1/419 <font color=red>hp</font> 09-03 21:02:52-09-03 21:02:55 In 2026, Professor Deng Yu of the Mathematics Department at ...<br>2/419 <font color=red>bg</font> 09-03 20:51:20-09-03 20:51:28 By the way, I'd like to mention this.<br>3/419 <font color=red></font> 09-03 20:51:21-09-03 20:51:28 So far, the University of Ziyang has...<br>4/419 <font color=red></font> 09-03 20:52:40-09-03 20:52:58 Ten scholars have already won the Fields Medal.<br>5/419 <font color=red>aaa</font> 09-03 20:51:24-09-03 20:51:28 And this is the award that is known as the Nobel Prize in ma...<br>6/419 <font color=red></font> 09-03 20:51:23-09-03 20:51:28 This time,<br>7/419 <font color=red>aaa</font> 09-03 20:52:52-09-03 20:52:58 The reward was a hundred and twenty-five years of questionin...<br>8/419 <font color=red>hp</font> 09-03 20:51:26-09-03 20:51:28 Why a world full of chance can produce order.<br>9/419 <font color=red>bg</font> 09-03 20:51:30-09-03 20:51:43 From Newton, Poincaré, Hilbert to today's Deng Xiaoping, gen...<br>10/419 <font color=red>de</font> 09-03 20:51:27-09-03 20:51:40 Trying to answer the same question,<br>11/419 <font color=red>aaa</font> 09-03 20:52:38-09-03 20:52:42 The laws of physics that are difficult to establish,<br>12/419 <font color=red>xss</font> 09-03 20:51:28-09-03 20:51:43 It seems like just experience,<br>13/419 <font color=red>n</font> 09-03 20:52:55-09-03 20:52:58 It can be derived step by step from the most basic movements...<br>14/419 <font color=red></font> 09-03 20:51:31-09-03 20:51:40 The answer to this question,<br>15/419 <font color=red></font> 09-03 20:51:32-09-03 20:51:40 What is the foundation of modern science?<br>16/419 <font color=red>n</font> 09-03 20:51:36-09-03 20:51:43 Why can the world make us live in a wonderful contradiction ...<br>17/419 <font color=red>hp</font> 09-03 20:51:34-09-03 20:51:40 On the one hand,<br>18/419 <font color=red>aaa</font> 09-03 20:51:37-09-03 20:51:44 We know that the world is full of randomness.<br>19/419 <font color=red></font> 09-03 20:51:47-09-03 20:52:00 No one knew which leaf would be blown away by the next gust ...<br>20/419 <font color=red></font> 09-03 20:51:49-09-03 20:52:00 No one knew where the next drop of rain would fall, on the r...<br>21/419 <font color=red></font> 09-03 20:51:38-09-03 20:52:00 No one can predict the location of a molecule in the air aft...<br>22/419 <font color=red>hp</font> 09-03 20:51:50-09-03 20:52:00 On the other hand,<br>23/419 <font color=red>de</font> 09-03 20:51:52-09-03 20:52:00 We are constantly relying on predictions about life.<br>24/419 <font color=red>n</font> 09-03 20:51:53-09-03 20:52:00 The weather forecast tells me,<br>25/419 <font color=red>xss</font> 09-03 20:51:56-09-03 20:52:00 Will it rain tomorrow?<br>26/419 <font color=red>bg</font> 09-03 20:51:59-09-03 20:52:12 Engineers calculate how airplanes fly.<br>27/419 <font color=red>hp</font> 09-03 20:52:05-09-03 20:52:14 Physicians in the Atlantic use fluid dynamics to explain blo...<br>28/419 <font color=red>aaa</font> 09-03 20:52:00-09-03 20:52:14 Spacecraft rely on precise calculations to traverse millions...<br>29/419 <font color=red></font> 09-03 20:52:02-09-03 20:52:14 If the world really sinks,<br>30/419 <font color=red></font> 09-03 20:52:03-09-03 20:52:14 None of this will happen.<br>31/419 <font color=red>n</font> 09-03 20:52:07-09-03 20:52:14 Modern science can establish a very important premise,<br>32/419 <font color=red>de</font> 09-03 20:52:10-09-03 20:52:15 Believe that there is order behind chaos.<br>33/419 <font color=red>xss</font> 09-03 20:52:12-09-03 20:52:26 The idea of a daughter is hidden in the chance encounter.<br>34/419 <font color=red>bg</font> 09-03 20:52:15-09-03 20:52:28 It sounds like it's almost a given today.<br>35/419 <font color=red></font> 09-03 20:52:14-09-03 20:52:28 In the 19th century,<br>36/419 <font color=red></font> 09-03 20:52:17-09-03 20:52:28 He was once a fierce intellectual debate.<br>37/419 <font color=red></font> 09-03 20:52:19-09-03 20:52:28 At that time, people had already accepted Newtonian mechanic...<br>38/419 <font color=red>aaa</font> 09-03 20:52:22-09-03 20:52:28 As long as you know the position and velocity of an object, ...<br>39/419 <font color=red>n</font> 09-03 20:52:25-09-03 20:52:28 Where will I go next.<br>40/419 <font color=red>hp</font> 09-03 20:52:26-09-03 20:52:30 The entire universe is like a giant clock.<br>41/419 <font color=red>de</font> 09-03 20:52:28-09-03 20:52:41 Each gear rotates according to a fixed pattern.<br>42/419 <font color=red>xss</font> 09-03 20:52:29-09-03 20:52:42 However,<br>43/419 <font color=red>bg</font> 09-03 20:52:32-09-03 20:52:42 When the research object becomes a cloud of air,<br>44/419 <font color=red></font> 09-03 20:52:33-09-03 20:52:42 The situation suddenly got out of control.<br>45/419 <font color=red></font> 09-03 20:52:36-09-03 20:52:42 How many molecules are there in the air?<br>46/419 <font color=red>hp</font> 09-03 20:52:42-09-03 20:52:58 The air in an ordinary room contains approximately 10 to the...<br>47/419 <font color=red>n</font> 09-03 20:52:37-09-03 20:52:42 A molecule,<br>48/419 <font color=red>bg</font> 09-03 20:52:47-09-03 20:52:58 It is about 10 million times more than the number of stars i...<br>49/419 <font color=red>de</font> 09-03 20:52:44-09-03 20:52:58 They are constantly flying, colliding, and changing directio...<br>50/419 <font color=red></font> 09-03 20:52:48-09-03 20:52:58 The number of collisions that occur every second is almost u...<br>51/419 <font color=red></font> 09-03 20:53:33-09-03 20:53:43 No calculation can track.