commotion
发表于 2025-3-21 19:34:51
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anticipate
发表于 2025-3-21 22:23:34
0072-5285 ing and polynomial optimization, including recent research on semidefinite representation of convex sets...Written by a leading expert and based on courses taught for several years, the book assumes familiarity978-3-031-69213-0Series ISSN 0072-5285 Series E-ISSN 2197-5612
要控制
发表于 2025-3-22 03:14:22
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Anticlimax
发表于 2025-3-22 05:35:35
The Growth of Synthetic and Imitation Gems,Chapter 2 introduces Newton polytopes and Gram matrices of polynomials. After a proof of the Fejér–Riesz theorem, the main topics are Hilbert’s 1888 theorems on the (non-)existence of sum of squares representations of non-negative polynomials.
PHAG
发表于 2025-3-22 10:55:21
https://doi.org/10.1007/978-3-642-67467-9The central object in Chapter 3 is the real spectrum of a ring. The topology of the real spectrum is discussed in some detail, and various stellensätze (of Krivine–Stengle type) are presented, both in an abstract and in a geometric setting.
condone
发表于 2025-3-22 15:19:36
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STENT
发表于 2025-3-22 19:19:57
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与野兽博斗者
发表于 2025-3-22 22:12:27
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分期付款
发表于 2025-3-23 05:00:00
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颂扬本人
发表于 2025-3-23 06:22:00
Semialgebraic Geometry,Chapter 4 contains an introduction to central concepts from semialgebraic geometry, such as connected components, dimension or semialgebraic paths. Among the main results are the finiteness theorem and cylindrical algebraic decomposition of semialgebraic sets. Usefulness of the real spectrum is emphasized throughout.