I just want to be a quiet scholar

Chapter 315 Got it
Shen Qi wrote a countable orthonormal set {e1, e2, e3} of Hilbert space H on the blackboard, followed by a Fourier expansion ∑εnen, let it be an arbitrary vector, make it to Every n has εn≠0.

"There is a wonderful conclusion in set theory. There exists a set {Jt} with cardinality * whose elements are infinite subsets of the set of positive integers. The set of infinite rational numbers, for the Hilbert space H, we can deal with it like this..."

Shen Qi danced around with chalk, and the classroom was silent.

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

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

"I see." Everyone understood.

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

Students: "Understood!"

"OK, you are great." Shen Qi showed a gratified expression, and then wrote on the blackboard: C0, ρ(I, C)={u: I→u continuous, limρ(τ)u(τ)=0}
"Since you have fully understood the relationship between Hilbert space and Euclidean space, I will leave the only functional analysis problem I have this semester." Professors who do not have blackboards have the right to assign homework, Shen Qi Doing so.

"In the past ten years, the hypercycle research of C0-semigroups on Banach spaces has been a hot topic. Please think after class, how to deal with strongly mixed C0-semigroups on Banach spaces?"

"Before the end of this semester, I hope someone can tell me the answer. If someone answers my question, he or she will directly get an A in functional analysis. Alright, thank you for listening, get out of class is over." Shen Qi clapped the chalk on his hand Ash, let's go.

The students in a classroom stared at the blackboard in a daze. This is the end of trying to make Professor Shen hang up the blackboard.

"A strongly mixed C0-semigroup in the Banach space? It's a very difficult homework." Yu Lei showed seriousness, and every student had a heart of straight A's.

"Yu Lei, quit 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 one." Yu Lei had been in touch with Shen Qi for a long time, and realized that although Shen Qi adopted the free-range model, the pressure to be Xiao Qi's graduate student was really great.

There are no weak soldiers under a strong general, and everyone is paying attention to Yu Lei. Can he be under a lot of pressure?

"Heidi, it's also my luck to know you. I should buy you a drink." Yu Lei is very capable of adapting to the new environment. Their generation of Chinese young people grew up in the era of rapid development of the motherland and global deployment. They are more confident Optimistic, and dare to embrace the world with an open mind.

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

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

"I don't have a girlfriend, so have fun." Zhou Yu'an patted Yu Lei on the shoulder and left.Yu Lei, a guy who just came to Princeton, was able to find beautiful girls within a few months. His appearance is justice. This trend is happening all over the world, and it is getting worse.

Then Yu Lei and his pretty girl went to have fun, and Zhou Yu'an devoted himself to preparing his master's thesis.

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

The American Mathematical Society invited Shen Qi to participate in the awarding ceremony of the Steele Award, which was established in 1970 with donations from Steele to reward mathematicians with influential work in mathematics.

The evaluation basis is a book of great value, or a review, a paper with fundamental or long-term impact.

Winners may be non-American mathematicians, but must be a member of the American Mathematical Society.

When Shen Qi received the Ford Award a few years ago, he paid a US$2 election fee to the American Mathematical Society and became a foreign member of the American Mathematical Society.

Judging from any angle, Shen Qi fully meets the criteria for the Steele Award.

The reason why the American Mathematical Society awarded the Steele Prize to Shen Qi is: "From "The Proof of the Walsh Conjecture" to "Mill-Sink Theorem in Banach Space", "Shen's Proximity in Banach Space Theorem", and then to "Proof of the Riemann Hypothesis Based on 'Twin Matching Method'", Professor Shen Qi has won the Steele Award for any one of the papers in the four major journals in recent years."

"So far, Professor Shen Qi's most valuable academic achievement is of course "History of Number Theory". In this epic mathematics monograph, "Theoretical System of Prime Number Distribution of Riemann Zeta Function" is published in a complete version for the first time. Its influence The power will last into the next millennium. There is no doubt that this year's Steele Award is only for Professor Shen Qi."

After all, he still has to spend some time in the United States. Shen Qi got along with the American Mathematical Society in a harmonious way, and he received the Steele Award.

After the Fields Medal, Shen Qi received other mathematics awards like a harvest. The Steele Award is his eighth mathematics award.

System: "New achievement! The host won the International Mathematics Award and the Steele Award for A-level mathematics. The basic reward is 85 Xueba points, multiplied by the mathematics master's talent coefficient 2.0, and the final reward is 170 million Xueba points."

Host, Shen Qi

age, 23

Math Level 13, 472/2000

Physics Level 10, 101/120

Sports Level 5, 3129/5

English Level 5, 2501/5

Chinese Level 5, 2598/5

Political Level 5, 9460/5

Chemistry Level 3, 599/5000
Biology Level 3, 586/5000
History Level 2, 1231/3000
Geography Level 2, 828/3000
The balance of Xueba points: 31028693 points

Condition 14 progress for promotion to Mathematics Level 472: 2000/[-] million (remaining Xueba points can meet condition [-])

Condition 3 Progress: 5/[-] (Won the S-level award Fields Medal, won the A-level award Ramanujan Award, Steele Award)
Condition 0 progress: 1/[-]
In the daily mathematics research, Shen Qi can accumulate a small amount of daily experience points.

When the progress of condition 100 and condition 2000 has reached [-]%, it is the most reasonable process to reduce condition [-] to [-] million, which can avoid the overflow of dozens to hundreds of daily experience points.

Diligence and frugality are the virtues of a mathematician. At Shen Qi's level of mathematics, it takes a lot of time to accumulate dozens to hundreds of points of mathematical experience every day.

At the Steele Prize presentation ceremony, Shen Qi thanked the American Mathematical Society and mathematics colleagues across the United States for their support and love.

Among the eight mathematics awards Shen Qi has won, four are awarded by American mathematical institutions (Steele Award, Science Breakthrough Award, Cray Research Award, Ford Award).

The International Mathematics Institute issued two awards, the Fields Medal and the Ramanujin Medal.

The Chinese Mathematics Institute issued two prizes, the Chen Shiingshen Mathematics Prize and the Zhong Jiaqing Mathematics Prize.

Shen Qi must complete the three conditions for being promoted to the 14th level of mathematics with both quality and quantity, and earn two mathematics A-level awards to round up the number of trophies and medals. The second condition is settled.

(End of this chapter)