Editst Dream

白日梦与其他

2013届的同学们:

今天是你喜庆的日子,是你们的成人礼,是你们人生的一个新的开端。

你们将披戴上一副庄重的桂冠和礼袍,那表示你们成为了“学士”。在中国传统的语言中,成为“士”,那就是获得了一种与众不同的身份。“学以居位曰士”,“以才智用者谓之士”。士有各种,而“学士”,就是以学问和才智获得“士”的资格,受人尊重的人。

所以,我衷心地祝贺你们,祝贺你们十几年求学终成正果!

昨天,我儿子通过博士答辩,完成学业,也与你们一样,在这个毕业季走出校园,走向社会。

我对他的担忧与期望,也就是对你们的担扰与期望。

我是他的父亲,也是你们的丛大大。

你们今天毕业走出校门,明天就是社会大学的开学典礼。人生就是一次次的毕业与开学,但是,只有这次毕业与开学是人生最重要的转折点。
与今后的漫长旅程相比,你以前的学习生活只是学步而已;与即将开场的人生大戏相比,此前的学习生活只是序幕而已。

你们即将进入的这个社会,是一个丰富而精彩的人生舞台,你们将在那里实现自己的价值,享受你们的人生。但同时,它也是一个险恶的江湖,污浊的泥潭。

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4.19

Study the behavior of our model for Hyperion for different initial conditions. Estimate the Lyapunov exponent from calculation of, such as those shown in Figure 4.19. Examine how this exponent varies as a function of the eccentricity of the orbit.

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基于 Nginx ,在服务器同时搭建了 Hexo 和 Jupyter,可以使用 Jupyter 直接在线编辑 Markdown 并发布,同时能够直接看到 Hexo 博客的效果。服务器使用的是 GCP 提供的免费试用服务,域名是 freedom 免费域名,使用 Cloudflare 的 DNS 和 CDN 服务,开启 https 加密。其实就是全部免费啦,可以根据自己的情况换用不同的服务。

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Problem 4.9

In this section we saw that orbits are unstable for any value ofthat is not precisely 2 in (4.12). A related question, which we did not address (until now), is how unstable an orbit might be. That is, how long will it take for an unstable orbit to become obvious. The answer to this question depends on the nature of the orbit. If the initial velocity is chosen so as to make the orbit precisely circular, then the value ofin (4.12) will make absolutely no difference. Of course, in practice it is impossible to construct an orbit that is exactly circular, so the instabilities whenwill always be apparent given enough time. Even so, orbits that start out as nearly circular will remain almost stable for a longer period than those that are highly elliptical. Investigate this by studying orbits with the same value of(say,) and comparing the hebavior with different values of the ellipticity of the orbit. You should find that the orientation of orbits that are more nearly circular will rotate more slowly than those that are highly elliptical. (尝试利用不是2的值构造圆形轨道,并讨论各种不同轨道情况下的稳定性。)

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