印度四姓中 最高级种姓 祭司和学者的阶级
拉马努金的家族之神
以下三位都是英国数学家 主要研究代数几何 且都在剑桥
英国国会选区
欧洲的东南隅位于亚得里亚海和黑海之间的陆地 控制着通往印度洋的航路
哈代和利特尔伍德利用广义黎曼猜想 从技术上验证了哥德巴赫猜想
弗朗西斯·培根 英国文艺复兴时期散文家、哲学家
英国哲学家
是保罗写给各地主教 以及来信询问教义的人的回信 信中解释了许多有关基督教教义的疑难问题 阐明了教理原则 是基督教的重要文件
英国文学史上最伟大的六大诗人之一 代表作《失乐园》与荷马的《荷马史诗》、阿利盖利·但丁的《神曲》并称为西方三大诗歌
中世纪手绘图画圣经的杰作 属于圣经画册 成书时全由图画组成 没有文字
此书是指《自然哲学的数学原理》 《数学原理》是罗素与其老师怀特海合著
高合成数 S.拉马努金先生
反民主管理联盟会议将在学院内举行
法国数学家 很多数学的定理和公式也都以他的名字来称呼 如柯西不等式、柯西积分公式
牛顿 世界上最聪明的人
真正地理解数学 它不仅象征着真理 还有无尽的魅力
伯特兰·罗素
根据真实事件改编
三一学院
英国 剑桥 1920年
印度 马德拉斯
1914年
邮局
查纳尔·莱恩 诊所
最棒的马戏团
伦敦大都会铁路
电报间
一年后
在1976年 一本"遗漏的笔记本"被发现 里面包含着在其生命的最后一年里 拉马努金所发现的突破性新公式
其重要性可以和贝多芬的第十交响曲相媲美
一个世纪后 这些公式被用于解释黑洞的奥秘
拉马努金在回国途中病情复发 在和妻子贾纳姬相聚一年后去世 享年32岁
按照印度的习俗 贾纳姬一直没有再婚
哈代和利特尔伍德一直继续合作
他们在有生之年里 共同取得的巨大成就 鼓舞和影响着一代又一代的数学家们
深影字幕组
倾情呈现
翻译 大驴子 微光
翻译 来日悲欢 Roshan
翻译 谢天地 Penelope
戴夫·帕特尔
杰瑞米·艾恩斯
时间轴 不突突杏仁 Yi
特效 Yatamisaki
压制 Yatamisaki
校对 Yatamisaki
知无涯者
我必须构建我自己 I have to form myself,
因为我从未真正构建过 as I have never really formed before,
并且 我试着为你们构建一个 and try to help you to form some sort of reasoned estimate
在近代数学史中 of the most romantic figure
某个推测合理的 最浪漫的形象 in the recent history of mathematics.
拉马努金是个印度人 Ramanujan was an Indian,
我想 对于英国人和 and I suppose that it is always a little difficult
印度人而言 for an Englishman and an Indian
要互相理解并非易事 to understand one another properly.
在这世上 我欠他的最多 I owe more to him than to anyone else in the world,
我和他的交集 and my association with
是我一生中的一段浪漫插曲 him is the one romantic incident of my life.
某种程度上说 他是我的一个发现 He was, in a way, my discovery.
他不是我创造的 I did not invent him.
像其他伟人一样 他创造了自己 Like other great men, he invented himself.
让我很为难的是 The difficulty for me, then,
不是我不够了解他 is not that I do not know enough about him,
而是我的所知 所感太多了 but that I know and feel too much.
你也知道 我一直在 You can also see I've been conducting
做自己的数学研究 my own mathematical researches.
你没有学位 我们不能雇你 You've no degree. You're unemployable.
我会给你写封推荐信 也许有人... I'll write you a recommendation. Maybe someone...
恕我直言 先生 我不缺推荐信 With all due respect, sir, I have recommendations.
我需要的是份工作 What I need is a job.
求您了 我还有妻室 Please. I have a wife.
你们这些人都一个德性 You people are all the same.
走吧 现在就走 Now get out. Now!
我的命运和伽利略一样 I'm doomed, like Galileo.
他也是死于贫困 He died in poverty, you know.
至少你还有尊严 At least you hold yourself in good esteem.
一切都已经有了定数 Whatever is written in your fate will happen.
你没法改变它 You can't change that.
我的命运是 妻子现在和我妈住一起 My fate is to have a wife who lives with my mother
而我却和你睡在这儿 while I sleep here with you all because
因为英国佬认为我是个瞎说的疯子 the British think I'm a raving lunatic.
印度人也这么觉得 As do we Indians.
你在哪里拿的学位 Where did you get your degree?
我没有学位 I don't have one.
- 你上过学吗 - 一个也没有 - How many do you have? - None.
- 你还给哪些人看了这个 - 所有人 - Who else have you shown this to? - Everyone.
英国人 印度人 他们都让我找别人 The British. The Indians. They all send me to someone else.
我可以给你份工作 I can offer you a job,
但你晚上得来 but your evenings will have
帮我弄懂这个 to be spent in helping me understand this.
一份工作 A job?
- 这条件你同意了吗 - 是的 - Do we have an agreement? - Yes.
- 非常肯定 先生 - 很好 - Most certainly, sir. - Good.
把你妻子叫来 你们可以住一起了 Send for your wife so you can be together.
穿上这个 And put this on.
跟我来 Follow me.
弗朗西斯先生 这是今天的总账本 Sir Francis, here are today's ledgers.
以及我们的新员工 And our new clerk.
纳拉亚那 你跟了我多长时间 Narayana, how long have you worked for me?
从我参与设计戈达瓦里桥开始 Since I helped to design the bridge on the Godavari,
所以我现在称您为"先生" which now requires me to call you "sir".
弗朗西斯先生 Sir Francis.
这人看起来就像个流浪汉 This man looks as if he lives on the streets.
- 让他出去 - 先生 求您了 - Get him out of here. - Sir, please.
我虽然看起来不太体面 Forgive my appearance,
但我对数字的感觉 真的异于常人 but I really am quite exceptional with numbers.
您可能现在看我平淡无奇 What you might see now is ordinary glass,
但我保证 很快您能看到我熠熠生辉 I promise you will soon remain to see a diamond.
噢... Well...
你做的账目最好有你的信心一半漂亮 Your accounts had better be half as polished as your ego.
妈 到了 Amma, this is it.
这房子是我目前的极限了 It's the best I could do for now.
这是个家 It's a home.
请 Please.
厨房在哪 Where is the kitchen?
在里面 It's inside.
还是婚礼上的 From the wedding.
别担心 我打地铺 Don't worry. I will sleep on the floor.
我习惯了 I'm used to it.
我现在得回去工作了 I have to go back to work now.
你为什么不用算盘 Why aren't you using the abacus?
我大脑算得更快 It was faster in my head.
很厉害啊 Impressive.
弗朗西斯先生在这里 至少会假装用用算盘 If Sir Francis comes here, at least pretend to use this.
我知道你一直在研究自己的公式 I see you've been working on your own formulas.
在这里 纸可不便宜 Paper is a precious commodity here.
不过在码头上 你可以找到许多麻袋装的纸 You'll find plenty of packing down at the docks.
谢谢您 先生 Thank you, sir.
晚上见 See you tonight.
拉马努金 Ramanujan,
我们要找一个 we need to seek an audience
能真正理解这些的人 with someone who really understands all this.
马德拉斯市的每个人都看过 I've been to everyone in Madras.
马德拉斯市 Madras.
你知道这个名字是来源于"Mandarajya"吗 Did you know that the name derives from Mandarajya?
"愚昧之邦" "The realm of the stupid."
外面还有个大世界 There's a whole world out there.
有英格兰 And there's England.
你没回家 You don't come home.
我很抱歉 把他留到现在 It is I who owe the apology for keeping him.
今晚就到这吧 拉马努金 I think it's enough for tonight, Ramanujan.
抱歉 I'm sorry.
我听说比起人 你更喜欢数字 I was told you love numbers more than people.
一些人 Some.
不包括你 Not you.
也许我们可以重新开始 Perhaps we can start over.
我是拉马努金 I am Ramanujan.
我是你的妻子 And I am your wife.
看吧 随便看 Go ahead. You can look.
请 Please.
这些都有什么用 What does it all do?
它们就像幅画 It's like a painting, I think.
想像成 一幅看不见颜色的画 Only imagine it is with colors you cannot see.
那有什么用呢 What good is that?
对你来说可能不好看 但对我来说这就是一切 Not much for you, I'm afraid. But for me it is everything.
也许会有其他人 他们也能看到 Maybe there is someone else who can
并理解它们 see and understand it as well.
对他们来说 这个会很重要 And for them it will be important.
你遇到他们了吗 Have you met them?
没 还没有 No. Not yet.
除了看不到的颜色 我还想了解更多 I want to understand more than just colors I can't see.
你看到了什么 What do you see?
- 沙 - 是的 - Sand. - Yes.
想像下 如果凑近看 可以看到每颗砂砾 Imagine, if we could look so closely, we could see each grain,
一颗一颗 each particle.
想想看 万事万物都有规可循 You see, there are... There are patterns in everything.
