of minimum energyChapter 2. Unilateral System Dynamics2.1. Dynamics of ideally flexible strings; 2.1.1. Propagation of discontinuities; 2.1.2. Evolution; 2.1.3. Vibrations; 2.1.3.1. Harmonic response; 2.1.3.2. Small oscillations; 2.2. Contact dynamics; 2.2.1. Evolution of a material point; 2.2.2. Evolution of deformable and non-deformable solids; 2.2.3. Granular modeling of the movement of a crowd; Chapter 3. A Simplified Model of Fusion/Solidification; 3.1. A simplified model of phase transition; Chapter 4. Minimization of a Non-Convex Function; 4.1. Probabilities, convexity and global optimizationChapter 5. Simple Models of Plasticity5.1. Ideal elastoplasticity; PART 2. THEORETICAL ELEMENTS; Chapter 6. Elements of Set Theory; 6.1. Elementary notions and operations on sets; 6.2. The axiom of choice; 6.3. Zorn's lemma; Chapter 7. Real Hilbert Spaces; 7.1. Scalar product and norm; 7.2. Bases and dimensions; 7.3. Open sets and closed sets; 7.4. Sequences; 7.4.1. Dense sequences and dense sets; 7.5. Linear functionals; 7.5.1. Sequences and continuity; 7.6. Complete space; 7.6.1. The Cauchy sequence; 7.6.2. Completion of a space; 7.6.3. Baire's theorem: a property of complete spaces7.7. Orthogonal projection onto a vector subspace7.8. Riesz's representation theory; 7.9. Weak topology; 7.10. Separable spaces: Hilbert bases and series; Chapter 8. Convex Sets; 8.1. Hyperplanes; 8.2. Convex sets; 8.3. Convex hulls; 8.4. Orthogonal projection on a convex set; 8.5. Separation theorems; 8.6. Convex cone; Chapter 9. Functionals on a Hilbert Space; 9.1. Basic notions; 9.2. Convex functionals; 9.3. Semi-continuous functionals; 9.4. Affine functionals; 9.5. Convexification and LSC regularization; 9.6. Conjugate functionals; 9.7. Subdifferentiability; Chapter 10. Optimization10.1. The optimization problem10.2. Basic notions; 10.2.1. Minimizing sequences; 10.2.2. Indicator function; 10.2.3. Coerciveness; 10.3. Fundamental results; 10.3.1. Approximation; 10.3.1.1. Exterior penalty approximation; 10.3.1.2. Interior penalty approximation; 10.3.1.3. Approximation by regularization; 10.3.1.4. Duality approximation; Chapter 11. Variational Problems; 11.1. Fundamental notions; 11.1.1.Proximal elements; 11.1.2. Operators and monotony; 11.1.2.1. Monotony; 11.1.2.2. Semi-continuous operators and hemi-continuous operators; 11.1.2.3. Maximal monotone operators11.1.2.4.Brower's fixed point theoremThis reference book gives the reader a complete but comprehensive presentation of the foundations of convex analysis and presents applications to significant situations in engineering. The presentation of the theory is self-contained and the proof of all the essential results is given. The examples consider meaningful situations such as the modeling of curvilinear structures, the motion of a mass of people or the solidification of a material. Non convex situations are considered by means of relaxation methods and the connections between probability and convexity are explored and exploited in oISTEEngineering mathematicsMachineryMathematical modelsConvex setsEngineering mathematics.MachineryMathematical models.Convex sets.620.001/51620.00151620.00151976Cursi Eduardo Souza de908276Sampaio RubensMiAaPQMiAaPQMiAaPQBOOK9910141636203321Modeling and convexity2064487UNINA03904nam 22006852 450 991078300490332120151005020622.01-107-11875-11-280-15459-497866101545930-511-11819-80-511-04069-50-511-15784-30-511-30471-40-511-54427-80-511-04911-0(CKB)1000000000006491(EBL)201966(OCoLC)475916345(SSID)ssj0000229882(PQKBManifestationID)11203527(PQKBTitleCode)TC0000229882(PQKBWorkID)10178071(PQKB)11404382(UkCbUP)CR9780511544279(Au-PeEL)EBL201966(CaPaEBR)ebr10030927(CaONFJC)MIL15459(MiAaPQ)EBC201966(PPN)261332538(EXLCZ)99100000000000649120090506d2002|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierPsychiatric and cognitive disorders in Parkinson's disease /Sergio E. Starkstein, Marcelo J. Merello[electronic resource]Cambridge :Cambridge University Press,2002.1 online resource (x, 229 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-66398-9 0-521-66305-9 Includes bibliographical references (p. 179-224) and index.Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Introduction; 2 Epidemiologic, clinical, and therapeutic aspects of Parkinson s disease; 3 Parkinsonism and Parkinson s disease; 4 Cognitive deficits in Parkinson s disease; 5 Depression in Parkinson s disease; 6 Anxiety, phobias, apathy, and premorbid personality in Parkinson s disease; 7 Neuropsychologic and psychiatric side-effects of antiparkinsonian medication; 8 Treatment of psychiatric disorders in Parkinson s disease; Appendix: scales for clinical assessment; References; IndexEmotional and cognitive disorders are common in Parkinson's disease, but are frequently overlooked or undertreated. This book provides a comprehensive account of these aspects of Parkinson's disease, based on the neurological and psychiatric assessment of hundreds of patients by the authors. It also offers a thorough survey of the published literature on the topic. Readers will find a complete and helpful overview of the clinical features and treatment of Parkinson's disease, followed by discussion of associated depressive disorders, anxiety, phobias, apathy, hallucinations, delusions and sleep disorders. Specific cognitive deficits are also discussed, and the mechanisms for these disorders explored. The book also addresses the psychiatric and cognitive side effects of anti-parkinsonian medications and surgical treatments. Offering sufficient scientific detail for the specialist in neurology and psychiatry, the clear practical guidelines, case studies and rating scales will meet the needs of all clinicians working with Parkinson's disease patients.Psychiatric & Cognitive Disorders in Parkinson's DiseaseParkinson's diseasePsychological aspectsPsychological manifestations of general diseasesParkinson's diseasePsychological aspects.Psychological manifestations of general diseases.616.8/33/0019Starkstein Sergio E.1498363Merello Marcelo J.1961-UkCbUPUkCbUPBOOK9910783004903321Psychiatric and cognitive disorders in Parkinson's disease3723882UNINA