1/419 0.33-6.27 <font color=red>aaa</font> 二零二六年芝雅格大学数学系教授中国籍数学家邓誉获得了菲尔兹奖。09-03 20:50:51-09-03 20:50:55<font color=blue>In 2026, Professor Deng Yu of the Mathematics Department at Zhejiang University in China received the Fields Medal.</font><br>2/419 6.81-7.71 <font color=red>aaa</font> 这里顺便一提。09-03 20:45:50-09-03 20:45:52<font color=blue>By the way, I'd like to mention this.</font><br>3/419 8.13-9.45 <font color=red>n</font> 芝雅格大学迄今为止，09-03 20:45:51-09-03 20:45:53<font color=blue>So far, the University of Ziyang has...</font><br>4/419 9.75-12.33 <font color=red>bg</font> 已经有十一位学者获得了菲尔兹奖，09-03 20:45:51-09-03 20:46:34<font color=blue>Ten scholars have already won the Fields Medal.</font><br>5/419 13.23-16.41 <font color=red>aaa</font> 而这项被誉为数学界诺贝尔奖的荣誉。09-03 20:45:53-09-03 20:45:56<font color=blue>And this is the award that is known as the Nobel Prize in mathematics, a highly prestigious honor.</font><br>6/419 16.89-17.25 <font color=red>n</font> 这一次，09-03 20:45:53-09-03 20:45:55<font color=blue>This time,</font><br>7/419 17.43-21.33 <font color=red>de</font> 奖励的是一个持续了一百二十五年的追问，09-03 20:45:56-09-03 20:46:37<font color=blue>The reward was a hundred and twenty-five years of questioning.</font><br>8/419 22.05-26.07 <font color=red>hp</font> 为什么一个充满偶然的世界会稳定的产生秩序。09-03 20:45:56-09-03 20:46:00<font color=blue>Why a world full of chance can produce order.</font><br>9/419 27.27-32.32 <font color=red>n</font> 从牛顿波尔兹曼希尔伯特到今天的邓誉一代又一代数学家，09-03 20:45:57-09-03 20:46:01<font color=blue>From Newton, Poincaré, Hilbert to today's Deng Xiaoping, generation after generation of mathematicians.</font><br>10/419 32.5-33.82 <font color=red>n</font> 试图回答同一个问题，09-03 20:45:58-09-03 20:46:00<font color=blue>Trying to answer the same question,</font><br>11/419 34.66-36.58 <font color=red>xss</font> 物理学难以成立的那些规律，09-03 20:45:58-09-03 20:46:32<font color=blue>The laws of physics that are difficult to establish,</font><br>12/419 36.88-39.22 <font color=red>aaa</font> 到底只是经验上的看起来如此，09-03 20:45:59-09-03 20:46:00<font color=blue>It seems like just experience,</font><br>13/419 39.58-43.12 <font color=red>de</font> 还是能够从最基本的运动中一步一步推导出来。09-03 20:46:00-09-03 20:46:37<font color=blue>It can be derived step by step from the most basic movements.</font><br>14/419 44.02-44.86 <font color=red>hp</font> 这一问题的答案，09-03 20:46:00-09-03 20:46:03<font color=blue>The answer to this question,</font><br>15/419 45.1-48.52 <font color=red>n</font> 关系到现代科学究竟是建立在怎样的基础之上？09-03 20:46:01-09-03 20:46:03<font color=blue>What is the foundation of modern science?</font><br>16/419 49.6-54.76 <font color=red>aaa</font> 世界为什么可以预测我们每天生活在一种奇妙的矛盾之中？09-03 20:46:02-09-03 20:46:04<font color=blue>Why can the world make us live in a wonderful contradiction every day?</font><br>17/419 55.36-55.66 <font color=red>n</font> 一方面，09-03 20:46:02-09-03 20:46:03<font color=blue>On the one hand,</font><br>18/419 55.9-57.52 <font color=red>hp</font> 我们知道世界充满随机，09-03 20:46:03-09-03 20:46:07<font color=blue>We know that the world is full of randomness.</font><br>19/419 58.24-61.19 <font color=red>n</font> 没有人知道下一阵风吹落哪一片树叶。09-03 20:46:04-09-03 20:46:09<font color=blue>No one knew which leaf would be blown away by the next gust of wind.</font><br>20/419 61.75-65.32 <font color=red>n</font> 没有人知道下一滴雨会落在屋顶还是窗台，09-03 20:46:05-09-03 20:46:09<font color=blue>No one knew where the next drop of rain would fall, on the roof or windowsill.</font><br>21/419 65.9-70.13 <font color=red>aaa</font> 也没有人能够预测空气中的某一颗分子一分钟之后的位置。09-03 20:46:05-09-03 20:46:08<font color=blue>No one can predict the location of a molecule in the air after one minute.</font><br>22/419 70.96-71.38 <font color=red>hp</font> 另一方面，09-03 20:46:08-09-03 20:46:10<font color=blue>On the other hand,</font><br>23/419 71.68-73.78 <font color=red>aaa</font> 我们又不断的依赖预测生活。09-03 20:46:08-09-03 20:46:10<font color=blue>We are constantly relying on predictions about life.</font><br>24/419 74.59-75.49 <font color=red>n</font> 天气预报告诉我，09-03 20:46:09-09-03 20:46:11<font color=blue>The weather forecast tells me,</font><br>25/419 75.61-76.51 <font color=red>n</font> 明天是否下雨，09-03 20:46:10-09-03 20:46:11<font color=blue>Will it rain tomorrow?</font><br>26/419 76.97-78.769 <font color=red>aaa</font> 工程师计算飞机如何飞跃。09-03 20:46:11-09-03 20:46:12<font color=blue>Engineers calculate how airplanes fly.</font><br>27/419 79.11-82.99 <font color=red>hp</font> 大西洋医生利用流体力学解释血液循环，09-03 20:46:11-09-03 20:46:16<font color=blue>Physicians in the Atlantic use fluid dynamics to explain blood circulation.</font><br>28/419 83.85-87.97 <font color=red>n</font> 航天器依靠精确计算穿越几亿公里的太空。09-03 20:46:12-09-03 20:46:15<font color=blue>Spacecraft rely on precise calculations to traverse millions of kilometers in space.</font><br>29/419 88.86-90.42 <font color=red>n</font> 如果世界真的完全水起，09-03 20:46:13-09-03 20:46:15<font color=blue>If the world really sinks,</font><br>30/419 90.74-92.06 <font color=red>aaa</font> 这一切都不会发生。09-03 20:46:13-09-03 20:46:15<font color=blue>None of this will happen.</font><br>31/419 93.08-95.83 <font color=red>aaa</font> 现代科学能够建立一个极其重要的前提，09-03 20:46:16-09-03 20:46:17<font color=blue>Modern science can establish a very important premise,</font><br>32/419 96.18-98.5 <font color=red>n</font> 就是相信混乱背后存在秩序。09-03 20:46:16-09-03 20:46:19<font color=blue>Believe that there is order behind chaos.</font><br>33/419 99.1-102.4 <font color=red>n</font> 偶然之中隐藏着闺女这个想法，09-03 20:46:17-09-03 20:46:20<font color=blue>The idea of a daughter is hidden in the chance encounter.</font><br>34/419 102.52-104.74 <font color=red>hp</font> 今天听起来几乎是理所当然的。09-03 20:46:18-09-03 20:46:21<font color=blue>It sounds like it's almost a given today.</font><br>35/419 105.31-106.51 <font color=red>aaa</font> 可是在十九世纪，09-03 20:46:18-09-03 20:46:20<font color=blue>In the 19th century,</font><br>36/419 106.93-109.09 <font color=red>n</font> 他曾是一场激烈的思想争论，09-03 20:46:19-09-03 20:46:21<font color=blue>He was once a fierce intellectual debate.</font><br>37/419 110.15-112.37 <font color=red>aaa</font> 那时人们已经接受了牛顿力学，09-03 20:46:20-09-03 20:46:22<font color=blue>At that time, people had already accepted Newtonian mechanics.</font><br>38/419 112.97-116.49 <font color=red>n</font> 只要知道一个物体的位置和速度就能够计算它，09-03 20:46:21-09-03 20:46:26<font color=blue>As long as you know the position and velocity of an object, it can be calculated.</font><br>39/419 116.61-117.88 <font color=red>hp</font> 下一秒会去哪儿。09-03 20:46:22-09-03 20:46:26<font color=blue>Where will I go next.</font><br>40/419 118.83-121.89 <font color=red>n</font> 整个宇宙仿佛是一个巨大的钟表，09-03 20:46:23-09-03 20:46:26<font color=blue>The entire universe is like a giant clock.</font><br>41/419 122.7-125.17 <font color=red>aaa</font> 每一个齿轮都按照固定的规律运转。09-03 20:46:23-09-03 20:46:26<font color=blue>Each gear rotates according to a fixed pattern.</font><br>42/419 126.12-126.36 <font color=red>hp</font> 可是，09-03 20:46:27-09-03 20:46:28<font color=blue>However,</font><br>43/419 126.54-128.94 <font color=red>aaa</font> 当研究对象变成了一团空气时，09-03 20:46:27-09-03 20:46:29<font color=blue>When the research object becomes a cloud of air,</font><br>44/419 129.51-130.77 <font color=red>n</font> 事情突然失去了控制。09-03 20:46:28-09-03 20:46:30<font color=blue>The situation suddenly got out of control.</font><br>45/419 131.95-133.03 <font color=red>n</font> 空气中有多少分子？09-03 20:46:29-09-03 20:46:31<font color=blue>How many molecules are there in the air?</font><br>46/419 134.0-137.88 <font color=red>hp</font> 一个普通房间中的空气大约包含了十的二十五次方，09-03 20:46:29-09-03 20:46:34<font color=blue>The air in an ordinary room contains approximately 10 to the power of 25,</font><br>47/419 138.0-138.48 <font color=red>aaa</font> 个分子，09-03 20:46:30-09-03 20:46:31<font color=blue>A molecule,</font><br>48/419 139.03-142.57 <font color=red>n</font> 比银河系里的恒星数量还要多处十几万一倍。09-03 20:46:31-09-03 20:46:35<font color=blue>It is about 10 million times more than the number of stars in the Milky Way.</font><br>49/419 143.35-146.63 <font color=red>aaa</font> 他们每时每刻都在飞行碰撞改变方向，09-03 20:46:31-09-03 20:46:34<font color=blue>They are constantly flying, colliding, and changing direction.</font><br>50/419 147.34-149.71 <font color=red>n</font> 每秒发生的碰撞次数几乎无法想象，09-03 20:46:32-09-03 20:46:35<font color=blue>The number of collisions that occur every second is almost unimaginable.</font><br>51/419 150.67-152.469 <font color=red>xss</font> 没有任何计算能力能够追踪。09-03 20:46:32-09-03 20:46:53<font color=blue>No calculation can track.