"Yu Lei, overall, your academic performance has been quite qualified during this period."

Shen Qi agrees with Yu Lei's recent efforts. In this project in cooperation with Victoria University, Yu Lei exhausted all his wisdom and mathematical talent.

In fact, Shen Qi did not give Yu Lei too much detailed guidance on this topic of functional theory. He just put a framework to point out the direction.

Yu Lei still has a math foundation. After all, he was a member of the national team of the Mathematical Olympiad in China, one of the top 6 in China, and was baptized in the Department of Mathematics of Shuimu University.

Yu Lei owed some romantic debts during the week of his business trip in Canada. The reason why the local local snake Guy family did not break Yu Lei's leg was to give Shen Qi face, the second was to offend Princeton, and the third was that Yu Lei did make some contributions to the project.

At this time, Shen Qi needed to give Yu Lei more detailed guidance to help Yu Lei become a talent as soon as possible. He pointed out a loophole in the information: "Yu Lei, here you cannot easily assert that there is no sub-list in the point z=0, and you lack seamless and rigorous arguments. I am not completely denying your current arguments, but I just hope you can do better."

"Listen attentively." Yu Lei immediately became serious and entered a state of concentration in academic combat.

Shen Qi casually drew a piece of white paper and said while writing: "If there is a subcolumn of f1, so that {fn} is regular at point 0, there must be a positive number m1, so that ifn(z)i≥m1 is for all z∈△δ... I briefly deduced that g here is an extraordinary subpure function."

Shen Qi turned the white paper 180 degrees, allowing Yu Lei to see the formula on the paper.

Yu Lei's eyes shone, and he discovered an existence that was more exciting than a beautiful girl: "You simply deduced gn(ζ)=fn(zn+pnζ)/pn, and skipped Montel's theorem and wandered outside Yujulia's direction, but it was even more charming."

French mathematician Julia proposed the Julia direction based on the theory of his compatriot Montel. For transcending the whole function or transcending the subpure function, Julia direction is a semi-ray j={zargz=θ0} with the following properties starting from the origin in complex plane c, which is an important theoretical basis in function theory.

Shen Qi drew it a few times on the draft paper and proposed a new idea. If he did not rely on the Julia direction, could he also get a regular family of pure functions?

"This is the direction of Shen Qi that I can easily pick up..." Yu Lei followed Shen Qi for nearly a year and finally learned some real skills from Shen Qi: "Shen's school is indeed profound and profound. Brother Xiao Qi will throw out some real things at will, which is very awesome!"

"Well, you're in the state, it's great, I hope to keep it." Shen Qi was satisfied with Yu Lei's reaction, and he asked: "Who is more charming about mathematics or girl?"

"Do you still need to ask?" Yu Lei answered for granted without thinking: "Of course the girl is more charming!"

Shen Qi: "So I'm talking in vain?"

Yu Lei: "Mathematics cannot be described as charming. It is a drug or a poison! In front of a girl, I can still stay awake. In front of a mathematics, it is difficult for me to quit drug addiction."

"You moved me so much." Shen Qi smiled. He told Yu Lei about his understanding of functional theory and his views on the subsequent research direction of this topic.

Under Shen Qi's guidance, Yu Lei benefited a lot and became more confident in his academic performance.

On another front, Shen Qi's other student, Ralph, fought steadily.

Ralph has a calm personality. He has never caused trouble for Shen Qi. He does not drink, smoke, perm his hair, or picks up girls. It is not common for young American men who are so honest and honest.

Shen Qi often warns Yu Lei to learn more if you try to pick up girls.

Shen Qi's attitude towards Ralph, who doesn't like girls and only read books: "Ralph, you need a girl, you can try to date a girlfriend."

It varies from person to person. It is not necessarily a good thing to not maintain normal interactions with the opposite sex for a long time.

Ralph said: "In fact, I had a brief date with a girlfriend, and we broke up in less than a week."

Shen Qi asked: "Why?"

"Because of religious belief, I refuse premarital behavior." Ralph, a religious and patriotic young man, quickly shifted the topic to Li Chao algebra, which was his project task: "Professor Chen, about the irreducible results of the superb Frobenius nuclear expression, the Yale members in the team have their opinions, we have some differences, and the project progress has been temporarily suspended."

"Details, I need more details." It is Shen Qi's responsibility to solve the problem when the student encounters a problem.

Ralph handed Shen Qi two copies of information, one representing his ideas, and the other from Yale. The project "Linear Li Super Algebra and His Excellence" was jointly promoted by Princeton and Yale.

Shen Qi frowned slightly, and said, "Ralph, this question is a bit tricky. You have a cup of coffee first and give me some time to analyze it."

"Okay." Ralph couldn't help feeling a little nervous when he saw Shen Qi showing this expression for the first time.

It seems that he is also a human being, not an omnipotent God... Ralph sat on the sofa and drank coffee. He looked at the portraits of four great mathematicians, Gauss, Euler, Newton and Archimedes, hanging on the wall. He said in his heart that they are not God either, they are people close to God.

Shen Qi walked to the blackboard, thought for a while, and then began to deduce with the chalk.

The classical theory of reducing Li algebra points out that each projection of irreducible modes is covered with z-filtering.

The masters of algebra after Li were Burauer, Humphreys, Holmes and Shigeo Nakano, who successively improved Li's algebra and lie theory.

Williamson, an Australian mathematician who won the Philippine Award with Shen Qi last year, made new contributions in this field.

The most famous and authoritative algebra master in contemporary China is Academician Xi Ruihua, who has become the world's top in the sub-fields of algebra groups and quantum groups.

The "Linear Li Super Algebra and His Excellence" project jointly promoted by Princeton and Yale is of course not a general work of numbers, and it has extremely high academic value.

Through the information submitted by Ralph, Shen Qi found that Ralph was so angry that he was beaten by Yale. Regarding the extraordinary Frobenius nuclear irrelevant results, Ralph fell into a dead end.

Ralph was entangled in the Burauer-type mutually opposite laws, but he did not have Humphreys' rigorous and perverted logical deduction ability, Holmes and Shigetsu Nakano's imagination and creativity, and the perception of insight into everything.

Li Chao's algebra project has advanced to this stage and has exceeded the scope of academic argumentation set by Shen Qi before. Ralph cannot handle it. He must take his master Shen Qi personally to point out a new direction for Ralph.
Chapter completed!