한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제14권2호
  • /
  • Pages.99-109
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  • 2007
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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NUMBER OF VERTICES FOR POLYGONAL FUNCTIONS UNDER ITERATION

  • Li, Lin (DEPARTMENT OF MATHEMATICS, SICHUAN UNIVERSITY)
  • 발행 : 2007.05.31
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초록

Being complicated in computation, iteration of a nonlinear 1-dimensional mapping makes many interesting problems, one of which is about the change of the number of vertices under iteration. In this paper we investigate iteration of polygonal functions which each have only one vertex and give conditions under which the number of vertices either does not increase or has a bound under iteration.

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