In the No. 3 lecture hall, the audience was crowded, and there were about 100 people sitting, including little-known people and many big names in the academic world.

"Is Xiao Ran's academic report so popular?" Kong Jiyuan, who was sitting in the fifth row, looked at the hall that was already full, rubbed his chin and said: "I thought there weren't many people, and I thought about pulling you over to cheer up Xiao Ran's popularity, so as not to embarrass him at that time, but I didn't expect him to be so popular unexpectedly." ”

"Alas, being handsome can really do whatever you want, damn it, so many people can read an academic report." Next to Kong Jiyuan, a graduate student of Yan University who was traveling with him sighed with some jealousy.

"It's not just about looks." Zhao Licheng shook his head and said casually.

This is also related to the theme of his presentation today, the Kratz conjecture is well-known in mathematical circles around the world, and countless people try to prove it every year. Now that Xiao Ran has come up with an approximate proof of the Kratz conjecture, it will naturally attract the attention of many mathematical talents. ”

As he spoke, he motioned with his chin to look at the two rows ahead.

"You see, there are several professors from Princeton's mathematics department here today, as well as Professor Richard Cruz from Oxford, and Professor Marcus from Stanford, all of whom are here for the approximate proof of Kratz's conjecture."

As he spoke, he looked thoughtfully at the long-haired young man in the middle of the first row, and said to himself, "I didn't expect last year's Fields Medal winner to come to see Xiao Ran's academic report."

Peter Schultz! A new generation of super math gurus!

"Well, speaking of the Kratz conjecture, I think there seems to be a bounty in the lab, right?" Kong Jiyuan scratched his head and said with some uncertainty.

Zhao Licheng said: "It is the Institute of Mathematics of Cambridge University that has offered a reward of 500,000 pounds to reward the person who proved the Kratz conjecture. ”

"Well, they're here today, too." Zhao Licheng motioned for everyone to look at the position of the third person on the left of the first row.

"Turtle Turtle, Xiao Ran's junior brother is full today, and so many internationally renowned math experts have come to listen to his academic report of a freshman at Yan University." Another graduate student of Yan University smacked his tongue.

"Now you know why they didn't come to the party yesterday, right?" Kong Jiyuan answered: "That's the reason! The realm of people is here! That's why people can give academic presentations at the top, but you can only listen to the lectures below! ”

"Come on, Lao Kong, it's okay for Senior Brother Xiao Ran to say this, don't you also sit here obediently like us."

"That's it, I haven't said you yet, yesterday at the party, who stepped on the horse like a bull in heat, and kept squeezing around a few big-breasted blonde chicks?"

"Made, after a few glasses of wine, I don't know who my name is, and I can't stop it!"

“.”

Facing the revelations of the old classmates around him, Kong Jiyuan, who knew that he had provoked the anger of the public, coughed and said: "Okay, okay, don't say it." ”

As he spoke, he happened to see Xiao Ran coming in from the door, and hurriedly changed the topic and said, "Look, Senior Brother Xiao Ran is here!" The academic report is about to begin, so let's say a few words. ”

Only then did everyone slowly close their mouths.

And the other people in the lecture hall gradually lowered their voices the moment they saw the main protagonist appear.

Soon, the entire lecture hall No. 3 fell silent, and all eyes were focused on the handsome and tall young man on the podium.

Standing on the podium, Xiao Ran looked at the silent crowd below, and quietly exhaled a breath imperceptibly.

When he actually stood on the lecture stage, he realized how much psychological pressure he needed to endure to give a report in front of so many peers and internationally renowned academic experts.

I couldn't help but sigh at the mental quality of the bigwigs who calmly completed the academic report two days ago, not only did they not have the slightest nervousness from beginning to end, but they were also able to make a few humorous mathematical jokes to enliven the atmosphere.

But

Xiao Ran closed his eyes and took a deep breath, and when he opened them again, his eyes were already clear.

I wouldn't be worse than them!

The confidence of calmness comes from strength, and now that my buddy Gauss is possessed, I am still afraid of holding a small academic conference?

