"Why? Shen Qi, please state your specific point of view." Teacher Ma questioned.

Shen Qi replied loudly: "In this question, no matter how the quadratic model of the objective function is approximated by local linearization at point xk, I can regard it as the augmented quadratic function form of the potential function!"

Teacher Ma was noncommittal, and asked again: "Please explain the definition of the potential function Φ(x)."

Teacher Ma no longer entangled in the logic of the algorithm, Shen Qi was convinced that this pit was skipped.

So momentum is very important. Shen Qi became more courageous as he fought: "Φ(x) is continuously differentiable on X. I have a proof in my paper, so I won't go into details. The conclusion of this proof is on page 6. A(x) and B (x) satisfies the diagonal matrix of formula 7, then each stable point of Φ satisfies H(x)=0.”

Teacher Ma asked repeatedly: "Is this contradictory to the fact that ▽G(x)▽F(x) is a P0-matrix defined in linear algebra?"

"No, it's not contradictory." Shen Qi replied immediately, resolutely: "When Gi(x)= Fi(x)=0, there are no specific values ​​ε1 and ξ1 for Aii(x) and Bii(x). In practice, computing this matrix does not cause any problems."

After a few seconds of silence, Mr. Ma stopped asking questions. He said to Director Long, "Director Long, I have finished asking my supplementary questions."

"Okay." Director Long nodded and asked Mr. Xiong, "What about you, Mr. Xiong, do you have any additional questions?"

"I only have one question." Teacher Xiong looked at Shen Qi and said, "Shen Qi, I got your paper twenty days ago. Generally speaking, it is well written, and it is in line with the requirements of a mathematics undergraduate. The academic standards of graduates. Of course, this is just my personal opinion, and the final decision needs to be given by the principal responding teacher and approved by the school.”

"My question is, Shen Qi, what is the value prospect of the paper you wrote? Yes, that's right, you wrote it in the paper, and you also dictated it yourself. Based on the classic generalized complementarity problem, you proposed a A new algorithm. Then, where is the value of the new algorithm reflected?" Mr. Xiong spoke slowly.

"This..." Shen Qi's morale, which had just risen up, immediately fell by three points.

Mr. Xiong asked such a wonderful question.

Yeah, what is the real value of my math paper? Or what practical use.

In fact, this question has troubled Shen Qi for a long time.

For papers that are partial to applied disciplines, it will be stated in the paper what practical problems this research topic has solved, what practical benefits it has brought, and what kind of scientific and technological benefits have been created for the country and the people.

Whether it is curing diseases and saving lives, or inventing a new type of material, or improving the production efficiency of a certain process, and so on, it can be seen and felt, with remarkable results and practical uses.

As for mathematical papers, especially those that are partial to basic theory, what is their value in the real society, and how to promote their practical use?

Shen Qi also couldn't make it clear.

He has a kind of awareness that pure theoretical mathematics research to the extreme will inevitably have infinite power, far-reaching influence, and even change the process of human civilization.

However, Shen Qi has been thinking about the value and significance of purely theoretical basic mathematics in the folk before the research has reached its peak.

"Mathematics is like this, exquisite but not very practical." Shen Qi didn't know how to answer Mr. Xiong's value question specifically, so he could only tell the truth.

"However, we are still addicted to it and cannot extricate ourselves." Shen Qi added, resigned but full of faith.

"Mathematics is like that, delicate but not very practical."

Director Long, Teacher Ma, and Teacher Xiong repeated Shen Qi's words, and they said in unison: "Incisive."

The three teachers have been engaged in mathematics research all their lives, and they are all experts in the industry. At this stage of their research, they are becoming more and more lonely, and there are fewer and fewer fellows who can hold long talks.

Mathematics is like this, the higher the level, the more refined it is, and the more refined it is, the harder it is to understand and appreciate.

"But we are still addicted to it and can't extricate ourselves." Director Long said with great emotion, "This is the end of the question and answer session, and the following is a summary."

After asking real questions, the summary link is a procedural cutscene.

Finally, Shen Qi bowed his thanks and left the defense meeting.

The next step is to wait.

For Shen Qi's dissertation defense meeting, the defense team will issue a grading opinion. If the defense team does not give Shen Qi a pass, then there is no need to report it to the higher authorities.

If the defense team recommends Shen Qi to obtain an undergraduate degree from the Department of Mathematics, the recommendation form will be submitted to the higher-level department, and after review and approval by the higher-level department, a certificate of undergraduate degree in mathematics from Yanda University will be issued.

Of course Shen Qi wanted to do it right away, but he couldn't intervene in the subsequent review process.

So Shen Qi ran to Sun Erxiong every day: "Professor Sun, which department did my thesis defense review form go to?"

"How do I know? I didn't enter the defense team."

"Professor Sun, please help me find out."

"It hasn't been released from several courts yet, and it is being reviewed in the court."

"Oh, thank you."

Shen Qi was preoccupied with things, he couldn't eat well, he couldn't sleep, and he couldn't even run. Waiting is a torment.

Half of the freshman semester has passed, and the courses in the Department of Mathematics have increased compared with the freshman.

Gaodai and Shufen are still going on, Xieji has withdrawn from the stage, and probability theory is on the stage.

College English takes several semesters, as well as some public courses.

University physics also came into play, and students in the mathematics department had to take this course.

Shen Qi didn't know if he could pass the thesis defense this time. If he couldn't pass, he had to continue to attend classes, take the final exam, and follow the usual routine.

CET-4 is also worth noting. Undergraduate graduates will get two certificates, one degree certificate and one graduation certificate.

The usual way to obtain a degree certificate is to complete all the credits in four years of university. The fast track is Shen Qi, who participates in the dissertation defense in advance. Received a diploma and passed CET-4.

In the blink of an eye, it was late April, after a substitute class was over, Sun Erxiong said to Shen Qi: "Now go to the photo studio to take a registration photo, blue background, two inches smaller."

Upon hearing this sentence, Shen Qi jumped up excitedly: "After waiting for a long time, I finally waited for today!"

"Registration photos, I have them." Shen Qi took out a small plastic bag from his pocket and handed it to Sun Erxiong: "Here are my two-inch registration photos with a blue background. Six of them should be enough for a degree certificate."

"You carry your registration photo with you, kid." Sun Erxiong said after taking Shen Qi's registration photo.

"Professor Sun, when will my certificate be issued?" Shen Qi asked expectantly, one step closer to the small goal.

"Before May 1 sooner, or within May if slower, anyway, I will give it to you before the end of this semester, wait, what's the hurry?" Sun Erxiong turned and left, walked a few steps back and said: "Shen Qi, your undergraduate The degree certificate should be stable, and it is only a matter of time before it is issued to you. Next, you need to plan for the follow-up development. In the field of mathematics, you must have a main direction, and you have to choose a direction when you study for graduate school or Ph.D."

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