Dual sets of envelopes and characteristic regions of quasi-polynomials [[electronic resource] /] / Sui Sun Cheng, Yi-Zhong Lin

• Autore: Cheng S. S (Sui Sun)
• Pubblicazione: Hackensack, NJ, : World Scientific, c2009
• Descrizione fisica: 1 online resource (236 p.)
• Disciplina: 515.3
• Soggetto topico: Functions, Special; Polynomials
• Altri autori: LinYizhong <1955->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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; Index
• Sommario/riassunto: Existence 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 s
• Titolo autorizzato: Dual sets of envelopes and characteristic regions of quasi-polynomials
• ISBN: 1-282-44307-0; 9786612443077; 981-4277-28-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910781094603321
• Lo trovi qui: Univ. Federico II