<br>52/419 <font color=red></font> 09-03 20:52:49-09-03 20:52:58 Every particle's movement,<br>53/419 <font color=red>aaa</font> 09-03 20:54:11-09-03 20:54:25 If Newton's method still applies,<br>54/419 <font color=red>bg</font> 09-03 20:52:59-09-03 20:53:14 So now physics is almost impossible to keep up with.<br>55/419 <font color=red>xss</font> 09-03 20:52:58-09-03 20:53:14 Science needs another language, Boltzmann.<br>56/419 <font color=red></font> 09-03 20:53:00-09-03 20:53:14 Believe in something that no one can prove.<br>57/419 <font color=red>n</font> 09-03 20:53:03-09-03 20:53:14 In 1872, Austrian physicist Ludwig Boltzmann proposed a bold...<br>58/419 <font color=red>aaa</font> 09-03 20:53:55-09-03 20:54:08 Since no one can track every particle,<br>59/419 <font color=red>bg</font> 09-03 20:53:57-09-03 20:54:10 Then he won't track him anymore.<br>60/419 <font color=red>hp</font> 09-03 20:53:06-09-03 20:53:16 Investigate the overall Boltzmann,<br>61/419 <font color=red></font> 09-03 20:53:07-09-03 20:53:16 The concern is no longer where that molecule has gone.<br>62/419 <font color=red>de</font> 09-03 20:53:11-09-03 20:53:16 On average, how many particles will appear here?<br>63/419 <font color=red>aaa</font> 09-03 20:53:10-09-03 20:53:16 What kind of speed do they have?<br>64/419 <font color=red></font> 09-03 20:53:13-09-03 20:53:29 This is the later famous Volterra equation.<br>65/419 <font color=red>bg</font> 09-03 20:53:17-09-03 20:53:29 Today, almost all statistics,<br>66/419 <font color=red></font> 09-03 20:53:18-09-03 20:53:29 Physics,<br>67/419 <font color=red>xss</font> 09-03 20:53:23-09-03 20:53:29 Thermodynamics,<br>68/419 <font color=red>n</font> 09-03 20:53:21-09-03 20:53:29 Gas,<br>69/419 <font color=red></font> 09-03 20:53:24-09-03 20:53:29 The principles of dynamics are based on this idea.<br>70/419 <font color=red>aaa</font> 09-03 20:53:26-09-03 20:53:29 It means a fundamental shift in perspective.<br>71/419 <font color=red>de</font> 09-03 20:53:28-09-03 20:53:42 Newton studied each marble.<br>72/419 <font color=red>hp</font> 09-03 20:53:29-09-03 20:53:42 Boltzmann,<br>73/419 <font color=red>bg</font> 09-03 20:53:30-09-03 20:53:42 The study focuses on the entire beach.<br>74/419 <font color=red>n</font> 09-03 20:53:35-09-03 20:53:42 Newton described the steps of a pedestrian.<br>75/419 <font color=red></font> 09-03 20:53:40-09-03 20:53:56 Boltzmann started to count the number of people in the entir...<br>76/419 <font color=red></font> 09-03 20:53:36-09-03 20:53:43 Surprisingly,<br>77/419 <font color=red>aaa</font> 09-03 20:53:39-09-03 20:53:43 This statistical method is remarkably successful.<br>78/419 <font color=red>xss</font> 09-03 20:53:41-09-03 20:53:56 He accurately explained the temperature,<br>79/419 <font color=red>de</font> 09-03 20:54:05-09-03 20:54:10 Stress,<br>80/419 <font color=red>n</font> 09-03 20:53:47-09-03 20:53:56 Diffusion merchants and the second law of thermodynamics.<br>81/419 <font color=red>bg</font> 09-03 20:53:44-09-03 20:53:56 Later,<br>82/419 <font color=red></font> 09-03 20:53:51-09-03 20:53:56 People have even used it to establish modern aircraft engine...<br>83/419 <font color=red>hp</font> 09-03 20:53:48-09-03 20:53:56 However,<br>84/419 <font color=red></font> 09-03 20:53:49-09-03 20:53:56 Boltzmann's life was not smooth.<br>85/419 <font color=red>de</font> 09-03 20:53:53-09-03 20:53:56 Late 19th century,<br>86/419 <font color=red>n</font> 09-03 20:53:59-09-03 20:54:10 Many European physicists still doubted the existence of atom...<br>87/419 <font color=red></font> 09-03 20:54:00-09-03 20:54:10 They consider the so-called atom to be merely a convenient a...<br>88/419 <font color=red>hp</font> 09-03 20:54:03-09-03 20:54:10 No one has ever truly seen him.<br>89/419 <font color=red></font> 09-03 20:54:04-09-03 20:54:10 They almost defended their theories with everything they had...<br>90/419 <font color=red></font> 09-03 20:55:00-09-03 20:55:11 1906,<br>91/419 <font color=red>aaa</font> 09-03 20:55:22-09-03 20:55:29 Due to prolonged academic disputes and depression,<br>92/419 <font color=red>xss</font> 09-03 20:54:08-09-03 20:54:25 He ended his life during a vacation in Italy.<br>93/419 <font color=red></font> 09-03 20:54:10-09-03 20:54:25 Two years later,<br>94/419 <font color=red></font> 09-03 20:54:16-09-03 20:54:25 French physicist Jean Perrin demonstrated the existence of a...<br>95/419 <font color=red>bg</font> 09-03 20:54:14-09-03 20:54:25 The first convincing proof of the existence of atoms.<br>96/419 <font color=red></font> 09-03 20:56:16-09-03 20:56:26 Einstein's previous theoretical analysis of Brownian motion ...<br>97/419 <font color=red>hp</font> 09-03 20:54:15-09-03 20:54:25 History is often full of irony,<br>98/419 <font color=red></font> 09-03 20:54:19-09-03 20:54:25 Boltzmann did not wait for his victory.<br>99/419 <font color=red>n</font> 09-03 20:54:20-09-03 20:54:25 Physics stood by him in the end,<br>100/419 <font color=red>de</font> 09-03 20:54:23-09-03 20:54:41 There is no math.<br>101/419 <font color=red>bg</font> 09-03 21:04:27-09-03 21:04:36 Because everyone believes that the Boltzmann equation is cor...<br>102/419 <font color=red>bg</font> 09-03 20:55:43-09-03 20:55:53 However, no one could answer a more fundamental question.<br>103/419 <font color=red>bg</font> 09-03 20:54:26-09-03 20:54:41 Why is it necessarily correct?<br>104/419 <font color=red></font> 09-03 20:54:27-09-03 20:54:41 Bertie's Sixth Question.<br>105/419 <font color=red></font> 09-03 20:54:30-09-03 20:54:41 In 1900,<br>106/419 <font color=red>xss</font> 09-03 20:54:38-09-03 20:54:56 At the International Mathematical Congress in Paris, German ...