Qin Ke chose "The Derivation and Proof Process of the First Four Groups of Expressions of Riemann's Hypothesis" for his master's degree thesis, and "Proof of Goldbach's Hypothesis" for his doctoral degree thesis. He had no tutor in the mathematics department, so the department

Li arranged for Academician Tian Jianlan to be his graduate tutor and doctoral tutor - it is said that this tutor in name only caused the professors in the mathematics department to argue. After all, even in name, he was Qin Ke's teacher!

Now who doesn’t know that Qin Ke has a great chance of winning the Fields Medal?

The mentor of a Philby Medal winner will put three layers of gold in his face if he talks about it!

In the end, it was Vice President Gu Bojun who made the decision and asked Academician Tian Jianlan to serve as Qin Ke and Ning Qingjun's graduate supervisor and doctoral supervisor in one fell swoop.

No one dared to object to this choice. After all, Academician Tian was originally Ning Qingyun’s teacher. Qin Ke also wanted to study under her, but Academician Tian Jianlan was too modest to teach Qin Ke.

He gave up, but afterwards Qin Ke and Ning Qingyun still called Tian Jianlan "teacher".

What's more, Tian Jianlan is currently the only full-time mathematics academician in the Department of Mathematics of Qingmu University!

——I would like to mention here that Mr. Qiu is a foreign academician and is a semi-independent department of Qiuzhen Academy (Mathematics and Applied Mathematics), not affiliated with the Department of Mathematics.

Therefore, many professors can only be half jealous and half lament that Academician Tian Jianlan has really turned his fortune around over the past year or so.

What Qin Ke chose were previous academic results, which could be used with minor revisions to the paper. Because during this period, all his thoughts on mathematics were spent on the derivation of the fifth set of expressions of the Riemann Hypothesis, and he had no energy to prepare a new paper alone.

.

But Ning Qingyun was different. She concentrated most of her energy and spent nearly ten days to complete half of the thesis she had written before. Finally, she formed two papers with different themes, one for her master's degree defense.

"Innovative Applications of Stochastic Systems and Algebraic Geometry in Number Theory" and "Solving the Theoretical Error Bound Problem in Deterministic Simulation Methods through Functional Analysis" for doctoral thesis defense.

The excellence of these two papers even surprised Qin Ke.

The first master's thesis is basically Ning Qingyun's experience in studying the "Ling Ning Number Theory Nonlinear Structural Method" in the past few months. It combines the number theory theories of Wang School and Chen School, as well as her own deep understanding.

Combining random functions, probability theory and algebraic geometry, she formed a new set of number theory methods almost entirely original to her, which is extremely helpful in solving certain probability-related number theory problems.

I say "almost" because there is a bit of "Lime Number Theory Nonlinear Structural Method" in it, but not much, only about 10%, and more of it is original and deeper innovation.

This paper alone is enough to become an excellent doctoral thesis, but Ning Qingyun only used it for the defense of his master's degree.

The other article "Solving the Theoretical Error Bound Problem in Deterministic Simulation Methods through Functional Analysis" is even more remarkable. Ning Qingyun solved the problem for the first time in the function through functional analysis and mathematical modeling methods that she is best at in the past two years.

The limitations of the error bound of non-smooth functions under discontinuity and its convergence issues can even be applied to short buying and selling options and futures operations in the stock market. It can be said to be an outstanding achievement in the direction of applied mathematics. At least it can defeat 70% of the domestic youth in one second.

Topic.

In fact, this is also an academic piece that Ning Qingyun and Qin Ke tried to trade in U.S. stocks at the beginning of the year. However, they found that the trend line of U.S. stocks had completely deteriorated and there was no possibility of improvement in the short term, so they turned to study the experience of buying and selling short index futures.

Results.

It is the stated goal of the two of them to try to make money in the U.S. stock market to exercise their abilities and supplement funds for future scientific research.

To this end, the two of them used about two weeks of free time in Germany in March to analyze a large amount of historical data with the help of low light, and established a mathematical model based on stochastic systems and probability theory and statistics.

After the model was established, it was mainly followed up and improved by Ning Qingyun.

Relying on the automated trading of this mathematical model, the two of them won more and lost less. The compound interest on the US stock account with more than 3 million US dollars has now nearly doubled to more than 6 million US dollars. This is what Ning Qingyun later put most of

The energy was put on perfecting the "Nonlinear Structural Method of Green Lemon Number Theory" and overcoming Goldbach's conjecture, and there was no result in updating the mathematical model.

