Scholar’s Advanced Technological System

The MRS Conference is one of the regular academic activities of the American Society for Materials Research and the most influential conference in the field of Material Science.

Its coverage covers almost all of the research fields in the field of Material Science, and its status is probably equivalent to the “International Mathematics Conference” in the Material Science community. Almost all of the material in the Material Science world will be exposed at the conference.

However, unlike the “International Mathematics Home Conference” which opened in four years, the MRS is twice a year, divided into spring and autumn. Spring is generally in Phoenix, Arizona, and it is more stable in the fall, usually in Boston, Massachusetts.

The purpose of the conference was to exchange technology, showcase results to the industry, and bridge the gap between rich companies and labs that lack money, while also providing a torn place for peers.

Yes, it is torn.

If someone moves at the meeting and the reporter throws shoes, then don’t be surprised. On the contrary, no one had quarreled at that session. Everyone calmly opened the meeting, exchanged opinions, reached a consensus, and praised the technology of the peers… It will surely make people in the industry doubt whether the sun is coming out to the west.

The more the big cow, the more it is torn.

This situation is hard to see at the International Mathematics Conference.

In a sense, the style of mathematics and other subjects is really different.

As a mathematics professor, Lu Zhou has no interest in tearing.

But for him, this meeting is an opportunity.

Moreover, MRS suddenly sent an invitation letter to him. Presumably, many people are very interested in his research results.

Of course, even so, Lu Zhou has not forgotten his identity.

He is a mathematics professor.

Even if he wants to see the “future era” after the tenth level, he has to look a little longer, and he can’t drop the mathematics that determines the upper limit of other subject levels.

On the last day of August, Lu Zhou tested two other students in the office of the Institute of Advanced Studies.

The same is the ten questions, limited to two hours.

After handing the A4 paper with the title to the two hands, Lu Zhou picked the book from his desk and flipped it through the hand.

Time passes by.

As the ringing of the phone ringed, Lu Zhou slammed the book in his hand and looked at the two people who were struggling with the book on paper.

“Time is up, let me see how you are studying this month.”

Hardy put down his ballpoint pen in a headache, and Qin Yue, who also stopped the pen, was also nervous.

“Professor, the time you gave is too short,” got up and handed the test paper to Lu Zhou’s desk. Hardy looked bitterly. “If you give me another ten minutes, I can definitely write the next one.” ”

“The length of time is not the key, and I have not asked you to make every question, let me see what you will do.”

After taking the test papers of two people, Lu Zhou spoke and scanned the subject.

For him, these are very simple things to answer, and there will probably be a number in the heart.

Qin Yue made six questions, and the seventh question was not finished, but the idea was not a big problem.

Overall, his situation is not bad, and this is also expected by Lu Zhou.

Hardy made five squads and barely met the eligibility criteria, which was somewhat unexpected by Lu Zhou.

Lu Zhou had thought that at least one person could not pass his test, and this person is most likely to be Hardy. Because among the three students, his character is the most impetuous.

However, it seems that the situation is more optimistic, and all three have obtained the qualification to participate in this topic.

Putting A4 paper aside, Lu Zhou cleared his throat and said.

“First of all, congratulations on joining my topic.”

Hearing this sentence, Hardy, who was somewhat frustrated because he only made five questions, was surprised and widened his eyes. Next to Qin Yue, it also showed a strange expression.

As if to see through what they were surprised, Lu Zhou explained in a relaxed tone: “The pass line I set is five questions, at least five can be made, indicating that you have listened to the arrangement I arranged, this one and a half months. Time is at least not ruined.”

“With regard to the subject of our subject, I will simply say it.”

After drinking a coffee, Lu Zhou stood up and walked over to the whiteboard in the office and picked up the marker.

Vera, who was sitting in the corner of the office and silently collecting documents from the computer, stopped working on her hands. Like the other two students, she sat in her chair and sat in front of the whiteboard, waiting for Boss to speak.

“One and a half months ago, I told you that our subject is related to the hail.”

“If you have an understanding of additive number theory, I believe you probably already guessed what the topic is.”

Hardy and Qin Yue have nodded.

As Lu Zhou said, they have already guessed what the problem is.

As for Vera, there is no extra reaction. After all, half a month ago, she passed the assessment and even participated in the project.

Paused, Lu Zhou continues to preach.

“The so-called hail conjecture, also known as the Corner Guess, or the 3n+1 problem. The proposition described is that for any given positive integer N, after fokn(n) = 1 has a finite number of consecutive effects, there is no exception. Enter the number trap of {4, 2, 1}.”

“Popularly, choose an N, if N is odd, the next step is 3N+1; if N is even, then the next step becomes N/2. After a finite number of cycles, no matter how its value swells during this period, but ultimately It will surely fall to the bottom of 1 like a hail.”

Having said that, Lu Zhou paused for a moment, and laughed continued.

“Like a black hole.”

Compared to Goldbach’s conjecture, Hail’s conjecture is no doubt better in the United States.

In the 70 era of the last century, almost all American college campuses have seen people delving into this magical “digital game.” This phenomenon, even on the North American old newspaper “Washington Post”, and formed a wave in a period of time.

Of course, for the average person, this is a digital game, but for the mathematics, it has deeper things.

“This is a number theory problem, and it is a classic problem in additive number theory. But in the end, it is a complex analysis problem!”

“The corner valley conjecture is your mission for the next three years. I don’t ask you to fully prove this proposition, but you have to at least complete a thesis in this direction worthy of being included in the mathematics annual publication…”

Lu Zhou thought about it, wrote a pen, and wrote a line on the whiteboard.

Seeing this line of calculations, Qin Yue immediately took out the notes he took with him from his pocket, and Hardy quickly started his spirit.

As for Vera, it is as concentrated as ever.

“Although the outside world is generally pessimistic about the solution to this problem, in fact, the number theory community is not making no progress on this issue.”

“In the 1990s, it was precisely 94 years, L.Berg and G.Meinardus Professor proved that the 3n+1 conjecture is equivalent to the function equation h(z^3) That is the equation I used in the upper panel book.”

“The emergence of this equation paved the first brick that led to the summit for subsequent proof.”

Some things can’t be said.

Responding to the three pairs of hopeful sights, Lu Zhou turned and continued to write on the whiteboard.

[…]

Seeing these lines of calculations, Vera’s eyes gradually brightened.

Qin Yue and Hardy, respectively, revealed a thoughtful and incomprehensible expression.

After stopping the pen, Lu Zhou gently placed the marker on the table next to him, and lightly smiled to his three students.

“This step is critical.”

“If it can be proved that there is an integer function h(z), for each g(z) above, each branch of Φ(g) containing a positive integer has z0∈D, so that [gok(z0)] converges. To 1…”

Pause for a moment, looking at the three pairs of looking forward, Lu Zhou laughed, said in a positive tone.

“Therefore, we can prove it.”

“3n+1 is here!”