<br>107/419 <font color=red>hp</font> 09-03 20:54:34-09-03 20:54:41 I hope they can guide mathematics for the next hundred years...<br>108/419 <font color=red>n</font> 09-03 20:54:32-09-03 20:54:41 Later,<br>109/419 <font color=red>aaa</font> 09-03 20:54:37-09-03 20:54:41 People call them the Hilbert problems.<br>110/419 <font color=red>bg</font> 09-03 20:54:43-09-03 20:54:56 The sixth question stands out as being particularly differen...<br>111/419 <font color=red></font> 09-03 20:54:41-09-03 20:54:56 He is talking about physics.<br>112/419 <font color=red>aaa</font> 09-03 20:54:50-09-03 20:54:56 More accurately, he is discussing how to establish a rigorou...<br>113/419 <font color=red></font> 09-03 20:54:48-09-03 20:54:56 This goal sounds abstract.<br>114/419 <font color=red></font> 09-03 20:54:45-09-03 20:54:56 To make it easier to explain,<br>115/419 <font color=red>n</font> 09-03 20:54:52-09-03 20:54:56 Let's imagine the problem as a bridge.<br>116/419 <font color=red>de</font> 09-03 20:54:54-09-03 20:55:11 One end of the bridge is Newton.<br>117/419 <font color=red>hp</font> 09-03 20:54:56-09-03 20:55:11 Here is an example,<br>118/419 <font color=red>bg</font> 09-03 20:54:58-09-03 20:55:11 They collided like beads.<br>119/419 <font color=red></font> 09-03 20:55:02-09-03 20:55:11 Strictly adhere to Newton's laws of motion.<br>120/419 <font color=red>n</font> 09-03 20:55:04-09-03 20:55:11 The middle of the bridge is Boltzmann.<br>121/419 <font color=red>aaa</font> 09-03 20:55:06-09-03 20:55:11 There are no specific examples here.<br>122/419 <font color=red></font> 09-03 20:55:07-09-03 20:55:23 Only probability distributions and statistical laws remain.<br>123/419 <font color=red>xss</font> 09-03 20:55:10-09-03 20:55:23 At the other end of the bridge,<br>124/419 <font color=red>bg</font> 09-03 20:55:13-09-03 20:55:23 This is fluid mechanics.<br>125/419 <font color=red></font> 09-03 20:55:14-09-03 20:55:23 Air is no longer a collection of particles,<br>126/419 <font color=red></font> 09-03 20:55:15-09-03 20:55:26 It turned into a continuous flow of wind.<br>127/419 <font color=red>xss</font> 09-03 20:56:11-09-03 20:56:26 The ocean is no longer a collection of individual drops,<br>128/419 <font color=red>n</font> 09-03 20:55:17-09-03 20:55:25 And became capable of calculating speed,<br>129/419 <font color=red>hp</font> 09-03 20:55:18-09-03 20:55:26 Overall stress and turbulence.<br>130/419 <font color=red>de</font> 09-03 20:55:19-09-03 20:55:26 Three Worlds describes the same reality,<br>131/419 <font color=red>bg</font> 09-03 20:55:27-09-03 20:55:41 Just observing the scale is getting bigger.<br>132/419 <font color=red>xss</font> 09-03 20:55:29-09-03 20:55:41 If Newton was studying how a soldier walks,<br>133/419 <font color=red></font> 09-03 20:55:30-09-03 20:55:41 Then Boltzmann started to study the entire team, up to fluid...<br>134/419 <font color=red></font> 09-03 20:55:32-09-03 20:55:41 What people see is how a military unit moves.<br>135/419 <font color=red>bg</font> 09-03 20:56:27-09-03 20:56:40 Or, put it in a more everyday way.<br>136/419 <font color=red>n</font> 09-03 20:55:33-09-03 20:55:41 Liu Doun focuses on a person's footsteps.<br>137/419 <font color=red></font> 09-03 20:55:36-09-03 20:55:41 Boltzmann statistics describe the overall population of a st...<br>138/419 <font color=red>hp</font> 09-03 20:55:38-09-03 20:55:41 The Navier-Stokes equation describes the tidal flow of a cit...<br>139/419 <font color=red>de</font> 09-03 20:55:40-09-03 20:55:53 Three descriptions that match each other,<br>140/419 <font color=red>aaa</font> 09-03 20:55:41-09-03 20:55:53 However, it is still lacking in strict mathematical connecti...<br>141/419 <font color=red></font> 09-03 20:55:44-09-03 20:55:53 Especially the first step.<br>142/419 <font color=red></font> 09-03 20:55:49-09-03 20:55:53 Why are there so many examples of people who chase Newton's ...<br>143/419 <font color=red>n</font> 09-03 20:55:46-09-03 20:55:53 After countless collisions,<br>144/419 <font color=red>hp</font> 09-03 20:55:51-09-03 20:55:53 Will exhibit statistical laws described by the Boltzmann equ...<br>145/419 <font color=red></font> 09-03 20:55:52-09-03 20:56:07 This bridge,<br>146/419 <font color=red>xss</font> 09-03 20:55:53-09-03 20:56:07 People knew it should exist.<br>147/419 <font color=red>xss</font> 09-03 20:57:23-09-03 20:57:39 However, no one has ever been able to fix it.<br>148/419 <font color=red></font> 09-03 21:04:28-09-03 21:04:36 For over a century,<br>149/419 <font color=red></font> 09-03 20:55:57-09-03 20:56:08 Countless mathematicians stopped in the middle of the bridge...<br>150/419 <font color=red>bg</font> 09-03 20:55:55-09-03 20:56:07 They can take their first step.<br>151/419 <font color=red>n</font> 09-03 20:56:00-09-03 20:56:07 You can also see the other shore from afar.<br>152/419 <font color=red>aaa</font> 09-03 20:56:03-09-03 20:56:08 But I could never complete the final stretch, fifty years of...<br>153/419 <font color=red></font> 09-03 20:56:01-09-03 20:56:08 1975,<br>154/419 <font color=red>de</font> 09-03 20:56:04-09-03 20:56:11 American mathematician Oscar N. Newman has finally made a si...<br>155/419 <font color=red>hp</font> 09-03 20:56:05-09-03 20:56:11 He first rigorously proved,<br>156/419 <font color=red>bg</font> 09-03 20:56:10-09-03 20:56:26 The Boltzmann equation can indeed be derived from Newtonian ...<br>157/419 <font color=red></font> 09-03 20:56:12-09-03 20:56:26 The entire mathematical community is excited.<br>158/419 <font color=red></font> 09-03 20:56:18-09-03 20:56:26 However, people soon found that the bridge was still not rep...