The ability of top mathematicians to make money in the stock market is evident.

Of course, the premise is that there is a short-selling and short-selling stock index futures system like the U.S. stock market. Otherwise, in a bear market with a unilateral decline, there is no way for gods to avoid losses.

Ning Qingyun's two papers had been given to Academician Tian Jianlan for review in advance. Academician Tian Jianlan only made a few minor comments and agreed to her using these two papers for defense.

June 10th is a Friday, and Qin Ke and Ning Qingyun's class schedule is relatively loose every Friday. Thesis defense on this day does not take up their usual class time.

So early in the morning, the two of them put on formal clothes and set out to participate in two consecutive defenses in the morning.

This master's, bachelor's and doctoral thesis defense specifically for the two people was originally just a formality. Due to Ning Qingyun's attention and careful preparation, as well as Academician Tian Jianlan's repeated insistence and request after seeing the thesis results of his proud disciple,

The final standards of these two degree defenses were frighteningly high and very formal and rigorous.

The defense judges include not only Mr. Qiu, the number one person in mathematics in China, Academician Tian Jianlan, and three senior professors from the Department of Mathematics, but also two academicians from the neighboring Yan University, one of whom is the vice president of Yan University.

, I don’t know how Qingmu and Yanda, two universities that have always been diametrically opposed to each other, reached this agreement.

Such specifications alone were scary enough. What surprised Qin Ke and Ning Qingyun the most was that the school also invited academician Wang Heng, who was recuperating at home and had not been out for a long time, to come and observe.

This chapter is not over yet, please click on the next page to continue reading! Academician Wang Heng is the only remaining Beidou in the field of number theory in China, with a transcendent status.

Of course, he also has another identity, that is, the teacher of Qin Ke and Ning Qingyun. This is a teacher who has truly studied under him and has the status of teacher and student! And the Wang faction, headed by the old academician Wang Heng, has also become

They have given Qin Ke their biggest support and backing in the world of mathematics!

Qin Ke and Ning Qingyun were also very happy to see the appearance of Academician Wang Lao, especially when they saw that he had practiced the "Oriental Cuiyuan Method" and his health had improved a lot after strict dietary regimen. They were even more happy.

With Academician Wang's old age and original physical condition, he is afraid that he will not be able to survive even two years. But now it seems that as long as he continues to practice the Eastern Method of cultivating energy, he should be able to survive for another five or seven years. How can this be possible?

Don't let Qin Ke and Ning Qingyun, who respect this old man very much, feel happy?

Academician Wang Heng's eyes were full of joy when he looked at the two closed disciples. He didn't expect that he would soon be buried in the grave, but he would have such two outstanding disciples who solved world-class mathematical problems one after another. Now even the famous Goldbach

Guess is also trampled underfoot.

You must know that the two of them are only in their early twenties!

The future of Xia Guo’s mathematics community will undoubtedly be bright.

The old man smiled and said: "Okay, okay. My old man came here specifically today just to see your latest results. Just start when you are ready. Don't worry about me, and don't affect your mood for the defense."

Qin Ke and Ning Qingyun saluted the teacher and then walked to the front row and sat down one after another.

"Let's begin. Qin Ke will come first." Wei Yuanfu, chairman of the Department of Mathematics, who acted as the host, gave instructions. The cameras behind him were also turned on simultaneously, and there were even full-time cameramen taking pictures.

This defense, which only two people will participate in, will be recorded in its entirety and will be forever preserved in the school archives and publicity department as precious information and the highest standard and most special graduation defense in the history of Qingmu University.

Qin Ke's defense went very smoothly. His papers were all ready-made and published, with only slight modifications. However, he was the only one in the world to use Riemann's hypothesis and Goldbach's hypothesis as his degree defense papers, so the judges all

I listened very carefully and asked many difficult questions during the question-and-answer session.

Qin Ke answered fluently, and the two rounds of degree defense, which were originally scheduled to take one hour, ended in only forty minutes.

There was no suspense about the result. The judges and teachers exchanged opinions and after scoring, Qin Ke completed the entire defense process and obtained a perfect defense score of 100 points, which was recorded in the student file.

When the applause sounded, Qin Ke bowed and saluted the judges and teachers.

Principal Huang who was observing came forward, smiled and shook hands with him: "Congratulations, Dr. Qin Ke. I hope you will continue to achieve greater results in mathematics in the future."

