查询词典 uniformly continuous map
- 与 uniformly continuous map 相关的网络例句 [注:此内容来源于网络,仅供参考]
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Suppose C is a Graph with k loops andf: G 梸- G is a continuous map with at least a peri- odic point. We prove the following three conditions are equivalent:(1) f is equicontinuous;(2) One of the following End + 2k + 1 conditions holds: in FJm.~0(E~+2L!= flJ1,m = l,2,挃,End J=1 + 2k; 1 0 = flf is a ioop on Gandf I~:0?- 0 is conjugate j=1 to a rational rotation;(3) One of the following End + 2k + 1 conditions holds: k m Lfl.m/~oE~(G+2i!~ is uniformly convergent, m = 1,2,,End+2k; n There is a poistive integer number n,~~~ is uniformly convergent.
假设G是含有k个圈的图,f是G到自身上的连续映射,并且至少有一个周期点,我们证明了下列三条陈述是等价的:(1)f是等度连续的;(2)下列End+2k+1个条件之一成立: m)F l)O=是G的一个圈,且fl_o:O→O共轭于一个有理旋转;(3)下列End+2k+1个条件之一成立: m)是一致收敛的,m=1,2,…,End+2k; l)存在某个正整数n,是一致收敛的。
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