光里的颜色 The color in light.
水面的反射 The reflections on water.
在数学中 这些规律以不可思议的 In maths, these patterns reveal themselves
形式展现出来 in the most incredible form.
真的非常美 It's quite beautiful.
你该到床上来睡 You should sleep in the bed.
妈 Amma.
我和老板成了好朋友 I have made a friend in my boss.
他想在马德拉斯市以外 He's going to find somebody
找到能看懂那些数字的人 to understand my work outside Madras.
在印度以外 Outside India.
真是荣幸 That is an honor.
你在胡说什么 What nonsense are you talking?
妈 他看到了我的价值 Amma, he sees something in me.
他肯定看得够多的 你都不回家 He surely sees enough of you. You're never here at home.
坎纳 我们是婆罗门 Kanna, we are Brahmins.
是不允许横越大海的 It is forbidden to cross the seas.
拉马努金 Ramanujan?
拉马努金 听我说 Ramanujan, listen to me.
这些成果非常重要 不该就这样埋没 This work is too important to die with you.
它必须被公之于众 It must be published.
如果你一个印度人 If you, an Indian,
利用这些数学公式走到了顶峰 are at the pinnacle with these formulas,
那即便是征服了我们的英国人 then the British, even while they subjugate us,
也必须承认 我们的智慧能与他们匹敌 must recognize that our brightest matches theirs.
安娜 求你了 Anna, please.
我去不了 I can't.
你这些成果 活到现在只有你自己明白 You have been alone in your mind your whole life.
现在人们有机会了解你了 Now other people have the chance to understand you.
不是只有你的纳马吉里 Not just your Namagiri.
想想吧 Imagine.
我做的一切都是想象 All I do is imagine.
首先的两封信给... These first two letters...
贝克 Baker.
霍布森 Hobson.
这是谁 And who's this?
那个是哈代 他是真的很厉害 Oh, that's, er... That's Hardy. He's a real pot stirrer.
他凭一己之力改革了 You know, he single-handedly reformed
剑桥荣誉学位考核制度 the entire Tripos examination system.
改写了持续百年的历史 Turned over hundreds of years of history.
他是你们要找的人 He's your man.
三一学院啊 Trinity, eh?
校友都是国王啊 首相啊 Kings, prime ministers.
艾萨克·牛顿 拜伦 Isaac Newton. Byron.
现在还可能是你 Now perhaps even you.
欧洲大陆这边有什么新闻吗 Trouble on the Continent?
就快有了 There will be.
我们在特威克纳姆以一分之差战胜了法国佬 We beat the Frogs by a goal at Twickenham.
我是指巴尔干半岛 I meant in the Balkans.
啊 巴尔干半岛啊 Ah, the Balkans.
你好像收到了一封从那寄来的信 You've got one there seems particularly well traveled.
你觉得这又是一场恶作剧吗 Do you think it's another hoax?
"请允许我介绍一下自己 "I beg to introduce myself
我是一名会计部的职员" as a clerk in the Accounts Department."
- 这次又是什么 - 真是令人印象深刻 - What this time? - Quite impressive, really.
有人真是不怕麻烦啊 Someone's gone to a lot of trouble.
一个印度职员 A Hindu clerk!
声称自己可以证明 And who claims he can give meaning
伽玛函数的负值有意义 to the negative values of the gamma function.
- 又是利特尔伍德吗 - 肯定啊 - Littlewood? - Without doubt.
你知道吗 利特尔伍德 You know, Littlewood,
单单这一年 我就收到过 this year alone, I've received correspondence
很多信件 from those who profess
声称证明了金字塔寓言之谜 to prove the prophetic wisdom of the Pyramids,
犹太人贤士议定书的启示 the revelations of the Elders of Zion,
以及培根可能是 and the cryptograms, which Bacon supposedly buried
莎士比亚的枪手之谜 within the plays of the so-called Shakespeare.
可一位来自马德拉斯 没接受过教育的印度职工 But a letter from an ill-educated Indian clerk in Madras,
写信挑战我对连续级数的见解 challenging assertions I made in the tracts series,
真令人吃惊 really takes the biscuit.
这我得插一句 我有过相同的见解 Well, I have to say, I've made similar assertions myself.
那你就是承认了吗 So you admit it?
但这都是三年前的事了 But this was three years ago.
不 不 不 我是在说那封信 No, no, no. I'm talking about the letter.
写得真精彩啊 Bloody brilliant, I thought.
我不知道你怎么搞到邮戳的 I don't know where you got the postmark.
差点就骗到我了 Almost had me fooled.
我不知道你在说什么 I simply don't know what you're talking about.
别这样 我又不傻 Oh, come on. I'm not a complete idiot.
我不知道怎么和你这个蠢货说清楚 I don't know how to get this into your thick skull,
但无论你在说什么 but whatever it is you're talking about,
都和我没关系 I'm simply not involved.
打球 Play.
先生 Sir.
你错过了晚餐 You've missed Hall.
不饿 Not hungry.
我要告诉你们 战争肯定要来临了 I tell you, there is a war coming, no doubt about it.
因为我们的领导者愚蠢 懦弱 胆小 Because we are being led like mindless, spineless sheep
而且没有人愿意提出这一点来 and no one bothers to question any of it.
战争就要来了 真的 一触即发 It's coming, all right. You can smell it.
你和哈迪一样偏执 You're as paranoid as Hardy.
恕我直言 伯蒂 你都没法和我们比 With all due respect, Bertie, you couldn't hold a candle.
利特尔伍德 能借一步说话吗 Littlewood, could I have a word?
当然可以 Yes, of course.
积分 Integrals.
无穷级数 Infinite series.
上帝才知道还有什么 God knows what else.
不好意思 Oh, excuse me.
我老忘记你是无神论者 I always forget you don't believe in a supreme being.
没错 Right.
如果这个小伙子的证明是正确的 If this chap turns out to be genuine,
你可能得重新思考了 you might have to reconsider.
他肯定是对的 He must be genuine.
谁会有发现这些的想象力呢 Who would have the imagination to invent all that?
你之前觉得是我 真让我受宠若惊 Well, I'm rather flattered you thought I did.
这两个无穷级数更有趣 These two infinite series are the more intriguing.
没错 他们完全战胜了我 Yeah. They defeated me completely.
我从来没见过这些 I've never seen anything like them.
这很让人困惑 Well, it's deceptive.
我倒是会压这个超几何级数 I'll wager the hypergeometric series.
我们伟大的利特尔伍德被难住了 Our great Littlewood, stumped.
他可是霍布斯级的 He's Hobbs class, I'd say.
"因为毫无经验 "Being inexperienced,
我非常重视您给我的意见 I would very highly value any advice you give me.
此致 S.拉马努金" Yours truly, S. Ramanujan."
这个S代表什么 What does the "S" Stand for?
你可以亲自问他 You can ask him yourself.
你打算邀请他来这吗 You intend to invite him here?
不 不 不 Well, no, no, no, no, no.
让他在马德拉斯的办公室终老不是更好吗 Much better, let him rot away in his office in Madras, hmm?
啊 拉马努金先生 Ah, Mr. Ramanujan.
好像有你的一封信 There seems to be a letter for you.
邮戳上是英国剑桥大学 Postmarked England. Cambridge, England.
来自G.H.哈代先生 From a Mr. G. H. Hardy.
我以前常来这边看船出海 I used to come here and watch the boats leaving.
我总是在想 成为其中一员会是什么样子 I always wondered what it would be like to be on one of them.
我都到这来了 你却说要出海 I'm finally here and you talk of crossing the sea?
我们是不允许出海的 It is forbidden for us.
我不明白 I don't understand.
如果你走了 一切都会变的 If you go, it will never be the same.
这里不是加尔各答或孟买 This is not Calcutta or Bombay.
没人会娶我们的孩子 甚至没人会和我们说话 No one will marry our children. No one will even talk to us!
那我们就搬去加尔各答或孟买 Then we will move to Calcutta or Bombay.
再说 除了你 我不想和任何人说话 Besides, I don't want to talk to anyone but you.
你答应我 只要你有能力了 就来接我 Do you promise to bring me as soon as you are able?
好的 Yes.
那我们就这么办吧 Then that is what we will do.
你确定想让我剪吗 Are you sure you want me to do it?
剪吧 Cut it.
你剪掉了头发 You cut your hair.
你做了什么 What have you done?
妈妈 我决定去英国 Amma, I've decided to go to England.
你自己想去 Did you?
还是她劝你去的 Or did she convince you?
所以你们要一起走吗 So that both of you could run away together? Huh?
这都是她干的好事吗 This is all her doing.
她想一个人霸占你 She wants you all to herself.
我走了之后 你们要互相照顾 Please look after each other while I'm gone.
别忘了祈祷 Never forget your prayers.
如果你还想回来的话 You cannot pollute yourself with their food,
就别被他们的食物玷污了 if you ever want to come back.
别忘了我 Don't forget me.
我绝不会的 I could never.
我发誓 I promise.
好了 我们走吧 Well, off we go.
六千英里 你敢想吗 6,000 miles. Can you imagine?
我知道更大的数 I've known larger numbers.
