Rational number can approximate to real number, use the notation of approximate one can prove Riemann function isn t differentiable anywhere, that the Rational points are dense in unit circle.

利用有理数对实数逼近的表示方式，给出黎曼函数处处不可导的一种证明，给出单位圆周上的有理点在单位圆上稠密的证明。

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In one column I mentioned Randy Clines fish tale, except I didn t have my notes to tell you the exact size and wasn t even real sure if I had remembered it was a trout.

在一栏内，我提到兰德歪斜收盘鱼故事除我雾化笔有我的笔记告诉你的确切规模和其余120即使真正知道我已经忘记这是鳟鱼。

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Of course, that doesn't mean that in the real world one of them does exist and the other one doesn't.

当然,这并不意味着,在现实世界里面其中一个存在,而另一个不存在

耶鲁公开课 - 死亡课程节选

The common good became a real concept and one that, unfortunately, some of his successors didn't some of his successors didn't take terribly seriously.

他使追求公共利益真正成为深入人心的理念,不幸的是,他的接下来的继任者并不把这当回事儿

耶鲁公开课 - 欧洲文明课程节选

But kids, according to Piaget,don't know that and this is one of the real cool demonstrations.

但皮亚杰认为儿童并不知道会这样,这个概念是非常精彩的证据之一

耶鲁公开课 - 心理学导论课程节选

There wasn't one real gust of wind that broke it.

CNN: Engineering a hurricane-proof roof

He contends in a Reuters interview that no one should be forced to use their real name, and that Google won't press for one, especially in politically oppressive situations where there could be dire consequences to protesting under a real identity.

ENGADGET: Vint Cerf: Google services need a degree of anonymity, and they deliver it

He even explained why there are so many different Santas out there the real one can't be everywhere at once and so he has helpers.

WSJ: Comparing Santa Video Chats