Scholar’s Advanced Technological System

Chapter 248: Princeton's First Lesson (4/4)

The debriefing started, but there was a little accident at the scene.

Because Professor Innock, the protagonist of this briefing, seems to be absent.

The atmosphere was awkward at one time.

To be honest, the Ark was also a little stunned by the accident. He was talking to Professor Enoch in person. What happened to him?

Lart was sweaty and explained on stage: "Professor Enoch did not arrive in time for some personal matters, I am in contact with him...”

“Notarization is a very serious topic, but our time is also precious," said a man sitting in the front row of the room, a man of dark skin and not low standing, with a slight voice of dissatisfaction, "and I even wonder now if Professor Enoch really attaches importance to this issue? ”

To be honest, black brothers in North America don't really like their fellow Africans back home.

But in their own interest, they must also be attentive.

Larterforehead sweats directly, but he curses Enoch over a dozen times.

I was about to start speaking, and I had to go out and eat some hamburgers, and the guy took $10 and ate it, and he hasn't come back for two hours.

He vowed that this was the last time he had dealt with native Nigerians, who did not speak of a spirit of contract at all.

At this point, an unexpected sound came from the side.

“Since Professor Enoch has a few things to do, let me start without you. ”

The main reason is that the Ark doesn't want to waste any more time waiting, so let's get this farce over with.

Lart stunned.

He didn't think it was this guy who solved the siege for himself.

But…

Is this guy really going to unwrap himself?

By the time he thought about it, he couldn't stop it.

Because the Ark has come to the podium, and the people under it obviously agree with the proposal.

Lart stepped aside intellectually because he understood that if he stood up at this point, he would have fallen.

Standing on the podium, the ark didn't think too much about anything else.

For him, the report suggests that this kind of thing is well known to light cars.

It just didn't occur to me that his first lesson in Princeton was not at the Math Department building, but at the Princeton Hotel next door.

Thinking about it, the ark shook its head with a smile.

All right, Kwon is practicing.

Responding to a pair of sights under the stage, he cleared his voice and said slowly.

“I see distrust in your eyes. ”

Although there is no one to speak under the stage, there are many people looking at the watch or looking to the right...

But it's normal, and the ark was expecting this.

After a pause, he raised the volume slightly and continued.

“Because you stand before an elite with the Princeton label, and you have the least trust in the elite, be it their character or their education, and you are more eager to hear the voices that have been neglected. So, I bet in a few months, most of you will probably vote for a fat guy named Trunco, because he's the only smart guy who's trying to stand at your point of view and make your voice... which, of course, is not what I'm trying to say today. ”

“Before you begin your speech, please remember my nationality, I am a Chinese scholar. ”

“Now that you are so politically correct, may I ask whether you ignored my voice when you listened to the Washington Times side because of the one-sided words of a white journalist? ”

The sound of the ark was not loud, but there was a sound on the ground.

Everyone sitting under the stage stood still and said nothing to each other.

Seems…

Is that true?

By this moment, no one was looking at the watch anymore, but subconsciously looked at the podium.

Many who did not intend to listen to the briefing were also pulled back to the scene.

The corner of the canoe's mouth raised a slight smile.

His purpose, has been reached.

Lart's expression was gloomy and he kept calling, but the phone was always busy.

“What's this nigger doing? ”

Cursing, he stuffed his phone back in his pocket and glanced at the stage.

Though he wanted to go up and chase this guy off the stage, he couldn't do it.

After all, it was him who invited him to stand here.

And now he's coming.

Looking at the audience under the stage, the ark continued.

“I probably won't be using any very deep mathematical symbols today, nor will I be able to say anything too difficult to understand... of course, one or two might show up and please don't go out there. After all, some things can be described in common language, but others are temporarily unattainable at my level. ”

He does not have Hawking's level to explain complex propositions in common language.

But there's something common sense he can talk about.