别让这新闻毁了你和那个印度人见面的日子 Don't let it ruin your big day with Gunga Din.
我知道这肯定不会爆发战争 I'm sure it won't mean war.
到处都是这种破新闻 All this Din, Din, Din.
你是拉马努金吗 真巧啊 Are you Ramanujan, by chance?
非常巧 Very much by chance.
你好 不好意思 Hello. Sorry.
我是约翰·利特尔伍德 很荣幸见到你 John Littlewood. Such a pleasure.
我正准备去见你 I was just on my way to meet you.
要不一起吧 Well, shall we go together?
没错 Yes.
意料之中 The intended effect.
别被吓到了 Don't be intimidated.
伟大的学识总是来源于微小的发现 Great knowledge often comes from the humblest of origins.
这边请 Come along.
你看到那棵树了吗 You see that sapling?
牛顿就是坐在那棵树下面 That's the very tree under which Newton sat,
一个苹果掉在他的头上 when the apple dropped on his head
然后他发现了万有引力 and he invented gravity.
这边请 我们已经期待你好久了 This way. We've been anticipating your arrival for some time.
这简直就是犯罪 Well, I think it's criminal.
我们花了很多钱 I mean, we bring these Indians over
请一个印度人过来 看看都发生了什么 at great expense and look what happens.
好吧 这个叫拉金还是什么的小伙子 Yeah, well, it's not just that this chap is Ramjin,
和他是印度人没关系吧 whatever his name is, is Indian.
毕竟 我们有很多印度学生的 After all, we do have Indian students here.
没受过教育的还是第一个 Just not ones with no education to speak of.
真丢脸 It's a disgrace.
拉马努金是一个特例 Ramanujan is a special case.
凭什么呢 Uh, why is that, exactly?
我们都读了他的信 We've all read his letter.
都没有证据 There are no proofs.
我们就要相信他说的话了吗 Are we just supposed to take him at his word?
不 No.
你要相信我的话 You're to take him at mine.
先生们 改变 Change, gentlemen.
是一件美好的事 大胆面对吧 It's a wonderful thing. Embrace it.
安静是尊重的标志 Take it as a sign of respect to quieten this lot.
哈代先生在这里吗 Is Mr. Hardy here?
能见到他真是太激动了 I'm most excited to meet him.
他一定是个善良的人 才会邀请我过来 He must be a very kind man to bring me all this way.
说曹操曹操就到 Ah. Speak of the devil.
你好 Hello.
我是哈代 I'm Hardy.
欢迎来到三一学院 拉马努金先生 Welcome to Trinity, Mr. Ramanujan.
我的发音正确吗 Am I pronouncing that properly?
可以的 Yes, sir.
很完美 Perfectly.
很荣幸 先生 It's an honor, sir.
谢谢 Thank you.
我非常期待开始我们的工作 I very much look forward to beginning our work.
那么 明早十点 在我办公室 不见不散 So, tomorrow, 10:00, my rooms. I look forward to it.
我说错话了么 Did I say something wrong?
别担心 Don't worry.
你跟着我就好了 I'll look out for you.
前提是你得相信他真的存在 That's if you believe he actually exists.
有人猜测 利特尔伍德先生是 You see, there's speculation that Mr. Littlewood here
哈代凭空想象出来的 is merely a figment of Hardy's imagination.
如果他出差错了 也会怪别人 If he ever makes a mistake, he'll have someone else to blame.
拉马努金 伯特兰·罗素 Ramanujan, Bertrand Russell.
欢迎来到我们这小避难所 Welcome to our little asylum.
你好 Hello.
走吧 Come along, come along.
别踩草坪 Get off the grass!
只有院士才能踩 It's for Fellows only!
不好意思 先生 你能告诉我怎么去新庭院吗 Excuse me, sir. Could you direct me to New Court?
- 找哈代先生 - 走那儿 - To Mr. Hardy - Through there.
你额头上有东西 You have something on your forehead.
谢谢 Oh. Thank you.
那种鞋子有些磨脚 The shoes, they hurt my feet.
抱歉我迟到了 Sorry I'm late.
你看 你确实存在 You see, you do exist.
对 Yes.
对了 Right.
拉马努金 我们决定为了大家着想 Ramanujan, we've decided that for the good of everybody
你应该去听些课 you should attend some lectures.
但我来这是为了公之于众的 But I'm here to publish.
对 等到合适的时间就行 Yes. All in good time, I hope.
但首先 我们需要你证明自己的成果 But first we need proofs of your work.
没什么好担心的 It's really nothing to worry about.
这就是走个过场 It's simply a question of
让大家更形式化地了解你 acquainting you with the more formal methods
这样有利于未来的合作 that will benefit our future work together.
我们需要用通用语言 I mean, we need a common language.
你不会希望我们用泰米尔语交谈吧 You wouldn't expect us to converse with you in Tamil.
不 但你们希望我讲英语 No. But you expect me to speak English.
没错 Quite.
所以你会有充足的时间准备 So, there will be plenty of time for publishing.
抱歉 但恕我直言 别人怎么会知道呢 I'm sorry, but with all humility, how does anyone know that?
我不想要这些公式做我的陪葬品 I don't want this to die with me.
我保证不会的 I assure you it won't.
谢谢 先生 我还有更多的发现和您分享 Thank you, sir. But I have much more to share with you.
如我所说 As I told you,
这封信只包含了一小部分 the letter only contained a small sampling of my discoveries.
我甚至建立了一个函数 You'll see I have even found a function
恰好代表了 以无穷级数的形式代表的 which exactly represents the number of prime numbers less than X
小于X的质数 in the form of an infinite series.
- 是吗 - 是的 - Exactly? - Yes.
我想如果我们公布了 I thought if we were going to publish,
应该是里程碑式的发现 it should be something, uh, ground-breaking.
这 This is
完全没有料到 most unexpected.
哈代 这会耗尽一生啊 Hardy. This will take a lifetime.
或许两生 Maybe two.
看到你如此自鸣得意 It's quite alarming to
真是令人发怵啊 see you so thoroughly pleased with yourself.
跟这些笔记本没关系 对吧 Can't have anything to do with these notebooks, can it?
你大可花余生去证明这里面一半的公式 You could spend the rest of your life trying to prove half of it
那样你就不会有任何独创性发现了 and never have another original idea of your own.
伯蒂 Bertie.
如果用逻辑我能证明 If I could prove, by logic,
你将在五分钟内死去 that you are gonna die in five minutes,
我会很遗憾 I'd be sorry,
但在证明中得到的快乐 but my sorrow would be very much mitigated
会使我的悲伤减轻 by the pleasure in the proof.
也许你能得偿所愿 把半个欧洲搞得天翻地覆 Might get your wish granted with half the Continent up in flames
而老一派还是喜欢掌控一切 and old men like that running the show.
不 No.
不 你就是因为担心他会比你 No, you're just a bit sore because
先出现在上面 有点嫉妒罢了 you're worried he'll be up there before you are.
我感觉有个黑面孔将永远挂在墙上 Hmm, I doubt a dark face will ever grace these walls,
更别说成为院士了 let alone become a Fellow.
拉马努金 这里 Ramanujan! Over here!
来吧 坐我们旁边 Come over, sit with us.
欢迎来到食堂 Welcome to Hall.
- 我是钱德拉·马哈拉诺比斯 - 你好 - I'm Chandra Mahalanobis. - Hello.
这是安德鲁·哈特利 And this is Andrew Hartley.
我是拉马努金 I am Ramanujan.
大家都知道你的大名 伙计 Well, everyone knows who you are, mate.
听说你解出了素数定理 Word's out you've taken on the prime number theorem.
像他们邀请你来这种事 是很特殊的 It is quite extraordinary, them bringing you here like this.
是一种荣誉 Such an honor.
这有别的印度人么 There are other Indians?
有几个 你是来自南部的吗 A few. You're from the South?
我来自加尔各答 Calcutta myself.
让你吓了一跳吧 This must be quite a shock for you.
其实 你和他有很多共同点 Truth is, you've more in common than you think.
他父亲是老师 和三一学院没有一点关系 His father was a schoolteacher. Not exactly Trinity stock.
哈代完全是靠自己的努力 Hardy's earned it on his own merits.
或许这是他看好你的原因 It's probably why he's taken to you.
他有妻子吗 Does he have a wife?
没有 No.
用别人的话说 他娶了工作为妻 He's married to his work, as they say.
那现在等于你嫁给他了 I suppose that means you now.
别 他是素食者 Stop. He's a vegetarian.
很抱歉 Very sorry.
马铃薯 先生 Potatoes, sir.
有什么区别吗 是用猪油做的 How's that any better? The potatoes are cooked in lard.
- 我很抱歉 - 没事 - I'm so sorry. - Not at all.
但... 我该走了 But... But I think I will go.
不久之后见 I hope to see you soon.
拉马努金 Ramanujan.
你晚餐吃得好吗 Did you have a good dinner?
羊肉味道很好 They make a fine mutton.
是的 先生 Yes, sir.
很美味 Delicious.
那你的房间呢 And your... Your rooms?
满意吗 Satisfactory?
我希望你一切都好 I want everything to be to your advantage
这样我们的效率就能更高 so that we can be as productive as possible.
