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標題: Titlebook: Real Algebraic Geometry; Jacek Bochnak,Michel Coste,Marie-Fran?oise Roy Book 1998 Springer-Verlag Berlin Heidelberg 1998 Nash functions.Na [打印本頁]

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書目名稱Real Algebraic Geometry影響因子(影響力)




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作者: Delirium    時間: 2025-3-21 23:13
Jacek Bochnak,Michel Coste,Marie-Fran?oise Roy metal pollutants in the environment; to identify suitable methodology for chemical analyses in the environment and in humans; to evaluate the existing methods for measuring mental impairment, including their reliability and validity; to recommend a standard testing protocol to be used in future res
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Jacek Bochnak,Michel Coste,Marie-Fran?oise Roy metal pollutants in the environment; to identify suitable methodology for chemical analyses in the environment and in humans; to evaluate the existing methods for measuring mental impairment, including their reliability and validity; to recommend a standard testing protocol to be used in future res
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Jacek Bochnak,Michel Coste,Marie-Fran?oise Roy metal pollutants in the environment; to identify suitable methodology for chemical analyses in the environment and in humans; to evaluate the existing methods for measuring mental impairment, including their reliability and validity; to recommend a standard testing protocol to be used in future res
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Jacek Bochnak,Michel Coste,Marie-Fran?oise Royconvince developing countries of the wisdom of such policies, there is surprise when poor countries are not enthusiastic about such plans. Climate change will remain problematic as long as it is framed as an economic problem—with gainers and losers. In this chapter, we offer an alternative way to fr
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Jacek Bochnak,Michel Coste,Marie-Fran?oise RoyCatch (TAC). The bid would represent a royalty payment to national governments for the opportunity to catch fish and sell them in the market. In this way, the free gifting into perpetuity of ITQs would be converted into a renewable fishing permit generating royalty payments to the owners of the natu
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ver other pressing social needs, and water chemists invariably wish for certain chemical properties to be “just right.” Our position is that searching for . among a large and informed community will lead to acceptable solutions that, in the fullness of time, will be considered to be ideal.
作者: 招待    時間: 2025-3-23 20:52
Jacek Bochnak,Michel Coste,Marie-Fran?oise Royes in the environment and in humans; to evaluate the existing methods for measuring mental impairment, including their reliability and validity; to recommend a standard testing protocol to be used in future res978-94-007-0255-4978-94-007-0253-0Series ISSN 1874-6519 Series E-ISSN 1874-6543
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作者: Calculus    時間: 2025-3-24 13:40
Jacek Bochnak,Michel Coste,Marie-Fran?oise Royes in the environment and in humans; to evaluate the existing methods for measuring mental impairment, including their reliability and validity; to recommend a standard testing protocol to be used in future res978-94-007-0255-4978-94-007-0253-0Series ISSN 1874-6519 Series E-ISSN 1874-6543
作者: 憤怒事實    時間: 2025-3-24 16:40