</font><br>52/419 152.65-153.91 <font color=red>aaa</font> 每一颗粒子的运动，09-03 20:46:35-09-03 20:46:36<font color=blue>Every particle's movement,</font><br>53/419 154.96-156.7 <font color=red>bg</font> 如果牛顿的方法依旧适用，09-03 20:46:36-09-03 20:47:09<font color=blue>If Newton's method still applies,</font><br>54/419 157.13-159.16 <font color=red>hp</font> 那么现在物理几乎寸步难行，09-03 20:46:36-09-03 20:46:40<font color=blue>So now physics is almost impossible to keep up with.</font><br>55/419 159.82-163.59 <font color=red>n</font> 科学需要另一种语言波尔兹曼，09-03 20:46:37-09-03 20:46:39<font color=blue>Science needs another language, Boltzmann.</font><br>56/419 163.77-165.87 <font color=red>n</font> 相信一件没人能够证明的事儿。09-03 20:46:38-09-03 20:46:40<font color=blue>Believe in something that no one can prove.</font><br>57/419 166.99-172.19 <font color=red>aaa</font> 一八七二年奥地利物理学家杜德维希波尔兹曼提出了一种大胆的思想。09-03 20:46:38-09-03 20:46:41<font color=blue>In 1872, Austrian physicist Ludwig Boltzmann proposed a bold idea.</font><br>58/419 173.09-175.31 <font color=red>de</font> 既然没有人能够追踪每一颗粒子，09-03 20:46:39-09-03 20:47:01<font color=blue>Since no one can track every particle,</font><br>59/419 175.69-177.07 <font color=red>de</font> 他就不要再追踪他了。09-03 20:46:40-09-03 20:47:02<font color=blue>Then he won't track him anymore.</font><br>60/419 177.53-179.72 <font color=red>n</font> 去研究整体波尔兹曼，09-03 20:46:40-09-03 20:46:42<font color=blue>Investigate the overall Boltzmann,</font><br>61/419 179.84-182.83 <font color=red>n</font> 关心的不再是这一颗分子去了哪里，09-03 20:46:41-09-03 20:46:44<font color=blue>The concern is no longer where that molecule has gone.</font><br>62/419 183.5-187.21 <font color=red>hp</font> 而是平均来说会有多少粒子会出现在这里，09-03 20:46:42-09-03 20:46:45<font color=blue>On average, how many particles will appear here?</font><br>63/419 187.55-189.17 <font color=red>aaa</font> 他们大概拥有怎样的速度？09-03 20:46:42-09-03 20:46:44<font color=blue>What kind of speed do they have?</font><br>64/419 189.82-192.21 <font color=red>n</font> 这便是后来著名的沃尔兹曼方程。09-03 20:46:43-09-03 20:46:45<font color=blue>This is the later famous Volterra equation.</font><br>65/419 193.21-194.71 <font color=red>n</font> 今天几乎所有的统计，09-03 20:46:44-09-03 20:46:46<font color=blue>Today, almost all statistics,</font><br>66/419 194.83-195.009 <font color=red>aaa</font> 物理、09-03 20:46:45-09-03 20:46:46<font color=blue>Physics,</font><br>67/419 195.44-195.74 <font color=red>hp</font> 热力学、09-03 20:46:46-09-03 20:46:48<font color=blue>Thermodynamics,</font><br>68/419 196.18-196.36 <font color=red>n</font> 气体、09-03 20:46:46-09-03 20:46:47<font color=blue>Gas,</font><br>69/419 196.54-198.97 <font color=red>aaa</font> 动力学都建立在这一个思想之上，09-03 20:46:47-09-03 20:46:49<font color=blue>The principles of dynamics are based on this idea.</font><br>70/419 199.93-202.62 <font color=red>n</font> 它意味着一种最根本性的视角转变。09-03 20:46:48-09-03 20:46:50<font color=blue>It means a fundamental shift in perspective.</font><br>71/419 203.53-205.81 <font color=red>n</font> 牛顿研究的是每一颗弹珠，09-03 20:46:48-09-03 20:46:50<font color=blue>Newton studied each marble.</font><br>72/419 206.62-207.1 <font color=red>hp</font> 波尔兹曼，09-03 20:46:49-09-03 20:46:51<font color=blue>Boltzmann,</font><br>73/419 207.22-208.85 <font color=red>aaa</font> 研究的是整片沙滩，09-03 20:46:50-09-03 20:46:51<font color=blue>The study focuses on the entire beach.</font><br>74/419 209.86-212.08 <font color=red>n</font> 牛顿描述的是一位行人的脚步，09-03 20:46:51-09-03 20:46:53<font color=blue>Newton described the steps of a pedestrian.</font><br>75/419 212.86-215.55 <font color=red>n</font> 波尔兹曼开始统计整座城市的人流。09-03 20:46:51-09-03 20:46:55<font color=blue>Boltzmann started to count the number of people in the entire city.</font><br>76/419 216.77-217.55 <font color=red>hp</font> 令人惊讶的是，09-03 20:46:52-09-03 20:46:54<font color=blue>Surprisingly,</font><br>77/419 217.89-219.63 <font color=red>aaa</font> 这种统计方法异常成功，09-03 20:46:53-09-03 20:46:54<font color=blue>This statistical method is remarkably successful.</font><br>78/419 220.29-221.85 <font color=red>n</font> 他准确解释了温度、09-03 20:46:54-09-03 20:46:55<font color=blue>He accurately explained the temperature,</font><br>79/419 222.38-222.62 <font color=red>xss</font> 压力、09-03 20:46:54-09-03 20:47:05<font color=blue>Stress,</font><br>80/419 223.08-225.86 <font color=red>hp</font> 扩散商以及热力学第二定律。09-03 20:46:55-09-03 20:46:58<font color=blue>Diffusion merchants and the second law of thermodynamics.</font><br>81/419 226.65-226.89 <font color=red>aaa</font> 后来，09-03 20:46:56-09-03 20:46:56<font color=blue>Later,</font><br>82/419 227.01-232.29 <font color=red>n</font> 人们甚至利用它建立了现代航空发动机设计以及天气模型，09-03 20:46:56-09-03 20:47:00<font color=blue>People have even used it to establish modern aircraft engine design and weather models.</font><br>83/419 233.73-233.91 <font color=red>n</font> 然而，09-03 20:46:57-09-03 20:46:58<font color=blue>However,</font><br>84/419 234.03-235.77 <font color=red>aaa</font> 波尔兹曼的一生并不顺利。09-03 20:46:58-09-03 20:46:59<font color=blue>Boltzmann's life was not smooth.</font><br>85/419 236.66-237.32 <font color=red>n</font> 十九世纪末，09-03 20:46:59-09-03 20:47:00<font color=blue>Late 19th century,</font><br>86/419 237.73-240.31 <font color=red>hp</font> 很多欧洲物理学家依然怀疑原子的存在，09-03 20:46:59-09-03 20:47:03<font color=blue>Many European physicists still doubted the existence of atoms.</font><br>87/419 241.12-245.0 <font color=red>aaa</font> 他们认为所谓原子不过是一种方便计算的假设，09-03 20:47:00-09-03 20:47:03<font color=blue>They consider the so-called atom to be merely a convenient assumption for calculation.</font><br>88/419 245.61-246.99 <font color=red>n</font> 并没有人真正见过他。09-03 20:47:01-09-03 20:47:03<font color=blue>No one has ever truly seen him.</font><br>89/419 248.01-250.8 <font color=red>n</font> bo子们几乎用一身捍卫自己的理论。09-03 20:47:02-09-03 20:47:04<font color=blue>They almost defended their theories with everything they had.</font><br>90/419 251.85-252.51 <font color=red>de</font> 一九零六年，09-03 20:47:02-09-03 20:47:32<font color=blue>1906,</font><br>91/419 252.83-255.34 <font color=red>de</font> 因为长期的学术论战与抑郁症，09-03 20:47:03-09-03 20:47:41<font color=blue>Due to prolonged academic disputes and depression,</font><br>92/419 255.85-258.59 <font color=red>aaa</font> 他在意大利度假期间结束了自己的生命。09-03 20:47:04-09-03 20:47:06<font color=blue>He ended his life during a vacation in Italy.</font><br>93/419 259.51-259.99 <font color=red>hp</font> 两年之后，09-03 20:47:05-09-03 20:47:07<font color=blue>Two years later,</font><br>94/419 260.23-263.64 <font color=red>n</font> 法国物理学家让佩兰通过布朗运动实验，09-03 20:47:05-09-03 20:47:10<font color=blue>French physicist Jean Perrin demonstrated the existence of atoms and molecules through Brownian motion experiments.</font><br>95/419 264.02-267.22 <font color=red>n</font> 第一次令人信服的证明了原子的真实存在。09-03 20:47:06-09-03 20:47:09<font color=blue>The first convincing proof of the existence of atoms.</font><br>96/419 268.17-273.54 <font color=red>xss</font> 而爱因斯坦此前对布朗运动的理论分析也成为了这一证明的重要基础。09-03 20:47:07-09-03 20:48:09<font color=blue>Einstein's previous theoretical analysis of Brownian motion also became an important basis for this proof.</font><br>97/419 274.88-276.38 <font color=red>aaa</font> 历史有时充满了讽刺，09-03 20:47:07-09-03 20:47:09<font color=blue>History is often full of irony,</font><br>98/419 277.13-279.65 <font color=red>hp</font> 波尔兹曼没有等到属于自己的胜利，09-03 20:47:08-09-03 20:47:11<font color=blue>Boltzmann did not wait for his victory.</font><br>99/419 280.22-281.96 <font color=red>n</font> 物理学最终站在了他这一边，09-03 20:47:10-09-03 20:47:11<font color=blue>Physics stood by him in the end,</font><br>100/419 282.71-283.55 <font color=red>aaa</font> 数学却没有。09-03 20:47:10-09-03 20:47:11<font color=blue>There is no math.</font><br>101/419 284.16-287.04 <font color=red>n</font> 因为所有人都相信波尔兹曼方程正确，09-03 20:52:12-09-03 20:52:13<font color=blue>Because everyone believes that the Boltzmann equation is correct,</font><br>102/419 287.53-289.75 <font color=red>bg</font> 却没有人能够回答一个更加根本的问题。09-03 20:47:12-09-03 20:47:52<font color=blue>However, no one could answer a more fundamental question.</font><br>103/419 290.27-291.71 <font color=red>n</font> 为什么它一定正确？09-03 20:47:12-09-03 20:47:14<font color=blue>Why is it necessarily correct?</font><br>104/419 292.46-293.72 <font color=red>n</font> 谢尔伯特第六问题。09-03 20:47:13-09-03 20:47:15<font color=blue>Bertie's Sixth Question.</font><br>105/419 294.57-295.17 <font color=red>aaa</font> 一九零零年，09-03 20:47:14-09-03 20:47:15<font color=blue>In 1900,</font><br>106/419 295.73-302.25 <font color=red>hp</font> 巴黎德国数学家大卫希尔伯特站在国际数学大会上提出了二十三个问题，09-03 20:47:15-09-03 20:47:20<font color=blue>At the International Mathematical Congress in Paris, German mathematician David Hilbert posed twenty-three questions.