Chapter 316: Understood

Shen Qi writes on the blackboard a countable standard orthogonal set {e1,e2,e3} of Hilbert space H, followed by a Fourier expansion ∑εnen, making it an arbitrary vector, so that it has εn≠0 for all n.

"There is a wonderful conclusion in set theory that there is a set {Jt} with cardinal swastika as an element of an infinite subset of positive integer sets, so that for each real number t, let Jt represent the set of infinite rational numbers with t as its unique cluster, and we can deal with it in this way for Hilbert space H......"

Shen Qi held a chalk dragon and a phoenix danced, and the classroom was silent.

"Remember that the linear dimension of the Hilbert space H is greater than or equal to the orthogonal dimension, the infinite Hilbert space H has an orthogonal subset isomorphic to the set of integers, and the infinite Hilbert space H is the infinite dimensional space closest to the n-dimensional Euclidean space Rn. So Heidi, are you satisfied with my answer? Ladies and gentlemen, what about you?" Shen Qi answered Heidi's question in a language and form that everyone could understand.

"Professor Shen, I'm very satisfied, I have no problem. Heidi understood.

"I see. "Everybody gets it.

"Do you really understand?" asked Shen Qi quietly.

Students: "Got it!"

"OK, you guys are great. Shen Qi showed a pleased expression, and then wrote on the blackboard: C0,ρ(I,C)={u:I→ucontinuous,limρ(τ)u(τ)=0}

"Now that you fully understand the relationship between Hilbert space and Euclidean space, I am left with my only functional analysis problem this semester. "Professors who don't have blackboards have the right to assign homework, and Shen Qi is doing just that.

"In the past ten years, the hypercycle study of C0-semi-groups in the Banach space has been a hot direction, please think about how to deal with the strongly mixed C0-semi-groups in the Banach space after class."

"By the end of the semester, I hope someone can tell me the answer, and if someone answers my question, his or her functional analysis will get a straight A. Okay, thanks for listening, class is over. Shen Qi patted the chalk ash on his hand and left.

The students in a classroom stared at the blackboard in a daze, which was the end of trying to get Professor Shen to hang the blackboard.

"A strongly mixed C0-semi-group in the Banach space? Yu Leixian's solemnity, every student has a heart of all A's.

"Yu Lei, you can leave the group. Zhou Yu'an learned a lot of skills from Shen Qi, and this lesson was not in vain.

Heidi returned the pen to Yu Lei: "Yu, Professor Shen chose you as his graduate student, you are really very lucky. ”

"Of course, I'm the luckiest of all. Yu Lei has been in contact with Shen Qi for a long time, and realized that although Shen Qi adopts the free-range mode, the pressure of being a graduate student of Brother Xiaoqi is really great.

There are no weak soldiers under the strong general, everyone is paying attention to Yu Lei, can he not have much pressure.

"Heidi, it's also my luck to know you, I should treat you to a drink. "Yu Lei has a strong ability to adapt to the new environment, and their generation of young Chinese people grew up in the era of rapid development of the motherland and global layout, they are more confident and optimistic, and they dare to embrace the world with an open mind.

"Why not?" Heidi gladly accepted Yu Lei's invitation.

"Brother Xiaoyu, are you together? You can bring your girlfriend. Yu Lei asked Zhou Yu'an warmly.

"I don't have a girlfriend and have fun. Zhou Yu'an patted Yu Lei's shoulder and left. Yu Lei, this guy was able to soak in a beautiful girl within a few months of coming to Princeton, appearance is justice, this trend is the whole world, and it is getting worse.

Then Yu Lei and his beautiful sister Hipi went, and Zhou Yu'an buried himself in preparing his master's thesis.

Shen Qi wants to calm down and finish his research on condensed matter physics, but there are still some miscellaneous things to deal with recently.

The American Mathematical Society invited Shen Qi to attend the ceremony of the STIHL Prize, which was established in 1970 with a donation from STEELE to reward influential mathematicians in mathematics.

The evaluation is based on a book of significant value, or a review, or a paper with fundamental or long-term impact.

The winner may be a non-U.S. mathematician, but must be a member of the American Mathematical Society.

When Shen Qi received the Ford Prize a few years ago, he paid $20,000 to the American Mathematical Society and became a foreign member of the American Mathematical Society.

From any point of view, Shen Qi fully meets the criteria for the STIHL Prize.

The reason why the American Mathematical Society awarded the Stihl Prize to Shen Qi is: "From the proof of the Walsh conjecture to the Müller-Shen theorem in the Banach space, the Shen proximity theorem in the Banach space, and then to the proof of the Riemann conjecture based on the 'twin matching method', Professor Shen Qi has won the Stihl Prize for any paper in the four major journals in recent years." ”

"Professor Shen Qi's most valuable academic achievement so far is of course The History of Number Theory, in which the Riemann Zeta Function Prime Distribution Theory System was published for the first time in its complete form, and its influence will continue into the next millennium. There is no doubt that this year's STIHL Award belongs to Professor Shen Qi. ”

After all, he still has to mix in the United States for a while, Shen Qi got along with the American Mathematical Society in a harmonious way, and he received the Steele Prize.

After the Fields Medal, Shen Qi received other mathematics awards, and the Stihl Medal was his eighth mathematics award.

System: "New Achievement!The host won the International Mathematics Award and the Steele Prize, an A-level mathematics award, with a basic reward of 850,000 Xueba points, multiplied by a mathematics master talent coefficient of 2.0, and a final reward of 1.7 million Xueba points. ”

Host, Shen Qi

Age, 23 years old

Mathematics level 13, 472/20 million

Physics level 10, 101/1.2 million

Sports level 5, 3129/50,000

CET-5, 2,501/50,000

Language level 5, 2,598/50,000

Politics level 5, 9460/50,000

Chemistry Level 3, 599/5000

Mob level 3, 586/5000

History Level 2, 1231/3000

Geography Level 2, 828/3000

Balance of Scholar Points: 31028693 points

Progression to Mathematics Level 14 Condition 1: 472/20 million (the remaining Xueba points can meet Condition 1)

Condition 2 Progress: 3/5 (Won the S-level award Fields Medal, won the A-level award Ramanujan Award, Steele Award)

Condition 3 progress: 0/1

In his daily math studies, Shen Qi can accumulate a small amount of daily experience points.

When the progress of condition 2 and condition 3 reaches 100%, it is most reasonable to smash condition 1 to 20 million, which can avoid the overflow of dozens to hundreds of daily experience points.

Diligence and thrift are the virtues of mathematicians, and when it comes to Shen Qi's level of mathematics, it takes a lot of time to accumulate dozens to hundreds of mathematical experience points on a daily basis.

At the STIHL Prize ceremony, Shen Qi thanked the American Mathematical Society and the American Mathematical Society for their support and love.

Of the eight mathematics awards won by Shen Qi, four were awarded by the American Mathematical Institute (Steele Prize, Breakthrough Prize, Clay Research Prize, Ford Prize).

The International Mathematical Institute awarded two awards, the Fields Medal and the Ramanujan Medal.

The Chinese Mathematics Institute awarded two awards, the Chern Mathematics Award and the Zhong Jiaqing Mathematics Award.

Shen Qi must complete the three conditions for promotion to mathematics level 14 with quality and quantity, and then brush two mathematics A-level awards, so that the number of his trophies and medals will be rounded, and condition two will be completed.