標(biāo)題: Titlebook: Algorithms in Real Algebraic Geometry; Saugata Basu,Richard Pollack,Marie-Franco?ise Roy Textbook 20031st edition Springer-Verlag Berlin H [打印本頁(yè)] 作者: 調(diào)停 時(shí)間: 2025-3-21 18:21
書目名稱Algorithms in Real Algebraic Geometry影響因子(影響力)
書目名稱Algorithms in Real Algebraic Geometry影響因子(影響力)學(xué)科排名
書目名稱Algorithms in Real Algebraic Geometry網(wǎng)絡(luò)公開(kāi)度
書目名稱Algorithms in Real Algebraic Geometry網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書目名稱Algorithms in Real Algebraic Geometry被引頻次
書目名稱Algorithms in Real Algebraic Geometry被引頻次學(xué)科排名
書目名稱Algorithms in Real Algebraic Geometry年度引用
書目名稱Algorithms in Real Algebraic Geometry年度引用學(xué)科排名
書目名稱Algorithms in Real Algebraic Geometry讀者反饋
書目名稱Algorithms in Real Algebraic Geometry讀者反饋學(xué)科排名
作者: Invigorate 時(shí)間: 2025-3-21 21:26 作者: miracle 時(shí)間: 2025-3-22 00:41
1431-1550 cts, and researchers in computer science and engineering will find the required mathematical background...Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students..978-3-662-05355-3Series ISSN 1431-1550 作者: ANTIC 時(shí)間: 2025-3-22 07:57 作者: construct 時(shí)間: 2025-3-22 11:09 作者: laceration 時(shí)間: 2025-3-22 15:28
Algorithms in Real Algebraic Geometry978-3-662-05355-3Series ISSN 1431-1550 作者: Communal 時(shí)間: 2025-3-22 17:24 作者: 不透明性 時(shí)間: 2025-3-22 23:43 作者: 商議 時(shí)間: 2025-3-23 05:01 作者: flimsy 時(shí)間: 2025-3-23 05:50 作者: TRAWL 時(shí)間: 2025-3-23 09:44 作者: fabricate 時(shí)間: 2025-3-23 16:45 作者: NEX 時(shí)間: 2025-3-23 20:13 作者: GLEAN 時(shí)間: 2025-3-23 23:49 作者: 裙帶關(guān)系 時(shí)間: 2025-3-24 03:07 作者: Isometric 時(shí)間: 2025-3-24 09:59
Computing Roadmaps and Connected Components of Semi-algebraic Sets,s provided by cylindrical decomposition in Chapter 12 for the problem of deciding connectivity properties of semi-algebraic sets (single exponential in the number of variables rather than doubly exponential).作者: Soliloquy 時(shí)間: 2025-3-24 14:19
Therapieoptionen bei der Schmerzbehandlung,Since a real univariate polynomial does not always have real roots, a very natural algorithmic problem, is to design a method to count the number of real roots of a given polynomial (and thus decide whether it has any). The “real root counting problem” plays a key role in nearly all the “algorithms in real algebraic geometry” studied in this book.作者: 陶醉 時(shí)間: 2025-3-24 15:40 作者: Lucubrate 時(shí)間: 2025-3-24 22:21 作者: 引起痛苦 時(shí)間: 2025-3-25 00:56
Introduction,Since a real univariate polynomial does not always have real roots, a very natural algorithmic problem, is to design a method to count the number of real roots of a given polynomial (and thus decide whether it has any). The “real root counting problem” plays a key role in nearly all the “algorithms in real algebraic geometry” studied in this book.作者: Morphine 時(shí)間: 2025-3-25 06:04
Cylindrical Decomposition Algorithm,The cylindrical decomposition method described in Chapter 5 can be turned into algorithms for solving several important problems.作者: Aromatic 時(shí)間: 2025-3-25 10:49 作者: 雪上輕舟飛過(guò) 時(shí)間: 2025-3-25 13:02 作者: 小丑 時(shí)間: 2025-3-25 17:48
Algorithms and Computation in Mathematicshttp://image.papertrans.cn/a/image/153283.jpg作者: In-Situ 時(shí)間: 2025-3-25 20:35
https://doi.org/10.1007/978-3-322-98835-5remainder sequences and, for the case where the coefficients have parameters, the tree of possible pseudo-remainder sequences and the set of possible greatest common divisors. Several important applications of logical nature of the projection theorem are given.作者: 提名的名單 時(shí)間: 2025-3-26 00:54 作者: 猛擊 時(shí)間: 2025-3-26 06:05
