Xueba starts with change

Chapter 130 Clifford Analysis
Chen Zhou looked at Wu Xiping's serious expression, and he suddenly felt as if he was the one being knocked, 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 draft paper and a fountain pen, and scribbled down a line.

[Properties of holomorphic functions and related operators in Clifford analysis]

After a pause, Chen Zhou continued to write:

[Clifford analysis is one of the main branches of function theory. It studies various analytical properties of functions defined in real (or complex) high-dimensional Euclidean spaces and whose value is incommutative Clifford algebras of multiplication, Functional properties, operator theory and various boundary value problems.]

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

Chen Zhou put down his pen, and then Wu Xiping said: "In Clifford analysis, one of the hot research issues is to study the properties of various holomorphic functions under Euclidean and non-Euclidean metrics, and the properties related to holomorphic functions. The properties of various integral operators of .

"The main research objects of unit complex analysis and multivariate complex analysis are holomorphic functions, and the corresponding functions of holomorphic functions in Clifford analysis are called regular functions."

Wu Xiping's eyes showed admiration: "How did you think of studying this issue?"

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

Wu Xiping nodded: "At present, there are not many theoretical studies on the regular function and its related operators in 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, who was looking at him with a smile.

After thinking for a while, Chen Zhou organized the language a little bit: "The Cauchy integral formula plays a pivotal role in the classic unit complex analysis and multivariate complex analysis. It is not only the integral expression of the holomorphic function, but also the method for studying holomorphic functions. important tool for various properties of functions."

"In addition, the Cauchy integral formula also plays a very important role in Clifford analysis. It is a tool for studying the properties of regular functions, and it can provide various integral operators."

Hearing Chen Zhou's words, Wu Xiping praised: "This idea is very good. Use the Cauchy integral formula to study the good properties of various integral operators."

"Well..." Wu Xiping continued after pondering for a while, "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 learn from the Some functional properties establish a theoretical basis for solving complex partial differential equations."

"Partial differential equation..." Chen Zhou chewed on Wu Xiping's words over and over again, following this train of thought, relevant knowledge kept emerging in his mind.

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

Sometimes there is a sudden look, and sometimes the brow is furrowed.

Seeing the changing expression on Chen Zhou's face, Wu Xiping smiled silently.

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

For a while, Wu Xiping's office was only the rustling sound of the pen tip scratching the paper.

After a long time, Chen Zhou recovered from the state of concentration, and he said softly: "Teacher, thank you."

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

"Ahem..." Chen Zhou coughed lightly twice, "Teacher, you must have misunderstood something, why do 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 looked up at Chen Zhou, and said slowly, "It's okay, I believe you can do it. Well, how do you say that?"

Chen Zhou: "Which sentence?"

Wu Xiping smiled and said, "I like you!"

Chen Zhou: "..."

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

Chen Zhou also brought out the draft paper he wrote just now, folded it and put it in his pocket.

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

[Why have you been there for so long? 】

[Are you still coming to the library? 】

[If you don't come again, the seat will be taken. 】

【Okay, the place is gone, don't come...】

Chen Zhou smiled and replied with a message [I'll be right over, I was detained by Professor Wu].

When Chen Zhou came to the library, next to Yang Yiyi, someone took the place that belonged to him.

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

There are only two girls, Li Jing and You Yurou, in the Astronomy Department of the Academy.

Of course, Yang Yiyi is the only girl in the physics department.

"It's not easy to take back the position, is it?" Chen Zhou hesitated and walked towards Yang Yiyi and the other two.

When he was about to reach the two of them, You Yurou looked up at him, smiled, then got up to tidy up the books, and gave up the seat to Chen Zhou.

Chen Zhou said softly, "Thank you."

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

Seeing You Yurou give way to Chen Zhou, she shook her head slightly, then looked at You Yurou.

You Yurou gave her a light smile: "It's better not to bother you young couple."

After finishing 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 pushed 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 detained by Professor Wu, and I was beaten up."

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

Chen Zhou smiled and said, "No, I just said something. Why are you so cute, how could 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 think?"

Chen Zhou thought for a while, and said, "Well... invite you to dinner?"

Yang Yiyi asked, "What do you eat?"

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

Yang Yiyi: "Anything is fine."

Chen Zhou murmured and said, "Uh... cover with rice?"

"..." Yang Yiyi glanced at Chen Zhou, "You are so dishonest..."

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

Yang Yiyi snorted softly, picked up the pen again, and started to read her book.

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

He needs more relevant literature books to recharge himself.

(End of this chapter)