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Non-existence of rational integrals in the J22-problem

✍ Scribed by JoséM Ferrándiz; M Eugenia Sansaturio


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
494 KB
Volume
207
Category
Article
ISSN
0375-9601

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✍ Takis Sakkalis; Rida T. Farouki; Leonid Vaserstein 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 353 KB

We show, as a generalization of prior results for R 2 and R 3 , that for all n ≥ 2 the only curves in R n with rational arc length parameterizations are straight lines.