谢谢您 先生 Thank you, sir.
非常棒的论文 Very nice paper.
好... Well...
好好利用 Use it wisely.
那就晚安了 Well, I'll say good night, then.
好了 现在 All right. Now...
你在听讲么 You. Are you following this?
是的 先生 很激动 Yes, sir. Most excitedly.
但你什么笔记都没做 But you don't appear to be taking any notes.
你有什么想法要提的吗 Is there something you'd like to contribute?
那好 你来 Well, come on, then.
上来 Come on!
给你粉笔 You'll need the chalk.
但我还没有完全证明 But I... I hadn't completed that proof.
那你怎么知道的 How do you know?
我不知道 就这么写下来了 I don't know. I just do.
先生们 我们的时间到了 Well, gentlemen, it appears that our time is up.
谢谢你们的专注 Thank you for your attention.
除了你 Not you.
印度佬 你给我记住 Little wog, let me tell you something.
别在我的课上耍花招 You don't pull a stunt like that in my class.
你不属于这里 你可以去和哈代老师告状 You don't belong here and you can tell your Master Hardy
这话是我说的 现在 滚出去 I said as much! Now, get out!
我的圣神之绳 My sacred thread.
用来驱除邪恶的灵魂 It's to help ward off evil spirits.
和霍华德先生相处得怎么样 How did it work with Mr. Howard?
抱歉 先生 I'm sorry, sir.
我太激动了 I got too excited.
他的课上你别说话就行了 Not a word often associated with his lectures.
你是怎么知道这些定理的 How did you know that theorem?
就在我脑子里的 It came to me.
哈代先生 我不太明白为什么 Mr. Hardy, I don't understand why we waste our time
我们要浪费时间去证明 doing all these proofs.
我有这些公式 I have the formulas.
我能理解你的公式 It's not that I can't see what you've claimed.
只是不确定 你是如何得到这些结果 It's that I'm not sure that you know how you got there
换句话说 这些公式都是对的 or, indeed, that your claims are correct.
还有一些细节... There are subtleties which...
但这些都是对的 先生 But they are right, sir.
我还有更多的新想法 I have more important new ideas.
是 但光有直觉是不够的 必须做出解释 Yes, but intuition is not enough. It has to be held accountable.
谦虚一点对你会很有帮助 And a little humility would go a long way.
你觉得为什么他们不想我们成功呢 Why do you think they want us to fail?
因为我是印度人 Because I am Indian.
对 有这方面的原因 Well, yeah, there is that.
但还因为 我们和他们唱反调 But also because of what we represent.
欧拉和雅克比 他们是谁 Now, Euler and Jacobi. Who are they?
数学家 Mathematicians.
对你来说只是两个名字 Just names to you.
欧拉是十八世纪最高产的数学家 Euler was the most productive mathematician of the 18th century.
他的大部分成就都是失明后完成的 Most of his work done after he was blind.
雅克比 像你一样 出生卑微 Jacobi, like you, was snatched from obscurity,
却几乎和欧拉一样成就非凡 and was almost as impressive as Euler.
现在 我认为你和他们是一个层次的 Now, I think you are in their class.
他们和你有共同之处 有一种构建之爱 What they had in common, what I see in you, is a love of form.
透过你的笔记散发出来 It's all through your notebooks.
那我问问你 Let me ask you something.
你为什么要写这个 Why do you do it, any of this?
因为我看见它了 我必须写 Because I have to. I see it.
和欧拉一样 为了自己而构建 Like Euler. Form for its own sake.
为自己而造的艺术品 An art unto itself.
和所有的艺术品一样 它反映了真理 And, like all art, it reflects truth.
这就是我唯一信奉的真理 是我的圣殿 It's the only truth I know. It's my church.
而你 And you,
就像莫扎特 能在脑海中 just as Mozart could hear
呈现整篇交响乐章一样 an entire symphony in his head,
你永远在和数字共舞 you dance with numbers to infinity.
但想凭这支舞 这个艺术品 But this dance, this art,
让那些觉得我们只是在变戏法的人 does little to endear us to certain factions
开始欣赏我们 是不可能的 who see us as mere conjurors.
所以如果我们要想挑战 So if we are going to challenge areas of mathematics
前人尝试过多次的数学领域 that are so well trod,
就一点错都不能犯 we cannot afford to be wrong.
我希望你继续上课 不要冒犯你的老师 I need you to attend your lectures, don't offend your professors,
还要继续证明你的方程 and keep doing your proofs,
不然我们的尝试只有死路一条 otherwise this experiment of ours will be doomed to failure.
跟我来 Come with me.
我给你看些东西 I wanna show you something.
人这一生获得荣誉的方式有很多种 There are many ways to be honored in life.
对我们来说 被选为院士就是一种 For us, being elected a Fellow is certainly one,
但在我看来 but in my humble opinion
在我们离世之后 to leave a legacy,
能在莱恩图书馆里 here at the Wren
留下一笔遗产 after we're gone
才是最伟大的 is the greatest.
这里有《保罗书信》 This library houses the Epistles of Saint Paul,
米尔顿的诗文 the poems of Milton,
《摩根圣经》 Morgan's Bible.
但在我这个搞数学的看来 But in my estimation, as a man of numbers,
最重要的一部 还是牛顿的《数学原理》 the pièce de résistance is Newton's Principia Mathematica.
就像牛顿是我们领域的物质代表 Now, just as Newton represents the physical aspect of our work,
而你的笔记是抽象的代表 your notebooks represent the abstract.
牛顿也花了很长时间来证明自己 Took a long time for Newton to be proved.
因此我们才有义务要把这些证明出来 Which is why we have an obligation to prove these.
一旦我们成功了 我相信总有一天... And if we do, I believe that one day...
这些笔记在这里会有一席之地 One day these notebooks will find their place here.
现在 你明白我们的重点是什么了吧 Now, do you understand what's at stake here?
很好 Good.
我希望你能保重身体 I hope you are taking care of yourself
也希望哈代先生会好好待你 and that Mr. Hardy is good to you.
这里所有人都为你感到骄傲 Everyone here is so proud of you.
但最为你骄傲的还是我 But most proud of all is me.
我每天都在思念你 I spend every day missing you,
期待着你来信通知我 and waiting for your letter to tell me
可以漂洋过海 和你团聚 I'm coming to be with you across the ocean.
你就是我的一切 You are my everything.
我发现了一个新的级数 I've discovered a new series.
听着 我对新的级数没兴趣 Look, I'm not interested in a new series.
我已经解释过了 我要你的证明 I thought I'd explained this. I need your proofs.
我们说好了的 We had an agreement.
拜托 您看一下吧 都是真的 Just, please, look at it, sir. It is true.
你怎么知道 How do you know that?
因为我都写出来了 Because it is written.
写在哪里了 拉马努金 Written where, Ramanujan?
穿上我的外套回去吧 Now, take my coat, go home
多穿点衣服 别冻坏了 and get properly dressed before you freeze.
先生 我千辛万苦来到这里 Sir, I've come a very long way to be here.
您答应过我 会帮我公之于众的 And you promised to help me publish.
别这么看着我 这都是为他好 Don't look at me like that. It's for his own good.
看他这身打扮 真想不到他有这么聪明 You wouldn't think he's so bloody smart by the way he dresses.
不过 那到底是什么啊 What the devil is that, anyway?
拆分 Partitions.
不 等一下 No, no, no, wait.
这个连你都能明白 This even you could understand.
4的划分 P of 4
等于5 equals 5.
意思就是 Now, all that means is
4的组合方式有五种 there are five ways to add up the number 4.
1加1加1加1 1 + 1 + 1 + 1,
3加1 3 + 1,
2加1加1 2 + 1 + 1,
2加2 2 + 2,
还有4 and 4.
看起来很简单啊 Seems simple enough.
没错 确实很简单 Yeah. So it does.
但是如果把划分的数字涨到100 But when you raise the number of P to 100,
就会有204226种 there are 204,226
不同的方法 different combinations.
数学家麦克马洪用了几周手算出来的 Major MacMahon did it by hand. Took him weeks.
现在他能用公式解决 And now he thinks he can figure out a formula.
带入任意一个数 Plug in the number, any number,
就能得出拆分的结果 就像变魔法一样 and out comes the number of partitions. Like magic.
您曾经也打算攻克这个问题 I take it you have tried to crack this one before?
我觉得不可能 无解 It's considered impossible. Unsolvable.
不能丢一个兔子洞在这里啊 A bloody rabbit hole mystery of the universe.
现在呢 Until now?
那么... So, um...
利用散度定理 Using the divergence theorem,
这里的矢量F what is the flux
通过面积S的通量是多少 of F through S here?
他到底在做什么 What on earth's he doing?
- 证明 - 证明 - Proofs. - Proofs?
你应该给他点自由 哈代 You should let him run, Hardy.
你不能这样扼杀了他 You shouldn't stifle him.
他去打板球了 He's gone to the cricket.
打伞的那个就是 Just, uh, follow the umbrella.
先生 Sir!
哈代先生 Mr. Hardy!
哈代先生 Mr. Hardy.
你的证明我仔细检查过了 Oh, I've been over those proofs of yours,
如果你觉得那叫证明的话 if you can call them that, very carefully.
