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Archive for December, 2006

大家新年快乐~~~

Posted by mathwww on December 31, 2006

 
这一年临近结束的时候还真是波澜壮阔了点。 正如我在中秋文里所说的,兴许来到一个新地方,总是要遭遇这么一两回的。路总是要走,家总是会到的。新年里也不许什么远景的梦想,也不为大家提什么良好的祝愿了,这是我在Personal History 里面写的某段时间里养成的观念,被祝福或是不被祝福make no difference,关键是知道自己该怎么去做,知道路该怎么走,知道自己会走到哪里。
 
所以也就祝大家新的一年里都带着自己的信念,不会迷惘吧。
 
还有希望msn space 可以多些背景… 现在总是找不到觉得很好的背景… 还有颜色代码也不知道怎么查,比如我想改成银灰色的版面该咱弄??? 
 
嗯,还有希望世界上更多人懂数学… …  比世界和平是难了一点,也就这么说说吧… …

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Personal History

Posted by mathwww on December 24, 2006

En, 趁要写这个的时候也算是一个tiny 回忆录,略记高中往事,给不熟悉我大学前的同学八卦一下.  不过有些不宜写上的东西就没写了… 尽管也是比较essential 的,不过还是算了吧…
 

It is a long and circumscribed way for me to the position of a Ph. D. student in mathematics, and my motivation to start actually due to an IMO Medal prize, Qihui Zhu. 

 

As a student in middle school, I was noticed by my teachers for my talents in mathematics, therefore got some training in math competition till high school.  Once upon a time, I was introduced to Qihui Zhu, the son of a friend of my father.  Qihui was a very talented student in the best high school in our city that kept acing all regular exams in high school and won a Silver Medal and a Gold Medal in 2 IMO competitions, respectively.  It was an unexpectedly impressive meeting that he first showed me how cool one could be when solving a math problem.  I still remember how shocked I was when he quickly solved several problems that annoyed me for weeks in quite a decent and elegant way.  Besides his fast response, the viewpoint and methods he adopted in solving problems showed me how interesting mathematics can be, I mean, other than just mean value inequality.  From then on, I decided to be a problem solver as cool as him, and devoted myself to math competition.

 

Unfortunately, I did not have the chance to see Qihui after that.  On the other hand, my high school actually focuses on the National Matriculation Exams, thus teachers don’t pay serious attention to mathematics beyond high school.  I was frustrated after several times my teachers did not pay any attention to my questions–even the multiplication of matrices, and decided to do everything myself.  My load on regular courses were not reduced at all, so I stayed up late to read mathematics after dealing with stacks of homework.  At that time, I had little time to spend on entertainment.  The most frustrating thing was, which I can never forget, that I was teased by some of my classmates, who kept telling me mathematics is nonsense and asserted that I could never succeed in math competition like judges.  Also, my parents told me not to try on something impossible and that I should focus on my study in regular courses.  And I did not make it, really, even after 3/4-year overnight self-study. 

 

As I got out of the pain of this failure, I set up a new goal of entering School of Mathematics, Peking University, where many of the IMO, CMO prizers go for their further study in mathematics.  I desired for a group of friends who like talking about mathematics with me, after immersed for years in a class in which everyone thinks math was useless and boring.  But another joke fell onto me.  Because of the low scores in biology, geography and politics in the National Matriculation Exams, I was finally enrolled by Peking University as a student in Chinese Literature.

 

At that time, I almost surrendered to settle on literature because of the non-stop failure chasing mathematics for years.  Mathematics is beautiful, and mathematicians are cool, but I can never be one all my life, I told myself.  However, the mathematics courses I audited in math department gave me a fresh touch in the deepest bottom of my desire to be a mathematician.  I have tried by myself to divide the area between a parabola and axis into small pieces, and found the dimension of special areas like that in high school, but I was surprised to find that all these can be done in such a simple way of integration; and more mathematical analysis, especially some interesting problems applying Taylor expansions and mean value theorems enchanted me a lot.

