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[null,"1.","Record Nr.",null,"UNINA9911031633703321"]
[null,null,"Autore",null,"Elsner Carsten"]
[null,null,"Titolo",null,"Continued Fractions : A Modern and Classical Journey into the World of Siegel's Continued Fractions / / by Carsten Elsner, Christopher Robin Havens"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025"]
[null,null,"ISBN",null,"3-031-99546-5"]
[null,null,"Edizione",null,"[1st ed. 2025.]"]
[null,null,"Descrizione fisica",null,"1 online resource (562 pages)"]
[null,null,"Collana",null,"Mathematics and Statistics Series"]
[null,null,"Disciplina",null,"512.7"]
[null,null,"Soggetti",null,"Number theory"]
[{"$nulls":4},"Number Theory"]
[{"$nulls":4},"Computational Number Theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"I. A classical introduction to continued fractions and quadratic convergents -- II. The Zopf constant [1,2,3,...] and its relatives -- III. Matrices and transducers: The computational theory of continued fractions -- IV. The theory of conversions from irregular to regular Hurwitz continued fractions -- V. On a refinement of the irrationality measure -- VI. Appendix."]
[null,null,null,"Sommario/riassunto","This monograph originates from a study of the continued fraction [1, 2, 3, ...], which we call the Zopf number. Its origins date back to 1929 when Siegel introduced it as a ratio of Bessel functions. Continued fractions is most often styled classically, and much of the content is formulated through Diophantine analysis. However, in this book aspects of the theory of computation can be used interchangeably through matrices and transducers. We give an introduction to the computational theory of continued fractions, viewed through the lens of matrices and transducers. Then we move to quadratic convergents in terms of the classical rational convergents, which is one of the main topics of the book. With this at hand, the Zopf number and it's quadratic convergents are explored through Diophantine analysis. This is followed by the generalized Zopf numbers which can be written compactly in terms of irregular continued fractions, for which many can be shown to have representations by Hurwitz continued fractions. For these Hurwitzian Zopf numbers, we provide an algorithm for converting from irregular to regular continued fractions by using a special type of "]
[{"$nulls":4},"\"interrupted\" LR-sequences. Finally, applications to these Hurwitzian Zopf numbers are given, including a refinement of the irrationality measure by iterated logarithms. Written in an accessible style, the material will be of interest to students and researchers in number theory and approximation theory."]
[null,"2.","Record Nr.",null,"UNINA9910954516903321"]
[null,null,"Autore",null,"Rejda George E. <1931-, >"]
[null,null,"Titolo",null,"Social insurance and economic security / / George E. Rejda"]
[null,null,"Pubbl/distr/stampa",null,"London ; ; New York : , : Routledge, , 2015"]
[null,null,"ISBN",null,"1-315-70073-5"]
[{"$nulls":4},"1-317-45974-1"]
[{"$nulls":4},"1-317-45973-3"]
[null,null,"Edizione",null,"[Seventh edition.]"]
[null,null,"Descrizione fisica",null,"1 online resource (438 p.)"]
[null,null,"Disciplina",null,"368.4/300973"]
[{"$nulls":4},"368.4300973"]
[null,null,"Soggetti",null,"Social security - United States"]
[{"$nulls":4},"Economic security - United States"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"First published 2012 by M.E. Sharpe\"--t.p. verso."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references at the end of each chapters and index."]
[null,null,"Nota di contenuto",null,"Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; 1 Economic Security and Insecurity; Nature of Economic Security; Nature of Economic Insecurity; Causes of Economic Insecurity; Concept of Social Security; Meaning of Social Insurance; Reducing Economic Insecurity; 2 Basic Principles of Social Insurance; Basic Principles and Characteristics of the OASDI Program; Is the OASDI Program Insurance?; Welfare Component; Social Insurance Compared with Private Insurance; Social Insurance Compared With Public Assistance; Economic Objectives of Social Insurance Programs"]
[{"$nulls":4},"3 Problem of Premature DeathDefinition of Premature Death; Economic Impact of Premature Death on the Family; Reducing Economic Insecurity from Premature Death; 4 Reducing Economic Insecurity from Premature Death; Nature of the Old-Age Problem; Employment Problems of Older Workers; Reducing Economic Insecurity During Retirement; 5 Old-Age, Survivors, and Disability Insurance; Development of the Social Security Act; Covered Occupations; Determination of Insured Status; Benefit Amounts; Types of Benefits; Loss or Reduction of Benefits; Taxation of Social Security Benefits"]
[{"$nulls":4},"Financing the Social Security ProgramAdministration; 6 Problems and Issues in the Social Security Program; Higher Full Retirement Age; Adequacy of Benefits; Disability Income Problems and Issues; Public Confidence in the Social Security Program; Getting Your Money's Worth; "]
[{"$nulls":4},"Reducing Social Security Payroll Taxes to Stimulate the Economy; 7 Financing the Social Security Program; Methods of Financing; No Full Funding; Actuarially Sound Program; Social Security Trust Funds; Financial Condition of Social Security and Medicare; Solutions to the Long-Range Deficit"]
[{"$nulls":4},"8 Problem of Poor Health and Health-Care ReformHealth-Care Problems in the United States; Rising Health-Care Expenditures; Large Number of Uninsured in the Population; Uneven Quality of Medical Care; Waste and Inefficiency; Defects in Financing Health Care; Abusive Insurer Practices; Earlier Health-Care Reform Efforts; Basic Provisions of the Affordable Care Act; 9 Health-Care Reform and Private Health Insurance; Impact of Health-Care Reform on Individual and Group Coverage; Individual Health Insurance Coverages; Disability Insurance; Long-Term Care Insurance; Group Health Insurance Coverage"]
[{"$nulls":4},"Traditional Indemnity PlansManaged Care Plans; Consumer-Directed Health Plans; Continuation of Health Insurance for Terminated Employees; Recent Developments in Group Medical Expense Plans; Group Disability Income Insurance; 10 Health-Care Reform and the Medicare Program; Overview of Medicare; The Original Medicare Plan; Medicare Advantage Plans; Other Medicare Health Plans; Medicare Prescription Drug Coverage; Extra Help Program; Medigap Insurance; Care Outside the United States; Medicare Savings Programs; Medicare Problems and Issues; Impact of the Affordable Care Act on Medicare"]
[{"$nulls":4},"11 Problem of Occupational Injury and Disease"]
[null,null,null,"Sommario/riassunto","This classic social insurance work has been updated to cover a decade of policy developments and the impact of the recent economic crisis.The book includes in-depth discussion of all major programs to reduce economic insecurity in the United States, including Social Security, Medicare, workers' compensation, unemployment compensation, and temporary disability insurance. The principles, characteristics, and policy issues associated with social insurance and public assistance programs are discussed in detail. The book examines each major cause of economic insecurity and analyzes the appropriate"]