Virtues 发表于 2025-3-23 12:04:25
http://reply.papertrans.cn/31/3028/302788/302788_11.png座右铭 发表于 2025-3-23 14:37:14
Elementary constructive theory of ordered fields,However since Tarski (and even since Sturm and Sylvester) one knows how to compute in the real closure of an ordered field . solely by computations in .. This apparent contradiction is solved in this paper.Preserve 发表于 2025-3-23 21:13:46
Effective real Nullstellensatz and variants,utes, for the input “a system of generalized signs conditions (.) on polynomials of .[.., .., …, ..] impossible to satisfy in the real closure of ., an algebraic identity that makes this impossibility evident. The main idea is to give an “algebraic identity version” of universal and existential axioguzzle 发表于 2025-3-24 01:30:22
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https://doi.org/10.1007/978-3-642-51102-8We here give a method to calculate the resultant of three polynomials in terms of a square-free decomposition and resultants of two polynomials. After that, we show how the subresultant algorithm enables us to avoid many calculations..In the last part, we study the possible extension to the general case of . homogeneous polynomials in . variables.