<br>159/419 <font color=red>aaa</font> 09-03 20:56:20-09-03 20:56:26 Lando's proof only applies to a very short period of time.<br>160/419 <font color=red>n</font> 09-03 20:56:15-09-03 20:56:26 How short can it be?<br>161/419 <font color=red>bg</font> 09-03 20:57:54-09-03 20:58:07 I have a particle that has collided with another particle se...<br>162/419 <font color=red>hp</font> 09-03 20:56:23-09-03 20:56:26 The proof is complete.<br>163/419 <font color=red>de</font> 09-03 20:56:26-09-03 20:56:40 The reason is not due to the computational load.<br>164/419 <font color=red>n</font> 09-03 20:56:29-09-03 20:56:40 The real difficulty lies in time.<br>165/419 <font color=red></font> 09-03 20:56:30-09-03 20:56:40 Assuming two particles meet for the first time,<br>166/419 <font color=red>hp</font> 09-03 20:56:35-09-03 20:56:40 They are strangers to each other.<br>167/419 <font color=red></font> 09-03 20:56:33-09-03 20:56:40 It's very simple to count.<br>168/419 <font color=red>aaa</font> 09-03 20:57:34-09-03 20:57:39 But if they keep encountering each other,<br>169/419 <font color=red>aaa</font> 09-03 20:57:20-09-03 20:57:23 I have encountered other examples again.<br>170/419 <font color=red>aaa</font> 09-03 20:56:37-09-03 20:56:40 Come back again after more collisions,<br>171/419 <font color=red>xss</font> 09-03 20:56:40-09-03 20:56:53 They shared a common history, mathematicians.<br>172/419 <font color=red></font> 09-03 20:56:38-09-03 20:56:54 Call this relationship correlation.<br>173/419 <font color=red></font> 09-03 20:56:43-09-03 20:56:56 He is a bit like human society.<br>174/419 <font color=red>bg</font> 09-03 20:56:41-09-03 20:56:56 Just when I entered university,<br>175/419 <font color=red></font> 09-03 20:56:46-09-03 20:56:56 Everyone is a stranger to each other.<br>176/419 <font color=red>aaa</font> 09-03 20:56:48-09-03 20:56:56 If we count the entire campus,<br>177/419 <font color=red>n</font> 09-03 20:56:49-09-03 20:56:56 A student suddenly encountered another student.<br>178/419 <font color=red>hp</font> 09-03 20:56:50-09-03 20:56:56 It's relatively easy to analyze.<br>179/419 <font color=red>xss</font> 09-03 20:56:57-09-03 20:57:11 A few years later,<br>180/419 <font color=red>de</font> 09-03 20:56:52-09-03 20:56:56 Dear students,<br>181/419 <font color=red>bg</font> 09-03 20:56:59-09-03 20:57:11 Roommate,<br>182/419 <font color=red></font> 09-03 20:57:00-09-03 20:57:11 Dear Friend,<br>183/419 <font color=red></font> 09-03 20:57:02-09-03 20:57:11 The relationship coach keeps appearing,<br>184/419 <font color=red>aaa</font> 09-03 20:57:03-09-03 20:57:11 Everyone has an increasingly complex network of relationship...<br>185/419 <font color=red>hp</font> 09-03 20:57:08-09-03 20:57:11 At this time, analyze the entire campus.<br>186/419 <font color=red>n</font> 09-03 20:57:05-09-03 20:57:11 People are no longer independent of each other.<br>187/419 <font color=red>de</font> 09-03 20:57:10-09-03 20:57:23 The examples in the air will also gradually acquire such mem...<br>188/419 <font color=red>n</font> 09-03 21:04:30-09-03 21:04:36 The collision that happened today will affect the next one.<br>189/419 <font color=red></font> 09-03 20:57:11-09-03 20:57:23 The next collision will change the motion of more particles.<br>190/419 <font color=red>bg</font> 09-03 20:57:12-09-03 20:57:23 As time goes on,<br>191/419 <font color=red></font> 09-03 20:57:14-09-03 20:57:23 These connections spread rapidly like vines.<br>192/419 <font color=red></font> 09-03 20:57:16-09-03 20:57:23 Ultimately, a nearly uncalculable giant net was formed.<br>193/419 <font color=red>hp</font> 09-03 20:57:19-09-03 20:57:23 For the past half-century, almost all evidence has been stor...<br>194/419 <font color=red>n</font> 09-03 20:57:22-09-03 20:57:23 Because no one can prove this increasingly complex network,<br>195/419 <font color=red></font> 09-03 20:57:27-09-03 20:57:39 It will not ultimately consume the entire statistical patter...<br>196/419 <font color=red>n</font> 09-03 20:57:30-09-03 20:57:39 And this is also the problem that Deng Yu later faced.<br>197/419 <font color=red>bg</font> 09-03 20:57:25-09-03 20:57:39 Korean fried chicken is the inspiration.<br>198/419 <font color=red>hp</font> 09-03 20:57:31-09-03 20:57:39 Many mathematical breakthroughs don't happen on the blackboa...<br>199/419 <font color=red>hp</font> 09-03 20:58:19-09-03 20:58:23 The Pang family got into a carriage.<br>200/419 <font color=red></font> 09-03 20:59:30-09-03 20:59:41 Suddenly realized the profound connection hidden between a s...<br>201/419 <font color=red></font> 09-03 20:57:33-09-03 20:57:39 Newton, while watching an apple fall from a tree, began to t...<br>202/419 <font color=red>de</font> 09-03 20:57:35-09-03 20:57:39 Why don't celestial bodies fall down?<br>203/419 <font color=red></font> 09-03 20:57:38-09-03 20:57:53 Archimedes stepped into the bathtub,<br>204/419 <font color=red></font> 09-03 20:57:42-09-03 20:57:53 He exclaimed the legendary story of Ourea, a lamp made from ...<br>205/419 <font color=red>bg</font> 09-03 20:57:41-09-03 20:57:53 More warmth and coziness.<br>206/419 <font color=red>xss</font> 09-03 20:58:20-09-03 20:58:37 2021,<br>207/419 <font color=red>hp</font> 09-03 20:57:46-09-03 20:57:53 During his visit to Providence, Rhode Island in the United S...<br>208/419 <font color=red>n</font> 09-03 20:57:44-09-03 20:57:53 Walked into a Korean fried chicken restaurant,<br>209/419 <font color=red>aaa</font> 09-03 20:57:45-09-03 20:57:53 While waiting for the food,<br>210/419 <font color=red>de</font> 09-03 20:57:52-09-03 20:58:05 A sudden idea has been troubling mathematicians for decades,...