Amerikan, California, southern San Francisco Bay Area, Stanford University.
The lights are still on on the second floor of an office building.
The gray-haired Professor Brian Dweck stared at the computer screen in high spirits.
He raised his head and looked at the time. It was already past ten o'clock in the evening. He continued to look at the screen nonchalantly, and continued to record and calculate with a pen.
He is reviewing the paper.
As a co-reviewing editor of "Computer Mathematics and Information Engineering", Brian Dweck is very conscientious. He also likes paper review work because he can always see some novel research and development and ideas.
Just like now.
"Fourier transform assists in constructing data models and is used for data analysis algorithms?"
"One application paper, two algorithm architecture papers?"
"Submitted three articles..."
When Dweck saw the manuscripts sent by the editorial department, he had a very ridiculous feeling, not just because of the content of the papers, but because there were too many papers.
One author, three papers submitted!
After carefully reading the contents of the three papers, he realized why the other party submitted three manuscripts. One of the contents was about the algorithm application of Fourier transform, which can be understood as "expanding thinking and algorithm application instructions".
The other two are purely analytical methods for constructing data models based on algorithms, which are solid research in the field of Fourier transform applications and computer algorithms.
The three papers were completed together, and their contents are related.
"The algorithm paper is divided into two parts...it must be that there are too many pages."
After Dweck took a general look at it, he knew why the following paper was divided into two parts.
Ordinary paper submissions with more than ten pages are already difficult to pass the review.
For those papers that publish dozens of pages at a time, they first make a results report. After confirming that the results are real, effective, and very meaningful, they may be invited by the corresponding magazine to submit and publish them all.
The content of the two algorithm papers in front of me has been streamlined and streamlined, reaching twenty-two pages.
After Dweck reviewed the narrative paper on application directions, he immediately became interested. He found that the author of the paper was very thoughtful. Some of the application directions in it had never been thought of. But when he thought about it carefully, he found that there were indeed some
Implementability.
Then, he read the algorithm paper.
It is not necessary to write down all the content when submitting a paper. Even if it is a computer algorithm paper, it only explains the main body of the algorithm and makes an introduction along the way.
The main content of the paper submitted by Wang Hao is to apply Fourier transform to construct mathematical models, and to assist in data analysis within the framework of mathematical models.
Even if only the general framework is introduced, the main content is very complex and not easy to understand.
Dweck looked carefully, studied carefully, and continued to calculate with his pen. He studied for three hours before he understood the process of constructing a mathematical model.
He made a cup of coffee, took a short break, and then returned to the screen. He couldn't help but sigh, "What a genius!"
"This algorithm can be applied to data analysis."
"For the analysis of ultra-large-scale data, the more data there are, the more efficient this method will be..."
Dweck took a break and continued reading.
It took more than an hour to read the last part of a paper. Then I looked up at the time and found that it was already early morning. I did not continue reading. Instead, I sent a message to the editorial department, "These three papers are very meaningful.
."
"The suggestions will be published together as the core of the current issue."
He made a comment in passing, "Genius idea! Genius creativity and research!"
"It is a brand new application method of Fourier transform, which is very valuable for very large-scale data analysis. In the future, it may even change the framework model of high-end data analysis——"
at the same time.
Wang Hao is staying in the small library on the top floor of the laboratory building of the School of Science.
This small library is only open to doctors or teachers. It contains some very professional and profound books.
Many books are not even translated and are purchased directly from abroad, because ordinary people cannot understand them at all, there is no market for them, and translations are meaningless.
Wang Hao found a full English version of "Analysis of Mathematical Principles of Differential Equations" and sat on a chair to read it carefully for more than two hours.
He found that the analysis of mathematical foundations was very in-depth and thorough.
Reading books can increase knowledge, and it can also increase inspiration value.
This book made Wang Hao feel that he had gained a lot, and at the same time, his inspiration value for the task of "solving common properties of specific partial differential equations" also increased by two points.
Two o'clock is already a lot.
Partial differential equations involve a wide range of knowledge, and his research is also very difficult. It needs to demonstrate the existence and uniqueness of the expansions of sigma_k, Q-curvature equations, curvature flow and Monge-Ampere type equations involved in geometry.
,Regularity and asymptotic behavior...
etc.
Every increase in inspiration is extremely valuable.
Wang Hao is not the only one in the library.
Zhou Qingyuan is also here.
