Chapter 8 Optimal Inversion Theory of Linear Operators and Linear Functionals

Since he had the system, Lu Zhou felt that his life was more regular, so he carried his second-hand notebook to the library early in the morning. For him, the experience was simply unprecedented.

It was still the same place, Lu Zhou opened the notebook, found a power supply by the wall and plugged it in. After thinking about it for a while, he typed a few big words on the word document.

[Optimal Inversion Theory of Linear Operators and Linear Functionals]

【Abstract】Several classes of inversion problems of linear functionals and linear operators given full and partial information are studied. The basic results of optimal inversion theory are introduced, especially the construction of optimal inversion methods...]

This topic came to Lu Zhou last night when he was lying in bed and flipping through his notes. Professor Tang, their math analysis teacher, mentioned the Fourier inversion formula to them casually. Not on the popular, but more cutting-edge fields.

Combined with the information on the Internet, Lu Zhou came up with this topic.

How to solve this problem?

Um……

With his level of knowledge, it is definitely incomprehensible, so he has to use some conventional means.

If he remembered correctly, the integral of the black technology system can be used to solve technical problems in reality. He tried the proof method to solve the Riemann conjecture, but nothing happened. Thinking about it, either the answer was beyond his math level, or the point consumption was an astronomical amount he couldn't afford.

With this level of subject as the goal, the system should always give some response, right?

Thinking of this, Lu Zhou focused his attention on the computer screen, and began to silently recite "system system system..."

Um……

There seems to be no response.

Um?

Suddenly, a warm current rushed to the sky from behind, and Lu Zhou only felt his brain heat up, followed by a "boom", a huge flow of information exploded in the sea of ​​​​knowledge, and lines of text followed from his. Floating before my eyes.

【Point consumption 65 points】

[Based on the LV0 level of mathematics, the optimal solution is being given...]

That kind of feeling didn't hurt, but made people feel a little more enjoyable. Just when Lu Zhou wondered if he had become an M, he woke up in an instant.

Staring at the snow-white computer screen, Lu Zhou looked at his hands and at the keyboard, murmuring with a hint of excitement.

"Untie... untie?"

Really unraveled! ! !

If it wasn't in the library, he'd be really excited to cheer.

Just like when he mastered the proof method of Zhou's conjecture, the core proof method of the entire project was imprinted directly in his brain like a soldering iron.

From the process to the answer, every number, every symbol, and even every punctuation is so concise and full of mathematical beauty.

The only fly in the ointment is that this beauty is too skinny, and it needs language to enrich its connotation and turn it from a pure theory into a paper.

A paper that can be read by others.

In the dark, Lu Zhou seems to understand something about the meaning of the black technology system.

What he couldn't understand was why all this was happening?

At this moment, a ballpoint pen reached out and poked his arm lightly.

"That, classmate..." Chen Yushan blushed and asked embarrassedly, "Can I ask you another math problem?"

Originally, she didn't want to find him, but she has asked all the people around and around this question, and no one can answer it.

No way, people have to bow their heads under the eaves.

Chen Yushan chose to endure the humiliation and decided to forget the "humiliation" he had done to her the day before yesterday.

After coming back to his senses, Lu Zhou said: "Okay, let's bring the topic."

Chen Yushan breathed a sigh of relief, and lightly moved her chair over and sat next to Lu Zhou.

Lu Zhou glanced at the question, and found that the difficulty of this question is much more difficult than the question the day before yesterday, probably on the same level as the question Liu Rui asked him.

But no matter how difficult it is, he cannot escape the framework of advanced algebra, especially for him, as long as it is a problem in the exercise book, there is no such thing as a problem that cannot be solved.

Picking up the pen, Lu Zhou began to write and draw on the scratch paper.

While Lu Zhou was doing the question, Chen Yushan peeked at his profile.

Although this person's personality is not likable, but his serious appearance is surprisingly attractive.

While Chen Yushan was boredly waiting for Lu Zhou to solve the problem for her, she suddenly noticed the word document on his computer screen and asked in a low voice, "Classmate, are you doing your graduation project?"

