Chapter 308

Chapter 311

in Professor Fang's apartment, when Cheng Nuo opened the door, Su Xuanqi and two other senior students, Zhang Chumen and Gu Shi, were sitting on the sofa in the living room, chatting and laughing.

As for Professor Fang, Cheng did not find him in the living room.

Seeing Cheng Nuo come in, Su Xuanqi gets up, walks to Cheng Nuo, and says with a smile, "have you brought the research report?"

Cheng Nuo nods.

Su Xuanqi glanced at the direction of the study. "The teacher is in the study. Just go in and give the research report to the teacher."

Cheng Nuo turns out the research report with more than ten pages of A4 paper from his schoolbag, walks to the door of the study and knocks on the door.

"Come in, please." Professor Fang's voice came.

"Professor, this is the report you asked me to write about the research direction of the project." The professor was reading the paper carefully, and his desk was covered with glasses.

Cheng Nuo takes a subconscious glance and finds Gu Shi's name on it.

"Oh, classmate Cheng Nuo, just put your report on the table. I'll see yours after reading some of them." Professor Fang looks up at Cheng Nuo and smiles, indicating that Cheng only needs to put the Research Report on the table.

"Well Professor, I'm going out first? " Now that the report has been delivered, Cheng Nuo is embarrassed to continue to disturb Professor Fang in his study.

Professor Fang nodded with a smile By the way, Mr. Cheng Nuo, don't rush. Wait for me outside for half an hour. After I read the reports of the four of you, I'll make sure the position of the Deputy group leader. "

"Oh, yes."

Cheng Nuo quietly closed the door, quit the study, and the other three stayed in the living room waiting for the final result.

Half an hour later, Professor Fang opened the door and walked out of the study. In my hand, I have four documents.

That's the research report submitted by each of the four.

Professor Fang leaned against Cheng Nuo and sat in the middle of several people.

Su Xuanqi poured a cup of tea for Professor Fang, who took a sip.

He raised the four reports in his hand and said with a smile, "I have read all the four research reports."

"On the whole, it's not very good." Professor Fang looked at Su Xuanqi, Zhang Chumen and Gu Shi. "The reports of the three of you did not disappoint me, but they did not surprise me either."

Professor Fang extracted one of the four reports, "Gu Shi, this is your research report."

"You said in this, we can use fractional integral operator as the research direction, and deduce the monotonicity method of hyperbolic nonlinear differential equation of generalized p-Laplacian operator through the nonmonotonicity theorem of Lipschitz function?" Professor Fang turned the report to the first page and spoke slowly.

"Teacher, this method should Should it be feasible? " Gu Shi, who was full of confidence in the report, was not very sure when Professor Fang said so.

All roads lead to Rome. There is no single research topic, only one research direction.

This is especially true in the field of pure mathematics.

At the last meeting, Professor Fang had implicitly pointed out the feasibility of Cheng Nuo's research on directionality: that is, taking Banach space as the breakthrough point, we can further deduce p-Laplacian operators by constructing subsets existing in Banach spaces and non Banach spaces.

If the requirements are stable, Gu Shi can directly follow the ideas proposed by Cheng Nuo and write a perfect paper.

But the pride of his heart made him refuse this kind of practice which was close to plagiarism.

After going back, Gu Shi spent two whole days, 48 hours sleepless all night. After reading a lot of materials, he came up with the solution of putting the cut-in point in the sub integral operator.

However, the reality is doomed to give Gu Shi a basin of cold water.

Facing Gu Shi's question, Professor Fang just shook his head. "Although your report is very serious and the steps are detailed, what I want to tell you is that your plan is not feasible."

Gu Shi Ru was struck by lightning and his lips trembled.

At this time, Cheng Nuo also quietly picked up Gu Shi's Research Report on the tea table, and turned over the pages.

Gu Shi was silent for a long time, then slowly spit out a turbid breath. His eyes returned to his usual calm. He looked at Professor Fang with sincere tone, "teacher, can I know where I was wrong?"

Just at this time, Cheng closed the last page of the report. Before waiting for Professor Fang to speak, Cheng Nuo said with a smile,

"from fractional integral, and using some properties of Lipschitz function, we can indeed form an operator called generalized Toeplitz type operator, and p-Laplacian operator and its properties are similar to similar triangles

Cheng Nuo looked at Gu Shi calmly, "but, Xuechang, what you neglected, all properties of Toeplitz type operators only exist when the operators are in homogeneous space."Gu Shi explained, "what I clearly said in the research report is that we should discuss it in homogeneous space."

Cheng Nuo shrugged with a smile, "that schoolmaster, you should remember what is the definition of homogeneous space?"

A space of homogeneous type (x, D, μ) is defined as a symmetric quasi metric D and a nonnegative, regular Borel measure on set X There is μ (b (x, 2R)) (b (x, R)) ∞, where B (x, R) = {y ∈ X: D (x, y)}. " Gu Shi said it skillfully.

Cheng Nuo said, "this is the space of homogeneous type, which refers to a space with symmetric quasi metric. However, for the p-Laplacian operator, there is no condition to limit its space to be a symmetric quasi metric space

That's all.

Cheng Nuo has explained the reason very clearly, with the intelligence quotient of Gu Shi can't understand.

Sure enough, after Cheng Nuo finished saying this, the look on Gu Shi's face changed for a while, and he looked at Cheng Nuo with a bitter smile, "I've been taught."

Then, he looked at Professor Fang apologetically, "teacher, this time I really did not think well and made a mistake that I should not have made."

Professor Fang waved his hand. "Don't say that. Although the research direction mentioned in your report is not possible to implement, there are still many things that can be used for reference, which are expected to be used in later research."

Then, Professor Fang commented on the project report of Zhang Chumen and Su Xuanqi. Like Gu Shi, neither of them has the possibility of implementation.

Finally, Professor Fang gave Cheng Nuo a satisfied look.

"Cheng Nuo's paper is a report of the whole research process based on Banach space as the breakthrough point. It is the best of the four in terms of feasibility and simplicity."

"So, I decided to let Cheng Nuo be the deputy leader of the research group. Do you have any comments?" Professor Fang asked.

"No This time, the three answered very simply.

Even Gu Shi, who is most unconvinced to Cheng Nuo, has no objection at all.

Although it would be a shame to let a student who is only one year older, four or five years younger than them, act as his immediate superior.

But in academic circles, all positions are filled by capable people.

Strength is not as good as others, they lose heart.

www.novelhold.com , the fastest update of the webnovel!