Titlebook: Effective Methods in Algebraic Geometry; Teo Mora,Carlo Traverso Book 1991 Springer Science+Business Media New York 1991 Dimension.Mathema

Virtues

座右铭

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

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 axio

guzzle

带来墨水

明确

Gyrate

Common-Migraine

Ossification

dowagers-hump

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.