【1200 Commuter Pass Plus Update】

According to the history of the Earth, the discovery of chaos theory was made up of several stages.

The first stage is when scientists in different fields discover chaotic phenomena. ，

At this stage, only one meteorologist recognized the significance of his formula, the mathematical significance of chaos, before all mathematicians.

However, meteorologist Eduard Lorenz's paper titled the "butterfly effect" did not receive much attention after it was completed, and in fact, many people, including many meteorologists, felt that his paper was wrong.

The second stage is the cross-industry exchange that emerged with the dawn of the information age. The individual scientists who had discovered the phenomenon of chaos gradually joined together.

The third stage is the birth of chaos theory.

However, chaos theory has deeper roots in mathematics. Henri Poincaré went on the offensive for the three-body problem and completed the initial work. Almost at the same time as him, the Russian mathematician Alexander Lyapunov completed the Lyapunov exponent, a measure of the tendency of a near-orbital divergence measure. Then, the American mathematician Steven Smale described the universal topological conditions that ensure that the dynamical system approaches a complex set of limits. In the end, it was the French mathematician Benoit Mandelburo's fractals that really depicted the singular attractor.

With a dimension of about 2.07 dimensions, the Lorentz attractor became the form of chaos that is remembered by the world.

This is the history of the earth.

However, there is something special about the history of China.

In the history of the earth, the discoverers of chaotic phenomena, including Edward Lorenz, the discoverer of Lorentz's formula, were not at the top of their mathematical skills, and they did not know about Henri Poincaré's great achievements. The Chaos Attractor beckoned at them from the pile of computer printouts in their office, but they didn't understand it.

But. Due to the existence of "Immortal Dao" in this world, the development history of this discipline is completely different from the original.

Pang Jialai completed the chaos theory alone.

Well, it's not impossible to think about it. In the Shenzhou Immortal Dao, the topology is the self-reserved place of the sect. Shujun is the leader of the sect and the first person in contemporary topology. He crisscrossed the sea of stars, and naturally he also had the opportunity to see the movement of various stars. If only he could carefully deduce the gravitational system between the celestial bodies. It's easy to find a dynamical system with "chaos". With his expertise in topology, it is not difficult to characterize the universal topological conditions that ensure that the dynamical system approaches a complex set of limits.

For Arithmetic Jun, realizing this weight is probably a matter of concept. As long as you break through your own knowledge barriers, the last step is at your fingertips.

Therefore, Wang Qi was eager to know where the counter had progressed.

Mi frowned: "Now my speed of transmitting the spirit rhino is very limited, you better not ......"

After all, the Holy Emperor Venerable should not be underestimated. Now the clusters on the periphery of Linghuang Island didn't dare to make a big move, for fear that the Holy Emperor Venerable would find out something and cause the failure of this experiment.

"It's okay, it's okay!" Wang Qi said, "It's okay to slow down." The key lies in the series of papers of the counter. The best I can get. It doesn't matter if it's exposed. ”

Mi's illusion kicked Wang Qi angrily: "You're enough! If it's not your body, you don't plan to cherish it, right?"

"Senior sister, you should lose weight, those papers are really important!"

"I can't help you. Mi sighed, "Wait, in an hour." ”

After Mi disappeared, Ru Tianqi dared to come out and asked, "Mr. Wang, you haven't moved for a long time......

It's been nearly a month since he fell into the hands of Wang Qi. Originally. He thought that Wang Qi would use the power of thunder to directly wipe out the Falling Dust Sword Palace. But it didn't work out. Wang Qi has been staying here since he took this ashram, staying at home, and he doesn't even order him to do anything, only let him read there, figure out the nine chapters of the scriptures, and tell him directly if he has any understanding. Aside from the occasional conversation with him and the mysterious demon, the thief spent most of his time meditating in this ashram. It's like a retreat.

At the beginning, Ru Tianqi felt more comfortable in this way. Without him having to sweep away the Sword Palace by himself, he naturally didn't have any mental pressure.

Soon, however, he was a little overwhelmed.

The pressure is just too much

The Holy Emperor has accumulated power for thousands of years. It can't be eliminated overnight. For thousands of years, the irreversible image of the "Holy Emperor" has penetrated into the bone marrow of all people bit by bit. This is not something that can be changed by the power shown by Wang Qi.

The state of mind during the distraction period ensured that Ru Tianqi would not lose his mind because of this "might", and would not dare to resist the Holy Emperor. However, he didn't have the nerve to be able to walk around under the nose of the Holy Emperor.

Even if Wang Qi assured him that he was safe here, even if Wang Qi was a strong man who could "hard" shake the Holy Emperor, this sentiment always existed.

Now, he seemed to be very concerned about something, and he felt that he needed to remind this guy what his main business was.