From the moment he passed the thesis defense, Qin Ke was already a de facto doctoral candidate in the Department of Mathematics, and he deserved to be called "Dr. Qin Ke".

Ning Qingyun's defense took longer because no one else except Professor Tian Jianlan and Qin Ke had read her thesis.

The girl with a single ponytail stood on the podium, played ppt, and began her two degree defenses.

For Ning Qingyun, who has been on the international stage many times and delivered an hour-long academic report in a conference hall where thousands of mathematicians gathered, there were several heavyweight academicians sitting in the audience, their eyes focused on the gathering.

The scene of looking at her ppt in awe can be considered "pediatric".

So apart from being a little nervous at the beginning, she quickly became calm and talked to the whole audience without any stage fright. She performed very well. When it came to the defense session, Academician Tian Jianlan first asked a few questions such as "Approximate goals"

"How is the convergence problem of function values ​​solved?" and "You didn't mention the convergence problem of residuals of approximate solutions in the paper. Did you not take it into consideration or for some reason?" Ning Qingyun all had very deep questions.

Answer each one carefully.

Academician Tian Jianlan nodded and said: "I have no other questions. Please continue to ask more questions and strictly evaluate this student's academic ability."

Mr. Qiu, who easily refused to praise others, couldn't stand it anymore and said with a smile: "Xiaotian... even if you want to find other ways to get your students to perform better, you don't have to use this method. We all admit that she is excellent.

You're very good, okay? It's not easy for us to ask more difficult questions than you."

Everyone burst into laughter.

Everyone can see that Academician Tian Jianlan is extremely satisfied with this disciple whom he has carefully cultivated, so he will test her with the most difficult questions, allowing Ning Qingyun's mathematical ability to be fully demonstrated in every question and answer.

Academician Tian Jianlan also raised the corner of his mouth, but quickly stopped it: "Each judge asked questions. This is a necessary process for the defense."

"Okay, let me ask too. Xiaoning, I see that in your first paper, you used the idea of ​​domain decomposition for continuous partial differential equations. Can you explain this part of the details in more detail?"

"Okay, no problem." Ning Qingyun pulled a whiteboard and said while writing: "I will first show the basic steps of the space reduction method through pure algebra, and then establish a generalized boundary parallel to the integral equation method.

Integral equations, and then starting from local symmetry, reduce infinite calculation problems to finite calculation problems with the help of symmetric coupling, which greatly simplifies the study of prime number interval problems..."

After hearing this, Mr. Qiu couldn't hide his approval in his eyes: "Very good."

Academician Fang Zhiyun, the vice president of Yanda, even sighed: "The level of the first paper alone is more than enough to be used directly to evaluate a professor. It is too wasteful to use it as a master's thesis. What, Dr. Ning, will there be more opportunities in the future?"

Not interested in teaching in our School of Mathematics at Yanda University? You can directly arrange your salary according to the full professor level."

Mr. Qiu raised his eyebrows and scolded with a smile: "Lao Fang, you, Mr. Yan, have so many talented people, don't you think it's too much to come to our Qingmu to dig people? I'm not afraid to tell you that Ning Qingyun and Qin Ke have already agreed.

, you will be working as a lecturer at my Qiuzhen Academy in September, you want to poach people? Don’t even think about it.”

Academician Fang Zhiyun pretended to be unfair and said: "What? Give you the treatment of a mere lecturer? Mr. Qiu, although I respect you, I can't bear to see you neglecting talents like this."

Mr. Qiu snorted and said: "Lecturers are only part-time. They have to continue their studies in physics. Otherwise, do you think we will begrudge a professor's treatment? I can even guarantee that they will become the youngest academicians in ten years..."

"Ahem——!" Director Wei Yuanfu coughed loudly, interrupting the competition between the two old academicians: "Two academicians, it is still the defense period, please don't go off topic, and besides..." he pointed

Pointing to the camera behind him, he smiled bitterly and said, "The whole process is being recorded. Be careful of the impact."

Mr. Qiu and Academician Fang Zhiyun finally stopped talking. Several other judges also asked one or two questions each. Ning Qingyun's two degree defenses ended smoothly without any surprise.

The two went to the locker room next to them and put on their academic uniforms, and stood side by side on the podium. Under the witness of the flashing lights, Principal Huang handed over the master's degree and doctorate certificates that he had prepared long ago to Qin Ke and Ning Qingyun.

Congratulations to both of you.
To be continued...