Research starts with PhD students

Chapter 81 This research must be related to Zhang Shuo!
soon.

Two days passed.

At 8:30 in the morning, the homepage of the official website of Soochow University updated a scientific research achievement information with the title "Making the 'boundary' wider, a major breakthrough in the Monge-Ampere equation, the results were published in the Annals of Mathematics."

After clicking the title, you will be redirected to the page introducing the results. At the beginning is a brief introduction to the Monge-Ampere equation:

“The importance of the Monge-Ampere equation lies in its wide applications in multiple disciplines and its theoretical challenges.

The Monge-Ampere equation is a class of fully nonlinear second-order partial differential equations that originate from Riemannian geometry problems and play a role in the proof of Calabi-Yau manifolds. Due to its fully nonlinear characteristics, solving the Monge-Ampere equation has always been a challenging problem. "

Then he talked about the research breakthrough, "Zhang Shuo, a researcher at the Institute of Advanced Mathematics of our university, and Professor Luo Yongjun have studied the 'smoothness of the solution of the Monge-Ampere equation'. Based on the 'natural boundary regularity demonstration of the Monge-Ampere equation' by Professor Chen's team from the University of Science and Technology, they have continued to expand the boundary of the smoothness of the solution of the Monge-Ampere equation.

They jointly published a research paper titled "Boundary extension of global regularity of the Monge-Ampère equation" in the top journal Annals of Mathematics.

The following is an introduction to the smoothness of the solution to the Monge-Ampere equation, and how the research was expanded on the basis of Professor Chen's team. He also talked about the significance of the research, "The research broke the limitations of natural boundary conditions and demonstrated the smoothness of the solution to the Monge-Ampere equation in a wider range of fields.

The research itself is an expansion of boundary limitations, and also provides a new method and means to study the boundary problems of the Monge-Ampere equation.

Professor Orkov, a famous scholar in the field of partial differential equations at the Princeton Institute for Advanced Study, believes that the greatest significance of the research is that it breaks the limitations of natural boundary conditions and achieves a breakthrough from zero to one..."

Institute of Advanced Mathematics.

Wang Hui came to his office, made a cup of coffee and put it next to him, turned on the computer to read the news, and then noticed that the school had released information about scientific and technological achievements.

He didn't pay much attention to it at first, but after taking a quick glance, he couldn't take his eyes off it.

"Boundary extension of the Monge-Ampere equation?"

"Published in the Annals of Mathematics? Are you kidding? I'm a researcher at the High Court, how could I not know about it..."

He was a little confused for a moment. His first reaction was "impossible". Then he had a strange feeling, "The boundary extension of the Monge-Ampere equation... sounds familiar. Where have I heard of this project?"

He immediately clicked on the results information page and immediately knew why it felt familiar.

Luo Yongjun!
It’s really Luo Yongjun!
Wang Hui opened his mouth in surprise. He really felt like his brain was not working anymore.

"How can this be?"

"Luo Yongjun? That school funded the research with tens of thousands of dollars, and he actually completed it?"

"Last year, there was a breakthrough in the study of the boundary of the Monge-Ampere equation. Can he make another breakthrough based on that breakthrough?"

"This……"

Wang Hui finally closed his mouth and began to read the news carefully.

He didn't even need to look at the complicated equations. He immediately focused on the most critical part -

"Zhang Shuo, a researcher at our Institute of Advanced Mathematics, and Professor Luo Yongjun..."

"Zhang Shuo and Luo Yongjun..."

"Zhang Shuo?"

This makes a little bit of sense.

However, it was only a "little bit". Wang Hui immediately stood up in surprise. He walked out of the door and shouted, "Professor Qi, did you know? The school's news!"

"The Monge-Ampere equation, the boundary expansion argument..."

"And... Luo Yongjun!"

Before the new issue of "Annals of Mathematics" was published, Luo Yongjun kept the news very secret. He did not tell anyone else. Only Zhang Shuo and Sun Xingli knew the news.

It was not until the information was released yesterday evening that he told the school about it. The High Court and even the entire School of Mathematics had no idea about it.

Now that they know, their reaction is no better than Wang Hui's.

Luo Yongjun's project is a big gossip in the college.

Everyone thought he was trying to defraud funding, and no one believed he could complete the research or publish any papers.

The result... is completed?

Some people who knew Luo Yongjun immediately went to the computer room.

Luo Yongjun was sitting in front of the computer at the door. He rested one hand on the table and rubbed his forehead vigorously with his fingers, as if he had a headache from thinking too much about his studies.

In fact, his mouth had already stretched into an exaggerated arc, and he could only suppress his laughter by closing his eyes tightly and tensing his muscles.

"Professor Luo!"

"Lao Luo!"

Several professors came to the computer room together, and when they saw Luo Yongjun, they immediately said, "You are really amazing! You can hold back such a great achievement."

