摘要: 万事无常,天下没有永恒的事物,人世间也没有永恒的感情。有多少感情原本就是虚情假意,有多少感情只是场面的客套,又有多少真情会随着时间的流逝而变淡。有多少兄弟反目,父子成仇。不要妄想永远,只要珍惜现在。当你看到一只不自由的麻雀而心生怜悯,将之放走;当你看到一个落魄的乞丐而心生同情,解囊相助,这就是一刹那... 阅读全文
posted @ 2013-01-25 21:19 叶卢庆 阅读(180) 评论(0) 推荐(0)
摘要: 万事无常,天下没有永恒的事物,人世间也没有永恒的感情。有多少感情原本就是虚情假意,有多少感情只是场面的客套,又有多少真情会随着时间的流逝而变淡。有多少兄弟反目,父子成仇。不要妄想永远,只要珍惜现在。当你看到一只不自由的麻雀而心生怜悯,将之放走;当你看到一个落魄的乞丐而心生同情,解囊相助,这就是一刹那... 阅读全文
posted @ 2013-01-25 21:19 叶卢庆 阅读(168) 评论(0) 推荐(0)
摘要: Exercise 1.3.3 Let $X,Y$ be sets such that there is a map from X onto Y . Show that $Y\leq_c X$. Proof:Let this onto map from $X$ to $Y$ be $f$.For a... 阅读全文
posted @ 2013-01-25 20:11 叶卢庆 阅读(174) 评论(0) 推荐(0)
摘要: Exercise 1.3.3 Let $X,Y$ be sets such that there is a map from X onto Y . Show that $Y\leq_c X$. Proof:Let this onto map from $X$ to $Y$ be $f$.For a... 阅读全文
posted @ 2013-01-25 20:11 叶卢庆 阅读(135) 评论(0) 推荐(0)
摘要: If $X$ is infinite and $A\subseteq X$ finite, then $X\backslash A$ and $X$ have the same cardinality. Proof:First,it is easy to prove that $X$ has ... 阅读全文
posted @ 2013-01-25 19:31 叶卢庆 阅读(143) 评论(0) 推荐(0)
摘要: If $X$ is infinite and $A\subseteq X$ finite, then $X\backslash A$ and $X$ have the same cardinality. Proof:First,it is easy to prove that $X$ has ... 阅读全文
posted @ 2013-01-25 19:31 叶卢庆 阅读(130) 评论(0) 推荐(0)