ANT
发表于 2025-3-23 12:11:56
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旧病复发
发表于 2025-3-23 16:46:01
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Awning
发表于 2025-3-23 19:51:32
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CYN
发表于 2025-3-24 01:04:59
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信徒
发表于 2025-3-24 04:27:36
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pulmonary-edema
发表于 2025-3-24 07:49:53
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BROOK
发表于 2025-3-24 10:49:37
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decipher
发表于 2025-3-24 17:43:53
The Role of the European Union,s are given to polynomials that are strictly positive on some domain, such as the positivstellensätze of Schmüdgen and Putinar. An optional alternative approach is offered, which uses pure states for convex cones and leads to the Archimedean local-global principle.
食料
发表于 2025-3-24 22:02:49
https://doi.org/10.1007/978-1-349-20902-6local-global principle, which is given an independent second proof. Combining this result with an analysis of (weighted) sums of squares in local rings, a series of existence and non-existence results is obtained for sums of squares representations of non-negative polynomials.
Banquet
发表于 2025-3-25 00:11:40
https://doi.org/10.1007/978-1-349-20902-6ariety . has minimal degree if, and only if, every non-negative quadratic form on . is a sum of squares of linear forms. Quantitative refinements are given as well. These results encompass several major classical theorems, among them the Hilbert 1888 theorems that were discussed in Chapter 2.