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In mathematics, a Misiurewicz point is a parameter in the Mandelbrot set (the parameter space of quadratic polynomials) for which the critical point is strictly preperiodic (i.e., it becomes periodic after finitely many iterations but is not periodic itself). By analogy, the term ''Misiurewicz point'' is also used for parameters in a Multibrot set where the unique critical point is strictly preperiodic. (This term makes less sense for maps in greater generality that have more than one (free) critical point because some critical points might be periodic and others not.) ==Mathematical notation == A parameter is a Misiurewicz point if it satisfies the equations : and : so : : where : * is a critical point of , * and are positive integers, and denotes the -th iterate of . 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Misiurewicz point」の詳細全文を読む スポンサード リンク
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