我把你少步骤和出错的地方 And I've marked where you're missing steps
都做了标记 and where you've made mistakes.
其实我还能说很多 但剩下的都交给你了 There's much more I could say, but that's where you should begin.
听着 我对你严格要求也是为你好 Listen, I'm hard on you for your own benefit.
这样你才能为人所知 So that you can be published.
先生 但您可以公布我的笔记 But, sir, you can publish the notebooks
和质数定理啊 我刚来的时候就交给您了 and my prime number theorem. You've had them since I arrived.
我已经很满意了 但以它们现在的状态公布 There is nothing I'd like more. But, if I was to publish them in their present state,
我会被送进疯人院的 I'd be sent to the lunatic asylum.
您不明白 这些... You don't understand. These...
我的看法可能和您不一样 I don't think about this the same way you do.
您要的那些步骤 These steps you want, what you want,
我根本不知道怎么做 I do not know how to do.
那你可以先尽力尝试 Well, you can just begin by trying your best
看看会不会有什么惊喜 and see if you don't surprise yourself.
先生 您知道些我不知道的事吗 Sir, do you know something I don't?
当然没有 Apparently not.
不对 我和上帝也不是完全一致 Oh, no, God and I don't see exactly eye to eye.
所以我打了伞 结果没有下雨 So if I prepare for rain, then it won't.
到目前为止 万里无云 So far, so good.
我是哈代 要在莱恩图书馆度过这个下午 I'm Hardy and I'm spending the afternoon in the Wren Library.
现在肯定会阳光普照了 Now we're sure to have sunshine.
你看 我就是你们口中的无神论者 You see, I'm what you call an atheist.
不 先生 您信奉上帝 No, sir. You believe in God.
您只是觉得他不够眷顾您 You just don't think He likes you.
真的吗 Oh, really?
听我说 Listen...
我本来不想... I wasn't gonna...
现在就把这个给你的 Give you this just yet,
但我自做主张地帮你做了一些证明 but I took the liberty of doing some of your proofs myself.
只想让你看看 我们合作能获得些什么 Just to show you what together we can achieve.
你看 See?
你已经被出版了 You've been published.
哈代先生 谢谢您 Mr. Hardy, thank you!
谢谢您 先生 Thank you, sir!
今天我们能一起分享 It is with great pride that today all of us have shared
我儿子在伦敦数学学会 the publication of my son's article
发表的文章 真是莫大的骄傲 in the London Mathematical Society.
真是件大好事 这个学会享誉盛名 Such a big thing. A very prestigious society.
看来他真是个天才啊 So how really is the little genius?
别理她 Don't pay attention to her.
她对这些成就根本无动于衷 She's not proud enough of his achievements. Huh?
拉马努金 Ramanujan?
醒醒吧 刚刚收到电报 要打仗了 Wake up. It just came over the wire. We're at war.
- 这吗 - 不是啊 傻子 在比利时 - Here? - No, silly, Belgium.
快走 国王就要来了 Now, come on! The King's arriving!
上帝保佑国王 God save the King!
该死的侵略者 Bloody jingoes.
伯蒂拜托过我 Bertie's asked me to help him
帮他处理民主控制联盟之类的事 with his Union of Democratic Control or something.
已经开始收拢人心了吗 Hmm, agitating already?
我今天早上收到了一封陆军部的来信 Well, I received a letter from the War Office this morning.
他们在弹道学方面好像需要帮助 Seems they need some assistance with ballistics.
- 弹道学 你去帮忙 - 我知道 - Ballistics? You? - I know.
我试着解释过 但他们根本听不明白 I did try to explain, but they're rather a dense lot.
- 是啊 - 总之 你应该不会想我的 - Yeah. - Anyway, you probably won't miss me.
一直有一种说法 There's an ongoing theory
说我是你编出来的人物 that I'm merely a figment of your imagination.
那是瞎说的 That's not true.
拉马努金在外面 Ah, Ramanujan's out there.
他不喜欢证明其实是有原因的 There's a reason he doesn't like proofs, you know.
因为证明很有可能和他的公式相悖 They may be disagreeable to his formulas.
上帝保佑国王 God save the King!
什么意思 How do you mean?
其实我对他的一些成果一直持保留意见 Well, I've been having some reservations about some of his work.
你之前怎么想的 Well, what did you expect?
他可能有异于常人的地方 但也不是神 He may belong to a world beyond us, but he's not God.
那我就放心了 Well, that's a relief.
他不是 He's not.
现在贾纳姬要怎么过来 How will Janaki ever come now?
别担心 他们说圣诞节之前就会结束了 Don't worry. They say it'll be over by Christmas.
最后记得告诉他 我当然会去的 Please finish by telling him that, of course, I will come
也不要担心打仗的事 离这里还很远 and not to worry about the war. It is far away from here.
我会等他做出必要的安排 And that I will wait for him to make the necessary arrangements.
还有 我非常爱他 Also that I love him very much.
就这些 That is all.
在这里签个名 Make your mark here.
我了解你丈夫 I knew your husband.
但他一直待在寺庙里 But he spent all the time at the temple.
现在也一直在壁龛旁 He's still there in the alcove.
妈妈 Amma?
妈妈 拜托您 把这个寄给他吧 Amma, please, would you post this for him?
我要让他知道 即使战争爆发我还是会去 He needs to know I will still come with the war.
妈妈 让我帮帮您吧 Amma, please let me help you.
蔬菜都去哪了 Where are all the vegetables?
拿去供给作战了 Rationing for the war.
再拿些这个 谢谢 And some... Thank you.
没有你的信 There is no letter for you.
能请您再看一下吗 Please, can you check again?
我已经看过了 I already looked again.
后面的人还在等 Now, you're holding up the queue.
他妈妈忘了给他写信了 His mum forgot to write him.
看看这是谁 天才印度佬 Look who it is, the genius wog!
他锦衣玉食睡大觉的时候 Can you believe they send us off
我们要去打仗 你敢相信吗 while he kips here in luxury?
你要去哪啊 Where do you think you're going?
你这个吃软饭的小黑鬼 You freeloading little blackie.
我跟你说话呢 I'm talking to you.
这是我们的地盘 This is our home.
你可别忘了 Don't you forget it.
不惜任何代价的胜利 Victory at any price?
谁的胜利 Victory for whom?
我理解在战争时期 I understand it's inevitable
拥护和平的人会被视为异类 that anybody primarily interested in peace
这是不可避免的 should be unpopular in a time of war.
但或许正是因此 我们才应该坚定信念 But perhaps that is all the more reason that we should exist.
没错 Hear, hear.
利特尔伍德先生在外出解决弹道学难题的时候 Mr. Littlewood has very kindly offered us his rooms
很慷慨地把自己的房间腾了出来 while he is away solving the intricacies of ballistics
其实他对弹道学根本一窍不通 for which he is so ill-suited.
所以恳请各位不要碰我的书 So please keep your hands off my books.
他指的是他收藏的威士忌 By that he means his whiskey collection.
真心感谢各位的光临 Thank you all very much for coming.
祝福你 Bless you.
非常感谢 感谢你们的光临 Thank you so much. Thank you for coming.
真是无理 Bloody cheek!
... 实在太快了 我们的处境实在太糟糕了 ... were so fast and ours were in completely the wrong position.
这是什么意思 What is the meaning of this?
我本以为你会仔细考虑来不来找我们 I'd have thought you'd choose your battles more wisely.
毕竟 让拉马金留在这里 After all, it's only the goodwill of the college
也只是学校出于好意 that allows Ramujin here.
民主管理联盟和拉马努金有什么关系啊 What the bloody hell does the UDC have to do with Ramanujan?
你应该知道你朋友 You should know that your friend,
罗素 因为他发的那些传单 Russell, is going to lose his lectureship
就快丢掉讲师的职位了 as a result of the leaflets he's been distributing.
我们听说还有别的人干了这事 We have heard that others are doing the same.
你是在恐吓我吗 Are you threatening me?
因为你现在的情况很危险 Mr. Howard is simply trying to enlighten you
霍华德先生只是想提醒你一下 as to the precariousness of your situation.
你完全有自由 You are perfectly at liberty to take
把这件事交给学院委员会 the matter to the College Council.
放心吧 我肯定会的 我是有原则的 Well, rest assured, I shall, on principle.
你这话要是让你那些法国 Well, that's a rather dangerous word,
自由主义的同事听到了 就太危险了 with all your liberal colleagues in France.
改改吧 哈代 那不就是你想要的么 Change, Hardy. That's what you wanted.
你现在要慢慢适应了 Now you get used to it.
利特尔伍德先生来的信 先生 From Mr. Littlewood, sir.
恕我冒昧 他去前线太不合适了 If I may, he's so misplaced on a battlefield,
他可不是打仗的料 I shouldn't think a bullet would recognize him as a target.
去你的吧 利特尔伍德. Damn you, Littlewood.
亲爱的哈罗德 My dear Harold,
请原谅我这个私人的过失 please forgive this personal transgression.
我现在要去那个糟糕的战场了 I'm gone now to this god-awful war
我完全不知道 自己还能不能活着回去 and haven't the faintest idea if I will ever return.
