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

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Continued Fractions,on is interpreted as the limiting value of the sequence . if the limit exists. Assuming this sequence converges, denote its limit by a. The elements of this sequence are called the continued fraction convergents of .. When the . are equal to 1, the elements of the above sequence are quite good appro

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Diophantine Equations,us of Alexandria, an early Greek mathematician who wrote a famous book that posed many such problems. Since one thinks of the real world as being continuous, one might think that diophantine equations are just mathematical curiosities. However, due to the quantization introduced by finite precision

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Lattice Techniques,n be expressed as determining integers . and . that minimize .. Continued fraction techniques can be used to efficiently determine integers p and . satisfying . This is a rewritten form of Proposition 5.

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