Vol 3 Chapter 929: Chaotic realm

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According to the history of the earth, the discovery of chaos theory is composed of several stages.
The first stage was when scientists in different fields discovered a phenomenon with chaos. ,
At this stage, only one meteorologist recognized the significance of his formula and the mathematical meaning of chaos before all mathematicians.
However, a paper named "Butterfly Effect" by meteorologist Edward Lorenz has not received much attention after completion. In fact, many people, including many meteorologists, think his wrong.
The second stage is the cross-industry communication that emerged with the dawn of the information age. Individual scientists who once discovered the phenomenon of chaos gradually joined together.
And the third stage is the birth of chaos theory.
However, chaos theory has a deeper origin in mathematics. Henry Poincaré launched an attack on the three-body problem and completed his initial work. Almost at the same time as him, the Russian mathematician Alexander Lyapunov completed the Lyapunov exponent, which is a measure of the trend of divergence measures near the orbit. Then, the American mathematician Steven Smeler described the general topological conditions that ensure that the dynamic system is close to a complex limit set. But in the end, the fractal of the French mathematician Benoit Mandelbrot truly portrayed the strange attractor.
The Lorenz attractor with a number of dimensions of approximately 2.07 has become a chaotic shape remembered by the world.
This is the history of the earth.
However, the history of China is somewhat special.
In the history of the earth, the discoverers of chaotic phenomena, including the discoverer of the Lorentz formula, Edward Lorentz, are not at the top of the mathematics level. They do not understand the great achievements of Henry Poincaré. The Chaos Attractor waved at them in the pile of computer printouts in their office, but they couldn't understand it.
However, due to the existence of "Xiandao" in this world, the development history of this discipline is completely different from the original.
Counting Pang Jialai completed the chaos theory by himself.
Well, it's not impossible to think about it. In Shenzhou Xiandao, the topography was originally a reserved place for Lizong. Suanjun is the leader of Lizong and the first person in contemporary topology. He has a wide range of stars, and naturally has the opportunity to see the stars running. If he can carefully deduce the gravitational system between the celestial bodies, it is easy to find the dynamic system with "chaos". With his knowledge of topology, it is not difficult to describe the general topological conditions that ensure that the dynamic system is close to a complex limit set.
For Suanjun, to realize this importance is probably a matter of concept. As long as you break through your own barriers to seeing and seeing, the last step is at your fingertips.
Therefore, Wang Qi was eager to know where he had gone.
Frowning frowned: "Now I have a very limited speed to pass the spirit rhinoceros, you better not ..."
After all, Saint Emperor cannot be underestimated. At present, the clusters on the outer periphery of Linghuang Island dare not make big moves, for fear that Saint Emperor Zun found something, causing the failure of this experiment.
"It doesn't matter, it's okay!" Wang Qi said: "It's okay to slow down. The key lies in the series of papers that count. It's best to get it. It doesn't matter if it is exposed."
Mi's illusion kicked Wang Qi with angrily: "You're enough! Co-authoring is not your body, you don't plan to cherish it, do you?"
"Sister, you should reduce weight loss, those papers are really important!"
"You can't do it." Sighed: "Wait, after an hour."
After Mi disappeared, Ru Tianqi dared to come up and asked, "Mr. Wang, you haven't moved for a long time ..."
It has been nearly a month since he fell into the hands of Wang Qi. Originally, he thought that Wang Qi would directly wipe out the Fallen Sword Palace with a thunder. But it was n’t expected that Wang Qi had been staying here since he seized the quiet room. He did n’t leave the house and did n’t even order him to do anything. He only let him study there and figure out the nine chapters. Just tell him directly. Apart from occasionally saying a few words with him and the mysterious monster, the little thief spent most of his time meditating in this quiet room, as if retreating.
At the beginning, Ru Tianqi felt more comfortable. Without using his own hands to wipe out the sword palace, he naturally has no mental pressure.
But, soon, he was overwhelmed.
The pressure is too great
The emperor's Jiwei for thousands of years cannot be eliminated overnight. For thousands of years, the irreversible image of "Sovereign Emperor" has penetrated bit by bit into everyone's bone marrow. This is not something that Wang Qi's power can change.
The state of mind during the divine period guarantees that Ru Tianqi will not lose his mind because of this "power", and will not dare to resist the Holy Emperor. However, he didn't have the nerves to walk around under the eyes of Shengdizun.
Even if Wang Qi assured him of safety here, even if Wang Qi is a strong man who can "harden" the Holy Emperor, this kind of emotion always exists.
Now, he now seems that Wang Qi is very tight about something, and feels it necessary to remind him of his main business.
