Titlebook: Effective Polynomial Computation; Richard Zippel Book 1993 Springer Science+Business Media New York 1993 Approximation.Diophantine approxi

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,Euclid’s Algorithm,ations. These computations may be performed on a variety of different mathematical quantities: polynomials, rational integers, power series, differential operators, etc. The most familiar of these algebraic structures are the .: ℕ={1,2,3,...}. If we include zero and the negative integers we have ℤ, the ., which are commonly called the ..

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,Polynomial GCD’s Classical Algorithms,ons with rational functions (quotients of polynomials) require a GCD to reduce the fraction to lowest terms. However, computing polynomial GCD’s is significantly more difficult than the arithmetic calculations discussed in Chapter 7.

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The Springer International Series in Engineering and Computer Sciencehttp://image.papertrans.cn/e/image/302799.jpg

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Effective Polynomial Computation978-1-4615-3188-3Series ISSN 0893-3405

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https://doi.org/10.1007/978-3-642-99649-8ations. These computations may be performed on a variety of different mathematical quantities: polynomials, rational integers, power series, differential operators, etc. The most familiar of these algebraic structures are the .: ℕ={1,2,3,...}. If we include zero and the negative integers we have ℤ, the ., which are commonly called the ..