upper bounded function
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This paper tries to define metric function for homeomorphic mapping, and a sufficient condition of bounded metric function is given, under which a upper bound of metric function is defined as well.
对于一个同胚映射，本文给出了度量函数的定义，并且给出了度量函数有界的一个充分条件及在此充分条件下度量函数的一个上界。
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It says that function, f of x, is bounded above here's an upper limit on it, that this grows no faster than quadratic in n, n squared.
这意味着这个方法f是有上限的,这个方法增长的速度,不会比括号内的n*n快。
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