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

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https://doi.org/10.1007/978-3-322-97571-3in terms of the output length, . they work in time .(..), for all δ > 0, where . is an a priori bound on the length of the output. Since we require time Ω(.) just to write down the output the algorithms are close to optimal. The algorithm for inverse uses a technique referred to as dynamic evaluatio
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Bilder von Zwillingskristallen,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
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Patrick S. Föhl,Patrick Glogner-Pilz: Dodgson’s method [1], Bareiss’s method [2] and two methods of the author — method by forward and back-up procedures [3] and a one-pass method [4]..We show that for the number of coefficient operations, or for the number of operations in the finite rings, or for modular computation in the polynomia
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Algorithms for a Multiple Algebraic Extension,me Ω(.) just to write down the output the algorithms are close to optimal. The algorithm for inverse uses a technique referred to as dynamic evaluation for computing in algebraic extensions defined by reducible polynomials.
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https://doi.org/10.1007/978-3-658-01234-2l version is surprisingly elementary; these notes, for example, include an essentially self-contained presentation of the hypersurface case. The general case involves a “reduction to the hypersurface case” result from [5].
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