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010   $a1-282-44307-0
010   $a9786612443077
010   $a981-4277-28-2
035   $a(CKB)2550000000001395
035   $a(EBL)477125
035   $a(OCoLC)613343373
035   $a(SSID)ssj0000359054
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035   $a(PQKBTitleCode)TC0000359054
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100   $a20090227d2009      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aDual sets of envelopes and characteristic regions of quasi-polynomials$b[electronic resource] /$fSui Sun Cheng, Yi-Zhong Lin
210   $aHackensack, NJ $cWorld Scientific$dc2009
215   $a1 online resource (236 p.)
300   $aDescription based upon print version of record.
311   $a981-4277-27-4 
320   $aIncludes bibliographical references and index.
327   $aPreface; 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
330   $aExistence 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
606   $aFunctions, Special
606   $aPolynomials
608   $aElectronic books.
615  0$aFunctions, Special.
615  0$aPolynomials.
676   $a515.3
700   $aCheng$b S. S$g(Sui Sun)$0903077
701   $aLin$b Yizhong$f1955-$0903078
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910456466003321
996   $aDual sets of envelopes and characteristic regions of quasi-polynomials$92018838
997   $aUNINA