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    4/1/2009

    超级玛丽

     
    3/12/2009

    It Really Sucks

     

    手指可以这么快么

     

    3/8/2009

    这个游戏动力学模型建的不错

        
    12/19/2008

    数学题:最聪明的数学家陶哲轩

    有意思的题目 我的思路和此文中的“二”类似

     

    陶哲轩的数学题

    陶哲轩

      陶哲轩(Terence Tao),是华裔澳大利亚籍数学家,最近广为人知是因为美国《探索》杂志评选出“美国20位40岁以下最聪明科学家”名居榜首。陶哲轩的智商介于220至230之间,如此高的智商百万人中才会有一个。更多介绍:1234

    陶哲轩的数学题

      (English)在机场中,你想从A点前往B点。(为了将问题简化,假设机场是一条线性通道。)一些区域有电动扶梯(双向的),另一些区域没有。你的步行速度恒定为v,电动扶梯的运行速度为u,因此在扶梯上,你的实际速度为v+u。(显然,你不会搭乘与你前进方向不一致的扶梯。)你的目标是尽可能快地从A点到达B点。

      1. 假定你需要暂停片刻,比如系鞋带。请问你应该在电动扶梯上系,还是在没有上电动扶梯时系?假定两种情况下,系鞋带的时间相同。

      2. 假定你有有限数量的多余能量,用来奔跑。在跑动时,你的速度提高到v’(如果在电动扶梯上,就相应为v’+u)。请问你应该在电动扶梯上跑,还是在没有上电动扶梯时跑?假定两种情况下,你可供奔跑的能量相同。

      3. 在狭义相对论的情况下,上述答案是否发生改变?(中文由阮一峰译

    陶哲轩的数学题的答案

      答案不重要,最重要的是“用更简单的分析”得出答案。以下内容隐藏,选中后可以看到:

    一、最简单的直观分析
      此类问题有一个经验,就是全程的速度越均匀越好。
      由此得结论:系鞋带要在快的时候进行;加速要在慢的时候进行。

      如果以前没有做过“类似”的题,可能不理解“速度越均匀越好”的策略。请思考以下问题:从A地到B地再原路返回。甲去时10km/h,返时2km/h;乙去时8km/h,返时4km/h;丙往返都是6km/h。三人谁先到达?
      再思考一般化题目:路程s1段的速度为v1;s2段的速度为v2;但要求在一小段时间dt内,速度发生一点改变,改变值为dv。问此dv发生在哪段路,才能更早到达终点?

    二、较简单的计算分析:想象成ABC3个人的比赛

    问题1:

      A和B先一起走路,再一起上了扶梯。这时,B费时间T来系鞋带。则A到终点时,B还有T*v的距离,需时 T*v/(u+v)
      A和C再比赛,先一起过了扶梯,再一起走路。这时,C费时间T来系鞋带。则A到终点时,C还有T*v的距离,需时 T*v/v才到。
      BC相比,B胜出。即:应该扶梯上系鞋带。
      [更直观分析]:无论何时系鞋带,都会牺牲速度v,对应距离都是vT。但区别在于自己弭补的速度,当然,在扶梯上弭补更快。

    问题2:

      A和B一起走路,再一起上了扶梯。这时,B开始加速(值记为dV,时间记为T)。则B到终点时,A还需要 T*dV/(u+v)才到。
      A和C再比赛,先一起过了扶梯,再一起走路。这时,C开始加速。则C到终点时,C还需要 T*dV/v才到。
      BC相比,C优势更大。即:应该走路时加速。
      [更直观分析]:无论何时加速,都会得到速度dV,对应领先距离都是dV*T。但区别在于别人追赶的速度。为了领先最大化,当然要放在低速行走时。

    问题3:

      原先对题目理解有误,现在想来,此题应该视为:几项速度都接近光速,并且机场、扶梯、行人是不同的参照系。因此,有可能在不同的参照系中,产生不同的先后关系。
      但如何计算,现在已经不会了。

    三、中规中矩的计算分析

      略。

    四、代入数值法

      如果不能如方法一那样直观分析,也不能如二、三那样推理,其实,自行设定一些数值来计算,就简单多了——至少可以得出答案。

    12/4/2008

    CCTV

    11/24/2008

    水-舞

     
    11/17/2008

    黎礎寧

     
    才24的小姑娘 竟然以最极端的方式结束了自己的生命
    上一季的星光 她唱了很多好歌 可惜可惜
     
     
     
     
    11/11/2008

    留言中学到的事


    来美之后越发猥琐
    难得这次在Boston
    不仅穿的人模狗样
    又刚好有两个照的好的在边上
    才有了这几张算是吓不到人的照片

    没想到引来众位兄弟姐妹的留言
    除了rui和tangtang的
    其他都让我confirm了自己一贯的形象
     
    fei: 天呐,原来小白也可以这么帅啊
    Nebel: chengshuduole阿
    老毕: 可以嘛,西装革履的。是成熟了!
    Tony: 原来也是正经人啊,哈哈
     