 

In addition, when I was auditing courses in Math Department, I met Jian Wang, a smart student won a silver medal in CMO and eventually my best friend in undergraduate years.  Our common interests, or rather, craziness about mathematics quickly familiarized us.  We sometimes stayed up until 2 or 3 o’clock discussing problems or tales about mathematicians.  Besides him, I got to know quite a few students in Math Department who shared the same goal about our future—to be a mathematician.  Among them, I felt the care for each other on the way of learning mathematics I have been longing for years. 

 

My strong will to learn mathematics and encouragement from my friends finally made me reach the decision of switching my major.  By self-study, I passed an exam consisting of mathematical analysis and linear algebra and successfully realized my dream of being a student in mathematics.  After I joined Math Department, we gradually formed a study group and held a lot of student seminars varying from commutative algebra, algebraic geometry to characteristic classes.  Everyone cared about true mathematics and communicate their ideas in the language of mathematics—even during lunch, my friend might shout out: You are definitely wrong!  Commutative rings out of Atiyah’s text can have no identity!  I love this atmosphere, and I love living and learning with people who talk about mathematics or tales of mathematicians during meals so that I won’t feel lonely.  Now many of these friends of mine have gone to different top universities like Berkeley, Columbia, MIT, Stanford to continue their way to a mathematician, but we still keep in touch frequently to discuss what is new to us.  Mathematics keeps us soulmates, and I really wish I can join a group like that again. 

 

In this essay, I am asked to show how my personal background informs my decision to pursue a graduate degree. But my reason is quite simple, that is, I want mathematics to be my career all my life, and I want to do this among the most enthusiastic group in the world.  With clear awareness that to be a mathematician requires much of my time and efforts, I still wish I could do this with my heart and soul, because I have struggled across so many barriers in my way, and because, basically, I love mathematics. 

 

May I stop here with:

 

I shall defend the true science in a manly way, extend and embellish it, not for gain’s sake nor a vain shine of glory, in order that the light of God’s truth, shine bright and expand.

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责任

Posted by mathwww on December 18, 2006

当被说我是一个对女孩子完全没有责任感的人的时候,我只是觉得伤心和自责。但今天,和liuy 同学聊天的时候,我蓦然发现,我根本没有弄清楚什么叫做对女孩子的责任。我知道和一个女孩子在一起的时候,应该给她快乐,应该对她好,应该爱她,但是这都只是“应该”。对于我来说,“应该”的东西就是我会努力去做,当我能做到那就做,做不到,会觉得很可惜,但那也就可惜了。但是,责任,小一点,就像我们的TA job,you are paid to do that!!!!!  这是责任! 当一个女孩子把自己付托给你的时候,给她快乐,对她好,爱她,you are paid to do that!!!!! 当一个女生paid you with her life,这些事情都是责任,都必须做到。我考虑问题的时候会想我要以后都和她一起,会不会有什么问题什么问题,这样我们会怎么怎么矛盾,会想着这样可能难以维持;但是如果说承认和一个自己认为值得的女孩子一起,承担和解决这些矛盾就是责任,义务,对不同的人只是这些责任和义务不同而已,那只要我决心挑起这种责任,而且承认这就是一个我愿意承担的事情,我决心一定要做得到,那就行了。
 
我说自己是一个不懂得discipline 自己的人,我的instruction 都是flexible 的。但是我现在终于想明白了,接受一个女孩子,决定要和她一起,这不能是flexible 的。可惜太晚,太晚太晚了。

Posted in Uncategorized | 8 Comments »

教会

Posted by mathwww on December 18, 2006

今天去教会,看到一个很可爱的小mm。其实之前也见过这小mm,那时她还不会走路,一天要老妈抱着,每次看见她用Adian 的话就是感觉呆滞的样子(不过穿着很不错,皮肤也很好很白皙,en)。几个星期没见,小姑娘今天已经满场跑了,这里摸摸,那里找找,脸上不再是呆滞,代之的是只属于孩子的那种纯纯而幸福的笑容。我们指着圣诞树问她是什么颜色,她说“green”;拿着一个小红球问她,她说“red“。我们指着圣诞树说“绿色”的时候她也能学着说“绿色”,但当我们教她用香港话说“绿色”的时候,她一脸茫然,好像很不好意思地看着我们。我又重复几次以后,她就带着那不好意思的笑跑开了。

