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单词 periodic point
释义
periodic point

Mathematics
  • Given a function f:XX of a set X, then x in X is a periodic point if the sequence

    x,f(x),f2(x),f3(x),

    eventually returns to x. (Here fk(x) denotes k applications of f to x.) The least positive n such that fn(x) = x is called the period of x and

    {x,f(x),f2(x),,fn1(x)}

    is called the orbit of x.


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