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Partial-fraction expansion: part 3 [rational function numerical analysis]

โœ Scribed by Dyer, S.A.


Book ID
119808629
Publisher
IEEE
Year
2003
Tongue
English
Weight
252 KB
Volume
6
Category
Article
ISSN
1094-6969

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โœ Christian Friesen ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 119 KB

Let F be a finite field with q elements and let g be a polynomial in F[X] with positive degree less than or equal to q/2. We prove that there exists a polynomial f โˆˆ F[X], coprime to g and of degree less than g, such that all of the partial quotients in the continued fraction of g/f have degree 1. T