作者: Felicitous    時間: 2025-3-24 21:08
Semi-algebraic Sets,ma. All this is the subject of the first five sections of this chapter. In Section 6, we study continuous semi-algebraic functions and we show ?ojasiewicz’s inequality. Section 7 deals with the separation of disjoint closed semi-algebraic sets. Section 8 introduces the notion of dimension for a semi
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Real Spectrum,ebraic properties of the real spectrum of the ring of polynomial functions on .. In Section 3, we define the value of a semi-algebraic function at a point of the real spectrum; we also show that the continuous semi-algebraic functions are the sections of a sheaf on the real spectrum. Section 4 deals
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作者: Vital-Signs    時間: 2025-3-26 01:59
Polynomial or Regular Mappings with Values in Spheres,rnionic projective lines. The theory of algebraic vector bundles developed in the previous chapter plays a crucial role. For example, from the fact that every topological (?, ? or ?) line bundle over .. is isomorphic to an algebraic one, we deduce that ?(....) is dense in ....... for . = 1,2,4. In S
作者: 煩人    時間: 2025-3-26 07:47
Introduction,ry is the study of real algebraic sets i.e. subsets of .. defined by polynomial equations. By means of a simple example one can see some features which point up the difference between real and complex algebraic geometry. Let us consider the intersection of the straight line . = ., depending on the p
作者: 有偏見    時間: 2025-3-26 11:15
Semi-algebraic Sets,d inequalities. This class of sets has a remarkable property: stability under projection. Several applications of this basic property are investigated. The study of semi-algebraic sets is based mainly on the ?slicing? technique, which makes it possible to decompose them into a finite number of subse
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Real Algebraic Varieties,ic varieties. In fact, we shall be concerned almost exclusively with affine real algebraic varieties, i.e. real algebraic sets ?up to a biregular isomorphism∝ The third section concerns the notion of nonsingularity. In addition to recalling some properties of varieties valid over an arbitrary field
作者: 外向者    時間: 2025-3-26 18:51
Real Algebra,tellensatz, which characterizes the ideals of polynomials vanishing on an algebraic set, when the ground field is real closed. The next two sections develop an ?Artin-Schreier theory? for rings, which is an extension of the theory presented in Chap. 1 for fields. The notion of a prime cone of a ring
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The Tarski-Seidenberg Principle as a Transfer Tool,ing .. We then explore further the Tarski-Seidenberg principle. It has already been used in two different ways: to prove that the projection of a semi-algebraic set is semi-algebraic (in Chap. 2), and to obtain the Artin-Lang homomorphism theorem (in Chap. 4). Here we study some additional applicati
作者: Nonconformist    時間: 2025-3-27 01:53
,Hilbert’s 17th Problem. Quadratic Forms in Real Algebraic Geometry,mial over a real closed field is a sum of squares of rational functions. We also prove a few generalizations. The second section deals with the equivariant version of Hilbert’s 17. problem. In the third section, we address the problem of representing nonnegative polynomials as sum of squares of poly
作者: 無能性    時間: 2025-3-27 06:34
Real Spectrum,us defined is the real spectrum of the ring. In the first section, we give some general properties of the real spectrum of a ring. Some of these properties are analogous to the properties of the Zariski spectrum (compactness, for instance), while others are more specific (for instance, the fact that
作者: 消滅    時間: 2025-3-27 11:00
Nash Functions,ebraic over the polynomials, and (for . = ?) the ring of germs of analytic algebraic functions. Prom the study of the ring of algebraic power series in the second section, we deduce the local properties of Nash functions. In the third section, we state a theorem of approximation of formal solutions
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Stratifications,l structure with respect to all successive projections .. → .., which is particularly useful in inductive arguments. In the second section, we prove that a closed and bounded semi-algebraic set can be semi-algebraically triangulated. In Section 3, we investigate the structure of continuous semi-alge
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Topology of Real Algebraic Varieties,s the fact that, for every semi-algebraic triangulation of a bounded algebraic set of dimension . and every (. - 1)-simplex . of such a triangulation, the number of .-simplices of the triangulation having . as a face is even. In the second section, we use this property and an appropriate stratificat
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作者: 有限    時間: 2025-3-28 09:08
Polynomial or Regular Mappings with Values in Spheres, The results concerning this comparison are very diverse. Section 1 deals with the existence of nonconstant polynomial mappings from .. into .., using mainly the theory of quadratic forms. We prove Wood’s theorem, which states that if . is a power of 2 and . > n, then every polynomial mapping .. → .
作者: pulmonary    時間: 2025-3-28 13:10
Witt Rings in Real Algebraic Geometry,ver a real closed field ., we show that the Witt ring .(..(.)) coincides with ..(..(.)) (? .(.) if . = ?). The second section is devoted to the result of Mahé concerning the separation of the semi-algebraically connected components of . by the signatures of elements of .(.(.)). In the third section
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Stratifications,nches of algebraic curves are studied in Section 5. Semi-algebraic versions of Sard’s and Bertini’s theorems are contained in Section 6. The last section is devoted to Whitney’s conditions . and ...Throughout this chapter, R denotes a real closed field.
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Real Places,lgebraic curves can be considered as points of the real spectrum. We finish the chapter with a glimpse of the theory of fans, presenting a few applications to the study of basic semi-algebraic sets..Throughout this chapter, R is a fixed real closed field.
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Witt Rings in Real Algebraic Geometry,we prove that the morphism .(.(.))[1/2] .(..(.))[1/2], induced by the inclusion .(.) ..(.), is surjective. This is part of the result of Brumfiel, which asserts that this morphism is actually an isomorphism.
作者: 免除責任    時間: 2025-3-30 03:11
0071-1136 nto material already in the French edition. Many of these advances and insights have been incorporated in this English version of the book, so that it may be viewed as being substantially different from the original.978-3-642-08429-4978-3-662-03718-8Series ISSN 0071-1136 Series E-ISSN 2197-5655
作者: 健談的人    時間: 2025-3-30 06:21
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematihttp://image.papertrans.cn/r/image/822116.jpg
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978-3-642-08429-4Springer-Verlag Berlin Heidelberg 1998
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Ordered Fields, Real Closed Fields,The first three sections of this chapter briefly review Artin-Schreier theory: ordered fields, real fields, real closed fields and the real closure of an ordered field. The fourth section is devoted to the Tarski-Seidenberg principle, which is an essential tool for real algebraic geometry.
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Jacek Bochnak,Michel Coste,Marie-Fran?oise RoyA systematic treatment of real algebraic geometry.Carefully and clearly written – may serve as a basis for a graduate course.Many of the new developments are included in this edition
作者: 吞下    時間: 2025-3-31 11:29
Book 1998pub-lication in 1987 the theory has made advances in several directions. There have also been new insights into material already in the French edition. Many of these advances and insights have been incorporated in this English version of the book, so that it may be viewed as being substantially different from the original.
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