幸运的是 不像你 我还可以向上帝寻求慰藉 Fortunately, unlike you, I do have God to take comfort in.
我有两件事情要说 I have two points to make.
第一 拉马努金的质数定理 The first is that Ramanujan's work on primes,
虽然很惊艳 但实际上是错的 while brilliant in itself, is actually wrong.
另一件事比较难说清楚 The other point is less straightforward.
拉马努金的存在不亚于一个奇迹 You have in Ramanujan nothing short of a miracle.
他的才华已经 The man exceeds any notion of brilliance
超乎了我的想象 that I have ever understood.
不要说雅克比了 他甚至能比得上牛顿 Forget Jacobi, we can compare him with Newton.
我现在开始相信 I have come to believe
对于拉马努金 每一个正整数 that for Ramanujan, every single positive integer
都是他的一个好朋友 is one of his personal friends.
因此为了成功 你也有责任 And, to that end, you, too, have a responsibility.
你必须好好照看他 You have to look after him
确保他的成果能被世人所知 and make sure that his work amounts to something.
不要输给霍华德那一伙人 Don't let Howard and his lot win.
所以 哈代 你也有一场仗要打 So, you see, Hardy, you, too, have a war to fight.
千万不要放弃拉马努金 Just don't let it be with Ramanujan.
就这样 So, there you have it.
他把这个留个你自己看 He left this for you to see for yourself.
你对质数的理论是错的 Your theorem on primes is wrong.
我没错 这不可能 It's not. It can't be.
你的理论确实很有意思 It's rather interesting, really.
如果你把质数的近似值 If you compare the prime number approximation
与质数个数对比 with the actual number of primes,
得出的结果是什么 the calculation tells us what?
结果会一直增长 It always moves higher.
即使数值高达一千 一百万 Even at a thousand? A million?
无穷大也对吗 A billion trillion?
是吗 Yes?
你怎么证明 Where is the proof?
我给你证明了 我证明了 I gave it to you. It proves it.
你没有 无论你感觉它有多么正确 No, because however intuitively obvious it may seem,
在实际计算中 它就是错的 when subject to calculation, it fails.
利特尔伍德先生代入了一个数字 Mr. Littlewood has calculated a number
结果显示 和实际质数的个数相比 and it shows that your theorem will sometimes predict less,
用你的理论个数会少 而不是多 not more, than the actual number of primes.
你的理论是错的 Your theorem is wrong.
这也是在你能相信我 并做好证明之前 And this is why we cannot publish anymore
我们不能随意公布的原因 until you finally trust me on this business of proofs.
直觉只能帮你到这里 Intuition can only carry you so far.
住口 Stop!
我听不下去了 I... I can't hear this anymore.
直觉 Intuition?
你说这个词的语气 就好像它不值一提 You say this word as if it is nothing.
你觉得这一切都是直觉吗 我只凭直觉吗 Is that all it is to you? All that I am?
抱歉 我不太明白你的意思 Look, I'm sorry. Am I... I'm missing something.
你从来就没把我放在眼里 You've... You've never even seen me,
更不用说了解我 let alone know me.
你是一个没有信仰的人 You... You are a man of no faith!
你这里连照片都没有 I don't see pictures of anyone here!
连家人都没有 你到底是谁 哈代先生 Not even family! Who are you, Mr. Hardy?
你怎么敢... How dare you...
你居然对我这样品头论足 How dare you judge me?
但你就是这么对我的 你不觉得吗 But it is you who does of me! Don't you see?
不 No.
说实话 我没这么觉得 Quite frankly, I don't!
你知道我为来这 牺牲了多少吗 Don't you know what I've given up to be here?
我一无所有了 I have nothing.
你都看不到我脸上的伤吗 Do you even see the bruises on my face?
我有一个妻子 哈代先生 I have a wife, Mr. Hardy.
终于 At last.
拉马努金 是你吗 Ramanujan? Is that you?
哈代先生 Mr. Hardy.
你生病了 You're not well?
不严重 Nothing serious.
你确定 Sure?
我正准备去莱恩图书馆 I'm just off to the Wren.
信不信 Believe it or not,
如果你能想办法绕过那些病床 if you can find your way round the beds,
还是可以在那里找到书的 there are still some books there.
你留下的那些证明 Those proofs you left...
棒极了 Wonderful.
真的棒极了 Really wonderful.
所以我们可以再次开工了吗 So, we start work again?
明天早上 Tomorrow morning?
- 好的 先生 - 很好 - Yes, sir. - Good.
向您美丽的妻子表达我的敬意 My regards to your fine wife.
十分感谢 Thank you so much.
再见 先生们 Good day, gentlemen.
节哀 先生 I'm very sorry, sir.
他是个很棒的年轻人 He was a fine young man.
那一批中最优秀的 Best... best of his year.
牺牲的都是好小伙 They were all fine young men.
他们在这里学了那么多知识 All the knowledge they gained here.
却为了争一点土地而牺牲 Sacrificed for a few yards of land.
这就是胜利的代价 不是吗 They say it's the price of victory. Hmm?
过来 伯蒂 Come, Bertie.
我很担心拉马努金 I'm worried about Ramanujan.
为什么 Why?
他不像平时的他 Well, he doesn't seem quite himself.
你对平时的他又了解多少呢 What would you know about that?
我承认 非常少 Very little, I admit.
但是我认为他现在状态不好 似乎变了 But I don't think he's well. He seems to have changed.
前几天夜里 我们大吵了一架 We had a terrible row the other night
主要是谈到直觉时 他转头就走了 about intuition, of all things, and he stormed out.
第二天 他突然写出了一堆完美的证明 And then a day later he produces these wonderful proofs.
哈罗德 你成功了 Well, Harold, you've got your way.
你什么意思 How do you mean?
你和你那要了命的严谨 You and your damned rigor
终于把他的意志击垮了 has finally broken his spirits.
我警告过你 要给他自由 I warned you to let him run.
他又不是该死的赛马 Yeah, well, he's not a bloody racehorse.
的确不是 No, he's not.
但你根本就没把他当人看 But as you've hardly treated him as a human being, I suppose...
我想把他当成一匹马还更好点 Well, I suppose a horse isn't a bad place to start.
主任 我能跟你谈谈吗 Major, can I have a word?
我没时间跟你说话 I don't have time for you!
整数拆分 Partitions!
是关于拉马努金的 It's Ramanujan.
那个毒瘤 The gall.
放肆的自大狂 The unbridled arrogance.
没有你 他是无法成功的 He won't be able to do it without you.
有没有我他都不会成功的 He won't be able to do it at all.
我看了你的整数拆分公式 I've been going over your work on partitions.
在我看来 你马上就要有巨大的突破了 Seems to me you're on the verge of a major breakthrough.
现在你既然开始接受一些苛刻的条件 So now you've begun to embrace some proper rigor...
你应该见见麦克马洪主任 I think you should meet Major MacMahon.
他是学校中组合数学的先驱 He's the leader in combinatorics at the University and...
碰巧也是你最高调的反对者之一 Also happens to be one of your most vocal opponents.
他说整数拆分不可能有公式 He says partitions can't be done.
特别是不可能被你这样的人所发现 Especially by the likes of you.
那他就等着瞧吧 Then he better start counting very high.
进来之后 后果自负 Enter at your own risk!
我正等着你呢 I've been waiting for you.
58639的平方根 快说 Square root of 58,639? Now!
242 242.
后面呢 242 what?
点1549090 Point 1549090.
没错 小菜一碟 考考我 Yes, child's play. Try me.
问吧 Go on.
同一个数字 求二次方 Same number squared.
3438532321 3,438,532,321.
赢啦 Ha! Thrashed ya!
组合数学 我就是干这个的 Combinatorics, that's what I do.
其实就是掷骰子 Glorified dice throwing.
你们俩真是大胆啊 Bloody nerve of you both.
你的质数理论错了 You fail on primes,
所以你想换个方向 来搞整数拆分吗 then you think you can just turn round and crack partitions?
我告诉你 不可能的 Can't be done, I'm telling you.
特别是你 不可能 Especially not by you.
可以的 It can.
我会算出来 And I will.
不 是我会 No, I will.
用手算 By hand.
用漫长且痛苦的加法 By slow and painful addition,
到时候你们就会知道 and then you can be absolutely certain
你们俩空想出来的公式是错的 that whatever formula you two can dream up will be quite wrong.
然后你就可以滚回 Then you can crawl back
你那与世隔绝的印度 under whatever rock you came from in India
然后我们就不用陪你在这猜谜语了 哈代 and we can put to bed this charade of yours, Hardy.
现在 我需算多大的数 Now, how high do I have to go?
200的拆分吧 P of 200 should do.
我真的可以做到 I really can do it.
好了 真相大白的时刻到了 200的拆分 Well, here we are, P of 200. The moment of truth.
你知道吗 我曾经去过马德拉斯 You know, I was stationed in Madras once.
那好吧 你先来 Well, you first.
你的公式算出了多少 What has your formula given you?
3972998000000 3,972,998,000,000.
天哪 My God.
很接近了 You're close.
误差不到2% Within 2%.
真是见鬼了 Well, I'll be damned.
