Maximum,progression,differential coefficient 哈哈哈,楼主,这样的翻译你要是用了,论文还能发表/通过毕业吗?
海涅定理及其应用 (Heine Theorem and its Application)
(作为标题,应该明白,实词首字母大写,虚词不用,这也是学术作品的一个小规范)
Abstract:This paper/dissertation explains the meaning of Heine Theorem,derives the different forms of the theorem for different functional limits,and summarizes the theorem's application with examples.
Keywords:Heine Theorem; series; function series; derivative
如果是要发表在刊物上论文,就用paper,毕业论文应当用dissertation.