There were two other people I didn't know. They seemed to be a doctoral supervisor leading a doctoral student to select books. The noise they made was not loud, but because the library was small, some sounds still reached my ears.
"Constant Variation Method."
"Nonhomogeneous ordinary differential equations."
"annotation."
Wang Hao captured several keywords, which should be related to the content of the doctoral thesis, and related to "Contact Variation Method to Relate Non-Homogeneous Ordinary Differential Equations".
This mathematics topic is not very difficult and is suitable as a topic for a doctoral thesis.
The two were discussing.
The doctoral supervisor suddenly said, "Professor Zhou is here. He is an expert in differential equations. If you have any questions, you can ask Professor Zhou."
Zhou Qingyuan smiled and raised his head, "You can also ask Wang Hao. He is no worse than me in differential equations."
Although it was an affirmation of Wang Hao, it was obviously a modest statement.
"This is Professor Huang Pei."
After he finished speaking, he introduced Wang Hao.
Wang Hao politely called out, "Professor Huang."
"Wang Hao!"
Huang Pei smiled and nodded to Wang Hao, then looked at his doctoral student, "This is Xiao Sun, Sun Jian."
Sun Jian smiled shyly and glanced at Wang Hao a few more times. Not to mention that Zhou Qingyuan was an old professor, he knew that Wang Hao's "scientific research mistakes" had been in the news.
In addition, Wang Hao is indeed very young, much younger than him.
Sun Jian still said, "I just don't quite understand the non-homogeneous ordinary differential equations and the general solution of the Riccati equation."
"A bit convoluted..."
He said and scratched his head.
Zhou Qingyuan nodded and said a few words, "Ricati equation. There should be no problem in solving the Ricati equation, right?"
"The Ricati equation is related to non-homogeneous ordinary differential equations. The difficulty lies in the transformation..."
"There is a classic Ricati equation that can be solved using the iterative method..."
Zhou Qingyuan said a few words briefly, and then asked Wang Hao, "Do you have any research on Ricati equations and non-homogeneous ordinary differential equations?"
All three people looked at Wang Hao.
"Non-homogeneous equation..."
Wang Hao actually had the inspiration of 'solving one-dimensional non-homogeneous equations'. He had also studied the Ricati equation, so he simply said, "The conventional, standard Ricati equation, combined with the non-homogeneous equation, only
Just merge and convert normally."
"Our studies are usually special cases, or those that are complex..."
He only planned to say a few words, but he found that 'inspirations' kept emerging in his mind.
Then just keep talking.
"The complex Ricati equation is also very complicated to solve, but for non-homogeneous equations, some other tools and other methods are needed..."
"For example, ode45, for numerical solutions in numerical analysis, can use the fourth-order and fifth-order Runge-Kutta algorithm..."
"Using algorithmic means and superposing some conventional solution methods for non-homogeneous equations, you can..."
Wang Hao said a lot in succession.
In the process of discussing, ideas kept popping up in his mind, and he continued after thinking about it. He even found that he was about to complete a research on the "Special Operation Solution of Ricati Equation".
The three people in the room listened very carefully and looked at each other with different looks.
Sun Jian looked over with admiration in his eyes. He did not expect that Wang Hao could talk in front of two professors about solving specific equations.
Moreover, the thinking is clear.
Some contents are definitely carefully considered and can be described as ‘research’, rather than knowledge that can be seen in books.
Zhou Qingyuan discovered that sometimes Wang Hao happened to say what he was thinking. Sometimes, the content of what he said was different, but it was equally meaningful.
To put it bluntly——
What he thought of, Wang Hao also thought of; what he didn't expect, Wang Hao still thought of.
"Could it be that Wang Hao has surpassed me in understanding differential equations?"
Zhou Qingyuan was very surprised.
He has always known that Wang Hao is excellent, but even a genius needs to grow up.
I have been engaged in mathematics research for nearly 30 years and thought I was a top mathematician, but was surpassed by a recent PhD graduate in his early twenties?
Huang Pei and Zhou Qingyuan have very similar feelings.
Whenever he thinks of something, Wang Hao can easily say it, and Wang Hao can also say other questions that he has not thought of.
Huang Pei's face was full of shock, "This Wang Hao is amazing!"
"No wonder!"
"Even if there are scientific research errors that bring huge losses to the project, Professor Zhou still strongly recommends that the school sign Wang Hao!"
"I see!"
"He is only in his early twenties, he will be great in the future!"