她很喜欢和别人玩,我猜就和你小时候一样,拿着两根那种“J”形的candy 送给我。我拿了一根,勾住她手上的另一根,就带着她走。小姑娘第一次这样耍,很开心的样子,紧紧地抓住手上的candy 和我一起走,脸上笑开了花,但是我却差点在大家面前哭了出来。这时候一个黑人小男孩,也是差不多大,在爸爸的陪同下来跟小女孩打招呼。小男孩扑哧扑哧地跑过来,就去抓小女孩的头,还连抓了两下,他爸爸连忙拿开他。这时候,我看见的是小女孩从未有过的眼神。她呆呆地看着那个因为伤害她而被带走黑人小孩,看了很久,脸上不知道是愤怒,仇恨,还是惊愕,伤心。此时我的眼泪已经无法抑止地掉在地上。

也许小男孩也是发自内心喜欢这个小女孩的(不是说那种哦),也并不想伤害这个女孩,但是他的懵懂给女孩留下的,只有伤害。但是我也知道,当他们都长大的时候,小男孩会学会喜欢就是珍惜的道理,而小女孩也会找到珍惜自己的人,也不会再记恨小男孩。尽管这不再是他们之间的事,童年的邂逅,只是成熟的过程。也许我母亲说得对,我现在根本没有资格去给女孩子什么承诺。等到我有能力去担起一个女孩的期望的时候,也许我已经忘记了很多很多。

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耶和华闻那馨香之气,就心里说,我不再因人的缘故咒诅地(人从小时心里怀着恶念),也不再按着我才行的,灭各种的活物了。

Posted by mathwww on December 17, 2006

8:13    到 挪 亚 六 百 零 一 岁 , 正 月 初 一 日 , 地 上 的 水 都 干 了 。 挪 亚 撤 去 方 舟 的 盖 观 看 , 便 见 地 面 上 干 了 。
8:14    到 了 二 月 二 十 七 日 , 地 就 都 干 了 。
8:15    神 对 挪 亚 说 ,
8:16    你 和 你 的 妻 子 , 儿 子 , 儿 妇 都 可 以 出 方 舟 。
8:17    在 你 那 里 凡 有 血 肉 的 活 物 , 就 是 飞 鸟 , 牲 畜 , 和 一 切 爬 在 地 上 的 昆 虫 , 都 要 带 出 来 , 叫 它 在 地 上 多 多 滋 生 , 大 大 兴 旺 。
8:18    于 是 挪 亚 和 他 的 妻 子 , 儿 子 , 儿 妇 , 都 出 来 了 。
8:19    一 切 走 兽 , 昆 虫 , 飞 鸟 , 和 地 上 所 有 的 动 物 , 各 从 其 类 , 也 都 出 了 方 舟 。
8:20    挪 亚 为 耶 和 华 筑 了 一 座 坛 , 拿 各 类 洁 净 的 牲 畜 , 飞 鸟 献 在 坛 上 为 燔 祭 。
8:21    耶 和 华 闻 那 馨 香 之 气 , 就 心 里 说 , 我 不 再 因 人 的 缘 故 咒 诅 地 ( 人 从 小 时 心 里 怀 着 恶 念 ) , 也 不 再 按 着 我 才 行 的 , 灭 各 种 的 活 物 了 。
8:22    地 还 存 留 的 时 候 , 稼 穑 , 寒 暑 , 冬 夏 , 昼 夜 就 永 不 停 息 了 。