<br>211/419 <font color=red></font> 09-03 20:57:49-09-03 20:57:53 Why is it necessary to calculate everything in one go?<br>212/419 <font color=red>xss</font> 09-03 20:57:53-09-03 20:58:05 What if it's cut?<br>213/419 <font color=red></font> 09-03 20:57:56-09-03 20:58:07 Later, Zheng Yu recalled that...<br>214/419 <font color=red>n</font> 09-03 20:57:57-09-03 20:58:07 It is not a complete proof.<br>215/419 <font color=red>aaa</font> 09-03 20:58:00-09-03 20:58:07 It's just a very simple idea.<br>216/419 <font color=red></font> 09-03 20:58:02-09-03 20:58:07 If it's too long or complicated,<br>217/419 <font color=red>hp</font> 09-03 20:58:04-09-03 20:58:07 Break down the long-term into many pieces.<br>218/419 <font color=red>n</font> 09-03 20:59:14-09-03 20:59:21 In a short time, this sounds like common sense.<br>219/419 <font color=red>n</font> 09-03 20:58:13-09-03 20:58:23 The difficulty lies in turning this intuition into a mathema...<br>220/419 <font color=red></font> 09-03 20:58:05-09-03 20:58:22 Over the past few decades,<br>221/419 <font color=red>de</font> 09-03 20:58:08-09-03 20:58:22 Mathematicians face an endless movie,<br>222/419 <font color=red>bg</font> 09-03 20:58:09-09-03 20:58:22 Each collision affects the next,<br>223/419 <font color=red></font> 09-03 20:58:15-09-03 20:58:23 New relationships are constantly being layered on top of eac...<br>224/419 <font color=red>aaa</font> 09-03 20:58:12-09-03 20:58:22 Finally, a nearly infinite history is formed.<br>225/419 <font color=red></font> 09-03 20:58:16-09-03 20:58:23 Deng Yu's collaborator, Zahir Hani.<br>226/419 <font color=red>aaa</font> 09-03 20:58:25-09-03 20:58:37 He is also the supervisor of Tao Zhe-xuan's doctoral student...<br>227/419 <font color=red>bg</font> 09-03 20:58:30-09-03 20:58:37 The first idea was to cut the movie into countless short fil...<br>228/419 <font color=red>de</font> 09-03 20:58:26-09-03 20:58:37 Each paragraph is concise and to the point.<br>229/419 <font color=red></font> 09-03 20:58:27-09-03 20:58:37 Each paragraph can be strictly analyzed.<br>230/419 <font color=red>n</font> 09-03 20:59:56-09-03 21:00:09 Then, after proving that these clips can be reassembled,<br>231/419 <font color=red></font> 09-03 20:59:15-09-03 20:59:32 Still maintain overall logical consistency.<br>232/419 <font color=red>n</font> 09-03 20:58:31-09-03 20:58:37 But the true intention is not just to cut,<br>233/419 <font color=red></font> 09-03 20:58:34-09-03 20:58:37 More importantly,<br>234/419 <font color=red></font> 09-03 20:58:35-09-03 20:58:48 They created an unprecedented ledger.<br>235/419 <font color=red>n</font> 09-03 20:58:41-09-03 20:58:51 Mathematicians have considered all possible collisions,<br>236/419 <font color=red>hp</font> 09-03 20:58:37-09-03 20:58:48 Historical collisions,<br>237/419 <font color=red>bg</font> 09-03 20:58:38-09-03 20:58:51 Ten collisions,<br>238/419 <font color=red>aaa</font> 09-03 20:58:45-09-03 20:58:51 Record all 100 collisions and various cross-related relation...<br>239/419 <font color=red>de</font> 09-03 20:58:46-09-03 20:58:55 Analyze the impact of each concept on a layer-by-layer basis...<br>240/419 <font color=red></font> 09-03 20:58:42-09-03 20:58:51 In the past,<br>241/419 <font color=red></font> 09-03 20:58:49-09-03 20:59:06 People are concerned that the constant collisions will escal...<br>242/419 <font color=red>xss</font> 09-03 20:58:48-09-03 20:58:55 Completely destroy the statistical laws,<br>243/419 <font color=red></font> 09-03 20:58:52-09-03 20:59:01 And Deng proved that this was not the case.<br>244/419 <font color=red></font> 09-03 21:04:31-09-03 21:04:36 There are indeed repeated collisions.<br>245/419 <font color=red>hp</font> 09-03 20:58:53-09-03 20:59:06 There is indeed a common history.<br>246/419 <font color=red>bg</font> 09-03 20:58:56-09-03 20:59:06 However,<br>247/419 <font color=red>n</font> 09-03 20:58:57-09-03 20:59:06 Their impact is always strictly controlled.<br>248/419 <font color=red>aaa</font> 09-03 20:59:00-09-03 20:59:09 It cannot be accumulated indefinitely.<br>249/419 <font color=red></font> 09-03 20:58:59-09-03 20:59:07 The most complex concepts,<br>250/419 <font color=red>xss</font> 09-03 20:59:04-09-03 20:59:18 More like a circle of ripples on the surface of a lake,<br>251/419 <font color=red></font> 09-03 20:59:08-09-03 20:59:21 Intertwined ripples.<br>252/419 <font color=red>de</font> 09-03 20:59:03-09-03 20:59:09 They keep meeting,<br>253/419 <font color=red>bg</font> 09-03 20:59:10-09-03 20:59:21 Constant interference,<br>254/419 <font color=red>hp</font> 09-03 20:59:11-09-03 20:59:21 Cancel each other out.<br>255/419 <font color=red></font> 09-03 20:59:18-09-03 20:59:25 The area is full of fluctuations.<br>256/419 <font color=red>de</font> 09-03 20:59:21-09-03 20:59:32 But it didn't change the shape of the entire lake.<br>257/419 <font color=red>aaa</font> 09-03 20:59:19-09-03 20:59:23 Therefore,<br>258/419 <font color=red>xss</font> 09-03 20:59:22-09-03 20:59:36 A century-long speculation,<br>259/419 <font color=red>n</font> 09-03 21:02:00-09-03 21:02:10 Finally, we have a complete proof that the independence assu...<br>260/419 <font color=red>bg</font> 09-03 20:59:26-09-03 20:59:36 Newton's law of motion can eventually transition naturally t...<br>261/419 <font color=red>n</font> 09-03 20:59:28-09-03 20:59:36 The bridge in the statistical world of Hilbert has finally c...<br>262/419 <font color=red>xss</font> 09-03 21:00:55-09-03 21:01:13 Why does mathematics need proof? Many people are still wonde...