02746nam 2200601Ia 450 991045646600332120200520144314.01-282-44307-09786612443077981-4277-28-2(CKB)2550000000001395(EBL)477125(OCoLC)613343373(SSID)ssj0000359054(PQKBManifestationID)11278148(PQKBTitleCode)TC0000359054(PQKBWorkID)10378921(PQKB)11553916(MiAaPQ)EBC477125(WSP)00000491 (Au-PeEL)EBL477125(CaPaEBR)ebr10361770(CaONFJC)MIL244307(EXLCZ)99255000000000139520090227d2009 uy 0engur|n|---|||||txtccrDual sets of envelopes and characteristic regions of quasi-polynomials[electronic resource] /Sui Sun Cheng, Yi-Zhong LinHackensack, NJ World Scientificc20091 online resource (236 p.)Description based upon print version of record.981-4277-27-4 Includes bibliographical references and index.Preface; Contents; 1. Prologue; 2. Envelopes and Dual Sets; 3. Dual Sets of Convex-Concave Functions; 4. Quasi-Polynomials; 5. C\(0, )-Characteristic Regions of Real Polynomials; 6. C\(0,1)-Characteristic Regions of Real -Polynomials; 7. C\R-Characteristic Regions of r-Polynomials; Appendix A Intersections of Dual Sets of Order 0; Bibliography; IndexExistence and nonexistence of roots of functions involving one or more parameters has been the subject of numerous investigations. For a wide class of functions called quasi-polynomials, the above problems can be transformed into the existence and nonexistence of tangents of the envelope curves associated with the functions under investigation. In this book, we present a formal theory of the Cheng-Lin envelope method, which is completely new, yet simple and precise. This method is both simple - since only basic Calculus concepts are needed for understanding - and precise, since necessary and sFunctions, SpecialPolynomialsElectronic books.Functions, Special.Polynomials.515.3Cheng S. S(Sui Sun)903077Lin Yizhong1955-903078MiAaPQMiAaPQMiAaPQBOOK9910456466003321Dual sets of envelopes and characteristic regions of quasi-polynomials2018838UNINA