Vol 2 Chapter 1281: Topological tensor product and kernel space

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Su Junyu's tone imitating Wang Qi makes Wang Qi himself a little more fluttering-look, what a powerful image we are in the eyes of others!
Su Junyu went on to say: "Points, huh, if you want to pull someone out of the crowd, then statistics and probability are essential. And statistics ... isn't that what extends from points? Is probability also? All the results of probability theory are based on the establishment of the law of large numbers, and the foundation of the law of large numbers is precisely calculus. So, you started to tell us to study integration, must you have some ideas in this regard? "
Statistics and points are closely related. In the eyes of ordinary people, the most common thing in statistics is tables. Just fill in the data into the table, you can easily snoop out many new laws, calculate a lot of new data, and there is no opportunity to use integral equations.
But in fact, points are the foundation of everything. In the eyes of ordinary people, the table is a figure composed of horizontal and vertical lines, but in the eyes of real masters, it is an infinite number of integral formulas.
In fact, there is no difference between a table and a "formula". Enter numbers, perform calculations, and get new numbers in one go. This is the embodiment of the "black box" of mathematics. You enter the value from one side, then the "formula" in the middle "processes" for you, and then the "result" is output at the other end.
Normal people certainly don't have to pay attention to what the "processing" in the middle has gone through and how it works. But the so-called mathematicians are those who pry open the "box".
Being able to pry open the box will naturally build it. The "table" in statistics is such a "black box". It seals countless integral formulas into one, and then expresses it in the form of a table.
When you fill in many numbers into the table, you are actually performing the integral operation according to the simplest steps pointed out by the predecessors.
And if a person has a profound research on integration, then he only needs to find some problems in reality, and then delve a little, you can transform "theory" into "application".
The same holds true for other theories.
As long as the most fundamental part is grasped, the above things will be solved well.
Wang Qi nodded: "I can be sure that this time there will be a traitor from Xianmeng or a traitor from Xianmeng.
"I heard that we seem to be cooperating with the Dragon Clan, and the Dragon Clan also ... fought with the Xianxian for a long time." Su Junyu said this naturally. As his cultivation, identity, and demonstrated talents increased, the secrets of his contact deepened.
"After all, it is the Dragon Clan. Xianmeng uses the spells learned from the Dragon Clan at most to retrieve it by itself, but it will not let the Dragon Clan check its core part." Wang Qi shook his head: "And, our Xianmeng's rebellion is really not necessarily Can be detected by the dragon's spells. "
Su Junyu was a little curious: "Is there any saying?"
"The detection method of the Dragon Clan is broken, that is, a search for the power of the longevity of the Yuanying Method, but it is only more sophisticated than the means we know. In the past, whether it was to update the Demon Clan or Shixin Demon Clan, it was a matter of relegation Immortals or parasitic beasts, only themselves have no hope of longevity, so they can only hope for the immortals. However, the purpose of our Xianmeng Dao Dao is to "Tao". "Wang Qi drinks tea and moisturizes his throat:" But we The "Tao" is very dangerous. Every step has the possibility of completely denying oneself. From ancient times to the present, how many people have collapsed because of the phenomenon revealed by the "Tao" of the present law? If Xianxian uses himself The words of the words lead the disciples ’minds and change their minds ..."
"Then those lunatics are likely to have no trace of the power of Fairy Fairy at all?" Su Junyu's eyes widened: "So pitted?"
"However, that group of guys are really dangerous. This time, it was because of their intelligence that Mei Gemu knew everything about us, and we knew nothing about Mei Gemu-nor did they know nothing. You know. The last time I fought, I actually got a lot of first-hand information about Mei Gemu, but the analysis has not been completed yet. We know very little about Mei Gemu. Because of this kind of thing, we will lose. "
"What exactly do you want to do?"
"According to statistics and probability, let's build some expected probability model." Wang Qi shook his head: "I have a little inspiration in the past few days and I want to write a thesis. After I sort out the topic here, about three I can finish it in five days, and then I have to go back to Nanming. "
"Xing Lao." Su Junyu patted Wang Qi's shoulder: "Speaking of it, is your eyes okay?"
Wang Qi still has a blindfold on his eyes, similar to severe secondary illness.
Wang Qi nodded: "When I learn how to cure illusion in my eyes."
Or know how to refine the appropriate contact lenses.
"Then pay attention to it yourself." Su Junyu stood up: "Since it is a matter of learning, you have a plan, that's good. Now the wind is not so good, be careful."
After Su Junyu left, Wang Qi gently drank the tea in his hand.
"Well, it seems that from the beginning of my spiritual practice, I had a special relationship with the so-called" Xianmeng Rebellion. "
The young man sighed: "Did you catch up with the good time of everyone?"
However, this "fate" of more than ten years, finally has the opportunity to completely cut off.
The teenager packed the table, took out the paper and pen, and began to write a paper.
But what he wrote is neither an integral nor the algebraic topology they are doing now, but another related field.
"Topological Tensor Product and Kernel Space."
As the thesis writing progressed, his breath drifted again.
In 1956, Grothendieck's final year of his PhD in Nancy, he needed to choose a thesis as his dissertation. At the time, he had a total of six unpublished papers, each of which exceeded the doctor's level. In the end, the paper chosen by the young "emperor" was called "Topological Tensor Product and Nuclear Space".
In fact, this thesis does not just exist as a degree thesis. He was Grothendieck's first "general" thought to the world. This paper was recorded in the anthology of the American Mathematical Society because of this great significance. That collection of works was even reprinted for the seventh time in the 1990s.
Unfortunately, Wang Qi still does not know the original text of this paper.
Fortunately, after roughly knowing the direction of the great mathematician's efforts, Wang Qi can independently write this paper.
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About five days later, Wang Qi finished writing the thesis. He submitted this paper together with his previous manuscript of "pure mathematics", and then steered Dunguang away from Wanfamen.
His thinking was agitated and sounded when he wrote this paper, which led to the further evolution of the exercises. And this kind of natural evolution has made it difficult to bring Wang Qi any ability to improve—because his own practice has already had high enough performance—but this can push his practice to a stable state.
Simply put, this paper basically solves the problem of the degree of fusion between Wang Qi and his own eyes. Now, all the starbursts in his left eye have disappeared, and he has returned to normal black eyes-this is his special time to practice. Because he didn't control the eyes of this primordial period, the illusion of his knotty stage could not be attached at all, and the blessing was automatically washed away by the mana of the eyes.
A monk in the Tandan period suddenly had the organ of the Yuanshen period, and it was so troublesome. It's as if a person's right hand muscles are abnormally developed, which is very inconvenient.
Of course, this eyeball brings more than trouble. At least, whether this eyeball absorbs Reiki or refining speed, it has already reached about 3% of the true Yuanshen monk. With such a new "power source", plus Wang Saki's own mana, which had reached the late stage of Jiedan, was enough for him to squander.
In addition, do n’t look at the Yuanshen Jurisprudence attached to his eyeballs is just a waste with full exploration ability and no other power, but this is also a genuine Yuanshen Jurisdiction! As long as it expands to a certain range, it will be the same as the real spirit monk's primal magic domain, and there is no need to worry about the time limit. This eyeball has been deified, so it is impossible to trigger a large-scale deification.
He can even regard Xiangyu Chuanyou as a means of long-distance raid. I saw his escaped light turning into a dotted line in the void, and it must disappear once every tens of feet out, and then appear outside tens of feet.
It only took a few hours for Wang Qi to land directly on the ground of Nanming.
"Nanming, where I burned my blood!" Wang Qi shouted, shrinking his neck in the cold wind.
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