Closures of quadratic modules
نویسندگان
چکیده
منابع مشابه
Positive Polynomials and Sequential Closures of Quadratic Modules
Let S = {x ∈ Rn | f1(x) ≥ 0, . . . , fs(x) ≥ 0} be a basic closed semi-algebraic set in Rn and let PO(f1, . . . , fs) be the corresponding preordering in R[X1, . . . , Xn]. We examine for which polynomials f there exist identities f + εq ∈ PO(f1, . . . , fs) for all ε > 0. These are precisely the elements of the sequential closure of PO(f1, . . . , fs) with respect to the finest locally convex ...
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There are two somewhat contradictory ways of looking at modules in a given programming language. On the one hand, module systems are largely independent of the particulars of programming languages. On the other hand, the module constructs may interfere with the programming constructs, and may be redundant with the other scope mechanisms of a specific programming language, such as closures for i...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2011
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-011-0056-y