Confirm that each eye under the stage is looking at itself, and the ark turns on the blackboard behind it, writing down two lines of formula at will.

[π (x) = Li (x) + O (xe ^ {-115 √ lnx}) if Lehman guess is not used]

[If Lehman guesses, π (x) = Li (x) + O (√ xlnx)]

Turning back, the ark looked down at the audience laughing.

“Mathematics is a magical thing, and Lehman's guess is a great thing. Although you may not know what I wrote, I can clearly tell you that the first line of formula is the basis of mathematics, the so-called prime theorem. And the second line is a more precise prime number distribution formula that H.VON Koch obtained in 1901, based on Lehman speculation, which, although not necessarily written on textbooks, has been used for a century. ”

“Similar examples, if I were to board a book, I could write more than ten, because there were so many. ”

“As for writing these two formulas, I just want something common sense in Cope. ”

“That is, for a presumption of probability, the prevailing practice in mathematics is to use it first. How do you use it? At the beginning of the paper, let's assume that Lehman's guess is established, and then we can begin to fall apart...”

“As for why this is so sudden, it's mainly in response to Professor Enoch's paper. He put forward a rather ‘novel’ and interesting point of view in his thesis. Under the conditions of Lehman's presumption, under the prime distribution system built around the zeta function, Goldbach's presumption was founded, or is it a real proposition? ”

Speaking of which, the ark paused for a moment, laughing and continuing.

“The reason why his view is‘ novel 'is that, as of 2016, this situation has not been taken into account for a century, and even in fact Hardy and Letterwood proved in the' 20s that weak Godebach guessed under the assumption that Lehman guessed to be established in the broad sense. ”

“But beware! I'm talking about a broad Lehman conjecture, commonly known as GRH, and a Lehman conjecture abbreviated as RH, which is entirely two things. ”

The people under the stage face each other and obviously do not understand the meaning of it.

If that is the case, does it not amount to a broad Lehman conjecture that proves the weak Gothenbach conjecture?

Then disperse your thoughts and delete one word each, and Lehman's guess will prove that Goldbach's guess… is not.

As for why, in common sense, this is probably similar to calculating the mass of an object at the speed of light using Newton's motion theorem, and a little bit of people know how ridiculous this is.

Speaking of which, the Ark laughed.

“To say the difference between GRH and RH, just looking at Wikipedia is really confusing, and it's really hard to bring down a lot of folk science, so you still have to go back to textbooks or papers. As a general rule, GRH is the object of discussion, moving from the Lehman zeta function to the more extensive Dillicler L function. ”

“There's nothing to say about conceptual issues. If you have to say 'system’, it's just the Dillicule L function. You can barely match weak Goldbach assumptions, and even prove Goldbach's assumptions in terms of probability… But the former, perhaps you don't understand the laughing point, it's something that the eight-stick can't hit the side, and anyone who understands logarithm will know. ”

“Even if it's just an understanding of the history of mathematics. ”

After a pause, the ark slowed down a little and slowly continued.

“Interestingly enough, the '20s was the closest, but only, Goldbach guessed to GRH. Because in less than 20 years, or 1937 to be exact, Vinogradov and Esterman improved the roundabout, and the weak Gothenbach conjecture was founded without the aid of the broad Lehman conjecture, which proved to be' big enough '. ”

Then, by 2012, Tao Zhexuan, who “knows everything a little”, proved that “odd numbers can be summed up to five primes”.

Only a year later, Helfgott completely resolved the "weak Gothenbach conjecture” and narrowed it down sufficiently to a computable figure.

And this is the result of being completely out of GRH, let alone RH.

In fact, it is not difficult to find that in many cases, the birth of a theorem was first established by mathematician A based on GRH or RH, to draw a beautiful conclusion 1, which attracted everyone's interest.

Then Mathematician B comes out and tries to prove Conclusion 1, which can be established independently of GRH. If not, Mathematician C will consider substantiating a weaker conclusion than Conclusion 1, without assuming that RH is established alone.

