Su Junyu's imitation of Wang Qi's tone made Wang Qi himself a little fluttery - look at what a mighty and domineering image we are in the eyes of others!

Su Junyu continued: "Points, hehe, if you want to find someone from the crowd, then statistics and probability are essential. Pen × fun × Pavilion www. ｂｉｑｕｇｅ。 info and statistics...... Isn't that something that extends from integrals? So is probability. All the results of probability theory are based on the law of large numbers. And the basis of the law of large numbers is also calculus. So, you started telling us to study integrals, you must have some idea of this, right?"

Statistics go hand in hand with integration. In the eyes of ordinary people, the most commonly used things in statistics are tables. You only need to fill in the table one by one, and you can easily spy on many new laws and calculate a lot of new data, and there is no opportunity to use integral equations.

But in reality, points are the foundation of everything. In the eyes of ordinary people, the table is a graph composed of horizontal and vertical lines, but in the eyes of a true master, it is an infinite number of integral formulas.

Actually, there is no difference between a table and a "formula". Enter the numbers, perform the calculations, and get the new numbers, all in one go. This is the embodiment of the "black box" nature of mathematics. You enter the value from one side, then the "formula" in the middle "process" for you, and then the "result" at the other end.

Of course, normal people don't have to pay attention to how many steps and what the principle of "processing" in the middle is. But the so-called mathematician is the one who pries open this "box".

If you can pry open the box, you can naturally build it. The "table" in statistics is such a "black box". It encapsulates countless integral formulas into one, which is then presented in a tabular form.

When you fill in a table with a lot of numbers, you're actually doing the integration in the simplest steps that we've pointed out before.

However, if a person has a deep study of integrals, then he only needs to find some problems in reality, and then delve into them a little, and then he can transform "theory" into "application".

The same is true for other theories.

As long as you grasp the most fundamental part, the above things are well solved.

Wang Qi nodded: "I can be sure that this time there must be a subordinate of the Immortal or a traitor from the Immortal Alliance who is stirring up trouble behind the scenes." ”

"I heard that we seem to be working with the Dragons, and the Dragons are ...... I have been fighting with the immortals for a long time. Su Junyu naturally said this. As his cultivation, identity, and talent grew, his secrets became deeper and deeper.

"It's a dragon, after all. At most, the Immortal Alliance uses the spells it learned from the Dragons to retrieve itself, but it will not let the Dragons check their core. Wang Qi shook his head: "Moreover, the rebellion of our Immortal Alliance may not be detected by the magic of the Dragon Clan." ”

Su Junyu was a little curious: "Is there any way to say this?"

"The method of dragon detection, to put it bluntly, is a search for the power of the Yuan Infant Law Immortal, but it is more sophisticated than the methods we know. In the past, whether it was the renewal of the demon clan or the first new demon clan, those who took refuge in the immortals or parasitic beasts were only hopeless for their own immortality, so they could only hope for the immortals. However, the purpose of our Immortal Alliance to seek the Tao is for the sake of the 'Dao'. Wang Qi drank tea and moistened his throat: "It's just that our 'Dao' is very dangerous, and every step has the possibility of completely negating itself." From ancient times to the present, how many people have collapsed because of the phenomena revealed by the 'Dao' of the present Fa? What if the Immortal used his own words to guide the demons in the hearts of this part of the disciples and change their minds......

"Then it is very likely that there is no trace of the power of the immortals on those crazy people?" Su Junyu's eyes widened: "Such a pit?"

"Those guys are really dangerous, though. This time, it was because of their intelligence that Mei Gemu knew everything about us, but we didn't know anything about Mei Gemu - it wasn't that they didn't know anything. In the last encounter, I did get a lot of first-hand information about Mei Gemu, but the analysis has not yet been completed. We don't know much about Mei Gemu. That's why we lose. ”

"What exactly do you want to do?"

"Based on statistics and probability, let's build some kind of anticipatory probability model. Wang Qi shook his head: "I have a little inspiration again in the past few days, and I am going to write a thesis." After I put the outline out here, I will be able to finish it in about three to five days, and then I will have to go back to Nanming. ”

"Okay. Su Junyu patted Wang Qi on the shoulder: "Speaking of which, your eyes are fine, right?"

