|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910456466003321 |
|
|
Autore |
Cheng S. S (Sui Sun) |
|
|
Titolo |
Dual sets of envelopes and characteristic regions of quasi-polynomials [[electronic resource] /] / Sui Sun Cheng, Yi-Zhong Lin |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Hackensack, NJ, : World Scientific, c2009 |
|
|
|
|
|
|
|
ISBN |
|
1-282-44307-0 |
9786612443077 |
981-4277-28-2 |
|
|
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (236 p.) |
|
|
|
|
|
|
Altri autori (Persone) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Functions, Special |
Polynomials |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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 |
|
|
|
|
|
|
|