Straightened the microphone, Xiao Ran sorted out the speech ideas, and then waved to the staff, and the prepared content was reflected on the projection screen at the first time, and he also said: "The Kratz conjecture, also known as the Kakutani conjecture, has been widely popular in the international mathematical community since the 50s of the last century, such a strange and interesting mathematical problem has been widely popular in the international mathematical community, starting from any positive integer, after a finite iteration of the function C, can the loop (4,2,1) be finally obtained, or equivalently, finally get 1." ”

"The appeal of this problem is that once there is a power of 2 in the C iteration, the problem is solved, and there are infinite powers of 2, and we think that as long as the iteration process lasts long enough, there will be a power of 2 that will solve the problem in a positive form.

I'm sure you've already seen my paper, and the answer I give to try to prove the Kratz conjecture may be solved using partial differential equations.

Partial differential equations can be used to model many of the most fundamental physical processes in the universe, such as the evolution of fluids or the fluctuations of gravity in space-time. They occur when the future location of the system depends on the influence of two or more factors.

Complex partial differential equations may seem unrelated to simple arithmetic problems like the Kratz conjecture, but I think there are similarities between the two, and with partial differential equations, you can also insert some values, get other values, and then repeat the process.

All of this is to understand the future state of the system, and a particularly useful technique involves a statistical method that can be used to study the long-term behavior of a small number of initial values, and from this point of view, to infer the long-term behavior at all possible initial settings.

If we extend to the Kratz conjecture, it can be understood that starting with a large sample of numbers, the goal is to study the behavior of these numbers when the Kratz process is applied, and if the numbers close to 100% of the sample end up exactly equal to 1 or very close to 1, then we conclude that almost all numbers behave in the same way."

Lecture Hall 3 was crowded with people, but it was silent.

Everyone stared seriously at the young figure talking on the report platform, it was really a British-funded teenager who was full of spirit!

"Do you feel that Xiao is in some state today. A little off? Professor Walls' sharp pupils stared at Xiao Ran, who was in high spirits on the stage, his eyes flickered a few times, he turned his head, and asked his friend next to him in an uncertain tone.

Director Tian quietly looked at the figure on the stage, and after a while, he nodded slowly: "Today's Xiao Ran is a little different, compared with usual, today's Xiao Ran seems to be more."

Director Tian didn't know what adjectives to use to describe Xiao Ran at this moment.

"More confident!" Professor Walls added, "I saw a lonely soul in his eyes! ”

"That's right!" Director Tian was a little distracted.

Is this the real him?

At this moment, he seemed to see a majesty of dominating the world behind Xiao Ran, looking at the backs of all beings

Xiao Ran finished talking about the idea of the paper, and at this moment, he suddenly paused for a moment, and then continued: "However, what I want to talk about today is more than that, please forgive me for being a little willful. ”

As he spoke, he looked at the committee staff next to him, "Can you help me hang a whiteboard on it?" ”

The staff of the committee was stunned and nodded hesitantly: "No problem." ”

"Just give me another pen," Xiao Ran stood quietly in place without continuing to speak.

Many people in the audience were talking about each other, and they didn't know what Xiao Ran was going to do.

The staff of the committee were equally curious, but they were also experienced.

After all, this kind of thing has appeared more than once or twice in previous academic reports, and even more strange requests have appeared.

Genius, there is always something different from ordinary people, with a strange personality, and it is normal to be a maverick.

Soon, the staff dragged a whiteboard.

Taking the marker from the hands of the committee staff, Xiao Ran nodded and said "thank you".

He turned to face the whiteboard.

Call!

Xiao Ran let out a long breath.

Here he will proclaim his existence with a proof of conjecture!

The throne of the Emperor of Mathematics has been vacant for a long time, and from now on, I will stand at the top!

Open your eyes and look ahead, your eyes shining like stars!

Xiao Ran raised the pen.

On the whiteboard, write down the first line of the equation.

(End of chapter)