Ritt - Wu ’ s Decomposition Algorithm ∗

نویسندگان

  • Shang-Ching Chou
  • Xiao-Shan Gao
چکیده

An improved Ritt-Wu’s decomposition (of an algebraic set into the union of irreducible varieties) algorithm is given. The algorithm has been used to prove geometric theorems that Wu’s original method addresses. Unlike Wu’s original approach, nondegenerate conditions are given explicitly at the beginning, not generated during the proof process. A program based on this improved version of the algorithm proved more than 500 theorems, including Morley’s trisector theorem.

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تاریخ انتشار 2004