Der entschlüsselte Wachstumscode and bounded semi-algebraic sets in Section 4, we introduce semi-algebraic germs in Section 3. The semi-algebraic germs over a real closed field constitute a real closed field containing infinitesimals, closely related to the field of Puiseux series, and play an important role throughout the whole b作者: Foment 時(shí)間: 2025-3-26 09:14 作者: 行乞 時(shí)間: 2025-3-26 14:19 作者: 混雜人 時(shí)間: 2025-3-26 17:37
Fritz Kr?ger,Michael Tr?m,James McGrathcrete objects (the homology groups) that are invariant under semi-algebraic homeomorphisms. In the first section, we develop a combinatorial theory for homology that applies only to simplicial complexes. In the second section, we show how to extend this theory to closed semi-algebraic sets using the作者: ARCHE 時(shí)間: 2025-3-26 23:39 作者: Endemic 時(shí)間: 2025-3-27 03:48 作者: Femish 時(shí)間: 2025-3-27 05:59 作者: Plaque 時(shí)間: 2025-3-27 10:47 作者: 范圍廣 時(shí)間: 2025-3-27 14:58 作者: 疲憊的老馬 時(shí)間: 2025-3-27 19:08 作者: padding 時(shí)間: 2025-3-27 23:50
Eine Ikonologie des Schulanfangs,ether two points belong to the same connected component. Done in a parametric way the roadmap algorithm also gives a description of the semi-algebraically connected components of an algebraic set. The complexities of the algorithms given in this chapter are much better than the one provided by cylin作者: 烤架 時(shí)間: 2025-3-28 04:00
https://doi.org/10.1007/978-3-531-91698-9s provided by cylindrical decomposition in Chapter 12 for the problem of deciding connectivity properties of semi-algebraic sets (single exponential in the number of variables rather than doubly exponential).作者: 假裝是我 時(shí)間: 2025-3-28 07:53
Algebraically Closed Fields,remainder sequences and, for the case where the coefficients have parameters, the tree of possible pseudo-remainder sequences and the set of possible greatest common divisors. Several important applications of logical nature of the projection theorem are given.作者: BET 時(shí)間: 2025-3-28 12:35
Real Closed Fields,ets and prove that the projection of a semi-algebraic set is semi-algebraic. This is done using a parametric version of real root counting techniques described in the second section. The fourth section is devoted to several important applications of the projection theorem, of logical and geometric n作者: Glucose 時(shí)間: 2025-3-28 15:32
Semi-Algebraic Sets, and bounded semi-algebraic sets in Section 4, we introduce semi-algebraic germs in Section 3. The semi-algebraic germs over a real closed field constitute a real closed field containing infinitesimals, closely related to the field of Puiseux series, and play an important role throughout the whole b作者: 珊瑚 時(shí)間: 2025-3-28 19:41 作者: 松雞 時(shí)間: 2025-3-28 22:53
Decomposition of Semi-Algebraic Sets,oduce the cylindrical decomposition which is a key technique for studying the geometry of semi-algebraic sets. In Section 2 we use the cylindrical decomposition to define and study the semi-algebraically connected components of a semi-algebraic set. In Section 3 we define the dimension of a semi-alg作者: 盡管 時(shí)間: 2025-3-29 05:07 作者: beta-carotene 時(shí)間: 2025-3-29 09:21
Quantitative Semi-algebraic Geometry,e key method for this study is the critical point method, i.e. the consideration of the critical points of a well chosen projection. The critical point method also plays a key role for improving the complexity of algorithms in the last chapters of the book.作者: AMOR 時(shí)間: 2025-3-29 12:05 作者: Gene408 時(shí)間: 2025-3-29 15:39 作者: 最小 時(shí)間: 2025-3-29 20:42
Real Roots, Descartes’s law of sign and Bernstein polynomials. These roots are characterized by intervals with rational endpoints. The method presented works only for archimedean real closed fields. In the second part of the chapter we study exact methods working in general real closed fields. Section 3 is dev作者: 增長(zhǎng) 時(shí)間: 2025-3-30 00:41 作者: 牽連 時(shí)間: 2025-3-30 04:38