</font><br>107/419 302.83-305.35 <font color=red>n</font> 希望他们能够指引未来一百年的数学。09-03 20:47:15-09-03 20:47:18<font color=blue>I hope they can guide mathematics for the next hundred years.</font><br>108/419 306.32-306.5 <font color=red>n</font> 后来，09-03 20:47:16-09-03 20:47:17<font color=blue>Later,</font><br>109/419 306.62-308.9 <font color=red>aaa</font> 人们把他们称作希尔伯特问题。09-03 20:47:17-09-03 20:47:18<font color=blue>People call them the Hilbert problems.</font><br>110/419 309.72-313.73 <font color=red>n</font> 其中第六个问题与其他许多纯数学问题显得格外不同。09-03 20:47:18-09-03 20:47:21<font color=blue>The sixth question stands out as being particularly different from many other purely mathematical problems.</font><br>111/419 314.41-315.49 <font color=red>aaa</font> 他讨论的是物理，09-03 20:47:19-09-03 20:47:20<font color=blue>He is talking about physics.</font><br>112/419 316.2-321.43 <font color=red>n</font> 更准确的说他讨论的是怎样为整个物理学建立严格的数学基础。09-03 20:47:20-09-03 20:47:26<font color=blue>More accurately, he is discussing how to establish a rigorous mathematical foundation for all of physics.</font><br>113/419 322.29-323.61 <font color=red>hp</font> 这个目标听起来抽象。09-03 20:47:20-09-03 20:47:23<font color=blue>This goal sounds abstract.</font><br>114/419 324.2-324.92 <font color=red>aaa</font> 为了方便解释，09-03 20:47:21-09-03 20:47:22<font color=blue>To make it easier to explain,</font><br>115/419 325.42-328.22 <font color=red>n</font> 我们姑且把问题想象成一座桥。09-03 20:47:22-09-03 20:47:26<font color=blue>Let's imagine the problem as a bridge.</font><br>116/419 329.36-330.62 <font color=red>aaa</font> 桥的一端是牛顿，09-03 20:47:23-09-03 20:47:26<font color=blue>One end of the bridge is Newton.</font><br>117/419 331.18-332.92 <font color=red>hp</font> 这里只有一个一个例子，09-03 20:47:24-09-03 20:47:26<font color=blue>Here is an example,</font><br>118/419 333.37-334.93 <font color=red>aaa</font> 他们像弹珠一样碰撞，09-03 20:47:27-09-03 20:47:28<font color=blue>They collided like beads.</font><br>119/419 335.58-337.14 <font color=red>n</font> 严格遵守牛顿运动地律。09-03 20:47:27-09-03 20:47:32<font color=blue>Strictly adhere to Newton's laws of motion.</font><br>120/419 338.03-339.8 <font color=red>n</font> 桥的中间是波尔兹曼，09-03 20:47:28-09-03 20:47:32<font color=blue>The middle of the bridge is Boltzmann.</font><br>121/419 340.51-342.49 <font color=red>hp</font> 这里已经看不到任何单独的例子，09-03 20:47:29-09-03 20:47:32<font color=blue>There are no specific examples here.</font><br>122/419 343.01-345.23 <font color=red>aaa</font> 只剩下概率分布和统计规律。09-03 20:47:29-09-03 20:47:32<font color=blue>Only probability distributions and statistical laws remain.</font><br>123/419 346.23-346.95 <font color=red>n</font> 桥的另一端，09-03 20:47:32-09-03 20:47:34<font color=blue>At the other end of the bridge,</font><br>124/419 347.35-348.46 <font color=red>n</font> 这是流体力学，09-03 20:47:33-09-03 20:47:35<font color=blue>This is fluid mechanics.</font><br>125/419 349.3-350.8 <font color=red>aaa</font> 空气不再是一群粒子，09-03 20:47:34-09-03 20:47:36<font color=blue>Air is no longer a collection of particles,</font><br>126/419 351.18-352.86 <font color=red>hp</font> 它变成了连续流动的风。09-03 20:47:34-09-03 20:47:39<font color=blue>It turned into a continuous flow of wind.</font><br>127/419 353.66-355.04 <font color=red>de</font> 海洋不再是一滴滴海水，09-03 20:47:35-09-03 20:48:04<font color=blue>The ocean is no longer a collection of individual drops,</font><br>128/419 355.44-357.13 <font color=red>n</font> 而成为了可以计算速度、09-03 20:47:36-09-03 20:47:39<font color=blue>And became capable of calculating speed,</font><br>129/419 357.47-359.15 <font color=red>n</font> 压力和湍流的整体。09-03 20:47:37-09-03 20:47:39<font color=blue>Overall stress and turbulence.</font><br>130/419 360.55-362.77 <font color=red>aaa</font> 三个世界描述的是同一个现实，09-03 20:47:37-09-03 20:47:39<font color=blue>Three Worlds describes the same reality,</font><br>131/419 363.25-365.47 <font color=red>n</font> 只是观察的尺度越来越大。09-03 20:47:40-09-03 20:47:41<font color=blue>Just observing the scale is getting bigger.</font><br>132/419 366.67-369.91 <font color=red>hp</font> 如果说牛顿研究的是一位士兵如何行走，09-03 20:47:41-09-03 20:47:44<font color=blue>If Newton was studying how a soldier walks,</font><br>133/419 370.45-374.41 <font color=red>n</font> 那么波尔兹曼开始研究整个连队到了流体力学，09-03 20:47:41-09-03 20:47:44<font color=blue>Then Boltzmann started to study the entire team, up to fluid mechanics.</font><br>134/419 374.59-377.65 <font color=red>aaa</font> 人们看到的已经是一支军队如何移动，09-03 20:47:42-09-03 20:47:44<font color=blue>What people see is how a military unit moves.</font><br>135/419 378.31-380.29 <font color=red>de</font> 或者换一种更贴近日常生活的说法。09-03 20:47:43-09-03 20:48:11<font color=blue>Or, put it in a more everyday way.</font><br>136/419 380.53-382.69 <font color=red>n</font> 刘顿关注的是一个人的脚步，09-03 20:47:44-09-03 20:47:46<font color=blue>Liu Doun focuses on a person's footsteps.</font><br>137/419 383.29-385.69 <font color=red>hp</font> 波尔兹曼统计的是整条街的人流，09-03 20:47:44-09-03 20:47:48<font color=blue>Boltzmann statistics describe the overall population of a street.</font><br>138/419 386.71-391.52 <font color=red>aaa</font> 纳维斯托克斯方程描述的这是一座城市高峰的潮汐，09-03 20:47:45-09-03 20:47:48<font color=blue>The Navier-Stokes equation describes the tidal flow of a city's peak.</font><br>139/419 392.96-394.4 <font color=red>n</font> 三种描述彼此吻合，09-03 20:47:46-09-03 20:47:48<font color=blue>Three descriptions that match each other,</font><br>140/419 394.64-397.04 <font color=red>n</font> 却始终缺少严格的数学连接，09-03 20:47:46-09-03 20:47:49<font color=blue>However, it is still lacking in strict mathematical connections.</font><br>141/419 397.58-398.48 <font color=red>hp</font> 尤其是第一步。09-03 20:47:49-09-03 20:47:52<font color=blue>Especially the first step.</font><br>142/419 399.14-401.18 <font color=red>n</font> 为什么无数追寻牛顿定女的例子，09-03 20:47:50-09-03 20:47:54<font color=blue>Why are there so many examples of people who chase Newton's law?</font><br>143/419 401.54-402.8 <font color=red>aaa</font> 经过不断的碰撞之后，09-03 20:47:50-09-03 20:47:52<font color=blue>After countless collisions,</font><br>144/419 403.1-406.94 <font color=red>n</font> 一定会表现出波尔兹曼方程所描述的统计规律。09-03 20:47:51-09-03 20:47:54<font color=blue>Will exhibit statistical laws described by the Boltzmann equation.</font><br>145/419 408.08-408.5 <font color=red>aaa</font> 这座桥，09-03 20:47:53-09-03 20:47:54<font color=blue>This bridge,</font><br>146/419 408.74-410.12 <font color=red>hp</font> 人们知道它应该存在，09-03 20:47:54-09-03 20:47:56<font color=blue>People knew it should exist.</font><br>147/419 410.6-412.52 <font color=red>bg</font> 却始终没有人能够修过去。09-03 20:47:54-09-03 20:48:35<font color=blue>However, no one has ever been able to fix it.</font><br>148/419 413.36-414.08 <font color=red>de</font> 一个多世纪里，09-03 20:52:57-09-03 20:53:05<font color=blue>For over a century,</font><br>149/419 414.44-416.84 <font color=red>n</font> 无数的数学家在桥中央停了下来，09-03 20:47:56-09-03 20:47:58<font color=blue>Countless mathematicians stopped in the middle of the bridge.</font><br>150/419 417.38-418.7 <font color=red>aaa</font> 他们能够走出第一步，09-03 20:47:56-09-03 20:47:57<font color=blue>They can take their first step.</font><br>151/419 419.06-420.87 <font color=red>n</font> 也能够远远望建彼岸，09-03 20:47:57-09-03 20:47:59<font color=blue>You can also see the other shore from afar.</font><br>152/419 421.25-426.28 <font color=red>hp</font> 却始终无法完成最后的那一段距离五十年的死胡同。09-03 20:47:58-09-03 20:48:02<font color=blue>But I could never complete the final stretch, fifty years of dead ends.</font><br>153/419 427.06-427.72 <font color=red>aaa</font> 一九七五年，09-03 20:47:58-09-03 20:47:59<font color=blue>1975,</font><br>154/419 427.96-432.15 <font color=red>n</font> 美国数学家奥斯卡南福德终于向前推进了一大步。09-03 20:47:59-09-03 20:48:02<font color=blue>American mathematician Oscar N. Newman has finally made a significant breakthrough.</font><br>155/419 432.64-433.9 <font color=red>n</font> 他第一次严格证明，09-03 20:48:00-09-03 20:48:02<font color=blue>He first rigorously proved,</font><br>156/419 434.38-437.94 <font color=red>aaa</font> 波尔茨曼方程确实能够从牛顿力学推导出来，09-03 20:48:00-09-03 20:48:02<font color=blue>The Boltzmann equation can indeed be derived from Newtonian mechanics.</font><br>157/419 438.72-440.28 <font color=red>n</font> 整个数学界为之振奋。09-03 20:48:03-09-03 20:48:04<font color=blue>The entire mathematical community is excited.</font><br>158/419 441.13-444.57 <font color=red>hp</font> 然而很快人们发现这座桥仍然没有修通。