| LROTH'S THEOREM IN DIFFERENTIAL FIELDS |
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| 引用本文： | GAO Xiaoshan(Gao Xiao-shan) XU Tao(Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese of AcademySciences,Beijing 100080,China). LROTH'S THEOREM IN DIFFERENTIAL FIELDS[J]. 系统科学与复杂性, 2002, 0(4) |
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| 作者姓名： | GAO Xiaoshan(Gao Xiao-shan) XU Tao(Institute of Systems Science Academy of Mathematics and Systems Science Chinese of AcademySciences Beijing 100080 China) |
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| 作者单位： | GAO Xiaoshan(Gao Xiao-shan) XU Tao(Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese of AcademySciences,Beijing 100080,China) |
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| 基金项目： | This research is supported in part by CNSF under an Outstanding Youth Grant(No. 69725002),by a "973" Project. |
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| 摘 要： | In this paper, we present a constructive proof of Luroth's theorem in differential case. We also give a method to find the inversion maps for general differential rational parametric equations. As a consequence, we prove that a differential rational curve always has a set of proper parametric equations.
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LUROTH'S THEOREM IN DIFFERENTIAL FIELDS |
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| GAO Xiaoshan. LUROTH'S THEOREM IN DIFFERENTIAL FIELDS[J]. Journal of Systems Science and Complexity, 2002, 0(4) |
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| Authors: | GAO Xiaoshan |
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| Abstract: | In this paper, we present a constructive proof of Luroth's theorem in differential case. We also give a method to find the inversion maps for general differential rational parametric equations. As a consequence, we prove that a differential rational curve always has a set of proper parametric equations. |
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| Keywords: | Differential fields Liiroth's theorem differential parametric equations differential curves proper parametric equation. |
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