I Just Want to Be a Quiet Top Student

Shen Qi drew a figure on the blackboard, consisting of a circle and many curves, which looked like a big octopus.

"From the point of view of modern differential geometry, two-dimensional Riemannian geometry is Gauss's intrinsic differential geometry. Combining the graphics on the blackboard, who can give me an explanation to illustrate the constant curvature space in a two-dimensional manifold? How to realize non-Euclidean geometry?" Shen Qi began to discuss professional non-Euclidean geometry knowledge with students.

"I figured it out. The Gaussian curvature k of the surface is a constant α. When α is greater than or equal to 0, this abstract surface can be defined on the entire plane." Luca spoke first.

"Then what happens when α is less than 0?" Shen Qi asked.

"The domain of the surface is u square plus v square less than minus 4/α." Ajie rushed to answer.

"The answers of Luka and Jack are perfect together." Shen Qi expressed satisfaction. Luka and Ajie's performances have always been positive and their thinking is quick.

"I have a different view on this issue." Stephen, the son of an American farmer, unwilling to lag behind, expressed his views.

"In my opinion, non-Euclidean geometry is similar to calculus. There is more than one correct answer. I think I can explain the graphic on the blackboard like this..." John, the son of a British financial tycoon, expressed dissatisfaction.

The discussion atmosphere in the tutorial class was very lively.

The students made progress in the discussion and learned highlights from others.

After the tutorial class, Shen Qi asked Ajie, Luca, Stephen, and John to stay.

"In this non-European geometry tutorial class I brought, the four of you are the most outstanding." Shen Qi appreciates outstanding students. Students who can stand out in Princeton must be outstanding: "Tell me, except for non-European geometry. Geometry, what other courses are you good at?"

"Coordinate geometry, metric geometry, projective geometry." Luca is a geometric controller, he is crazy about all kinds of geometry.

"Actually, my math is only at an amateur level. I am better at interacting with girls. If interacting with girls is considered a course." Luca coquettishly worked on her hairstyle.

"Luca, how are you dating your Alabama girl?" Shen Qi asked.

When it comes to picking up girls, no one is better at picking up girls. Italian men have a sculptural three-dimensional silhouette. In addition to being handsome, their other stunt for picking up girls is thick-skinned.

"I haven't dated Alabama girls long ago. My current girlfriend is a Colorado girl." Luca said triumphantly.

"I've never been in a Colorado girl!" Stephen from Colorado was particularly uncomfortable. He envied and condemned: "The characteristics of Italian men, when you see one you love one, you love the other one!"

"The girls' topic ends here, Stephen, what about you, what do you like?" Shen Qi asked Stephen.

"Compared to geometry, I prefer discrete mathematics, and I will not give up my efforts to become an IT engineer in Silicon Valley." Once the American boy admits to his death, he really doesn't see the coffin or cry.

Discrete mathematics is widely used in computer science, and Stephen, the farmer's son, wants to develop in this direction.

"How about you, John?" Shen Qi continued to ask.

"Non-Euclidean geometry is a course for me, and I need to learn it for credits and diplomas. Game theory and financial mathematical analysis methods are a profession for me, a profession for the second half of my life." John said Sooner or later, he will return to the UK to take over the family's financial services company. His study at Princeton is very purposeful.

In the end, it was Ajie, the poorest at home, to speak: "I also like game theory, as well as probability theory, overall planning, and computational mathematics. I like practical courses."

Shen Qi: "No one is interested in number theory or the history of mathematics?"

"Pure number problems are useless. Can you make money? Can't it! The history of mathematics, leave it to history lovers to study." Ajie is very real, he only loves practical subjects that can make money.

"Well, I hope you get good results in the upcoming final exam." Shen Qi announced his dissolution.

The four second-year students have their own characteristics.

Italians like girls. He has a high talent for geometry. Picking up girls is his main business and geometry is a hobby.

The British's highly purposeful advanced studies can bring benefits to his family. They follow a step-by-step approach and plan a lifetime career path from the age of one.

The son of a Colorado farmer wants to enter the IT industry and display his ambitions. In his opinion, farming and raising horses have no future. Silicon Valley is the core place that represents the future direction of development.

The son of the owner of a fruit shop in Chinatown wants to make a fortune in order to change the family's social status and quality of life.

Young people nowadays are either spending a lot of time and indulging in enjoyment, or trying to make money as the CEO of both fame and fortune.

There are fewer and fewer young people who can calm down and study pure theory. Even in Princeton, where academics are supreme, the atmosphere of hedonism, pragmatism, and utilitarianism is gradually rising.

It is not difficult to learn mathematics, but to train young people.

"So, it is the older generation of scholars like Professor Muller and Professor Faltings who are truly scholars. If Princeton is so degraded, sooner or later he will have to play." Shen Qi counted, thirty years later. , All the academic masters of the older generation are gone, and Princeton is over.

In the past two decades, only one of the twenty Fields Medal winners was cultivated by Princeton himself. He is Tao Zhexuan. Tao Zexuan's graduate students and doctoral students are studying in the Department of Mathematics of the University.

Younger Philippine Prize winners, such as Okunkov and Linden Strauss, had no experience of studying in Princeton. After they became famous, they were dug into Princeton to teach and do research.

Therefore, under the surface of Princeton's prosperity, there are crises and hidden dangers.

Shen Qi had long discovered the crisis and hidden dangers in Wang Zitun, he didn't want to talk about it.

"Thirty years in Hedong, 30 years in Hexi, Wangzitun, you should have aroused your vigilance, and now you start to start from the doll, it is still too late..."

Before the Christmas holiday, Shen Qi completed the proof of the "Müller-Shen impending theorem".

Shen Qi showed the paper to Professor Muller: "From the above proof, I got xα*→x0*, then x0* is the focus of ∞n=1, so there is a sub-column of ∞n=1~www.mtlnovel. com~ makes each closed convex set of x* an approximate compact Chebyshev set."

After looking at it, Professor Muller said: "Sure enough, you can't get a rigorous proof of this supplementary theorem from the Hosdave topology. Odd, you used the separation method, which is very creative and powerful in logical derivation."

The "Müller-Shen impending theorem" has a certain connection with the "Müller-Shen theorem" recognized by imu, and it is also independent.

The proof of "Müller-Shen's theorem" is basically done by Shen Qi alone.

Professor Muller, who did not exert much effort, was embarrassed to put his surname on it. He suggested: "The new theorem should be named'Shen's Proximity Theorem', because I did not participate in the proof of this theorem."

Look, this is the ideological consciousness of the older generation of scientific research workers in General University.

Shen Qi strongly suggested adding Professor Mueller's surname. The two worked so happily, so you don't need to care about these small details.

Professor Muller insisted not to enter the pit, he believed that "Shen's Proximity Theorem" is the most reasonable way of naming.

Unable to be a German man, Shen Qi revised the paper and changed the "Müller-Shen's Proximity Theorem" to "Shen's Proximity Theorem".

The paper containing the "Shen's Proximity Theorem" is called, and this is a companion article to the "Müller-Shen Theorem".

Only two issues a year are published, one issue in May and one issue in November, so it is called "annual".

The next issue will wait until May next year, so Shen Qi submitted this paper. The editorial office in Germany is one of the Big Four, and one issue is issued in the first quarter.

It was the Christmas holiday of another year, and Shen Qi filled up his North American version of Malibu and did a car body cleaning and beauty.

Zhou Yuan set off before Ou Ye. He was already on a flight to New York's Kennedy Airport and was about to land.

Shen Qi started the car and went to New York to pick up the plane.