Chapter 308 (2/2)

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.