For Ru Tianqi's impatience, Wang Qi was quite helpless. He was very skeptical, did these ancient law cultivators be like the demon beasts of the Divine Sea that were born with the gene of fear of the dragon clan, with the meme of "obeying the Holy Emperor"?

He waved his hand and said, "I have my own plans for this matter." ”

"Mr. Wang, do you know that there are more and more rumors outside...... There are already elders who have doubts about your origins!" Ru Tianqi tried to make a bitter appearance: "If you and I don't go out again, I'm afraid that there will be villains to spy on ......"

"Feel free to do whatever you want, I don't plan to go out until I do the basics. Wang Qi waved his hand and asked Ru Tian to abandon the change: "You are also a cultivator, you should know the role of a solid foundation for future development, right?

His main task now is to perfect his virtual god domain and completely integrate his cultivation method with this virtual god domain.

It's just that this step is still very difficult for the current Wang Qi.

In the afternoon, Wang Qi finally saw Shujun's paper.

"Tsk, in this world, the Lyapunov exponent was also discovered by the Lyapunov Index? Tsk! Cellular automata are equal to Turing machines under some rules...... What is the use of this in proving this chaos theory......"

Some of the proof process of the calculation of the monarch was not expected by Wang Qi, and some of them gave a lot of unexpected surprises.

For example, the general topological conditions that ensure that the dynamical system is close to the complex limit set were depicted by the calculation of the Jun gave Wang Qi a great deal of development.

Wang Qi's mastery of topology is indeed far above the horizon, but it is far less than that of the counter. This task is quite difficult for the current Wang Qi.

"Tsk, this old-timer is not idle in the sea of stars!"

I am afraid that this is not a day's work, but the result of a lot of fragmented thinking.

Finally, Wang Qi saw Shuanjun's recently published paper - "The Theory of Chaos in Three Weeks"

In a univariate discrete dynamical system that a certain arithmetic has studied, after three units of time, i.e., after a week. Even if only one point repeats its own values, chaos will inevitably occur.

This is rigorously mathematical proof.

"It's not so much a testament to Li Tianyan and James Yorke, but it's closer to ...... Shharkovsky's proof. Wang Qi thought like this: "During the Cold War, the mathematical ideas of the Soviet Union were indeed closer to the Wanfa Sect here...... And the choice of power model is also very different. ”

The model used by Shuan Jun to prove chaos theory is not the "univariate equation of competition between groups and scarce resources" discovered by biologist Robert May, which is used on Earth, but the motion model of some special gravitational mass groups.

"This is already a fairly mature chaos theory...... Mmmm, it looks like there's nothing I can meddle in at the moment. ”

Wang Qi shook his head gently, feeling a little pity.

When he discovered that the idea of causality was particularly deep-rooted in China, he had the idea of using this field to gain a lot of prestige. However, it is obvious that the reputation of the logic field is being cultivated faster, so he has temporarily ignored this field in the past two years.

Unexpectedly, someone can break through the knowledge barrier of the entire Shenzhou on their own.

Moreover, he was still the monarch Pang Jialai a few eras ago.

Sure enough, the true level of the "isotope" monks in Shenzhou surpassed those "original bodies" on the earth.

-- All the people in this world should not be underestimated.

"If the monk doesn't die, there are infinite possibilities......

Wang Qi thought so, and then smiled: "This feeling of 'one day being able to see the Great Dao is the driving force for the tireless pursuit of immortality in the Dao of the Immortals of the Present Law......

Speaking of which, what does the Chaos Realm have the greatest impact on...... In addition to the powertrain...... Mmmm, I seem to remember...... It seems like...... Prove the principle of the synergy of simple biological cells such as nerve cells?Chen Feng, that kid might be happy......

Wang Qi shook his head, and then asked Mi again, "Is there any other news?"

"Master told you, take it easy. Due to this wave of impact, the decisive battle plan of the Immortal Alliance was postponed again. During this period of time, you will refine your practice...... Wait, there's no ambiguity here, just a literal meaning. ”

Wang Qi didn't seem to hear the accusation, but grabbed the key point in Mi's words and asked, "This impact...... Bai Ze Shenjun and other seniors of the older generation, how is it......"

Bai Ze Shenjun is Su Junyu's elder, and he once saved Wang Qi's life. Wang Qi still has a certain respect for this old-timer.

Mi Yan was concise: "Bai Ze Shenjun, he is still alive now. ”

Wang Qi nodded, silent.

It's also one of the risks you have to face if you live too long. There is a chaotic mechanic in the world, and you never know what the future holds. What you believe may not be true in the distant future.

Then, Mi's next sentence really made Wang Qi's eyes light up.

"In addition, there is a message from a Turing person. He wants you to think about a few questions......" (To be continued.) )

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