函式1致連續性研究
摘要
本文通過幾個典型的例子對函式1致連續性的概念進行深入分析，然後由康託定理出發討論函式1致連續性條件，得到幾個判別1致連續性的有用結論和方法，由判別函式1致連續性的'方法得到證明函式在區間內非1致連續的簡便方法，以加深了對函式1致連續性的概念的理解，最後總結1致連續函式的運算性質，包括複合函式的1致連續性及1致連續函式的4則運算，使得對函式1致連續性的內涵有了更全面，更深刻的理解和認識。
關鍵詞：1致連續；函式；非1致連續；康託定理。
The research of Function uniform continuity
ABSTRACT
In this papers, We discuss uniform continuity of article carries on the thorough analysis through several typical example to the function uniform continuity concept. And then starting from Cantor theorem discussion function consistent continuity conditions. We get some useful conclusion and the method that distinguished the function whether identically continuously. Finally, we summarized the consistent continuous function operation nature. Including the uniform continuity of Composite function and the mathematical operations of consistent continuous function.
Keywords: Uniformly continuous; Function; Non- Uniformly continuous; Cantor theorem.