09-03 20:48:04-09-03 20:48:09<font color=blue>However, people soon found that the bridge was still not repaired.</font><br>159/419 445.3-448.14 <font color=red>n</font> 兰福德的证明只适用于极短的一段时间，09-03 20:48:04-09-03 20:48:09<font color=blue>Lando's proof only applies to a very short period of time.</font><br>160/419 449.07-449.79 <font color=red>aaa</font> 短到什么程度，09-03 20:48:05-09-03 20:48:06<font color=blue>How short can it be?</font><br>161/419 450.36-452.88 <font color=red>de</font> 得到一颗粒子刚刚碰撞了几次，09-03 20:48:06-09-03 20:48:49<font color=blue>I have a particle that has collided with another particle several times.</font><br>162/419 453.51-454.59 <font color=red>n</font> 证明便结束了。09-03 20:48:06-09-03 20:48:09<font color=blue>The proof is complete.</font><br>163/419 455.47-456.73 <font color=red>aaa</font> 原因并不在于计算量，09-03 20:48:07-09-03 20:48:09<font color=blue>The reason is not due to the computational load.</font><br>164/419 457.29-458.81 <font color=red>n</font> 真正困难的在于时间。09-03 20:48:10-09-03 20:48:12<font color=blue>The real difficulty lies in time.</font><br>165/419 460.03-461.65 <font color=red>n</font> 假设两颗粒子第一次相遇，09-03 20:48:10-09-03 20:48:12<font color=blue>Assuming two particles meet for the first time,</font><br>166/419 462.1-463.0 <font color=red>hp</font> 他们彼此陌生，09-03 20:48:11-09-03 20:48:14<font color=blue>They are strangers to each other.</font><br>167/419 463.58-464.84 <font color=red>aaa</font> 统计起来十分简单，09-03 20:48:12-09-03 20:48:13<font color=blue>It's very simple to count.</font><br>168/419 465.46-467.62 <font color=red>xss</font> 可如果他们不断的重复相遇，09-03 20:48:12-09-03 20:48:40<font color=blue>But if they keep encountering each other,</font><br>169/419 468.11-469.85 <font color=red>de</font> 又分别遇见了其他例子，09-03 20:48:13-09-03 20:48:34<font color=blue>I have encountered other examples again.</font><br>170/419 470.23-472.23 <font color=red>n</font> 再经过更多的碰撞重新回来，09-03 20:48:14-09-03 20:48:16<font color=blue>Come back again after more collisions,</font><br>171/419 472.64-476.21 <font color=red>n</font> 他们之间便拥有了共同历史数学家，09-03 20:48:15-09-03 20:48:17<font color=blue>They shared a common history, mathematicians.</font><br>172/419 476.39-479.16 <font color=red>aaa</font> 把这种关系称作相关性 correlation.09-03 20:48:15-09-03 20:48:16<font color=blue>Call this relationship correlation.</font><br>173/419 480.24-481.74 <font color=red>hp</font> 他有一点像人类社会，09-03 20:48:16-09-03 20:48:19<font color=blue>He is a bit like human society.</font><br>174/419 482.46-483.24 <font color=red>n</font> 刚进入大学时，09-03 20:48:17-09-03 20:48:18<font color=blue>Just when I entered university,</font><br>175/419 483.6-484.98 <font color=red>aaa</font> 每个人彼此陌生。09-03 20:48:17-09-03 20:48:19<font color=blue>Everyone is a stranger to each other.</font><br>176/419 485.76-486.84 <font color=red>n</font> 如果统计整个校园，09-03 20:48:18-09-03 20:48:20<font color=blue>If we count the entire campus,</font><br>177/419 487.32-489.3 <font color=red>n</font> 一个学生随即遇见另一个学生。09-03 20:48:19-09-03 20:48:21<font color=blue>A student suddenly encountered another student.</font><br>178/419 489.6-491.22 <font color=red>aaa</font> 分析起来相对容易。09-03 20:48:20-09-03 20:48:21<font color=blue>It's relatively easy to analyze.</font><br>179/419 492.12-492.66 <font color=red>hp</font> 几年之后，09-03 20:48:20-09-03 20:48:23<font color=blue>A few years later,</font><br>180/419 492.96-493.14 <font color=red>n</font> 同学、09-03 20:48:21-09-03 20:48:22<font color=blue>Dear students,</font><br>181/419 493.68-493.98 <font color=red>n</font> 室友、09-03 20:48:22-09-03 20:48:23<font color=blue>Roommate,</font><br>182/419 494.46-494.7 <font color=red>aaa</font> 朋友、09-03 20:48:23-09-03 20:48:23<font color=blue>Dear Friend,</font><br>183/419 495.3-497.58 <font color=red>n</font> 恋人导师不断的交织，09-03 20:48:23-09-03 20:48:25<font color=blue>The relationship coach keeps appearing,</font><br>184/419 498.24-500.82 <font color=red>n</font> 每个人都拥有了越来越复杂的人际网络，09-03 20:48:24-09-03 20:48:26<font color=blue>Everyone has an increasingly complex network of relationships.</font><br>185/419 501.36-502.92 <font color=red>hp</font> 此时再去分析整个校园，09-03 20:48:25-09-03 20:48:28<font color=blue>At this time, analyze the entire campus.</font><br>186/419 503.28-505.5 <font color=red>aaa</font> 人与人之间已经不再独立，09-03 20:48:25-09-03 20:48:27<font color=blue>People are no longer independent of each other.</font><br>187/419 506.46-509.82 <font color=red>n</font> 空气中的例子也会慢慢的拥有这样的记忆。09-03 20:48:26-09-03 20:48:29<font color=blue>The examples in the air will also gradually acquire such memories.</font><br>188/419 510.92-513.56 <font color=red>de</font> 今天发生的一次碰撞会影响下一次碰撞，09-03 20:53:28-09-03 20:53:42<font color=blue>The collision that happened today will affect the next one.</font><br>189/419 513.98-516.68 <font color=red>n</font> 下一次碰撞又会改变更多的粒子运动。09-03 20:48:27-09-03 20:48:30<font color=blue>The next collision will change the motion of more particles.</font><br>190/419 517.22-518.72 <font color=red>aaa</font> 随着时间不断的延长，09-03 20:48:28-09-03 20:48:30<font color=blue>As time goes on,</font><br>191/419 519.14-521.96 <font color=red>hp</font> 这些关联像藤蔓一样迅速蔓延，09-03 20:48:29-09-03 20:48:32<font color=blue>These connections spread rapidly like vines.</font><br>192/419 522.44-524.9 <font color=red>n</font> 最终形成一场几乎无法计算的巨网。09-03 20:48:30-09-03 20:48:33<font color=blue>Ultimately, a nearly uncalculable giant net was formed.</font><br>193/419 525.92-528.98 <font color=red>aaa</font> 过去半个世纪几乎所有的证明都会停留在这儿，09-03 20:48:30-09-03 20:48:33<font color=blue>For the past half-century, almost all evidence has been stored here.</font><br>194/419 529.34-532.4 <font color=red>n</font> 因为没有人能够证明这张越来越复杂的关系网，09-03 20:48:31-09-03 20:48:34<font color=blue>Because no one can prove this increasingly complex network,</font><br>195/419 532.64-534.98 <font color=red>hp</font> 最终不会吞噬整个统计规律。09-03 20:48:32-09-03 20:48:36<font color=blue>It will not ultimately consume the entire statistical pattern.</font><br>196/419 535.76-538.82 <font color=red>n</font> 而这也是邓玉后来面对的那道难题，09-03 20:48:33-09-03 20:48:36<font color=blue>And this is also the problem that Deng Yu later faced.</font><br>197/419 540.41-541.67 <font color=red>aaa</font> 韩是炸鸡店里的灵感，09-03 20:48:34-09-03 20:48:35<font color=blue>Korean fried chicken is the inspiration.</font><br>198/419 542.78-546.2 <font color=red>n</font> 许多数学突破都不是发生在黑板上的推演。09-03 20:48:35-09-03 20:48:37<font color=blue>Many mathematical breakthroughs don't happen on the blackboard.</font><br>199/419 546.96-548.34 <font color=red>de</font> 庞家来登上一辆马车，09-03 20:48:36-09-03 20:49:01<font color=blue>The Pang family got into a carriage.</font><br>200/419 548.85-551.91 <font color=red>bg</font> 忽然意识到一组函束之间隐藏的深刻联系。09-03 20:48:36-09-03 20:49:29<font color=blue>Suddenly realized the profound connection hidden between a set of packages.</font><br>201/419 552.84-555.2 <font color=red>aaa</font> 牛顿看到苹果落地开始思考，09-03 20:48:37-09-03 20:48:39<font color=blue>Newton, while watching an apple fall from a tree, began to think.</font><br>202/419 555.44-556.85 <font color=red>hp</font> 天体为何不会掉下来？09-03 20:48:38-09-03 20:48:41<font color=blue>Why don't celestial bodies fall down?</font><br>203/419 557.58-559.17 <font color=red>n</font> 阿基米德跨进浴缸，09-03 20:48:38-09-03 20:48:41<font color=blue>Archimedes stepped into the bathtub,</font><br>204/419 559.53-563.84 <font color=red>n</font> 喊出了那句流传千古的优瑞卡灯玉的故事，09-03 20:48:39-09-03 20:48:42<font color=blue>He exclaimed the legendary story of Ourea, a lamp made from jade.</font><br>205/419 564.38-565.34 <font color=red>aaa</font> 多了一点烟火气。09-03 20:48:40-09-03 20:48:41<font color=blue>More warmth and coziness.</font><br>206/419 566.57-567.17 <font color=red>xss</font> 二零二一年，09-03 20:48:41-09-03 20:49:01<font color=blue>2021,</font><br>207/419 567.23-570.22 <font color=red>hp</font> 他在美国罗德岛普罗韦斯登访问期间，09-03 20:48:42-09-03 20:48:46<font color=blue>During his visit to Providence, Rhode Island in the United States,</font><br>208/419 570.77-572.51 <font color=red>n</font> 走进了一家韩式炸鸡店，09-03 20:48:42-09-03 20:48:44<font color=blue>Walked into a Korean fried chicken restaurant,</font><br>209/419 573.21-574.47 <font color=red>aaa</font> 就在等待食物的时候，09-03 20:48:43-09-03 20:48:44<font color=blue>While waiting for the food,</font><br>210/419 574.83-579.16 <font color=red>n</font> 一个想法突然出现困扰数学家几十年的那张碰撞之网，09-03 20:48:44-09-03 20:48:48<font color=blue>A sudden idea has been troubling mathematicians for decades, the collision network.