"This research is affiliated with that small project of the school, right? The funding is only tens of thousands of yuan, but you have achieved the level of outstanding young scientists!"

"This achievement is so huge. It expands the boundaries of nature. It really opens my eyes!"

"You don't know how surprised Wang Hui from the High Court was. I said at the time that Luo Yongjun's level was definitely top-notch in the academy. What's so surprising about him being able to complete the research?"

Several professors surrounded Luo Yongjun and praised him.

Luo Yongjun turned his head with a silly smile on his face, and kept saying, "Thank you, thank you, my level is not that high..."

He was humble for several sentences, and then he was asked, "Where is Zhang Shuo?"

"Zhang Shuo isn't here?"

"I thought Zhang Shuo was here..." Luo Yongjun asked doubtfully, "Are you looking for Zhang Shuo?"

"No, no, just asking." Someone replied, "Isn't that your joint research?"

"Correct."

In fact, many people think that Zhang Shuo may have played a huge role in the research.

How could Luo Yongjun complete such research alone?
……

The impact of the research is indeed huge.

Professor Chen from the University of Science and Technology was also surprised to hear the news. His research was published last year, and he originally thought that there would be no major breakthroughs in the Monge-Ampere equation in the next 20 years.

As a result, it was there in just one year?

Professor Chen contacted Luo Yongjun immediately, congratulated him, and asked about the research issues.

Luo Yongjun was also very pleased when he received the email. He explained his research to Professor Chen and also discussed seriously how to continue to expand the boundaries using similar methods.

Such research is not a breakthrough, but a continuation of the argument in an imitative manner.

the other side.

After reading the email, Professor Chen said to his colleague Wu Zhendong, "Professor Luo Yongjun is quite capable, but I think this research should be related to Zhang Shuo."

"Young people always have some creative thinking and innovative research methods. They used a matrix method to prove the density function..."

"Also, the final stage of the argument..."

He talked about some professional stuff, and then said, "Zhang Shuo, what a talent!"

"He has published two top-ranked papers in computational mathematics, and they are research papers on general algorithms with high application value."

"It seems that he has made some achievements in the pure mathematical proof of partial differential equations. If there is an opportunity, I would like to discuss and exchange more with such young people."

Wu Zhendong nodded and said, "Zhang Shuo, he won the Zhong Jiaqing Mathematics Award of the Mathematical Society, right?"

“We can see him at the Daya Bay Conference.”

at the same time.

Zhang Shuo was bored in the dormitory, talking with Cui Kaiwen about algorithmic problems in large-scale experimental deviation analysis.

He has already sent the core algorithm.

People in the computing center need to digest and understand the core algorithms, which involves a lot of computing logic problems.

At the same time, there are some new problems.

Cui Kaiwen was asking about the 'output parameters' issue. "We haven't had time to analyze the details yet, but there is a very special data in the overall output. The description says 'overall deviation'?"

“We don’t quite understand.”

Zhang Shuo explained, “The overall deviation is a defined evaluation deviation value.”

"Under the condition that there is no influence from any external factors, even if the position, angle and energy level of the particle collision are different, the deviation will be 0."

"If you still don't understand, you can look at the calculation procedures related to the deviation..."

Deviation is so important.

In the deviation analysis algorithm, the degree of deviation is a summary data to measure the deviation between experiments and simulations.

From the perspective of algorithmic logic, the experiment is not affected by external factors and the deviation can be infinitely close to zero.

In reality, the deviation can never be zero.

This will also become one of the important bases for proving the existence of "unknown physical phenomena".

Cui Kaiwen talked with Zhang Shuo for a few more sentences and roughly understood the meaning of deviation.

If the deviation value is very high, it means that the experiment is greatly affected by external factors.

He immediately asked, "Is it possible to add the calculation output of deviation in the small experiment analysis algorithm?"

"Of course." Zhang Shuo replied.

"Once we understand this part of the algorithm, we can add it to the small-scale experimental analysis program and then see the results."

“On the one hand, it’s a test, and on the other hand, it can also be seen as an achievement.”

After Cui Kaiwen finished speaking, Zhang Shuo thought about it carefully and said, "You can try it. I estimate that the deviation will be between 0.05% and 0.07%."

"why?"

“That’s my estimated number.”

Zhang Shuo did not explain further.

In fact, he was looking forward to it very much, because calculating the deviation of small experiments would yield very interesting results.

After they do the calculations, they will find that regardless of whether there is the so-called "influence of air particles" or the "fixed direction deflection of massive particles", the calculated deviation will be within a fixed range.

Those phenomena that can be seen clearly do not affect the calculation results of the deviation degree, just as the phenomena that can be seen clearly concentrate all the deviations, and without clear phenomena, the deviations are dispersed among all particles.

Such results, to a certain extent, can already indicate that there may be some undiscovered physical phenomena in the experiment.

(End of this chapter)