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诺亚方舟

Posted by mathwww on December 13, 2006

  1. 当人在世上多起来,又生女儿的时候,
  2. 神的儿子们看见人的女子美貌,就随意挑选,娶来为妻。
  3. 耶和华说,人既属乎血气,我的灵就不永远住在他里面。然而他的日子还可到一百二十年。
  4. 那时候有伟人在地上,后来神的儿子们和人的女子们交合生子,那就是上古英武有名的人。
  5. 耶和华见人在地上罪恶很大,终日所思想的尽都是恶。
  1. 耶和华就后悔造人在地上,心中忧伤。
  2. 耶和华说,我要将所造的人和走兽,并昆虫,以及空中的飞鸟,都从地上除灭,因为我造他们后悔了。
  3. 惟有挪亚在耶和华眼前蒙恩。
  4. 挪亚的后代记在下面。挪亚是个义人,在当时的世代是个完全人。挪亚与神同行。
  5. 挪亚生了三个儿子,就是闪,含,雅弗。
  1. 世界在神面前败坏,地上满了强暴。
  2. 神观看世界,见是败坏了。凡有血气的人,在地上都败坏了行为。
  3. 神就对挪亚说,凡有血气的人,他的尽头已经来到我面前。因为地上满了他们的强暴,我要把他们和地一并毁灭。
  4. 你要用歌斐木造一只方舟,分一间一间地造,里外抹上松香。
  5. 方舟的造法乃是这样,要长三百肘,宽五十肘,高三十肘。
  1. 方舟上边要留透光处,高一肘。方舟的门要开在旁边。方舟要分上,中,下三层。
  2. 看哪!我要使洪水泛滥在地上,毁灭天下。凡地上有血肉,有气息的活物,无一不死。
  3. 我却要与你立约,你同你的妻,与儿子,儿妇,都要进入方舟。
  4. 凡有血肉的活物,每样两个,一公一母,你要带进方舟,好在你那里保全生命。
  5. 飞鸟各从其类,牲畜各从其类,地上的昆虫各从其类。每样两个,要到你那里,好保全生命。
  1. 你要拿各样食物积蓄起来,好作你和它们的食物。
  2. 挪亚就这样行。凡神所吩咐的,他都照样行了。
  1. 耶和华对挪亚说,你和你的全家都要进入方舟,因为在这世代中,我见你在我面前是义人。
  2. 凡洁净的畜类,你要带七公七母。不洁净的畜类,你要带一公一母。
  3. 空中的飞鸟,也要带七公七母,可以留种,活在全地上。
  4. 因为再过七天,我要降雨在地上四十昼夜,把我所造的各种活物,都从地上除灭。
  5. 挪亚就遵着耶和华所吩咐的行了。
  1. 当洪水泛滥在地上的时候,挪亚整六百岁。
  2. 挪亚就同他的妻和儿子,儿妇,都进入方舟,躲避洪水。
  3. 洁净的畜类和不洁净的畜类,飞鸟并地上一切的昆虫,
  4. 都是一对一对的,有公有母,到挪亚那里进入方舟,正如神所吩咐挪亚的。
  5. 过了那七天,洪水泛滥在地上。
  1. 当挪亚六百岁,二月十七日那一天,大渊的泉源都裂开了,天上的窗户也敞开了。
  2. 四十昼夜降大雨在地上。
  3. 正当那日,挪亚和他三个儿子闪,含,雅弗,并挪亚的妻子和三个儿妇,都进入方舟。
  4. 他们和百兽,各从其类。一切牲畜,各从其类。爬在地上的昆虫,各从其类。一切禽鸟,各从其类。都进入方舟。
  5. 凡有血肉,有气息的活物,都一对一对的到挪亚那里,进入方舟。
  1. 凡有血肉进入方舟的,都是有公有母,正如神所吩咐挪亚的。耶和华就把他关在方舟里头。
  2. 洪水泛滥在地上四十天,水往上长,把方舟从地上漂起。
  3. 水势浩大,在地上大大地往上长,方舟在水面上漂来漂去。
  4. 水势在地上极其浩大,天下的高山都淹没了。
  5. 水势比山高过十五肘,山岭都淹没了。
  1. 凡在地上有血肉的动物,就是飞鸟,牲畜,走兽,和爬在地上的昆虫,以及所有的人都死了。
  2. 凡在旱地上,鼻孔有气息的生灵都死了。
  3. 凡地上各类的活物,连人带牲畜,昆虫,以及空中的飞鸟,都从地上除灭了,只留下挪亚和那些与他同在方舟里的。
  4. 水势浩大,在地上共一百五十天。