</font><br>211/419 579.69-581.25 <font color=red>aaa</font> 为什么一定要整体计算，09-03 20:48:45-09-03 20:48:47<font color=blue>Why is it necessary to calculate everything in one go?</font><br>212/419 581.87-583.25 <font color=red>n</font> 如果把它剪开呢？09-03 20:48:46-09-03 20:48:48<font color=blue>What if it's cut?</font><br>213/419 584.14-584.92 <font color=red>hp</font> 后来郑宇回忆，09-03 20:48:47-09-03 20:48:49<font color=blue>Later, Zheng Yu recalled that...</font><br>214/419 585.25-586.6 <font color=red>aaa</font> 那并不是一个完整的证明，09-03 20:48:47-09-03 20:48:49<font color=blue>It is not a complete proof.</font><br>215/419 586.86-588.45 <font color=red>n</font> 只是一个十分朴素的念头。09-03 20:48:48-09-03 20:48:51<font color=blue>It's just a very simple idea.</font><br>216/419 589.36-590.56 <font color=red>n</font> 如果长时间太复杂，09-03 20:48:49-09-03 20:48:51<font color=blue>If it's too long or complicated,</font><br>217/419 590.98-592.84 <font color=red>aaa</font> 那就把长时段切成许多。09-03 20:48:50-09-03 20:48:52<font color=blue>Break down the long-term into many pieces.</font><br>218/419 593.14-596.21 <font color=red>de</font> 短时间这听上去像是一句常识，09-03 20:48:50-09-03 20:49:23<font color=blue>In a short time, this sounds like common sense.</font><br>219/419 596.9-600.3 <font color=red>hp</font> 而困难在于把这种直觉变成可以粘着主角的数学。09-03 20:48:51-09-03 20:48:58<font color=blue>The difficulty lies in turning this intuition into a mathematical model that can be applied to the protagonist.</font><br>220/419 601.4-601.94 <font color=red>n</font> 过去几十年，09-03 20:48:52-09-03 20:48:54<font color=blue>Over the past few decades,</font><br>221/419 602.28-605.13 <font color=red>n</font> 数学家面对的是一部没有尽头的电影，09-03 20:48:53-09-03 20:48:55<font color=blue>Mathematicians face an endless movie,</font><br>222/419 605.86-608.02 <font color=red>aaa</font> 每一次碰撞都会影响下一次碰撞，09-03 20:48:53-09-03 20:48:55<font color=blue>Each collision affects the next,</font><br>223/419 608.44-609.82 <font color=red>n</font> 新的关系不断叠加，09-03 20:48:54-09-03 20:48:58<font color=blue>New relationships are constantly being layered on top of each other.</font><br>224/419 610.25-612.73 <font color=red>aaa</font> 最后形成一条几乎无限长的历史。09-03 20:48:55-09-03 20:48:57<font color=blue>Finally, a nearly infinite history is formed.</font><br>225/419 613.67-615.85 <font color=red>n</font> 邓裕的合作者扎赫尔哈尼啊，09-03 20:48:56-09-03 20:48:58<font color=blue>Deng Yu's collaborator, Zahir Hani.</font><br>226/419 616.03-617.829 <font color=red>aaa</font> 他也是陶哲轩带读博士生，09-03 20:48:59-09-03 20:49:01<font color=blue>He is also the supervisor of Tao Zhe-xuan's doctoral students.</font><br>227/419 618.49-621.62 <font color=red>hp</font> 首次想到的是把这部电影剪成无数短片，09-03 20:49:00-09-03 20:49:04<font color=blue>The first idea was to cut the movie into countless short films.</font><br>228/419 622.46-623.6 <font color=red>n</font> 每一段都足够剪短，09-03 20:49:00-09-03 20:49:03<font color=blue>Each paragraph is concise and to the point.</font><br>229/419 624.04-626.08 <font color=red>n</font> 每一段都能够被严格的分析。09-03 20:49:01-09-03 20:49:03<font color=blue>Each paragraph can be strictly analyzed.</font><br>230/419 626.67-629.96 <font color=red>xss</font> 然后在证明这些短片重新拼接以后，09-03 20:49:02-09-03 20:49:40<font color=blue>Then, after proving that these clips can be reassembled,</font><br>231/419 630.44-632.0 <font color=red>de</font> 依然保持整体的逻辑一致。09-03 20:49:03-09-03 20:49:23<font color=blue>Still maintain overall logical consistency.</font><br>232/419 632.94-635.05 <font color=red>aaa</font> 而真正的心意并不仅仅是切，09-03 20:49:03-09-03 20:49:05<font color=blue>But the true intention is not just to cut,</font><br>233/419 635.94-636.48 <font color=red>n</font> 更重要的是，09-03 20:49:04-09-03 20:49:05<font color=blue>More importantly,</font><br>234/419 636.6-639.6 <font color=red>n</font> 他们建立了一本前所未有的总账本。09-03 20:49:05-09-03 20:49:06<font color=blue>They created an unprecedented ledger.</font><br>235/419 640.92-642.96 <font color=red>hp</font> 数学家把所有可能发生的碰撞、09-03 20:49:05-09-03 20:49:09<font color=blue>Mathematicians have considered all possible collisions,</font><br>236/419 643.08-644.56 <font color=red>n</font> 历史一两次碰撞、09-03 20:49:06-09-03 20:49:07<font color=blue>Historical collisions,</font><br>237/419 645.0-645.66 <font color=red>aaa</font> 十次碰撞、09-03 20:49:07-09-03 20:49:08<font color=blue>Ten collisions,</font><br>238/419 646.11-650.13 <font color=red>n</font> 一百次碰撞以及各种交叉重复的关系全部记录下来。09-03 20:49:08-09-03 20:49:11<font color=blue>Record all 100 collisions and various cross-related relationships.</font><br>239/419 650.6-654.17 <font color=red>n</font> 在逐层分析每一种观念究竟会产生多大的影响。09-03 20:49:08-09-03 20:49:12<font color=blue>Analyze the impact of each concept on a layer-by-layer basis.</font><br>240/419 655.07-655.31 <font color=red>aaa</font> 过去，09-03 20:49:09-09-03 20:49:10<font color=blue>In the past,</font><br>241/419 655.49-659.7 <font color=red>hp</font> 人们担心那些不断重复的碰撞会像滚雪球一样越来越大，09-03 20:49:10-09-03 20:49:14<font color=blue>People are concerned that the constant collisions will escalate like a snowball,</font><br>242/419 660.11-661.73 <font color=red>aaa</font> 最后彻底摧毁统计规律，09-03 20:49:11-09-03 20:49:12<font color=blue>Completely destroy the statistical laws,</font><br>243/419 662.41-664.5 <font color=red>n</font> 而邓于证明事实并非如此，09-03 20:49:12-09-03 20:49:14<font color=blue>And Deng proved that this was not the case.</font><br>244/419 665.37-666.75 <font color=red>de</font> 重复碰撞确实存在，09-03 20:54:14-09-03 20:54:25<font color=blue>There are indeed repeated collisions.</font><br>245/419 667.22-668.64 <font color=red>aaa</font> 共同历史也确实存在。09-03 20:49:14-09-03 20:49:15<font color=blue>There is indeed a common history.</font><br>246/419 669.09-669.33 <font color=red>n</font> 可是，09-03 20:49:14-09-03 20:49:15<font color=blue>However,</font><br>247/419 669.39-672.09 <font color=red>n</font> 他们造成的影响始终受到严格控制，09-03 20:49:15-09-03 20:49:16<font color=blue>Their impact is always strictly controlled.</font><br>248/419 672.45-673.65 <font color=red>hp</font> 并不会无限积累。09-03 20:49:16-09-03 20:49:18<font color=blue>It cannot be accumulated indefinitely.</font><br>249/419 674.2-675.28 <font color=red>aaa</font> 那些最复杂的观念，09-03 20:49:16-09-03 20:49:17<font color=blue>The most complex concepts,</font><br>250/419 675.67-677.47 <font color=red>n</font> 更像是湖面上一圈一圈，09-03 20:49:17-09-03 20:49:20<font color=blue>More like a circle of ripples on the surface of a lake,</font><br>251/419 677.71-678.85 <font color=red>n</font> 彼此交错的涟漪。09-03 20:49:18-09-03 20:49:20<font color=blue>Intertwined ripples.</font><br>252/419 679.62-680.52 <font color=red>aaa</font> 他们不断相遇，09-03 20:49:19-09-03 20:49:19<font color=blue>They keep meeting,</font><br>253/419 681.02-682.04 <font color=red>hp</font> 干扰又不断，09-03 20:49:19-09-03 20:49:21<font color=blue>Constant interference,</font><br>254/419 682.34-682.94 <font color=red>aaa</font> 彼此抵消。09-03 20:49:20-09-03 20:49:21<font color=blue>Cancel each other out.</font><br>255/419 683.71-685.03 <font color=red>n</font> 局部虽然充满了波动，09-03 20:49:21-09-03 20:49:23<font color=blue>The area is full of fluctuations.</font><br>256/419 685.42-687.25 <font color=red>n</font> 却没有改变整个湖面的形状。09-03 20:49:22-09-03 20:49:24<font color=blue>But it didn't change the shape of the entire lake.</font><br>257/419 687.95-688.19 <font color=red>aaa</font> 于是，09-03 20:49:22-09-03 20:49:23<font color=blue>Therefore,</font><br>258/419 688.43-690.11 <font color=red>hp</font> 一个持续了一百多年的猜想，09-03 20:49:23-09-03 20:49:26<font color=blue>A century-long speculation,</font><br>259/419 690.6-697.35 <font color=red>de</font> 终于第一次拥有了完整证明波尔兹曼相信的独立性并不会因为时间变长而彻底消失。09-03 20:49:24-09-03 20:50:30<font color=blue>Finally, we have a complete proof that the independence assumed by Boltzmann will not completely disappear even as time goes on.</font><br>260/419 698.02-702.03 <font color=red>n</font> 牛顿事件的例子最终能够自然过渡到波尔兹曼。09-03 20:49:24-09-03 20:49:27<font color=blue>Newton's law of motion can eventually transition naturally to Boltzmann.</font><br>261/419 702.33-708.48 <font color=red>aaa</font> 所描述的统计世界希尔伯特那座桥终于跨过了最难的一段合谷。09-03 20:49:25-09-03 20:49:28<font color=blue>The bridge in the statistical world of Hilbert has finally crossed the most difficult part of the gap.</font><br>262/419 710.17-714.46 <font color=red>de</font> 为什么数学一定要证明很多人看到这里仍然会问一个问题，09-03 20:49:26-09-03 20:50:06<font color=blue>Why does mathematics need proof? Many people are still wondering after seeing this.</font><br>263/419 715.21-719.53 <font color=red>n</font> 既然布尔兹曼方程一百多年以来一直能够正确的预测实验结果，09-03 20:49:27-09-03 20:49:31<font color=blue>Since the Boltzmann equation has been able to correctly predict experimental results for over a century,</font><br>264/419 719.95-726.19 <font color=red>hp</font> 为什么还一定要证明答案恰恰藏在数学与实验之间最深刻的区别里。