定义: Start with the unit interval = Remove from that set the middle third and set = \ (1/3, 2/3]) Remove from that set the two middle thirds and set = \ { (1/9, 2/9) (7/9, 8/9) } Continue in this fashion, where = \ { middle thirds o ...
参考一下美国攻读数学学位的研究生课程,对自己也是一个帮助。研究生的课程学习阶段,究竟要学多少课程。MIT规定:“ Complete 11 one-semester graduate courses ... with grades of A or B. ”如果每学期三门课,两个学年四学期应该可以完成,看来关键是完成的质量。 参考一下美国另一所大学,The Ohio State University ...
A set S of real numbers is called compact if every sequence in S has a subsequence that converges to an element again contained in S . Is the interval compact ? How about is compact. To see this, take any sequence of points in . Since the sequence must be bounded, we can ...