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混乱的日子

Posted by mathwww on December 11, 2006

几个月来分分合合,做尽了以前自己觉得可笑的事,也学到很多以前不知道的东西。像是做了一场梦,又或者根本就还没有醒来。爱与痛的感觉都开始麻木,也分不清楚。分手的一刻,我们都竟仿佛没有任何痛楚;破镜重圆之时,也感觉不到我们的兴奋。最真实而反复地感觉到“不懂得去珍惜”。也许我真的还没有长大,不知道什么叫鱼与熊掌。“伤害了一个人,又不能一心一意地对下一个,心里还为她心痛,那样对所有人都很残忍,伤害了别人,也伤害了自己”,我大概只是无法接受我是这样愚蠢的一个人。
不去违背自己的坚持才能无憾,可能是吧。当我还没有谈过恋爱之前,当我疯狂地追求我第一个喜欢的女孩子的时候,我心中也有着一个对爱情执着的信念。只要两个人开开心心地在一起做喜欢做的事情,那就够了。彼此心无旁骛地相爱着,关心着,就像过家家一样单纯地相处,爱得没有任何外力可以分开,深深地相信真爱无敌,可以为自己的她不顾一切。对于我,还会觉得沉醉于所爱的人会是和沉醉于数学一样地幸福,一样地浪漫。
到现在,我还有资格这样想吗?我期待的东西也许是一样的,心里却载满了疲惫。我不知道,是不是只是我没有经营这样的爱情的心态,还是一份这样的爱情就是可遇不可求。第一次Friendship dinner 以后,我在家里号啕大哭,把签名档改成 I hate this world. 我生命中的她总是在最不适合的时候出现,也许这就注定了一些不能逆转的东西,让我始终无法全情投入。即使再计算,也算不过天意如此,也算不赢自己。选择,不过是从两种伤心里选出一种;相濡以沫,还是相忘于江湖,都抹不去泉中嬉戏时深深刻在心中的痕迹。既然无法强求,那不如随波逐流,让命运去牵引,不再自以为是地去做一些决定。好好地对待和欣赏,好好地爱陪伴着自己走的人,好好地经营一份我心中的爱情。即使我们前面只有一小段路去走,即使我们只有一小段穿指而过的时间去经营,也要去好好地珍惜,顷尽全力地爱。
仅以此不知所云之文,还有我的眼泪,祭奠一个童话,或是一份蒸发的纯真。

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Tattenai’s Letter to Darius

Posted by mathwww on December 7, 2006

  1. The report they sent him read as follows: To King Darius: Cordial greetings.
  2. The king should know that we went to the district of Judah, to the temple of the great God. The people are building it with large stones and placing the timbers in the walls. The work is being carried on with diligence and is making rapid progress under their direction.
  3. We questioned the elders and asked them, "Who authorized you to rebuild this temple and restore this structure?"
  4. We also asked them their names, so that we could write down the names of their leaders for your information.
  1. This is the answer they gave us: "We are the servants of the God of heaven and earth, and we are rebuilding the temple that was built many years ago, one that a great king of Israel built and finished.
  2. But because our fathers angered the God of heaven, he handed them over to Nebuchadnezzar the Chaldean, king of Babylon, who destroyed this temple and deported the people to Babylon.
  3. "However, in the first year of Cyrus king of Babylon, King Cyrus issued a decree to rebuild this house of God.
  4. He even removed from the temple of Babylon the gold and silver articles of the house of God, which Nebuchadnezzar had taken from the temple in Jerusalem and brought to the temple in Babylon. "Then King Cyrus gave them to a man named Sheshbazzar, whom he had appointed governor,
  5. and he told him, ‘Take these articles and go and deposit them in the temple in Jerusalem. And rebuild the house of God on its site.’
  1. So this Sheshbazzar came and laid the foundations of the house of God in Jerusalem. From that day to the present it has been under construction but is not yet finished."
  2. Now if it pleases the king, let a search be made in the royal archives of Babylon to see if King Cyrus did in fact issue a decree to rebuild this house of God in Jerusalem. Then let the king send us his decision in this matter.

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