09-03 20:49:27-09-03 20:49:32<font color=blue>Why is it necessary to prove that the answer lies in the deepest difference between mathematics and experiment?</font><br>265/419 727.15-727.989 <font color=red>n</font> 实验告诉我们，09-03 20:49:28-09-03 20:49:30<font color=blue>The experiment tells us that...</font><br>266/419 728.23-730.15 <font color=red>aaa</font> 到目前为止它一直成立。09-03 20:49:29-09-03 20:49:30<font color=blue>So far, it has been successful.</font><br>267/419 730.57-731.71 <font color=red>bg</font> 而数学追问的是，09-03 20:49:30-09-03 20:50:00<font color=blue>And mathematics is about questioning,</font><br>268/419 732.07-733.57 <font color=red>n</font> 为什么它必须成立，09-03 20:49:31-09-03 20:49:32<font color=blue>Why must it be true?</font><br>269/419 734.17-735.73 <font color=red>aaa</font> 这是两种完全不同的知识。09-03 20:49:31-09-03 20:49:33<font color=blue>These are two completely different kinds of knowledge.</font><br>270/419 736.51-739.99 <font color=red>n</font> 假设一位医生发现一种药已经治好了一百万病人，09-03 20:49:32-09-03 20:49:36<font color=blue>Suppose a doctor discovers that a drug has cured one million patients.</font><br>271/419 740.41-742.27 <font color=red>n</font> 我们会相信这种药大概率有效，09-03 20:49:33-09-03 20:49:36<font color=blue>We will believe that this medicine is probably effective.</font><br>272/419 743.17-746.17 <font color=red>hp</font> 可是科学家依然会继续寻找药物作用机制。09-03 20:49:33-09-03 20:49:38<font color=blue>However, scientists will continue to search for the mechanism of drug action.</font><br>273/419 746.77-748.75 <font color=red>aaa</font> 因为只有知道他为什么有效，09-03 20:49:34-09-03 20:49:36<font color=blue>Because only knowing why it works,</font><br>274/419 749.17-751.46 <font color=red>n</font> 才能预测什么时候它会失效，09-03 20:49:37-09-03 20:49:38<font color=blue>Predict when it will fail.</font><br>275/419 751.88-753.98 <font color=red>aaa</font> 什么时候能够推广到新的疾病，09-03 20:49:38-09-03 20:49:39<font color=blue>When can it be applied to new diseases?</font><br>276/419 754.76-755.72 <font color=red>n</font> 数学也是如此。09-03 20:49:38-09-03 20:49:40<font color=blue>Mathematics is also like that.</font><br>277/419 756.2-757.04 <font color=red>hp</font> 一次实验成功，09-03 20:49:39-09-03 20:49:41<font color=blue>One experiment succeeded.</font><br>278/419 757.4-758.36 <font color=red>n</font> 一万次实验成功，09-03 20:49:40-09-03 20:49:41<font color=blue>One thousand experiments succeeded,</font><br>279/419 758.48-761.48 <font color=red>aaa</font> 甚至一亿次实验成功都无法代替证明。09-03 20:49:40-09-03 20:49:42<font color=blue>Even a billion successful experiments cannot replace proof.</font><br>280/419 762.14-764.48 <font color=red>n</font> 因为实验始终属于过去证明，09-03 20:49:41-09-03 20:49:42<font color=blue>Because experiments are always retrospective,</font><br>281/419 764.72-768.74 <font color=red>xss</font> 面对的是未来哲学家卡尔波普尔曾经指出，09-03 20:49:42-09-03 20:50:15<font color=blue>According to the future philosopher Karl Popper,</font><br>282/419 769.1-771.98 <font color=red>n</font> 科学理论永远无法因为无数次的验证。09-03 20:49:43-09-03 20:49:44<font color=blue>Scientific theories can never be proven, only validated.</font><br>283/419 772.4-773.18 <font color=red>hp</font> 而最终成立，09-03 20:49:43-09-03 20:49:46<font color=blue>And finally, it was established.</font><br>284/419 773.66-775.52 <font color=red>aaa</font> 他们只能暂时没有被推翻。09-03 20:49:44-09-03 20:49:45<font color=blue>They can only be temporarily not overthrown.</font><br>285/419 776.3-780.87 <font color=red>n</font> 今天看到的一千只白天鹅并不能证明实验上不存在黑天鹅，09-03 20:49:45-09-03 20:49:51<font color=blue>Seeing a thousand white swans doesn't prove that black swans don't exist in experiments.</font><br>286/419 781.829-783.51 <font color=red>n</font> 数学采取的是另一条路径。09-03 20:49:45-09-03 20:49:47<font color=blue>Mathematics takes a different path.</font><br>287/419 783.87-786.03 <font color=red>aaa</font> 他试图建立一种演绎链条，09-03 20:49:46-09-03 20:49:48<font color=blue>He tried to establish a deductive chain.</font><br>288/419 786.33-789.15 <font color=red>hp</font> 让结论从公理一步一步推导出来。09-03 20:49:47-09-03 20:49:51<font color=blue>Derive the conclusion step by step from axioms.</font><br>289/419 789.75-790.65 <font color=red>n</font> 只要前提成立，09-03 20:49:48-09-03 20:49:51<font color=blue>As long as the conditions are met,</font><br>290/419 791.01-794.01 <font color=red>aaa</font> 无论第一百万次还是第一百万零，09-03 20:49:49-09-03 20:49:51<font color=blue>Whether it's the millionth or the million and first,</font><br>291/419 794.13-794.37 <font color=red>n</font> 一次，09-03 20:49:52-09-03 20:49:52<font color=blue>Once,</font><br>292/419 794.79-795.93 <font color=red>n</font> 结论都不会改变。09-03 20:49:52-09-03 20:49:54<font color=blue>The conclusions will not change.</font><br>293/419 797.01-799.83 <font color=red>hp</font> 欧吉里德两千多年前建立几何学时如此，09-03 20:49:53-09-03 20:49:57<font color=blue>Euclid established geometry over two thousand years ago, and</font><br>294/419 800.19-802.11 <font color=red>aaa</font> 牛顿建立经典力学是如此。09-03 20:49:54-09-03 20:49:55<font color=blue>Newton established classical mechanics.</font><br>295/419 802.41-804.99 <font color=red>n</font> 希尔伯特提出第六问题时也是如此，09-03 20:49:55-09-03 20:49:57<font color=blue>Hilbert posed the sixth problem in a similar way.</font><br>296/419 805.59-807.75 <font color=red>n</font> 他们寻找的并不是越来越多的例子，09-03 20:49:55-09-03 20:49:58<font color=blue>What they are looking for is not more examples,</font><br>297/419 808.05-810.04 <font color=red>xss</font> 而是越来越坚实的基基础。09-03 20:59:58-09-03 21:00:32<font color=blue>Instead, it is becoming a more solid foundation.</font><br>298/419 810.82-811.0 <font color=red>aaa</font> 因此，09-03 20:49:57-09-03 20:49:57<font color=blue>Therefore,</font><br>299/419 811.3-813.4 <font color=red>hp</font> 邓誉完成的不仅仅是一项证明，09-03 20:49:57-09-03 20:50:01<font color=blue>What Deng Yu accomplished was not just a proof,</font><br>300/419 813.58-814.96 <font color=red>aaa</font> 他完成的是一种解释。09-03 20:49:58-09-03 20:49:59<font color=blue>He completed an explanation.</font><br>301/419 815.62-816.1 <font color=red>n</font> 从此以后，09-03 20:49:59-09-03 20:50:00<font color=blue>From now on,</font><br>302/419 816.28-818.68 <font color=red>n</font> 人们知道波尔兹曼方程为什么成立，09-03 20:50:00-09-03 20:50:02<font color=blue>People know why the Boltzmann equation is valid,</font><br>303/419 819.1-821.86 <font color=red>aaa</font> 而不仅仅知道他一直成立这种区别。09-03 20:50:00-09-03 20:50:02<font color=blue>Not just knowing that he has always been in this position.</font><br>304/419 822.16-822.94 <font color=red>n</font> 看似细微，09-03 20:50:01-09-03 20:50:02<font color=blue>Subtle,</font><br>305/419 823.12-827.86 <font color=red>bg</font> 却决定了现代科学与经验主义之间最重要的一道分界线。09-03 20:50:02-09-03 20:51:05<font color=blue>However, it marked the most important dividing line between modern science and empiricism.</font><br>306/419 828.58-829.54 <font color=red>hp</font> 从粒子到文明，09-03 20:50:02-09-03 20:50:06<font color=blue>From particles to civilization,</font><br>307/419 830.62-832.12 <font color=red>n</font> 如果把事野再放大一点，09-03 20:50:03-09-03 20:50:06<font color=blue>If we magnify the situation further,</font><br>308/419 832.42-836.26 <font color=red>n</font> 就会发现邓玉解决的问题的意义早已超出了气体，09-03 20:50:04-09-03 20:50:07<font color=blue>You will find that the problems solved by Deng Yu have already exceeded the scope of gas.</font><br>309/419 836.98-839.32 <font color=red>aaa</font> 它属于今天科学最活跃的一个方向。09-03 20:50:05-09-03 20:50:07<font color=blue>It belongs to one of the most active areas in science today.</font><br>310/419 840.05-840.83 <font color=red>hp</font> 复杂性科学、09-03 20:50:07-09-03 20:50:09<font color=blue>Complexity science,</font><br>311/419 841.31-841.37 <font color=red>n</font> complexity,09-03 20:50:08-09-03 20:50:09<font color=blue>complexity,</font><br>312/419 842.03-842.09 <font color=red>de</font> science.09-03 20:50:09-09-03 20:50:14<font color=blue>Science</font><br>313/419 843.35-843.95 <font color=red>aaa</font> 一九七二年，09-03 20:50:09-09-03 20:50:10<font color=blue>1972,</font><br>314/419 844.19-845.09 <font color=red>n</font> 诺贝尔奖获得者、09-03 20:50:10-09-03 20:50:12<font color=blue>Nobel laureate,</font><br>315/419 845.57-849.89 <font color=red>n</font> 凝聚态物理学家菲利浦安德森发表了一篇不足五页的论文，09-03 20:50:11-09-03 20:50:15<font color=blue>A condensed matter physicist, Philip Anderson, published a paper that was less than five pages long.</font><br>316/419 850.31-851.63 <font color=red>hp</font> 题目只有三个单词，09-03 20:50:12-09-03 20:50:15<font color=blue>The title consists of only three words.