麦克马洪主任 我向您介绍 Major MacMahon, may I introduce you
拉马努金先生 to Mr. Ramanujan.
疼了多久 How long?
三个星期 Three weeks.
发烧多久了 And the fever?
- 还要更久 - 吸气 - Longer. - Breathe in.
吸气 Breathe in.
情况很不妙 Well, it's not good.
这都是早期肺结核的症状 You've all the early signs of tubercula.
我很抱歉 I'm sorry.
你现在就是个细菌的繁殖地 You're a breeding ground for infection.
我很难过 拉马努金 I'm so sorry, Ramanujan.
绝对不能让哈代知道 Hardy can never know.
跑啊 跑啊 Run! Run!
是一艘飞艇 It's a zeppelin!
快过来 小拉 Come on, Ram!
这边 Over here!
我在受天谴 I'm being punished.
只是发个烧 It's just the fever.
他写信了吗 Has he wrote yet?
没有 No.
你要去哪 Where are you going?
你忘记我了 You forgot me.
你看 你是对的 You see, you were right.
柯西的定理可行 Cauchy's theorem will work.
就是引入一个圆的概念 It's just leading to the circle concept.
拆分2000的时候 误差能减小到... At 2,000, it should bring it down to...
小于1%左右 Less than 1% or so.
当N趋向于无穷大 And as N goes to infinity...
误差就趋向于零 The error goes to zero.
你看 你开始理解细微和复杂了 You see? You're beginning to see the nuances and complexities,
你之前对此只是一知半解 which you were only catching at a glance before.
我们两搭档还真难啊 What an unlikely team we make.
如果我们真的解决了整数拆分问题 If we really crack partitions,
这将会是其中一个关键的突破 this will be a monumental breakthrough.
我有没有告诉你 我提名了你为院士的候选人 Did I tell you I've... I've put you up for a Fellowship?
哈代先生 Mr. Hardy,
谢谢您 thank you.
你吃的还够吗 Are you getting enough to eat?
我知道现在食物短缺 I mean, I know there are shortages,
但食堂里的食物还是够的 but there's still plenty of good grub in Hall.
我没事 I'm all right.
没什么 It's nothing.
让我问问你 Let me ask you something.
这些方程你是怎么想出来的 How does all this come to you?
我不知道 I don't know.
我都要被开除了 Why am I bothering with a Council meeting
为什么还要去参加这个会议 when I'm getting the boot?
如果你觉得我会选那个骗子当院士 If you think I'm gonna have that charlatan for a Fellow,
那你就大错特错了 you're very much mistaken.
别告诉我你提名了他 Oh, please tell me you didn't propose him.
他就要找出整数分拆公式了 He's gonna crack partitions.
他完全有资格 He's worthy.
是你告诉我 You're the one who told me
要让他像马一样自由的 我照做了 to let him run like a damn horse. Well, I did.
现在我需要鼓励他一下 And now I... I need to raise his spirits.
你是想减轻自己的愧疚吧 You mean you need to relieve your own guilt.
说真的 你这么聪明的人 怎么有时这么蠢呢 Really, for someone so clever, you can be so terribly dim.
就选取斯里尼瓦瑟·拉马努金成为院士一事 So, in the matter of Fellowship for Srinivasa Ramanujan,
我们进行一次投票 we call the matter to vote.
很抱歉这么晚了来打扰你 I'm sorry to bother you so late.
我觉得应该亲自告诉你 I felt I should be the one to tell you.
为我自己 也为学院感到很羞愧 I'm very embarrassed, for myself and for the College.
你的院士申请没用通过 But your Fellowship was denied.
谢谢你来告诉我 Thank you for telling me.
我知道您已经努力争取了 I know you did all you could.
还要更多纱布 Yeah, more dressings!
这边可以来个人吗 Can we have someone over here, please?
护士 Nurse!
就是这样 深呼吸 That's it, just breathe.
拉马努金 Ramanujan?
护士 护士 Nurse! Nurse!
要我去叫醒他吗 Shall I wake him?
不用 No.
他准备好了就会来的 He'll come when he's ready.
打扰一下 医生 Excuse me, Doctor.
这位先生在找他的印度学生 This gentleman's looking for the Indian student.
是的 Ah, yes.
他昨天晚上来的 He came in last night.
头脑已经不清醒了 Not right in the head.
发着高烧 Terrible fever.
他之前在这里 He was here.
你的状况更糟了 Your condition has worsened.
时间不多了 You may not have long.
把你的事好好安排一下吧 You should set your affairs in order.
你在这里有家人吗 Do you have any family here?
有吗 Anyone?
不 No!
先生 伦敦那边出事了 Sir, something's happened in London.
给我叫辆出租车 好吗 Call me a taxi, will you?
他还算幸运 He was very lucky with the train.
他跳下去之前 列车员看到他了 The conductor saw him before he jumped.
他的肺才是问题 The danger is his lungs.
没错 有时候他咳嗽很严重 Yes, he's had a bad cough for some time.
不是咳嗽 It is no cough.
他是肺结核晚期 He has advanced tuberculosis.
这... 无药可救了吗 Well, is... Is there nothing we could do?
祈祷吧 Pray.
只有奇迹才救得了他 It will take a miracle.
哈代先生 Mr. Hardy.
对不起给你添麻烦了 I'm sorry for the trouble I've caused you.
你吓着我了 Gave me quite a scare.
这种自我实现预言的方式 Self-prophesying.
我妻子把我忘了 My wife has forgotten me.
我孤独一人了 I have no one.
我理解 I understand that
你的这种感受 但... you might feel like that, but...
你本该跟我说说 You should have told me.
我可以帮助你 I could have helped.
我差一点也被赶走了 You know, it just as easily could have been me.
幸亏没有 Well, I'm glad it wasn't.
你和拉马努金还有很多事要干 You have cause enough with Ramanujan.
我会怀念你们俩的 I'll be thinking of you both.
你打算去哪里 Where will you go?
一路奔向牛津 Oh, I'll go down the road to Oxford.
我还会等着他们求我回来呢 And I'll wait for them to beg to have me back here.
再见 哈罗德 Good-bye, Harold.
再见 伯蒂 Bye, Bertie.
他没能把哈代一起带走太可惜了 Too bad he couldn't take Hardy with him.
我至今还不明白他有什么鬼贡献 I still don't see what he bloody contributes.
我和麦克马洪主任谈过了 Yeah, I had words with Major MacMahon.
似乎拉马努金已经快有重大突破了 It seems that Ramanujan's on the verge of a major breakthrough.
真的 整数拆分 That's right. Partitions.
这不可能 Oh, that's impossible.
等着瞧吧 Hmm. Remains to be seen.
上帝啊 这里真冷 你不冷吗 God, it's freezing in here. Are you warm enough?
要想睡觉 我就得靠近那根管子才不觉得冷 Try sleeping. I have to go to that pipe just so I don't freeze.
还不如让那辆火车撞死我呢 It would have been better for all had the train done its job.
对 那样你可能已经转世成鸽子屎了 Oh, yeah, you could have been reincarnated as a pigeon turd.
很抱歉 我没能成为你的 Sorry I've not been able to be a better friend
传统意义上的好朋友 to you in the traditional sense.
我知道你需要这样的朋友 但我并不擅长这个 I know you've needed one, but I'm not very good at all of that.
从来就不擅长 I never have been.
生命对我来说就是... Life for me is...
永远就是数学 It's always been mathematics.
你曾想知道我是如何才有这些灵感的 You wanted to know how I get my ideas.
我的神 My God.
纳马吉里 Namagiri.
是她对我说的 She speaks to me.
我熟睡时 她把那些公式放在我的舌头上 Puts formulas on my tongue when I sleep,
有时是在我祈祷时 sometimes when I pray.
你相信吗 Do you believe me?
如果你是我的朋友 Because if you are my friend,
你就会懂我说的都是真的 then you will know that I'm telling you the truth.
如果你真的是我的朋友 If you are truly my friend.
但我不信神 But I don't believe in God.
我不信任何我无法证明的东西 I don't believe in anything I can't prove.
那你就不会相信我 Then you can't believe in me.
难道你不知道吗 Don't you see?
一个方程式对我来说毫无意义 An equation has no meaning to me
除非它表达了神的旨意 unless it expresses a thought of God.
也许我们还是回到过去要更好些 Maybe it is better that we just remain what we were.
我在上学时 记得一位牧师说 When I was at school, I remember one of my chaplains saying,
"上帝是存在的 因为他就像只风筝 "You know God exists because He's like a kite,
你能感觉到 and you can feel the tug
线上的拉力 就会明白他高高在上" on the string and know that He's up there."
而我说"要是没风 风筝还能飞吗" I said, "What if there's no wind and the kite can't fly?"
不... 我不信上帝 No, I... I can't believe in God.
我也不信什么东方古老智慧 I don't believe in the immemorial wisdom of the East,
但我的确相信你 but I do believe in you.
谢谢 Thank you.
我很想尽快结束我们的工作 I very much want to finish what we started.
很好 Good.
我带了些计算来的 I brought some calculations
你精神好了的话 可以看看 in case you were feeling a bit better.
然后我想回家 And then I want to go home.
回家 Home?
