"Why? Shen Qi, please state your specific opinion. Teacher Ma asked.

Shen Qi replied loudly: "In this problem, no matter how the quadratic model of the objective function is locally linearized at the xk point, I can regard it as an augmented quadratic form of the potential function!"

Mr. Ma was noncommittal, and asked, "Can you explain the definition of the potential function Φ(x)?" ”

Teacher Ma no longer corrected the logical problems of the settlement method, and Shen Qi was relieved that this pit had been skipped.

Therefore, momentum is very important, and Shen Qi becomes more and more courageous: "Φ(x) is continuously differentiable on X, I have a proof in the paper, so I will not repeat it, the conclusion of this proof is on page 6, A(x) and B(x) satisfy the diagonal matrix of Eq. 7, then each stable point of Φ satisfies H(x)=0." ”

Mr. Ma asked three times: "Does this contradict the P0- matrix defined in the linear algebra ▽G(x)▽F(x)?"

"No, it's not a contradiction. Shen Qi immediately replied, resolutely: "When Gi(x) = Fi(x) = 0, there is no specific value ε1 and ξ1 for Aii(x) and Bii(x), and in practice, calculating this matrix will not cause any problems. ”

After being silent for a few seconds, Mr. Ma stopped asking questions, and said to Director Long, "Director Long, my supplementary questions have been asked." ”

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

"I have only one question. Teacher Xiong looked at Shen Qi and said, "Shen Qi, I got your paper twenty days ago, and it is generally written well, which meets the academic standards of an undergraduate graduate of the Department of Mathematics." Of course, this is only my personal opinion, and the final decision needs to be given by the main defense teacher and approved by the school. ”

"My question is, Shen Qi, what is the value outlook of this paper you wrote? Yes, that's right, you wrote it in your paper, and you dictated it yourself, based on the classic generalized complementarity problem, you proposed a new algorithm. So, where is the value of the new algorithm?" Mr. Xiong said slowly.

"This ......" Shen Qi's morale that had just risen immediately shortened by three points.

Mr. Xiong asked this question wonderfully.

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

In fact, this problem has plagued Shen Qi for a long time.

In the dissertation of applied disciplines, it will be written what practical problems the research topic solves, what practical benefits it has brought, and what scientific and technological benefits it has created for the country and the people.

Whether it is to cure diseases and save people, or to invent a new type of material, or to improve the production efficiency of a certain process, and so on, you can see and touch, the results are remarkable, and the use is real.

And what is the value of mathematical papers, especially those that are more basic theories, in the real society, and how can they be promoted in practice?

Shen Qi couldn't say it clearly.

He has a kind of consciousness that the study of pure theoretical mathematics to the extreme will inevitably be infinitely powerful, far-reaching, and even change the course of human civilization.

However, before he reached the pinnacle, Shen Qi had been thinking about what value and significance the basic mathematics of pure theory had in the people.

"Math is like that, it's delicate 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.

"Yet, we're still obsessed with it. Shen Qi added, helpless but full of faith.

"Math is like that, it's delicate but not very practical. ”

Director Long, Teacher Ma, and Teacher Xiong repeated Shen Qi's words, and the three of them said in unison: "Incisive." ”

The three teachers have been engaged in mathematics research all their lives, and they are all experts in the industry, and at this stage of their research, they are becoming more and more lonely, and there are fewer and fewer colleagues who can talk at length.

Mathematics is like that, the more high-end it is, the more refined it is, and the more refined it is, the harder it is to be understood and appreciated.

"But we're still obsessed with it. Director Long said with great feelings, "This is the end of the question and answer session, and the following is a summary." ”

After the real questions are asked, the summary link is a programmed formality.

Finally, Shen Qi bowed and thanked him and left the defense meeting.

The next thing is to wait.

For Shen Qi's dissertation defense meeting, the defense team will issue a scoring opinion, and if the defense team does not approve Shen Qi, then there is no need to report to it.

If the defense team recommends Shen Qi to obtain an undergraduate degree in the Department of Mathematics, the recommendation form will be submitted to the higher-level department, and the above department will issue a bachelor's degree certificate in mathematics after review and approval.

Of course, Shen Qi wanted to do it in one step, but he couldn't intervene in the later review process.

So Shen Qi ran to Sun Erxiong every day: "Professor Sun, which department has my dissertation defense evaluation form been sent to?"

"How do I know? I didn't make it to the defense team. ”

"Professor Sun, can you help me inquire. ”

"I haven't been out of the hospital yet, and I'm reviewing it in the hospital. ”

"Oh, thanks. ”

Shen Qi pretended to have something in his heart, he couldn't sleep if he couldn't eat well, and he couldn't run anymore. Waiting is an ordeal.

Halfway through the semester of my freshman year, the number of courses in the Department of Mathematics has increased unabated compared to my freshman year.

The high generation and the number of points are still continuing, the solution is a few out of the stage, and probability theory is on the scene.

College English has to be taken for several semesters, as well as some public classes.

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

Shen Qi didn't know if he could successfully pass the dissertation defense this time, if he couldn't pass it, then he would have to continue to take classes, take the final exam, and follow the usual routine.

CET-4 also has to be meaningful, undergraduate graduates will get two certificates, one degree certificate and one graduation certificate.

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

In the blink of an eye, in late April, after a high school substitute class, Sun Erxiong said to Shen Qi: "You go to the photo studio to take registration photos now, with a blue background, two inches smaller." ”

As soon as he heard this, Shen Qi jumped up excitedly: "I've been waiting for a long time and finally waiting for today!"

"Registration photo, yes. Shen Qi took out a small plastic bag from his pocket and handed it to Sun Erxiong: "This is my two-inch registration photo with a blue background, 6 of them, and the school degree certificate should be enough." ”

"You kid has a registration photo with you. Sun Erxiong took Shen Qi's registration photo and said.

"Professor Sun, when will I get this certificate out?" Shen Qi asked expectantly, one step closer to the small goal.

"If it's fast, it's before May Day, and if it's slow, it's within May, anyway, it's definitely for you before the end of this semester, wait, what's the hurry?" Sun Erxiong turned around and left, took a few steps and turned back and said: "Shen Qi, your undergraduate degree certificate should be stable, it's only a matter of time before it gets to you, and then you have to plan your follow-up development, you always have to have a main direction in the field of mathematics, and you have to choose a direction for studying for a doctorate." ”