</font><br>317/419 852.47-853.19 <font color=red>aaa</font> more is different,09-03 20:50:12-09-03 20:50:13<font color=blue>more is different,</font><br>318/419 854.21-855.53 <font color=red>n</font> 更多就是不同。09-03 20:50:13-09-03 20:50:15<font color=blue>More is different.</font><br>319/419 856.37-859.01 <font color=red>aaa</font> 这篇文章后来成为复杂科学的奠基之作。09-03 20:50:14-09-03 20:50:16<font color=blue>This article later became a cornerstone of complex systems science.</font><br>320/419 859.79-863.33 <font color=red>de</font> 安德森提出了一个看似简单却改变了许多学科的问题。09-03 20:50:15-09-03 20:50:46<font color=blue>Anderson posed a seemingly simple but transformative question.</font><br>321/419 864.17-866.03 <font color=red>n</font> 当组成部分越来越多的时候，09-03 20:50:15-09-03 20:50:17<font color=blue>As the number of components increases,</font><br>322/419 866.51-868.07 <font color=red>hp</font> 整体会出现新的规律，09-03 20:50:16-09-03 20:50:19<font color=blue>A new pattern will emerge overall.</font><br>323/419 868.49-873.9 <font color=red>n</font> 而这些规律无法集仅依靠观察单个部分获得一个神经元，09-03 20:50:17-09-03 20:50:20<font color=blue>However, these patterns cannot be obtained by simply observing a single neuron.</font><br>324/419 873.96-876.96 <font color=red>xss</font> 不会思考及十亿个神经元能够产生意识，09-03 20:50:17-09-03 20:50:54<font color=blue>Thinking and ten billion neurons cannot produce consciousness.</font><br>325/419 877.44-881.4 <font color=red>aaa</font> 一个人不会形成市场几千万投资者共同交易会，09-03 20:50:18-09-03 20:50:20<font color=blue>A person cannot form a market where millions of investors trade together.</font><br>326/419 881.58-882.48 <font color=red>n</font> 形成金融系统。09-03 20:50:19-09-03 20:50:20<font color=blue>Form a financial system.</font><br>327/419 883.14-884.76 <font color=red>hp</font> 一只蚂蚁没有城市规划，09-03 20:50:20-09-03 20:50:22<font color=blue>An ant has no urban planning.</font><br>328/419 885.24-885.72 <font color=red>n</font> 数百万只，09-03 20:50:20-09-03 20:50:21<font color=blue>Millions,</font><br>329/419 885.84-887.88 <font color=red>n</font> 蚂蚁却能够建造复杂的巢穴。09-03 20:50:21-09-03 20:50:23<font color=blue>Ants can build complex nests.</font><br>330/419 888.78-891.42 <font color=red>aaa</font> 这就是科学家今天所说的涌现，09-03 20:50:22-09-03 20:50:23<font color=blue>This is what scientists call emergence today.</font><br>331/419 891.96-892.44 <font color=red>n</font> emergence,09-03 20:50:22-09-03 20:50:23<font color=blue>emergence,</font><br>332/419 893.4-894.96 <font color=red>hp</font> 整体拥有自己的规律。09-03 20:50:23-09-03 20:50:25<font color=blue>Has its own rules.</font><br>333/419 895.98-897.3 <font color=red>n</font> 今天从人工智能、09-03 20:50:24-09-03 20:50:25<font color=blue>Today from artificial intelligence,</font><br>334/419 897.6-900.97 <font color=red>aaa</font> 大语言模型到互联网传播态系统金融市场，09-03 20:50:24-09-03 20:50:26<font color=blue>Large language models to the internet dissemination system financial market,</font><br>335/419 901.27-903.13 <font color=red>n</font> 再到城市交通和社会网络，09-03 20:50:25-09-03 20:50:29<font color=blue>To the city's transportation and social networks,</font><br>336/419 903.55-906.73 <font color=red>n</font> 几乎所有的复杂系统都围绕着同一个问题展开，09-03 20:50:26-09-03 20:50:29<font color=blue>Almost all complex systems revolve around the same problem,</font><br>337/419 907.81-909.31 <font color=red>hp</font> 局部不断相互作用，09-03 20:50:26-09-03 20:50:29<font color=blue>Local interactions are constantly occurring,</font><br>338/419 909.61-911.59 <font color=red>aaa</font> 整体为什么仍然保持稳定？09-03 20:50:27-09-03 20:50:29<font color=blue>Why is the overall situation still stable?</font><br>339/419 912.85-914.53 <font color=red>n</font> 统计物理不过是这一问题。09-03 20:50:29-09-03 20:50:32<font color=blue>Statistical physics is just a problem of this.</font><br>340/419 914.77-916.63 <font color=red>n</font> 最经典也最成熟的起点，09-03 20:50:30-09-03 20:50:32<font color=blue>The most classic and mature starting point,</font><br>341/419 917.29-920.11 <font color=red>aaa</font> 邓宇解决的是其中最基础的那一块拼图。09-03 20:50:31-09-03 20:50:32<font color=blue>Deng Yu solved the most basic piece of the puzzle.</font><br>342/419 920.65-921.13 <font color=red>hp</font> 他证明，09-03 20:50:31-09-03 20:50:33<font color=blue>He proved,</font><br>343/419 921.25-923.23 <font color=red>de</font> 在一个充满随机碰撞的世界里，09-03 20:50:32-09-03 20:50:59<font color=blue>In a world full of random collisions,</font><br>344/419 923.65-925.51 <font color=red>n</font> 整体秩序并不是一种巧合，09-03 20:50:33-09-03 20:50:35<font color=blue>The overall order is not a coincidence.</font><br>345/419 926.05-929.77 <font color=red>n</font> 它能够从最基本的运动中一步一步的推导出来。09-03 20:50:33-09-03 20:50:37<font color=blue>It can be derived step by step from the most basic movements.</font><br>346/419 930.5-931.22 <font color=red>aaa</font> 这是为什么？09-03 20:50:34-09-03 20:50:35<font color=blue>Why is this?</font><br>347/419 931.46-934.28 <font color=red>hp</font> 菲尔兹奖委员会在颁奖词中特别强调，09-03 20:50:34-09-03 20:50:38<font color=blue>The Fields Medal Committee specifically emphasized in the award citation,</font><br>348/419 934.64-938.0 <font color=red>aaa</font> 他不仅解决了希尔伯特第六问题的重要部分，09-03 20:50:35-09-03 20:50:37<font color=blue>He not only solved an important part of Hilbert's Sixth Problem,</font><br>349/419 938.48-942.92 <font color=red>n</font> 更重要的是他建立了一套分析长期复杂观联的新方法。09-03 20:50:36-09-03 20:50:40<font color=blue>More importantly, he established a new method for analyzing long-term and complex relationships.</font><br>350/419 943.58-947.0 <font color=red>n</font> 这套方法未来很有可能继续进入团流理论、09-03 20:50:37-09-03 20:50:42<font color=blue>This method is likely to continue entering the field of group theory in the future.</font><br>351/419 947.3-948.86 <font color=red>aaa</font> 等离子体物理量子、09-03 20:50:38-09-03 20:50:39<font color=blue>Plasma Physics Quantum,</font><br>352/419 949.04-953.78 <font color=red>hp</font> 多体系统以及更多尚未被完全理解的复杂系统基础。09-03 20:50:39-09-03 20:50:44<font color=blue>The foundation of multi-body systems and other complex, largely unexplored systems.</font><br>353/419 953.9-955.76 <font color=red>aaa</font> 数学的发展往往慢得惊人。09-03 20:50:40-09-03 20:50:41<font color=blue>The development of mathematics is often surprisingly slow.</font><br>354/419 956.48-957.8 <font color=red>n</font> 欧吉里德建立几何时，09-03 20:55:41-09-03 20:55:42<font color=blue>Euclid established geometry,</font><br>355/419 958.16-961.71 <font color=red>n</font> 不知道他后来会成为现代工程和建筑的语言。09-03 20:50:41-09-03 20:50:45<font color=blue>I don't know if he will become a language of modern engineering and architecture.</font><br>356/419 962.31-964.23 <font color=red>aaa</font> 尼曼研究弯曲空间时，09-03 20:50:42-09-03 20:50:43<font color=blue>When Niemann studied curved space,</font><br>357/419 964.65-966.39 <font color=red>n</font> 也不会想到半个世纪之后，09-03 20:50:43-09-03 20:50:46<font color=blue>I never thought that half a century later,</font><br>358/419 966.69-969.33 <font color=red>aaa</font> 爱因斯坦会借助他建立广义相对论。09-03 20:50:44-09-03 20:50:46<font color=blue>Einstein built his theory of general relativity.</font><br>359/419 970.11-970.35 <font color=red>hp</font> 今天，09-03 20:50:45-09-03 20:50:46<font color=blue>Today,</font><br>360/419 970.53-971.97 <font color=red>n</font> 我们同样无法准确预测，09-03 20:50:47-09-03 20:50:49<font color=blue>We also cannot accurately predict,</font><br>361/419 972.21-975.09 <font color=red>n</font> 邓玉这些数学工具未来会进入哪些领域？09-03 20:50:48-09-03 20:50:53<font color=blue>In which fields will Deng Yu's mathematical tools be applied in the future?</font><br>362/419 976.59-978.33 <font color=red>aaa</font> 为什么我们如此渴望秩序？09-03 20:50:48-09-03 20:50:50<font color=blue>Why do we crave order so much?</font><br>363/419 979.11-981.69 <font color=red>de</font> 如果说邓玉证明的是一条数学定理，09-03 20:50:49-09-03 20:51:22<font color=blue>If it is said that Deng Yu proved a mathematical theorem,</font><br>364/419 981.93-985.71 <font color=red>hp</font> 那么他回应的其实是一种比数学更古老的焦虑。09-03 20:50:50-09-03 20:50:54<font color=blue>What he responded to was an anxiety that is older than mathematics.</font><br>365/419 986.61-990.52 <font color=red>n</font> 人类一直生活在不确定性之中仰望星空，09-03 20:50:50-09-03 20:50:54<font color=blue>Humans have always lived in uncertainty, gazing up at the stars.</font><br>366/419 990.82-992.44 <font color=red>n</font> 希望知道洪水何时到来。09-03 20:50:54-09-03 20:50:55<font color=blue>I want to know when the flood will come.</font><br>367/419 992.92-994.0 <font color=red>hp</font> 农夫观察云沉，09-03 20:50:54-09-03 20:50:57<font color=blue>Farmer observes the clouds,</font><br>368/419 994.6-995.86 <font color=red>xss</font> 猜测明天是否下雨。