越快越好 As soon as I am able.
如果我真的死了 Or if I should die,
你必须答应我 会送我回家 you have to promise that you will get me home.
你不会死的 You're not going to die.
这是给你的 Oh, this came for you.
我不打扰你了 I'll leave you in peace.
一定要听医生的话 Try and do what the doctors ask.
我知道你不喜欢听话 I know it's not in your nature.
我永远也不会明白为什么你要抛弃我 I will never know why you have chosen to forsake me.
给你寄了那么多信 Just a letter in response
我本指望你能回一封也就够了 to the multitude I have sent you would have been enough.
我已去了我哥哥那里 I have gone to be with my brother
和他们家住在了一起 and his family where I will remain.
这是最后一封信 和你道个别 This last letter is to say good-bye.
出了什么事 What happened?
不知道 他是个很糟的病人 I don't know. He's a terrible patient.
不相信药物 不吃任何东西 Doesn't believe in medicine. Won't eat anything.
只会向纳马吉里祈祷 Just prays to his Namagiri.
如果你是我的医生 我也会祈祷的 Well, I'd be praying too if you were my doctor.
而且我还是个无神论者 And I'm a bloody atheist.
这是我的错 This is my fault.
也许是吧 Yes, maybe.
在0.004以内了 We are within.004.
它不能和我一起死 哈代先生 This can't die with me, Mr. Hardy.
你不会死的 You're not going to die.
如果这是正确的 If this is correct,
你就创造了历史 you'll make a difference.
我证明了 I have the proofs.
我的天哪 My God.
他成功了 真的成功了 He did it. He really did it.
现在必须让他成为院士 Now he must be a Fellow.
现实点 哈代 Oh, be practical, Hardy.
他还是没法通过的 He'll only fail again.
没有你的帮助 是难以通过 Not with your help, he won't.
此外还有个办法 Besides, there is another way.
如果他是个... If he was a...
如果他得了皇家奖学金... If he had a Royal Fellowship...
皇家学会院士 An FRS?
可他是印度人啊 He's Indian!
麦克马洪 听我说 MacMahon, listen to me.
他真的很需要这头衔 He really needs this.
一定要把这个转交给利特尔伍德中尉 See that this gets to Lieutenant Littlewood.
利特尔伍德 他在哪里 Littlewood? Where?
霍布森先生 贝克先生 有人 Mr. Hobson, Mr. Baker, I have someone
想和你们谈谈拉马努金先生的事 who wishes to talk to you about Mr. Ramanujan.
先生们 Gentlemen.
三一学院不接纳他 Trinity denied him.
我只想要一次争取的机会 I just want the opportunity to make the case.
用他的成果来争取 Try him on his merits.
那随便你 但我认为 Suit yourself. But I think
结果还是一样的 you'll find the result will be the same.
- 哈代 - 早上好 - Hardy. - Morning.
你又在捣鼓什么事啊 Now what have you got yourself involved with?
约翰 John.
你来了 真棒 Good of you to come.
我可不愿错过这一刻 Wouldn't have missed it for the world.
这就是我们对整数拆分的研究 So, now we see the work on partitions
以及取得的重大突破 and the enormous breakthrough that has been achieved.
请注意 所有这一切 All this, mind you,
是出自一个人 在我初遇他时 他知识的局限 by a man whose limitations of knowledge when I met him
和他智慧的深奥一样让我感到震惊 were as startling as was its profundity.
对于拉马努金这项成果的重要性 Opinions may differ as to the importance of Ramanujan's work
以及对未来数学可能带来的影响 and the influence it may or may not
投票可能会见仁见智 have on the mathematics of the future,
但这个成果展现了 but one gift it does show
一种深刻无比的独创性 is its profound and invincible originality.
利特尔伍德先生曾和我说过 Mr. Littlewood once told me
"每一个正整数 that "Every positive integer
都是拉马努金的一个好朋友" is one of Ramanujan's personal friends."
对此我深信不疑 I believe this to be true.
他曾告诉我 一个方程对他来说毫无意义 He told me that an equation for him had no meaning
除非它表达了神的旨意 unless it expressed a thought of God.
虽然我本人对此完全不能同意 Well, despite everything in my being set to the contrary,
但也许他是对的 perhaps he is right.
因为这不正是我们追求纯数学所要证明的吗 For is this not exactly our justification for pure mathematics?
我们只是在追求绝对完美过程中 We are merely explorers of infinity
无数个探索者 in the pursuit of absolute perfection.
我们不是发明了这些公式 We do not invent these formulae,
因为它们本身就存在 they already exist
只是在等着那些 and lie in wait for only the very
拉马努金之类的人 拥有无尽的智慧 brightest of minds, like Ramanujan,
来猜想和求证它们 ever to divine and prove.
因此 最后 So, in the end,
我不禁在想 I have been forced to consider,
我们凭什么去质疑拉马努金 who are we to question Ramanujan,
更别说质疑神了 let alone God?
谢谢大家 Thank you.
这个骗子浪费我们的时间已经够糟的了 It's bad enough that this charlatan has wasted our time once.
哈代还把世上唯一支持他的人 And now Hardy has dragged the only person in the world
从战壕里拖了过来 who will support him out of the trenches.
够了 别再理会这个... 拉马金了 No, enough is enough with this... this Ramujin.
不是只有利特尔伍德 Littlewood is not the only one.
我认为 他是我一生中见过的最为聪明的人 I think he has the finest mind I've seen in my lifetime.
还有 他的名字叫拉马努金 And his name is Ramanujan.
哈代 Hardy?
我是皇家学会院士了 I'm a Fellow of the Royal Society.
他给我写信了 He wrote to me.
贾纳姬 Janaki.
如果你去了他那里 If you had gone to him,
他就永远不会回来了 he would never return.
你真的要回去吗 Are you really gonna go home?
战争结束了 是时候了 War is over. It is time.
成为一名皇家学会院士 Well, as a Fellow of the Royal Society,
他们一定特别为你自豪 they're gonna be really proud of you.
- 我太感谢您了 - 不必 - I owe you so much. - No, no, no.
要感谢的是我 It's I who owe you.
来 走草地 你要来不及了 Come on. Come on the grass. You're late.
不行 先生 我还不是这里的院士 But, sir, I can't. I'm not a Fellow over here.
你确定吗 Are you sure about that?
对于一名皇家学会院士 他们还能说什么 Well, as an FRS, what could they say?
跟着我读 Repeat after me.
"本人 斯里尼瓦瑟·拉马努金 "I, Srinivasa Ramanujan,
被选为三一学院的院士..." elected Fellow of Trinity College..."
本人 斯里尼瓦瑟·拉马努金 I, Srinivasa Ramanujan,
被评选为圣三一学院的院士 elected Fellow of Trinity College.
对不起我来迟了 该死的出租司机迷路了 Sorry I'm late. Bloody cab driver got lost.
看那车牌号就知道不好 Should have known from his number.
多少 And what was that?
那数字太蠢了 Rather a dull one.
1729 1729.
不 哈代 No, Hardy.
这号码很有趣 It is a very interesting number.
它是在可以用两个立方之和来表达 It is the smallest number expressible
且有两种表达方法的数中 1729是最小的 as the sum of two cubes in two different ways.
你通知家人了吗 Have you notified your family?
没通知她 Just not her.
我都不知道她是否收得到信 I don't even know if she got my letter.
我... 我对这类事一直一窍不通 I... I... I'm rather out of my depth in such affairs, but...
但还是想说 But I will say this.
感情这种事 既没有证明 There are no proofs nor underlying laws
也没有定律来左右它的结果 that can determine the outcome of matters of the heart.
这点我能确定 Of this I'm sure.
也许我们再次相聚时 Perhaps when we meet again
你会拥有自己的一段感情 you will have such matters of your own.
也许吧 Well, perhaps.
我会想你的 我的朋友 I will miss you, my friend.
我也会想你的 I will miss you.
每周要给我写一封信 汇报你的新成果 So, I want a letter with you with all your new work, every week.
一年后要回来找我们 And come back to us in a year's time.
我保证 I promise.
下午的邮件 先生 Afternoon post, sir.
谢谢 Thank you.
印度来的 India.
总算来了 At last.
他要回来了吗 先生 Is he coming back, sir?
用语言是难以表达 It is difficult to put into words...
我对拉马努金的 What I owe
感谢的 Ramanujan.
从我第一次见到他起 他的独创性一直是 His originality has been a constant source of suggestion to me
启发我的源泉 ever since I first met him.
他的去世 And his death
是我所经历过最为沉痛的打击 is one of the worst blows I have ever felt.
但在悲痛之余 在我发现自己 But now I say to myself when I'm depressed,
不得不听闻那些 and I find myself forced to listen
烦人自大的言论时 我对自己说 to tiresome and pompous people,
"我做了一些你们永远做不到的事 "Well, I've done something you could never have done.
我和利特尔伍德以及拉马努金 I have collaborated with both Littlewood and Ramanujan
共同平等地进行了合作" on something like equal terms."
我们坐这辆 Let's take this one.
什么 What?
1729 1729.
这辆车有什么特别的 I don't see what's so special about this one.
一开始我也不懂 Neither did I at first.