<br>263/419 <font color=red></font> 09-03 20:59:36-09-03 20:59:54 Since the Boltzmann equation has been able to correctly pred...<br>264/419 <font color=red>de</font> 09-03 20:59:37-09-03 20:59:54 Why is it necessary to prove that the answer lies in the dee...<br>265/419 <font color=red>hp</font> 09-03 20:59:32-09-03 20:59:41 The experiment tells us that...<br>266/419 <font color=red>aaa</font> 09-03 20:59:33-09-03 20:59:41 So far, it has been successful.<br>267/419 <font color=red>n</font> 09-03 21:00:44-09-03 21:00:58 And mathematics is about questioning,<br>268/419 <font color=red></font> 09-03 20:59:40-09-03 20:59:54 Why must it be true?<br>269/419 <font color=red>bg</font> 09-03 20:59:43-09-03 20:59:54 These are two completely different kinds of knowledge.<br>270/419 <font color=red>n</font> 09-03 20:59:44-09-03 20:59:54 Suppose a doctor discovers that a drug has cured one million...<br>271/419 <font color=red>xss</font> 09-03 20:59:45-09-03 20:59:54 We will believe that this medicine is probably effective.<br>272/419 <font color=red></font> 09-03 20:59:51-09-03 21:00:09 However, scientists will continue to search for the mechanis...<br>273/419 <font color=red>hp</font> 09-03 20:59:48-09-03 20:59:54 Because only knowing why it works,<br>274/419 <font color=red>aaa</font> 09-03 20:59:54-09-03 21:00:09 Predict when it will fail.<br>275/419 <font color=red>bg</font> 09-03 20:59:55-09-03 21:00:09 When can it be applied to new diseases?<br>276/419 <font color=red></font> 09-03 20:59:59-09-03 21:00:10 Mathematics is also like that.<br>277/419 <font color=red>hp</font> 09-03 21:00:02-09-03 21:00:10 One experiment succeeded.<br>278/419 <font color=red>de</font> 09-03 21:00:05-09-03 21:00:10 One thousand experiments succeeded,<br>279/419 <font color=red>xss</font> 09-03 21:00:06-09-03 21:00:24 Even a billion successful experiments cannot replace proof.<br>280/419 <font color=red></font> 09-03 21:00:07-09-03 21:00:27 Because experiments are always retrospective,<br>281/419 <font color=red></font> 09-03 21:01:17-09-03 21:01:27 According to the future philosopher Karl Popper,<br>282/419 <font color=red>bg</font> 09-03 21:00:12-09-03 21:00:25 Scientific theories can never be proven, only validated.<br>283/419 <font color=red></font> 09-03 21:00:16-09-03 21:00:27 And finally, it was established.<br>284/419 <font color=red>aaa</font> 09-03 21:00:13-09-03 21:00:27 They can only be temporarily not overthrown.<br>285/419 <font color=red>de</font> 09-03 21:00:21-09-03 21:00:27 Seeing a thousand white swans doesn't prove that black swans...<br>286/419 <font color=red>n</font> 09-03 21:00:17-09-03 21:00:27 Mathematics takes a different path.<br>287/419 <font color=red></font> 09-03 21:00:18-09-03 21:00:27 He tried to establish a deductive chain.<br>288/419 <font color=red>hp</font> 09-03 21:00:22-09-03 21:00:27 Derive the conclusion step by step from axioms.<br>289/419 <font color=red>xss</font> 09-03 21:00:28-09-03 21:00:42 As long as the conditions are met,<br>290/419 <font color=red>bg</font> 09-03 21:00:29-09-03 21:00:42 Whether it's the millionth or the million and first,<br>291/419 <font color=red>n</font> 09-03 21:00:31-09-03 21:00:42 Once,<br>292/419 <font color=red></font> 09-03 21:00:32-09-03 21:00:42 The conclusions will not change.<br>293/419 <font color=red>aaa</font> 09-03 21:00:36-09-03 21:00:42 Euclid established geometry over two thousand years ago, and<br>294/419 <font color=red></font> 09-03 21:00:33-09-03 21:00:42 Newton established classical mechanics.<br>295/419 <font color=red>hp</font> 09-03 21:00:39-09-03 21:00:42 Hilbert posed the sixth problem in a similar way.<br>296/419 <font color=red></font> 09-03 21:00:42-09-03 21:00:59 What they are looking for is not more examples,<br>297/419 <font color=red></font> 09-03 21:04:36-09-03 21:04:50 Instead, it is becoming a more solid foundation.<br>298/419 <font color=red>de</font> 09-03 21:00:40-09-03 21:00:42 Therefore,<br>299/419 <font color=red></font> 09-03 21:00:50-09-03 21:00:59 What Deng Yu accomplished was not just a proof,<br>300/419 <font color=red>bg</font> 09-03 21:00:43-09-03 21:00:56 He completed an explanation.<br>301/419 <font color=red></font> 09-03 21:00:47-09-03 21:00:59 From now on,<br>302/419 <font color=red>aaa</font> 09-03 21:00:51-09-03 21:00:59 People know why the Boltzmann equation is valid,<br>303/419 <font color=red>hp</font> 09-03 21:00:52-09-03 21:00:59 Not just knowing that he has always been in this position.<br>304/419 <font color=red>de</font> 09-03 21:00:54-09-03 21:00:59 Subtle,<br>305/419 <font color=red></font> 09-03 21:03:19-09-03 21:03:27 However, it marked the most important dividing line between ...<br>306/419 <font color=red>bg</font> 09-03 21:01:01-09-03 21:01:13 From particles to civilization,<br>307/419 <font color=red>n</font> 09-03 21:01:02-09-03 21:01:13 If we magnify the situation further,<br>308/419 <font color=red></font> 09-03 21:01:04-09-03 21:01:13 You will find that the problems solved by Deng Yu have alrea...<br>309/419 <font color=red></font> 09-03 21:01:05-09-03 21:01:13 It belongs to one of the most active areas in science today.<br>310/419 <font color=red>aaa</font> 09-03 21:01:06-09-03 21:01:13 Complexity science,<br>311/419 <font color=red>de</font> 09-03 21:01:09-09-03 21:01:13 complexity,<br>312/419 <font color=red>n</font> 09-03 21:01:16-09-03 21:01:27 Science<br>313/419 <font color=red>hp</font> 09-03 21:01:12-09-03 21:01:13 1972,<br>314/419 <font color=red></font> 09-03 21:01:13-09-03 21:01:27 Nobel laureate,<br>315/419 <font color=red></font> 09-03 21:01:20-09-03 21:01:27 A condensed matter physicist, Philip Anderson, published a p...<br>316/419 <font color=red>aaa</font> 09-03 21:01:22-09-03 21:01:27 The title consists of only three words.