05364nam 2200673Ia 450 991102017210332120200520144314.09786613306210978128330621812833062129781118032794111803279997811180310491118031040(CKB)2550000000055758(EBL)694832(OCoLC)768204518(SSID)ssj0000555102(PQKBManifestationID)11377666(PQKBTitleCode)TC0000555102(PQKBWorkID)10517279(PQKB)10523803(MiAaPQ)EBC694832(Perlego)2771151(EXLCZ)99255000000005575819980410d1999 uy 0engur|n|---|||||txtccrMaxima and minima with applications practical optimization and duality /Wilfred KaplanNew York Wileyc19991 online resource (298 p.)Wiley-Interscience series in discrete mathematics and optimization"A Wiley-Interscience publication."9780471252894 0471252891 Includes bibliographical references and index.Maxima and Minima with Applications: Practical Optimization and Duality; Contents; Preface; 1 Maxima and Minima in Analytic Geometry; 1.1 Maxima and Minima; Case of Functions of One Variable; Problems 1.1-1.5; 1.2 Convexity; 1.3 Convexity and Maxima and Minima; Problems 1.6-1.16; 1.4 Problems in Two Dimensions; Problems 1.17-1.27; 1.5 Some Geometric Extremum Problems; Problems 1.28-1.36; 1.6 Geometry of n-Dimensional Space; 1.7 Convex Functions of n Variables; 1.8 Quadratic Forms; Problems 1.37-1.55; 1.9 Convexity and Extrema, Level Sets and Sublevel Sets; Problems 1.56-1.63; 1.10 Stability1.11 Global Asymptotic Stability, Application to Finding MinimizerProblems 1.64-1.73; 1.12 Extrema of Functions on Unbounded Closed Sets; 1.13 Shortest Distance from a Linear Variety; Problems 1.74-1.84; 1.14 Other Inner Products and Norms in Rn; 1.15 More on Minimum Problems for Quadratic Functions; Problems 1.85-1.93; 1.16 Physical Applications; Problems 1.94-1.96; 1.17 Best Approximation by Polynomials; Problems 1.97-1.105; References; 2 Side Conditions; 2.1 Review of Vector Calculus; Problems 2.1-2.13; 2.2 Local Maxima and Minima, Side Conditions; Problems 2.14-2.212.3 Second-Derivative TestProblems 2.22-2.26; 2.4 Gradient Method for Finding Critical Points; Problems 2.27-2.28; 2.5 Applications; Problems 2.29-2.33; 2.6 Karush-Kuhn-Tucker Conditions; Problems 2.34-2.37; 2.7 Sufficient Conditions for the Mathematical Programming Problem; 2.8 Proof of the Karush-Kuhn-Tucker Conditions; Problems 2.38-2.49; References; 3 Optimization; 3.1 Convexity; Problems 3.1-3.17; 3.2 Mathematical Programming, Duality; 3.3 Unconstrained Quadratic Optimization; Problems 3.18-3.28; 3.4 Constrained Quadratic Optimization in Rn3.5 QP with Inequality Constraints, QP AlgorithmProblems 3.29-3.38; 3.6 Linear Programming; 3.7 Simplex Algorithm; Problems 3.39-3.55; 3.8 LP with Bounded Variables; Problems 3.56-3.62; 3.9 Convex Functions and Convex Programming; Problems 3.63-3.68; 3.10 The Fermat-Weber Problem and a Dual Problem; Problems 3.69-3.76; 3.11 A Duality Relation in Higher Dimensions; Problems 3.77-3.84; References; 4 Fenchel-Rockafellar Duality Theory; 4.1 Generalized Directional Derivative; Problems 4.1-4.5; 4.2 Local Structure of the Boundary of a Convex Set; Problems 4.6-4.84.3 Supporting Hyperplane, Separating HyperplaneProblems 4.9-4.15; 4.4 New Definition of Convex Function, Epigraph, Hypograph; Problems 4.16-4.17; 4.5 Conjugate of Convex and Concave Functions; Problems 4.18-4.24; 4.6 Fenchel Duality Theorem; Problems 4.25-4.32; 4.7 Rockafellar Duality Theorem; 4.8 Proof of Lemma C; Problems 4.33-4.45; 4.9 Norms, Dual Norms, Minkowski Norms; Problems 4.46-4.61; 4.10 Generalized Fermat-Weber Problem; 4.11 Application to Facility Location; Problems 4.62-4.74; References; Appendix: Linear Algebra; Answers to Selected Problems; IndexThis new work by Wilfred Kaplan, the distinguished author of influential mathematics and engineering texts, is destined to become a classic. Timely, concise, and content-driven, it provides an intermediate-level treatment of maxima, minima, and optimization. Assuming only a background in calculus and some linear algebra, Professor Kaplan presents topics in order of difficulty. In four short chapters, he describes basic concepts and geometric aspects of maxima and