When conclusion 1, 2, 3... n came out, everyone looked at it, huh? The tools and theories that have been invented have already proved RH, so more people are challenging this proposition, and the Clay Institute will probably swap RH's reward for GRH.

Yes, abstract history is full of paths.

But it is in this cycle that civilization moves forward.

Will someone drive the car backwards and reconnect with something that's already out of touch with GRH?

emmm…

It's interesting to repeat the work of your predecessor, but what's the point? If a student did this, he would probably be watched by the professor with a praiseworthy eye, which is worth encouraging. But if a professor or a scholar does that, they'll probably be watched by their peers in a caring way.

“Lehman figured it was a very important thing, and maybe in the future the Clay Institute would give Dr. Innock the answer he was expecting, but that had nothing to do with me. I have described the relationship between Lehman's and Gothenbach's thoughts only in common language. ”

The Ark laughed and continued: "If that's not common enough, I can say more common. ”

“The prime number in the Lehmanzeg function is multiplied, while the prime number in Godebach's guess is added! ”

This statement is inaccurate, but it must be sufficiently graphic.

The audience downstairs will smile.

In this way, it is true that a lot has been understood.

Speaking of which, the ark paused for a moment and continued with a smile: "As to why it is important to say that the Gothenbach conjecture is not the Lehman conjecture, because for most people prime numbers are used to multiply! At the same time, the two propositions are not equivalent or even entirely absent from a ‘system’. That's not one of my words, and even if you don't understand the difference between RH and GRH, you should know exactly what Vinogradov did when he proved the three-prime theorem. ”

“And this is what you want for dry goods. ”

The crowbirds under the stage were silent.

Looking at those two persuaded eyes, the Ark knew that it was almost ready to start closing, so he made a summary of his report with the sounds of a candlestick.

“There are conceptual things that cannot be circumvented by a single sentence system. The whole mathematics is surrounded by the ‘system’ of Piano justice, but not all the problems are as obvious as Piano justice. Especially when you really know it, you'll find that it's clearly '1 +1’, but ‘1 +1’ and ‘1 +1 = 2’ say something completely different. It's obviously a matter of 'prime numbers', and it's even about 'distribution', but the two rods can't be broken. ”

“Speaking of myself, there is absolutely nothing great about it. I stood on the shoulders of countless giants to see the scenery. Mr. Chen's contribution to the Grand Screening Method is self-evident, and the discussions at Berkeley and Professor Tao have greatly benefited me. Helfgott's thesis has opened the door to a new world for me, and they are all the kung fu of history, although history may remember only one name. Their work, however, was not summarized in just three hours, and I thank them wholeheartedly. ”

“Although it took only two months to complete this paper, concrete work began a long time ago. ”

Though it was not something deep, he spoke as much as he could of what he knew in a commonly understood language.

Although, Mr. Lalte probably doesn't like to hear these words.

The ark was not mistaken.

He has even noticed Lart standing next to the podium with his eyes on fire, his tight fists grey and angry expression.

But that doesn't change anything.

Unlike China, the cause of the populist problem lies in the fact that the high White House and Wall Street never speak of a thing that is too difficult for ordinary people in a voice they can understand.

The solution to this problem is simple.

Just talk.

If he wrote more than three lines on the whiteboard today, other more influential media such as The New York Times tomorrow would certainly be another painting.

But now, he feels like he's convinced at least some people.

Sometimes the Ark finds itself not knowledgeable about politics, experimentalism and scientific thinking teach him something, let alone people's hearts, even the judgment logic that the system does not explain, he can strip the cocoon.

Perhaps by the time he reaches level 10, the system will have no secrets in front of him.

He's sure he'll see that day.

The ark was heartfelt and gently let go of the chalk.

The moment he dropped the chalk.

Downstairs is already a round of applause...