Wang Qi is quite helpless about Ru Tianqi's anxiety. He wondered whether these ancient methods were just like the monsters of the Divine Sea and the Sea, born with the gene of fearing the dragon clan, with the meme of "obeying Saint Emperor"?
He waved his hand and said, "I have plans for this."
"Mr. Wang, do you know? There are more and more buzzwords outside ... There are already elders who have doubts about your origin!" Ru Tianqi tried hard to make a bitter voice: "You and I will not go out again, I am afraid that it will be There are villains to spy ... "
"It's just as you like. Before I do the basic work, I don't plan to go out." Wang Qi waved his hand and asked Ru Tian to abandon it. Why do you go: "You are also a cultivator, you should know a solid The role of foundation in the future development? The sharpener cuts the woodworker, the sharpener cuts the woodworker! "
His main task now is to perfect his own virtual divine domain and completely integrate his cultivation methods with this virtual divine domain.
However, this step is still very difficult for Wang Qi.
In the afternoon, Wang Qi finally saw Shujun's paper.
"Eh, in this world, the Lyapunov exponent was also discovered by the emperor? Yeah! Cellular automata are equal to Turing machines under some rules ... What use is this in the process of proving this chaos theory ..."
Some of the proof process of Shujun was not as expected by Wang Qi, and some gave many unexpected surprises.
For example, Wang Jun described the general topological conditions that ensure that the dynamic system is close to the complex limit set, which gave Wang Qi a lot of development.
Wang Qi's mastery of topology is indeed far above the horizontal line, but it is far from being a king. This task is still quite difficult for Wang Qi now.
"Huh, this old senior is not idle in Xinghai!"
This is probably not a day's work, but the result of many piecemeal thinking.
Finally, Wang Qi saw the recently published paper by Shujun-"Three Weeks of Chaos"
In a single-variable discrete dynamic system that has been studied by Junjun, after three steps of time, that is, after a few days. Even if only one point repeats its value, chaos will inevitably appear.
This is strictly mathematical proof.
"It's not so much a proof to Li Tianyan and James York, but closer ... Shakovsky's proof." Wang Qi thought: "The Cold War period, the mathematical thinking on the Soviet side is indeed closer to this. Wan Famen Lian Zong ... and the dynamic model chosen is also very different. "
The model used by Shujun to prove chaos theory is not the "univariate equation for the competition of groups against scarce resources" discovered by biologist Robert May, but the movement of some special gravity groups model.
"This is already quite mature chaos theory ... well, it seems that there is nothing that I can do now."
Wang Qi shook his head gently, feeling a pity.
When he discovered that the cause-effect theory was deeply ingrained in China, he had the idea of ​​borrowing a lot of prestige in this field. However, it is clear that the prestige of the logic field is faster, so he has temporarily ignored this field for the past two years.
Unexpectedly, some people can break through the barriers of knowledge and knowledge of the entire Divine State by themselves.
Moreover, Pang Jialai, who was still a few years ago.
Sure enough, the true level of the "peer" monks in China exceeded those of the "original bodies" on the earth.
Everyone in this world should not be underestimated.
"Will the monk not be dead, there are infinite possibilities ..."
Wang Qi thought this way, and then smiled: "This feeling that one day you can see the road is the motivation of this Faxian Dao tirelessly seeking longevity ..."
Speaking of which, the realm of chaos has the greatest influence ... in addition to the dynamic system ... well, I seem to remember ... it seems ... to prove the principle of synergy between simple biological cells such as nerve cells? Chen Feng's kid might be happy ...
Wang Qi shook his head, and then asked Mi: "Is there any news?"
"Master tells you, take it easy. Because of this wave of shock, Xianmeng's decisive battle plan is dragged back again. In this period of time, you will perfect your practice ... Wait, there is no ambiguity, only literally. meaning."
Wang Qi did n’t seem to hear the accusation, but instead grasped the key points in Mi ’s discourse and asked,
This time, I ’m shocked… How about the older generations such as Shirasawa Shirasawa ...

Bai Ze Shen Jun is the elder of Su Junyu, and once saved Wang Qi's life. Wang Qi still pays some respects to this senior.
Mi Yan is concise: "King Bai Ze, still alive now."
Wang Qi nodded, silently.
This is also one of the risks to live too long. There is a chaotic mechanism in the world, and you will never know what will happen in the future. What you believe may not be true in the distant future.
Then, Mi's next sentence did indeed shine in front of Wang Qi.
"In addition, there is also a message from a Turing real person. He hopes you can think about a few questions ..."
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