Quantifier Elimination,ined doubly exponential complexity in the number of variables. On the other hand, we have seen in Chapter 13 an algorithm for the existential theory of the reals (which is to decide the truth or the falsity of a sentence with a single block of existential quantifiers) with complexity singly exponent作者: Odyssey 時(shí)間: 2025-3-30 08:28 作者: 雜色 時(shí)間: 2025-3-30 15:13
Computing Roadmaps and Connected Components of Semi-algebraic Sets,s provided by cylindrical decomposition in Chapter 12 for the problem of deciding connectivity properties of semi-algebraic sets (single exponential in the number of variables rather than doubly exponential).作者: 失望昨天 時(shí)間: 2025-3-30 19:47
1431-1550 real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts. In this first-ever graduate textbook on t作者: resuscitation 時(shí)間: 2025-3-31 00:27 作者: Commonwealth 時(shí)間: 2025-3-31 01:05 作者: nuclear-tests 時(shí)間: 2025-3-31 05:54
Der entschlüsselte Wachstumscode In the next section, we algebraically characterize systems of polynomials with a finite number of solutions and prove that the corresponding quotient rings are finite dimensional vector spaces. We end the chapter defining projective space and proving a weak version of Bézout’s theorem.作者: appall 時(shí)間: 2025-3-31 12:26
Fritz Kr?ger,Michael Tr?m,James McGrathr homology that applies only to simplicial complexes. In the second section, we show how to extend this theory to closed semi-algebraic sets using the triangulation theorem proved in Chapter 5. Finally, in the third section we define the Euler-Poincare characteristic for locally closed semi-algebraic sets.作者: subacute 時(shí)間: 2025-3-31 13:30
,Einleitung – Herangehen und Aufbau,atic forms. In Section 3, we study remainder sequences and the related notion of subresultant polynomials. The algorithms in this chapter are very basic and will be used throughout the other chapters of the book.作者: 牙齒 時(shí)間: 2025-3-31 17:34 作者: coddle 時(shí)間: 2025-3-31 22:53 作者: CAJ 時(shí)間: 2025-4-1 03:30
Real Closed Fields,described in the second section. The fourth section is devoted to several important applications of the projection theorem, of logical and geometric nature. In the last section, an important example of a non-archimedean real closed field is described: the field of Puiseux series.作者: 粗語(yǔ) 時(shí)間: 2025-4-1 06:53
Semi-Algebraic Sets,itute a real closed field containing infinitesimals, closely related to the field of Puiseux series, and play an important role throughout the whole book. We end the chapter with a section on semi-algebraic differentiable functions.作者: 稱贊 時(shí)間: 2025-4-1 13:00 作者: BET 時(shí)間: 2025-4-1 17:16
Elements of Topology,r homology that applies only to simplicial complexes. In the second section, we show how to extend this theory to closed semi-algebraic sets using the triangulation theorem proved in Chapter 5. Finally, in the third section we define the Euler-Poincare characteristic for locally closed semi-algebraic sets.作者: Visual-Field 時(shí)間: 2025-4-1 19:57
Complexity of Basic Algorithms,atic forms. In Section 3, we study remainder sequences and the related notion of subresultant polynomials. The algorithms in this chapter are very basic and will be used throughout the other chapters of the book.作者: Headstrong 時(shí)間: 2025-4-2 00:08
Real Roots,y for archimedean real closed fields. In the second part of the chapter we study exact methods working in general real closed fields. Section 3 is devoted to exact sign determination in a real closed field and Section 4 to characterizations of roots in a real closed field.