<br>317/419 <font color=red>bg</font> 09-03 21:01:14-09-03 21:01:27 more is different,<br>318/419 <font color=red>hp</font> 09-03 21:01:24-09-03 21:01:27 More is different.<br>319/419 <font color=red>de</font> 09-03 21:01:25-09-03 21:01:40 This article later became a cornerstone of complex systems s...<br>320/419 <font color=red></font> 09-03 21:02:34-09-03 21:02:42 Anderson posed a seemingly simple but transformative questio...<br>321/419 <font color=red>xss</font> 09-03 21:01:27-09-03 21:01:43 As the number of components increases,<br>322/419 <font color=red>bg</font> 09-03 21:01:28-09-03 21:01:43 A new pattern will emerge overall.<br>323/419 <font color=red>n</font> 09-03 21:01:30-09-03 21:01:43 However, these patterns cannot be obtained by simply observi...<br>324/419 <font color=red></font> 09-03 21:02:46-09-03 21:02:55 Thinking and ten billion neurons cannot produce consciousnes...<br>325/419 <font color=red></font> 09-03 21:01:33-09-03 21:01:43 A person cannot form a market where millions of investors tr...<br>326/419 <font color=red></font> 09-03 21:01:35-09-03 21:01:43 Form a financial system.<br>327/419 <font color=red>hp</font> 09-03 21:01:37-09-03 21:01:43 An ant has no urban planning.<br>328/419 <font color=red>aaa</font> 09-03 21:01:36-09-03 21:01:43 Millions,<br>329/419 <font color=red></font> 09-03 21:01:39-09-03 21:01:57 Ants can build complex nests.<br>330/419 <font color=red>de</font> 09-03 21:01:45-09-03 21:01:57 This is what scientists call emergence today.<br>331/419 <font color=red>bg</font> 09-03 21:01:46-09-03 21:01:57 emergence,<br>332/419 <font color=red>n</font> 09-03 21:01:47-09-03 21:01:57 Has its own rules.<br>333/419 <font color=red></font> 09-03 21:01:49-09-03 21:01:57 Today from artificial intelligence,<br>334/419 <font color=red></font> 09-03 21:01:50-09-03 21:01:57 Large language models to the internet dissemination system f...<br>335/419 <font color=red>hp</font> 09-03 21:01:53-09-03 21:01:57 To the city's transportation and social networks,<br>336/419 <font color=red>aaa</font> 09-03 21:01:55-09-03 21:01:57 Almost all complex systems revolve around the same problem,<br>337/419 <font color=red>xss</font> 09-03 21:01:57-09-03 21:02:10 Local interactions are constantly occurring,<br>338/419 <font color=red>bg</font> 09-03 21:01:58-09-03 21:02:10 Why is the overall situation still stable?<br>339/419 <font color=red></font> 09-03 21:02:01-09-03 21:02:10 Statistical physics is just a problem of this.<br>340/419 <font color=red></font> 09-03 21:02:03-09-03 21:02:10 The most classic and mature starting point,<br>341/419 <font color=red>aaa</font> 09-03 21:02:06-09-03 21:02:10 Deng Yu solved the most basic piece of the puzzle.<br>342/419 <font color=red>de</font> 09-03 21:02:08-09-03 21:02:10 He proved,<br>343/419 <font color=red></font> 09-03 21:03:03-09-03 21:03:14 In a world full of random collisions,<br>344/419 <font color=red></font> 09-03 21:02:09-09-03 21:02:25 The overall order is not a coincidence.<br>345/419 <font color=red>bg</font> 09-03 21:02:12-09-03 21:02:27 It can be derived step by step from the most basic movements...<br>346/419 <font color=red>hp</font> 09-03 21:02:10-09-03 21:02:24 Why is this?<br>347/419 <font color=red></font> 09-03 21:02:17-09-03 21:02:27 The Fields Medal Committee specifically emphasized in the aw...<br>348/419 <font color=red>n</font> 09-03 21:02:14-09-03 21:02:27 He not only solved an important part of Hilbert's Sixth Prob...<br>349/419 <font color=red>aaa</font> 09-03 21:02:20-09-03 21:02:27 More importantly, he established a new method for analyzing ...<br>350/419 <font color=red>xss</font> 09-03 21:02:22-09-03 21:02:42 This method is likely to continue entering the field of grou...<br>351/419 <font color=red></font> 09-03 21:02:18-09-03 21:02:27 Plasma Physics Quantum,<br>352/419 <font color=red>bg</font> 09-03 21:02:30-09-03 21:02:42 The foundation of multi-body systems and other complex, larg...<br>353/419 <font color=red>de</font> 09-03 21:02:21-09-03 21:02:27 The development of mathematics is often surprisingly slow.<br>354/419 <font color=red>hp</font> 09-03 21:04:34-09-03 21:04:36 Euclid established geometry,<br>355/419 <font color=red></font> 09-03 21:02:32-09-03 21:02:42 I don't know if he will become a language of modern engineer...<br>356/419 <font color=red>hp</font> 09-03 21:02:29-09-03 21:02:42 When Niemann studied curved space,<br>357/419 <font color=red>aaa</font> 09-03 21:02:35-09-03 21:02:42 I never thought that half a century later,<br>358/419 <font color=red>n</font> 09-03 21:02:37-09-03 21:02:42 Einstein built his theory of general relativity.<br>359/419 <font color=red>de</font> 09-03 21:02:40-09-03 21:02:42 Today,<br>360/419 <font color=red></font> 09-03 21:02:42-09-03 21:02:55 We also cannot accurately predict,<br>361/419 <font color=red>n</font> 09-03 21:02:45-09-03 21:02:55 In which fields will Deng Yu's mathematical tools be applied...<br>362/419 <font color=red>bg</font> 09-03 21:02:43-09-03 21:02:55 Why do we crave order so much?<br>363/419 <font color=red>bg</font> 09-03 21:03:53-09-03 21:04:04 If it is said that Deng Yu proved a mathematical theorem,<br>364/419 <font color=red></font> 09-03 21:02:48-09-03 21:02:55 What he responded to was an anxiety that is older than mathe...<br>365/419 <font color=red>aaa</font> 09-03 21:02:51-09-03 21:02:55 Humans have always lived in uncertainty, gazing up at the st...<br>366/419 <font color=red>de</font> 09-03 21:02:54-09-03 21:02:55 I want to know when the flood will come.