    全部去反 = 一贯的形象 = 丑+幼稚+不正经
    O(∩_∩)O哈哈~
    人民的眼睛果然是雪亮的
    和我对自己的评价基本吻合
     
     

    虾急了也能跑

     
    10/12/2008

    请跟我来


    两个版本 分别是台湾的两个大姐大
    第一个是刚从《搭错车》里截下来的 女声是苏芮 这个电影很好
    第二个是江蕙和费玉清 越来越喜欢费玉清了

     

     

    机器人向人看齐 人向机器人看齐

     
    46秒后的那个 惊为天人
     
     

    画皮


    先喜欢上张靓颖的主题歌
    没有等DVD 就下来看了
    一个皆大欢喜的结局 没有失败者
     
    这么多年过去了
    周迅的眼神依旧无敌 无人可以替代
    赵薇也再也不是那个小燕子了 好
     
     
     
     
    10/5/2008

    海角七号


    竟然在台湾破了李安和色戒的记录
    还没仔细看... 配乐很喜欢
     
      
    9/29/2008

    The Finest Science Images of 2008

    Stream Micro-Ecology: Life in a Biofilm

    Microbial biofilms, more commonly known as slime, are complex communities of many different types of micro-organism, thought to be of considerable ecological importance in aquatic environments. This poster shows the main types of organisms, which are found in a biofilm from a stream, and explains their interactions and ecological roles within the stream ecosystem. By Andrew Dopheide and Gillian Lewis, University of Auckland.

    86 68

    Mad Hatter's Tea

    An excerpt from an informative book, entitled "Alice's Adventures in a Microscopic Wonderland." The objects from micrographs are reverently sculpted together with an effort to protect their intrinsic beauty. By Colleen Champ and Dennis Kunkel, Concise Image Studios.

    57 28

    3D Imaging of Mammalian Cells with Ion-Abrasion Scanning Electron Microscopy

    Rendered 3D image of a melanoma cell using data obtained using ion abrasion scanning electron microscopy, a novel approach for imaging mammalian cells at nanometer resolution. By Donald Bliss and Sriram Subramaniam, National Library of Medicine.

    40 18

    Visualizing the Bible

    All 1,189 chapters of the Bible are depicted as a bar graph along the bottom of the illustration - the length of each bar is proportional to the number of verses in the chapter (books alternate in color between white and light grey). Rendered above this are 63,779 cross references, each represented by a single arc connecting two pieces of the text; different colors are used to denote varying distances between connected chapters. By Chris Harrison, Carnegie Mellon University; Christoph Römhild, North Elbian Evangelical Lutheran Church.

    67 35

    Zoom Into the Human Bloodstream

    The circulatory system is the body’s primary transport network, delivering oxygen to cells, carrying away wastes, and fighting off intruders. This illustration reveals the system’s key components across ten orders of magnitude. By Linda Nye and the Exploratorium Visualization Laboratory.

    103 12

    Polymazing

    We synthesized a thin layer of cross-linked poly(ethylene glycol) covalently attached to the surface of an elastomeric polymer. Immersing the polymer in water caused the hydrogel to absorb water and swell, which created strain on the elastomeric back-layer. The interplay between expansion of the hydrogel and the distortion of the elastomer created the spontaneous buckling of the poly(ethylene glycol) layer, which formed a beautiful pattern of wrinkles. The physical phenomenon responsible for this buckling behavior emerges in many places in nature, including: fingerprints and the wrinkles that form on the petals of flowers and the edges of leaves. By Ye Jin Eun and Douglas B. Weibel, University of Wisconsin-Madison.

    26 26

    Squid Suckers: The Little Monsters That Feed the Beast

    Loligo pealei squids have eight arms and two tentacles, all of which are coated with suction-cups, lined with fangs composed of chitin. These tiny suckers, whose diameters are around 400 µm, ultimately ensure that the half-meter-long squid will enjoy its next afternoon snack! By Jessica D. Schiffman and Caroline L. Schauer, Drexel University.

    36 27

    String Vibrations

    What looks like a 3-dimensional subject is actually the path described by a rapidly spinning string cutting apparent volumes in space. These are visualized over time and appear as real volumes due to the temporal nature of the camera exposure that was used to make the illustration. By Andrew Davidhazy, Rochester Institute of Technology.

    41 17

    The Glass Forest

    Depicts at the microscale level a community of diatoms, unicellular algae characterized by a peculiar glass-like cell wall, attached to the basal segment of a marine invertebrate (Eudendrium racemosum) and captured by Scanning Electron Microscope.

    8/14/2008

    谁能告诉我 我的哪一个老窝被掀了?



       西山宿舍楼翻建项目工地