The graduation project has not been completed until June, and it is really a talent!

Lu Zhou, who was solving the problem, replied casually: "No, that is a paper, and it was submitted for sci."

Hearing this, Chen Yuxian's face filled with admiration.

Oh my God, this is the encounter with the Great God!

I really didn't see it, he looked so young, he was actually a graduate student!

And I started to vote for SCI during my graduate studies, which is amazing!

Chen Yushan asked admiringly, "Senior, what major are you in?"

Lu Zhou, who was doing the question expressionlessly, suddenly smiled shyly when he heard the word "senior": "Uh... the Department of Mathematics."

"Mathematics department, my god, those who can master mathematics are immortals..." Chen Yushan expressed her heartfelt emotion, and the worship in her heart became more obvious.

She is from the business school. Although the knowledge of this major is quite good, the only thing that worries her is the mathematics course. It's about to be her senior year, and the mountain of postgraduate entrance examination is pressing in front of her, but she is worried that she still wants to continue her studies.

"I solved it. I wrote the process and ideas on the paper. You should be able to figure it out if you think about it yourself." Pushing the draft paper to Chen Yushan's side, Lu Zhou said softly, "Mathematics is a matter of talent, and secondly. Different from other science subjects, it is useless to just listen to people’s explanations.”

This is a library after all, not suitable for lectures. There's nothing wrong with exchanging a few sentences in a low voice, but if you keep talking, you'll probably get a lot of scorn. So Lu Zhou stopped the conversation and gave the girl to think about what she needed to understand.

Chen Yushan hurriedly said thank you, and after bringing the draft directly over, she took out her mobile phone and asked in a low voice embarrassedly, "That... Senior, can I add your WeChat? If I encounter problems that I can't understand, I will also I want to ask you."

"No problem." Lu Zhou didn't think much, took out his low-end millet, and scanned the QR code for the girl.

"Thank you, I'll invite you to dinner next time." Chen Yushan blushed and thanked again, moved back with her stool, and continued to write hard.

At this time, Lu Zhou suddenly came back to his senses, and he seemed to have forgotten to clarify a misunderstanding.

Where are you a graduate student, you are a freshman.

Although it will be a sophomore in a few months.

But after thinking about it, I ran over to clarify this matter. It seemed a little crazy, and others were embarrassed. Let's talk about this misunderstanding next time.

Thinking of this, he shook his head and put the matter behind him, his eyes continued to stare at the screen, his fingers tapped the keyboard lightly, and he began to concentrate on writing his thesis.

...

Although the system is based on the solution given by the LV0 level of mathematics, Lu Zhou can conclude that the knowledge points used in this solution must not be based on his own knowledge reserves, but are called from the database of the system itself. out of knowledge.

While writing the thesis, Lu Zhou was also taking notes on the handwritten notebook next to him, listing the knowledge points that he did not understand, and putting question marks on the questionable steps.

For others, writing a paper is like squeezing water from a sponge, but for him, it is like dripping water into a sponge with a rubber-tip dropper. It is more like an input process than output.

All day, Lu Zhou was soaking in the library, and even lunch was solved with the buns he bought in the morning.

Looking at the thousand-word dissertation on the screen, as well as the two-page note, he leaned back on the chair and stretched hard.

"The rest is to thoroughly understand the knowledge points in the notes. If you can check the information, try to check the information... If you can't find it in the book, ask the teacher."

"There are also places where the argumentation part of the paper is too complicated. It can also be simplified a little. When the time comes to search on CNKI, and things that have been proven by other papers, just delete the proof process and mark the citation."

"The last thing is to check the duplicates... I shouldn't have a problem with me, after all, we wrote every word by ourselves."

Or the system wrote it, it's not bad anyway.

It was getting late, and his stomach had begun to growl. Lu Zhou got up from his seat and walked outside the library.

Do you continue to eat barbecue bibimbap for dinner? Or eat curry rice?

After a while after dinner, I stopped by Lao Tang's office. If Lu Zhou remembered correctly, he should be on duty in the Q&A classroom for the fourth-year postgraduate entrance examination.

Well, such a happy decision!