<br>367/419 <font color=red>xss</font> 09-03 21:02:55-09-03 21:03:12 Farmer observes the clouds,<br>368/419 <font color=red>aaa</font> 09-03 21:03:46-09-03 21:03:50 Guess whether it will rain tomorrow.<br>369/419 <font color=red>bg</font> 09-03 21:02:57-09-03 21:03:13 Navigators rely on stars to determine direction.<br>370/419 <font color=red>aaa</font> 09-03 21:02:59-09-03 21:03:14 Today we open our phones,<br>371/419 <font color=red>hp</font> 09-03 21:03:02-09-03 21:03:14 Check the weather forecast,<br>372/419 <font color=red></font> 09-03 21:03:05-09-03 21:03:14 Navigation,<br>373/419 <font color=red>n</font> 09-03 21:03:07-09-03 21:03:14 Software,<br>374/419 <font color=red>de</font> 09-03 21:03:09-09-03 21:03:14 Stock market trends,<br>375/419 <font color=red></font> 09-03 21:03:10-09-03 21:03:27 Artificial intelligence,<br>376/419 <font color=red></font> 09-03 21:03:54-09-03 21:04:04 Start predicting protein structures,<br>377/419 <font color=red>xss</font> 09-03 21:03:16-09-03 21:03:37 The technology for assessing earthquake risk and modeling di...<br>378/419 <font color=red></font> 09-03 21:03:20-09-03 21:03:27 Humans have always been doing the same thing.<br>379/419 <font color=red>bg</font> 09-03 21:03:17-09-03 21:03:27 Strive to make the future understandable.<br>380/419 <font color=red>aaa</font> 09-03 21:03:21-09-03 21:03:27 Scientific development has not eliminated randomness.<br>381/419 <font color=red>n</font> 09-03 21:03:23-09-03 21:03:27 It's just continuous research.<br>382/419 <font color=red>hp</font> 09-03 21:03:25-09-03 21:03:27 Which random can be ignored, which female is trustworthy.<br>383/419 <font color=red>de</font> 09-03 21:03:27-09-03 21:03:39 No one can predict whether the next coin flip will be heads ...<br>384/419 <font color=red>de</font> 09-03 21:04:24-09-03 21:04:36 After throwing it a thousand times,<br>385/419 <font color=red>aaa</font> 09-03 21:03:32-09-03 21:03:39 You are able to predict the ratio of positive and negative r...<br>386/419 <font color=red>bg</font> 09-03 21:03:28-09-03 21:03:39 No one can predict where a molecule in the air will fly to n...<br>387/419 <font color=red>aaa</font> 09-03 21:04:35-09-03 21:04:36 Everyone expects the weather to change without warning.<br>388/419 <font color=red></font> 09-03 21:03:29-09-03 21:03:39 Become a hundred times better today.<br>389/419 <font color=red></font> 09-03 21:03:33-09-03 21:03:39 Civilization cannot function without completely eliminating ...<br>390/419 <font color=red>hp</font> 09-03 21:03:35-09-03 21:03:39 And in the process, they found those structures that were st...<br>391/419 <font color=red>n</font> 09-03 21:03:36-09-03 21:03:40 Society is also like that.<br>392/419 <font color=red>xss</font> 09-03 21:03:40-09-03 21:03:50 No one can predict when a revolution will break out.<br>393/419 <font color=red></font> 09-03 21:03:42-09-03 21:03:50 No one can predict where the next great company will emerge.<br>394/419 <font color=red>bg</font> 09-03 21:03:43-09-03 21:03:50 But population migration and economic cycles,<br>395/419 <font color=red></font> 09-03 21:03:39-09-03 21:03:50 Technology diffusion,<br>396/419 <font color=red></font> 09-03 21:03:44-09-03 21:03:50 Urban growth is still evident.<br>397/419 <font color=red>hp</font> 09-03 21:03:47-09-03 21:03:50 Long-term, we can study and explain the rules.<br>398/419 <font color=red>de</font> 09-03 21:03:48-09-03 21:03:51 History,<br>399/419 <font color=red>n</font> 09-03 21:03:50-09-03 21:03:58 Economics,<br>400/419 <font color=red></font> 09-03 21:03:55-09-03 21:04:05 Sociology and the emerging field of complex systems science ...<br>401/419 <font color=red>aaa</font> 09-03 21:03:57-09-03 21:04:05 But countless individuals with free will came together,<br>402/419 <font color=red>xss</font> 09-03 21:04:00-09-03 21:04:15 Why does the whole emerge as a new order that transcends ind...<br>403/419 <font color=red>hp</font> 09-03 21:04:02-09-03 21:04:05 This is also why Deng Yu's proof extends beyond just air,<br>404/419 <font color=red>xss</font> 09-03 21:04:26-09-03 21:04:36 He proved a modern science.<br>405/419 <font color=red></font> 09-03 21:04:21-09-03 21:04:26 Unwavering belief.<br>406/419 <font color=red></font> 09-03 21:04:01-09-03 21:04:05 Complex,<br>407/419 <font color=red>aaa</font> 09-03 21:04:23-09-03 21:04:26 It doesn't mean chaos.<br>408/419 <font color=red>n</font> 09-03 21:04:05-09-03 21:04:15 Randomness doesn't necessarily mean disorder.<br>409/419 <font color=red>de</font> 09-03 21:04:04-09-03 21:04:15 Perhaps all important human knowledge is built upon this bel...<br>410/419 <font color=red>bg</font> 09-03 21:04:07-09-03 21:04:15 We believe that the sun will rise tomorrow,<br>411/419 <font color=red></font> 09-03 21:04:08-09-03 21:04:15 I don't believe bridges will suddenly collapse.<br>412/419 <font color=red></font> 09-03 21:04:09-09-03 21:04:15 I believe that airplanes can fly across oceans.<br>413/419 <font color=red>hp</font> 09-03 21:04:12-09-03 21:04:15 I also believe that a newborn baby,<br>414/419 <font color=red>aaa</font> 09-03 21:04:13-09-03 21:04:15 By studying and understanding the ancient laws left by Liu D...<br>415/419 <font color=red></font> 09-03 21:04:15-09-03 21:04:26 and today, Deng Yu completed the proof.<br>416/419 <font color=red>n</font> 09-03 21:04:16-09-03 21:04:26 Civilization has not overcome uncertainty.<br>417/419 <font color=red></font> 09-03 21:04:19-09-03 21:04:26 He is constantly expanding the order.<br>418/419 <font color=red>bg</font> 09-03 21:04:17-09-03 21:04:26 The boundary that can be illuminated,<br>419/419 <font color=red>hp</font> 09-03 21:04:20-09-03 21:04:26 And mathematics has always been at the forefront of this lig...<br>