09-03 20:50:55-09-03 20:51:20<font color=blue>Guess whether it will rain tomorrow.</font><br>369/419 996.4-998.26 <font color=red>n</font> 航海者依靠星辰辨识方向。09-03 20:50:56-09-03 20:50:58<font color=blue>Navigators rely on stars to determine direction.</font><br>370/419 999.04-1000.54 <font color=red>aaa</font> 今天我们打开手机，09-03 20:50:56-09-03 20:50:58<font color=blue>Today we open our phones,</font><br>371/419 1000.9-1001.92 <font color=red>n</font> 查看天气预报、09-03 20:50:57-09-03 20:50:58<font color=blue>Check the weather forecast,</font><br>372/419 1002.4-1002.64 <font color=red>hp</font> 导航、09-03 20:50:58-09-03 20:50:59<font color=blue>Navigation,</font><br>373/419 1002.76-1002.94 <font color=red>aaa</font> 软件、09-03 20:50:58-09-03 20:50:59<font color=blue>Software,</font><br>374/419 1003.48-1004.02 <font color=red>n</font> 股市行情、09-03 20:50:59-09-03 20:51:00<font color=blue>Stock market trends,</font><br>375/419 1004.98-1005.46 <font color=red>n</font> 人工智能，09-03 20:51:00-09-03 20:51:00<font color=blue>Artificial intelligence,</font><br>376/419 1005.58-1007.08 <font color=red>de</font> 开始预测蛋白质结构、09-03 20:51:00-09-03 20:51:22<font color=blue>Start predicting protein structures,</font><br>377/419 1007.5-1011.1 <font color=red>aaa</font> 地震风险和疾病演化技术不断变化。09-03 20:51:01-09-03 20:51:03<font color=blue>The technology for assessing earthquake risk and modeling disease evolution is constantly changing.</font><br>378/419 1011.52-1013.08 <font color=red>hp</font> 人类始终在做同一件事情，09-03 20:51:02-09-03 20:51:05<font color=blue>Humans have always been doing the same thing.</font><br>379/419 1013.44-1015.06 <font color=red>n</font> 努力让未来变得可以理解。09-03 20:51:02-09-03 20:51:04<font color=blue>Strive to make the future understandable.</font><br>380/419 1015.96-1018.06 <font color=red>n</font> 科学的发展并没有消灭随机，09-03 20:51:03-09-03 20:51:05<font color=blue>Scientific development has not eliminated randomness.</font><br>381/419 1018.72-1019.74 <font color=red>aaa</font> 它只是不断的研究，09-03 20:51:04-09-03 20:51:05<font color=blue>It's just continuous research.</font><br>382/419 1020.11-1023.53 <font color=red>n</font> 哪些随机可以忽略哪些闺女值得相信。09-03 20:51:05-09-03 20:51:08<font color=blue>Which random can be ignored, which female is trustworthy.</font><br>383/419 1024.43-1028.69 <font color=red>n</font> 一枚硬币没有人能够预测下一次一定是正面还是反面。09-03 20:51:06-09-03 20:51:09<font color=blue>No one can predict whether the next coin flip will be heads or tails.</font><br>384/419 1029.53-1030.49 <font color=red>bg</font> 抛制一万次以后，09-03 20:51:06-09-03 20:51:46<font color=blue>After throwing it a thousand times,</font><br>385/419 1030.73-1033.91 <font color=red>hp</font> 你们却能够相当准确的预测正反面的比例，09-03 20:51:07-09-03 20:51:12<font color=blue>You are able to predict the ratio of positive and negative reviews with a reasonable degree of accuracy.</font><br>386/419 1034.81-1038.77 <font color=red>aaa</font> 没有人能够预测空气中某一颗分子下一秒会飞向哪里。09-03 20:51:08-09-03 20:51:11<font color=blue>No one can predict where a molecule in the air will fly to next second.</font><br>387/419 1039.49-1042.55 <font color=red>de</font> 可所有人都相信明天气压不会毫无征兆的，09-03 20:56:10-09-03 20:56:25<font color=blue>Everyone expects the weather to change without warning.</font><br>388/419 1042.73-1043.99 <font color=red>n</font> 变成今天的一百倍。09-03 20:51:09-09-03 20:51:11<font color=blue>Become a hundred times better today.</font><br>389/419 1045.07-1048.43 <font color=red>n</font> 文明难以运转的基础并不是完全消除偶然，09-03 20:51:11-09-03 20:51:13<font color=blue>Civilization cannot function without completely eliminating chance.</font><br>390/419 1048.85-1052.09 <font color=red>aaa</font> 而是在偶然之中找到那些足够稳定的结构。09-03 20:51:12-09-03 20:51:14<font color=blue>And in the process, they found those structures that were stable enough.</font><br>391/419 1053.23-1054.61 <font color=red>n</font> 社会本身也是如此，09-03 20:51:13-09-03 20:51:14<font color=blue>Society is also like that.</font><br>392/419 1055.21-1057.97 <font color=red>hp</font> 没有人能够预测一场革命何时爆发，09-03 20:51:13-09-03 20:51:17<font color=blue>No one can predict when a revolution will break out.</font><br>393/419 1058.33-1061.69 <font color=red>n</font> 也没有人能够预测下一家伟大的公司诞生在哪。09-03 20:51:14-09-03 20:51:17<font color=blue>No one can predict where the next great company will emerge.</font><br>394/419 1062.29-1063.97 <font color=red>n</font> 但人口迁移经济周期、09-03 20:51:15-09-03 20:51:17<font color=blue>But population migration and economic cycles,</font><br>395/419 1064.33-1064.87 <font color=red>aaa</font> 技术扩散、09-03 20:51:15-09-03 20:51:16<font color=blue>Technology diffusion,</font><br>396/419 1065.29-1066.79 <font color=red>aaa</font> 城市增长依然呈现，09-03 20:51:17-09-03 20:51:18<font color=blue>Urban growth is still evident.</font><br>397/419 1067.27-1069.49 <font color=red>n</font> 长期可以研究可以解释的规律，09-03 20:51:17-09-03 20:51:20<font color=blue>Long-term, we can study and explain the rules.</font><br>398/419 1070.27-1070.63 <font color=red>hp</font> 历史学、09-03 20:51:18-09-03 20:51:20<font color=blue>History,</font><br>399/419 1070.99-1071.35 <font color=red>n</font> 经济学、09-03 20:51:19-09-03 20:51:20<font color=blue>Economics,</font><br>400/419 1071.65-1076.51 <font color=red>aaa</font> 社会学以及今天兴起的复杂系统科学都在试图回答同一个问题。09-03 20:51:19-09-03 20:51:22<font color=blue>Sociology and the emerging field of complex systems science are both trying to answer the same question.</font><br>401/419 1076.93-1079.81 <font color=red>hp</font> 但无数拥有自由意志的个体聚集在一起，09-03 20:51:20-09-03 20:51:23<font color=blue>But countless individuals with free will came together,</font><br>402/419 1079.97-1083.62 <font color=red>n</font> 是为什么整体会呈现出超越个体的新秩序？09-03 20:51:21-09-03 20:51:24<font color=blue>Why does the whole emerge as a new order that transcends individual?</font><br>403/419 1084.43-1086.99 <font color=red>n</font> 这也是为什么邓誉证明的远不只是空气，09-03 20:51:22-09-03 20:51:25<font color=blue>This is also why Deng Yu's proof extends beyond just air,</font><br>404/419 1087.56-1089.18 <font color=red>xss</font> 他证明的是一种现代科学，09-03 20:51:22-09-03 20:51:46<font color=blue>He proved a modern science.</font><br>405/419 1089.49-1090.54 <font color=red>de</font> 始终坚守的信念。09-03 20:51:23-09-03 20:51:41<font color=blue>Unwavering belief.</font><br>406/419 1091.17-1091.35 <font color=red>aaa</font> 复杂，09-03 20:51:24-09-03 20:51:24<font color=blue>Complex,</font><br>407/419 1091.59-1092.43 <font color=red>de</font> 并不意味着混乱，09-03 20:51:24-09-03 20:51:43<font color=blue>It doesn't mean chaos.</font><br>408/419 1092.89-1094.85 <font color=red>hp</font> 随机也并不意味着无序。09-03 20:51:25-09-03 20:51:28<font color=blue>Randomness doesn't necessarily mean disorder.</font><br>409/419 1096.05-1099.25 <font color=red>aaa</font> 或许人类所有重要的知识都建立在这种信念之上。09-03 20:51:26-09-03 20:51:27<font color=blue>Perhaps all important human knowledge is built upon this belief.</font><br>410/419 1099.9-1101.58 <font color=red>n</font> 我们相信太阳明天依旧会升起，09-03 20:51:26-09-03 20:51:29<font color=blue>We believe that the sun will rise tomorrow,</font><br>411/419 1101.91-1103.77 <font color=red>n</font> 相信桥梁不会突然崩塌，09-03 20:51:27-09-03 20:51:29<font color=blue>I don't believe bridges will suddenly collapse.</font><br>412/419 1104.18-1105.86 <font color=red>aaa</font> 相信飞机能够飞越大洋。09-03 20:51:28-09-03 20:51:30<font color=blue>I believe that airplanes can fly across oceans.</font><br>413/419 1106.12-1107.68 <font color=red>hp</font> 也相信一个刚刚出生的孩子，09-03 20:51:29-09-03 20:51:32<font color=blue>I also believe that a newborn baby,</font><br>414/419 1107.99-1111.26 <font color=red>n</font> 可以通过学习理解几百年前刘顿留下的禁遇，09-03 20:51:30-09-03 20:51:33<font color=blue>By studying and understanding the ancient laws left by Liu Dan,</font><br>415/419 1111.52-1113.32 <font color=red>n</font> 以及今天邓宇完成证明，09-03 20:51:31-09-03 20:51:33<font color=blue>and today, Deng Yu completed the proof.</font><br>416/419 1114.3-1115.86 <font color=red>aaa</font> 文明并没有战胜不确定性，09-03 20:51:31-09-03 20:51:33<font color=blue>Civilization has not overcome uncertainty.</font><br>417/419 1116.25-1117.93 <font color=red>hp</font> 他只是不断的扩大秩序，09-03 20:51:33-09-03 20:51:36<font color=blue>He is constantly expanding the order.</font><br>418/419 1118.169-1119.25 <font color=red>aaa</font> 能够照亮的边界，09-03 20:51:34-09-03 20:51:35<font color=blue>The boundary that can be illuminated,</font><br>419/419 1119.88-1122.7 <font color=red>n</font> 而数学始终走在那束光的最前面。09-03 20:51:34-09-03 20:51:37<font color=blue>And mathematics has always been at the forefront of this light.</font><br>