Wang Qi still has an eye patch on his eyes, as if he is suffering from a severe middle and second disease.

Wang Qi nodded: "Wait until I learn how to solidify illusion on my eyes." ”

――Or know how to refine the right contact lenses.

"Then pay attention to yourself. Su Junyu stood up: "Since it is a matter of study, you have a plan, so it's good." Now the wind is not very good, so be careful. ”

After Su Junyu left, Wang Qi gently drank the tea in his hand.

"Well, it seems that from the beginning of my cultivation, I have been particularly involved in the so-called 'Immortal Alliance Rebellion'. ”

The young man sighed deeply: "Didn't you catch up with the good time when everyone was united?"

However, the "fate" of more than ten years finally has the opportunity to be completely cut off.

The boy cleaned up the table, then took out the pen and paper, and began to write a paper.

But what he wrote about was neither integrals nor the algebraic topology they were doing now, but another related area.

Topological Tensor Product and Kernel Space.

As the writing of the dissertation progressed, the breath on his body fluttered again.

In 1956, the final year of his PhD studies at Nancy, Grothendieck was required to choose a thesis for his dissertation. At that time, he had a total of six unpublished papers, each of which exceeded the level of a Ph.D. In the end, the paper chosen by the young "emperor" was called "Topological Tensor Products and Kernel Space".

In fact, this dissertation doesn't just exist as a dissertation. It was Grothendieck's first presentation of his "general" ideas to the world. This paper was included in the Anthology of the American Mathematical Society for this great significance. In the nineties, there was even a seventh reprint of that anthology.

Unfortunately, Wang Qi still does not know the original text of this paper.

But fortunately, after having a rough idea of what the great mathematician was working on, Wang Qi was able to write the paper independently.

....................................................................................................................................................................................................................................

About five days later, Wang Qi finished writing his thesis. He submitted this paper together with his previous manuscript of the "Grand View of Pure Arithmetic", and then rode away from the Ten Thousand Laws Gate.

His thoughts stirred and resonated when he wrote this treatise, which led to the further evolution of the exercises. And this kind of natural evolution can hardly bring any improvement in Wang Qi's ability - because his own exercises already have a high enough performance - but it can push his exercises to a stable state.

To put it simply, this paper basically solves the problem of the integration of Wang Qi and his own eyes. Now, the starlight in his left eye had all disappeared, and it had returned to its normal black eyeballs, which he had specially squeezed out to practice. Because he didn't have enough control over the eyes of this Yuan Shen Stage, he couldn't attach the illusion of his own Dan Stage at all, and as soon as he was blessed, he was automatically washed away by the mana of the eyeballs.

-- A monk in the Dan stage suddenly has organs in the Yuan Shen stage, which is so troublesome. It's as if a person with only the right hand has unusually developed muscles, which is very inconvenient.

Of course, this eyeball doesn't just cause trouble. At least, this eyeball is already about three percent of the true Yuan Shen Cultivator's speed in terms of the speed of absorbing spiritual energy or refining it, and with such a new "power source", coupled with Wang Qi's own mana that has reached the late stage of the Jiedan, it is enough for him to squander.

Besides, don't look at the Yuanshen Domain attached to his eyeballs is just a waste with a complete exploration ability and no other power, but this is also a genuine Yuanshen Domain! As long as it is expanded to a certain range, it will be the same as the Yuanshen Domain of a real Yuanshen Monk, and there is no need to worry about the time limit. This eyeball has already been deified, so it is impossible to cause a large-scale metadeification phenomenon at all.

He can even use Sangwoo as a means of long-distance travel. I saw that his light turned into a dotted line in the void, and every time he flew out of dozens of zhang, it would definitely disappear once, and then appear dozens of zhang away.

It only took Wang Qi a few hours to land directly on the ground of Nanming.

"Nanming, where my blood burns!" Wang Qi shouted, shrinking his neck in the cold wind. (To be continued.) )