Chen Zhou looked at Wu Xiping's serious expression, and he suddenly felt that it was himself who had been knocked out, not Shen Jing.

After letting the student think for a while, Wu Xiping said, "Is there any direction?"

Chen Zhou didn't speak, but found a piece of A4 scratch paper and a pen, and wrote down a line of words with a brush.

【Properties of Pure Functions and Related Operators in Clifford Analysis】

After a pause, Chen Zhou continued:

[Clifford analysis is one of the main branches of function theory, which studies various analytical properties, functional properties, operator theory and various boundary value problems of functions defined in real (or complex) high-dimensional Euclidean spaces and valued in multiplicative non-commutative Clifford algebras......]

Wu Xiping looked at it with interest and nodded slightly: "Clifford analysis is a natural generalization of classical element complex analysis, quaternion analysis and multivariate complex analysis in high-dimensional space. ”

Chen Zhou put down his pen and continued Wu Xiping's words: "In Clifford's analysis, one of the hot research problems is to study the properties of various holopure functions under Euclidean and non-Euclidean metrics, as well as the properties of various integral operators related to holopure functions. ”

"The main research object of element complex analysis and multivariate complex analysis is the holopure function, and the corresponding function of the holopure function in the Clifford analysis is called the regular function. ”

Wu Xiping's eyes showed appreciation: "How did you come up with the idea of studying this problem?"

Chen Zhou explained: "I've been thinking about it for a long time, and I just read the book and saw this aspect. ”

Wu Xiping nodded: "At present, there are not many theoretical studies on the regular functions and related operators in the complex Clifford analysis. It is a good research direction. ”

After a pause, Wu Xiping asked again, "Do you have any specific ideas?"

Chen Zhou looked at Wu Xiping, and Wu Xiping looked at him with a smile.

After thinking about it, Chen Zhou organized the language a little: "The Cauchy integral formula plays a pivotal role in the classical element complex analysis and multivariate complex analysis. It is not only an integral expression of the holopure function, but also an important tool to study the various properties of the holopure function. ”

In addition, the Cauchy integral formula also plays an important role in Clifford's analysis, as a tool for studying the properties of regular functions, and it can provide a variety of integration operators. ”

Hearing Chen Zhou's words, Wu Xiping praised: "This idea is very good, and the good properties of various integral operators can be studied through the Cauchy integral formula. ”

"Hmm...," Wu Xiping continued, "This idea can be further expanded, for example, the good properties of integral operators play a key role in solving partial differential equations. You can use some of the functional properties of the relevant operators to establish a theoretical basis for solving complex partial differential equations. ”

"Partial differential equation ......" Chen Zhou chewed Wu Xiping's words repeatedly, and along this line of thought, the relevant knowledge in his mind kept emerging.

Chen Zhou just stood at Wu Xiping's desk, lost in thought.

Sometimes he showed a sudden look, and sometimes he frowned.

Wu Xiping smiled silently when he saw the changing expression on Chen Zhou's face.

In order not to interrupt Chen Zhou's train of thought, he tried his best to slow down his movements, slowly took out the scratch paper and pen, and wrote the equation on the scratch paper by himself.

For a moment, all that remained in Wu Xiping's office was the rustle of the tip of a pen scratching the paper.

After a long time, Chen Zhou came back to his senses from his state of concentration, and he said softly: "Teacher, thank you." ”

Wu Xiping smiled at Chen Zhou and said, "You won't say that I favor your senior, right?"

"Ahem......" Chen Zhou coughed lightly twice, "Teacher, you must have misunderstood something, how could I think so......"

After a pause, Chen Zhou continued: "Teacher, if you go deeper into this topic, it will be a bit difficult, don't you think?"

Wu Xiping glanced up at Chen Zhou and said slowly: "It's okay, I believe you can do it." Well, what do you mean by that?"

Chen Zhou: "Which sentence?"

Wu Xiping smiled and said, "I'm optimistic about you!"

Chen Zhou: "......"

When I came out of Wu Xiping's office, it was almost 4 o'clock in the afternoon.

Chen Zhou also took out the scratch paper he had just written, folded it and put it in his pocket.

Then he took out his mobile phone and took a look, and Yang Yiyi sent him several messages.

[Why did you go so long?]

[Are you still coming to the library?]

[If you don't come again, the place will be occupied.] 】

[Okay, the location is gone, you don't want to come......]

Chen Zhou replied with a smile [I came over right away and was retained by Professor Wu].

When Chen Zhou came to the library, Yang Yiyi was beside him, and the position that originally belonged to him was indeed occupied by someone.

This person Chen Zhou has also met once, and Yang Yiyi's other roommate, named You Yurou, is from the Department of Astronomy, like Li Jing.

There are only two girls in the astronomy department of the Academy of Physics, Li Jing and You Yurou.

Of course, there is only one female student in the physics department.

"It's not good to snatch the position back, right?" Chen Zhou hesitated and walked towards Yang Yiyi and the two.

When she was about to walk to the two of them, You Yurou glanced up at him, smiled, then got up and put away the books, and gave up her place to Chen Zhou.

Chen Zhou said softly, "Thank you." ”

Yang Yiyi raised her head when she heard Chen Zhou's voice.

Seeing that You Yurou gave up her place to Chen Zhou, she shook her head slightly, and then looked at You Yurou.

You Yurou smiled at her lightly: "It's better not to disturb you little two." ”

After speaking, You Yurou walked to a seat not far away with the book in her arms.

Yang Yiyi looked at Chen Zhou and said, "You squeezed my little sister away." ”

Chen Zhou replied: "Then I call her back?"

"Forget it. Yang Yiyi shook her head, "Why are you here so late?"

Chen Zhou explained: "I was retained by Professor Wu and knocked out. ”

"You were beaten by the professor?" Yang Yiyi looked at Chen Zhou in surprise.

Chen Zhou said with a smile: "No, I said something." Why are you so cute, how can the professor hit me?"

Yang Yiyi replied: "It's because you didn't make it clear." I don't care, you made me wait for so long, and you squeezed my little sister away, what do you say?"

Chen Zhou thought for a while and said, "Hmm...... Would you like to eat?"

Yang Yiyi asked, "What to eat?"

Chen Zhou: "What do you want to eat?"

Yang Yiyi: "Whatever, it's okay." ”

Chen Zhou groaned and said, "Uh...... Donburi?"

"......." Yang Yiyi glanced at Chen Zhou, "Hello, insincere......"

An impatient cough sounded, interrupting the conversation between the two, Chen Zhou and Yang Yiyi glanced at each other and quickly silenced.

Yang Yiyi snorted lightly, picked up the pen again, and began to read her book.

Chen Zhou took out the folded scratch paper, and his gaze unconsciously stopped on the "Clifford analysis".

He needs more relevant literature books to recharge his batteries.