Yun Tian-quan. Solution of Simultaneous Equations of Cosine Law Arising from Subjectivity Geometry[J]. Applied Mathematics and Mechanics, 1990, 11(7): 591-595.
Citation: Yun Tian-quan. Solution of Simultaneous Equations of Cosine Law Arising from Subjectivity Geometry[J]. Applied Mathematics and Mechanics, 1990, 11(7): 591-595.

Solution of Simultaneous Equations of Cosine Law Arising from Subjectivity Geometry

  • Received Date: 1989-06-30
  • Publish Date: 1990-07-15
  • This paper discusses the solution of a group of two-order six elements rooted algebraic simultaneous equations set up by cosine law arising from the application example of subjectivity geometry[1].By means of the implicit function theorem,this paper proves that there exists a unique real solution of those equations.Transforming this problem into an unconstrained nonlinear optimization problem,the solution can be found by known methods.A numerical example by descent method is given.
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    云天锉,主观几何初步探讨,应用数学和力学,10,8(1989),657-662.
    [2]
    数学手册编写组,《数学手册》,高等教育出版社,北京(1979),90.
    [3]
    夏道行等人编著,《实变函数论与泛函分析》(下册),人民教育出版社,北京(1979).
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