minima, progresses to problems with side conditions, introduces optimization and programming, and concludes with an in-depth discussWiley-Interscience series in discrete mathematics and optimization.Maxima and minimaMathematical optimizationMaxima and minima.Mathematical optimization.511/.66Kaplan Wilfred1915-26105MiAaPQMiAaPQMiAaPQBOOK9911020172103321Maxima and minima with applications4418600UNINA04357nam 22004935 450 991039273680332120251113195335.03-030-40842-610.1007/978-3-030-40842-8(CKB)4100000011040303(DE-He213)978-3-030-40842-8(MiAaPQ)EBC6177159(PPN)243761783(MiAaPQ)EBC6177227(EXLCZ)99410000001104030320200414d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSleep Disorders in Women A Guide to Practical Management /edited by Hrayr Attarian, Mari Viola-Saltzman3rd ed. 2020.Cham :Springer International Publishing :Imprint: Humana,2020.1 online resource (XVIII, 388 p. 15 illus., 7 illus. in color.) Current Clinical Neurology,2524-40433-030-40841-8 Section 1 Overview -- 1. Introduction -- 2. Epidemiology of Sleep Disorders in Women -- 3. Life Cycle Impact on Sleep in Women -- 4. Normal Reproductive and Endocrine Life Stages: The Impact on Sleep Disorders -- Section 2 Sex and Gender Differences in Sleep -- 5. Sex Differences in Sleep -- 6. Sex Differences in Sleep Disorders -- 7. Sleep and Its Disorders Among Sexual and Gender Minority Populations -- Section 3 Pediatric and Adolescent Sleep -- 8. Defining, Assessing, and Treating Adolescent Insomnia and Related Sleep Problems Including Circadian Rhythm Disorders -- 9. Pediatric Obstructive Sleep Apnea and Pediatric Hypersomnia -- 10. Gender Differences in Pediatric Parasomnias -- Section 4 Sleep in Adult Women of Childbearing Age -- 11. Insomnia: Evaluation and Therapeutic Modalities -- 12. The Impact of Shift Work and Circadian Dysregulation on Women’s Health -- 13. Polycystic Ovary Syndrome and Obstructive Sleep Apnea -- 14. Women in Childbearing Years: Sleep Disordered Breathing -- 15. Central Hypersomnias in Adult Women of Childbearing Age -- 16. Non-Rapid Eye Movement Parasomnias and Restless Leg Syndrome in Women -- Section 5 Sleep during Pregnancy -- 17. Insomnia During Pregnancy -- 18. Sleep Disordered Breathing and Pregnancy -- 19. Management of Hypersomnia in Pregnancy -- 20. Gestational Restless Legs Syndrome -- Section 6 Sleep during Menopause -- 21. Insomnia During Menopause -- 22. Sleep Disordered Breathing in the Peri-menopausal and Menopausal Woman -- 23. Restless Legs Syndrome and Menopause -- 24. REM Sleep Behavior Disorder and Other REM Parasomnias in Women -- 25. Sleep Disorders in Breast Cancer.This book provides a thorough, multidisciplinary review of the latest research and clinical approaches in the field of sleep disorders. It illustrates the variance of complications, symptoms, and issues sleep disorders cause during different stages of a woman’s life. This updated, comprehensive edition begins with an overview of sleep disorders in women, followed by a section dedicated to examining sleep disorders in women during adolescence. Subsequent chapters then focus on treating pregnant women with sleep disorders, which include conditions such as restless legs syndrome, that arise during the gestational period as well as those like narcolepsy, whose management offers unique challenges during pregnancy and lactation. The book concludes with information on the specific issues caused by sleep disorders faced by women during and after menopause. Sleep Disorders in Women, 3rd Edition serves as an important addition to the literature and is an invaluable resource for neurologists, sleep medicine specialists, OB/GYNs, internal medicine physicians, family practitioners, psychiatrists, nurse practitioners, and physician assistants.Current Clinical Neurology,2524-4043NeurologyNeurologyNeurology.Neurology.616.8498Attarian Hrayredthttp://id.loc.gov/vocabulary/relators/edtViola-Saltzman Mariedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910392736803321Sleep Disorders in Women1992499UNINA