Continuity, uniform continuity, uniform convergence and equicontinuity are very important qualities of functions or sequence of functions.

连续、一致连续、一致收敛和等度连续是函数或函数列非常重要的性质。

The concept of uniform convergence was proposed for the thorough research on the analyticity of the functions defined as limits.

摘要一致收敛概念是为深入研究极限函数的分析性质而提出的。