改正
发表于 2025-3-25 06:29:56
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范围广
发表于 2025-3-25 11:14:42
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Conjuction
发表于 2025-3-25 11:47:47
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.
Vertical
发表于 2025-3-25 18:08:35
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过分自信
发表于 2025-3-25 21:06:14
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.
慷慨不好
发表于 2025-3-26 00:37:25
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单挑
发表于 2025-3-26 06:02:53
Positive Polynomials with Zeros,local-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.
玷污
发表于 2025-3-26 08:48:59
Sums of Squares on Projective Varieties,ariety . 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.
Autobiography
发表于 2025-3-26 12:57:25
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轻率的你
发表于 2025-3-26 18:22:44
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