Chapter 8 Optimal Inversion Theory of Linear Operators and Linear Functionals
Since having the system, Lu Zhou feels that his life is more regular, and he went to the library early in the morning with his second-hand notebook. For him, the experience was simply unprecedented.
It's still the old place, Lu Zhou opened the notebook, found a power supply by the wall and plugged it in, thought about it for a while, and knocked out a few big words on the word document.
【Optimal Inversion Theory of Linear Operators and Linear Functionals】
[Abstract:Several types of inversion problems of linear functionals and linear operators when all and part of information are given. The basic results of the optimal inversion theory are introduced, especially the construction of the optimal inversion method......】
This topic came to mind when Lu Zhou was lying in bed and flipping through his notes last night, and their mathematical analysis teacher, Professor Tang, mentioned to them in passing when he talked about the Fourier inversion formula, which is not a hot topic in today's mathematics world, but is relatively cutting-edge.
Combined with the information he consulted on the Internet, Lu Zhou drafted this topic.
As for how to solve this problem?
Well......
With his level of knowledge, he must be incomprehensible, so he has to use some conventional means.
If he remembered correctly, the integration of the black technology system could be used to solve technical problems in reality, and he tried the proof method to solve the Riemann conjecture, but there was no response. Either the answer was out of his math level, or the points were astronomical and he couldn't afford it.
Aiming for a problem of this level, the system should always give a reaction, right?
Thinking of this, Lu Zhou concentrated his attention on the computer screen, and began to silently recite "System System System ......" in his heart
Well......
There doesn't seem to be a response.
Well?
Suddenly, a warm current rushed up to the Tianling cover from behind, Lu Zhou only felt that his brain was hot, and then with a "boom", a huge flow of information exploded in the sea of knowledge, and lines of text floated in front of his eyes.
【Points consumed 65 points】
[Based on the LV0 level of mathematics, the optimal solution is being given......]
That feeling didn't hurt, but made people feel a little enjoyable, and just when Lu Zhou wondered if he had become M, he woke up in an instant.
Staring at the snow-white computer screen, Lu Zhou looked at his hands, then at the keyboard, and muttered with a hint of excitement that could not be concealed.
"Solution...... Untied? ”
It's really unraveled!!
If it weren't for the library, he would have cheered excitedly.
Just like when he mastered Zhou's conjecture proof method, the core argumentation method of the whole project was like a soldering iron, directly imprinted in his brain.
From the process, to the answers, every number, every symbol, and even every punctuation, it is so concise and full of mathematical beauty.
The only fly in the ointment is that this beauty is too skinny, and it needs to be enriched with words to turn it from a pure theory into a thesis.
A paper that can be read by other people.
In the dark, Lu Zhou seemed to understand something, about the meaning of the black technology system.
But what he couldn't understand was, why did all this happen?
At that moment, a ballpoint pen reached over and poked his arm gently.
"That, classmate......" Chen Yushan blushed and asked embarrassedly, "Can I ask you another math problem?" ”
Originally, she didn't want to look for him, but she asked everyone before and after this question, but no one could solve it.
There is no way, people are under the eaves and have to bow their heads.
Chen Yushan chose to endure the humiliation and decided to forget his "humiliation" to herself the day before yesterday.
Coming back to his senses, Lu Zhou opened his mouth and said, "Okay, let's take the topic." ”
Chen Yushan breathed a sigh of relief, lightly moved her chair over, and sat next to Lu Zhou.
Lu Zhou glanced at the question twice, and found that the difficulty of this question was much more difficult than the question the day before yesterday, and it was probably the same level as the question that Liu Rui asked him.
But no matter how difficult it is, it can't 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 an unsolvable solution.
Picking up the pen, Lu Zhou began to write and draw on scratch paper.
When Lu Zhou was doing the question, Chen Yushan secretly glanced at his side face.
Although this person's personality is not very likable, but the serious appearance is surprisingly quite attractive.
Just when Chen Yushan was bored 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 he is really a talent!
Lu Zhou, who was solving the problem, replied casually: "No, that is a paper, and I submitted it to SCI." ”
Hearing this, Chen Yujie's face was full of reverence.
Oh my God, this is a great god!
I really didn't see it, I look so young, I'm actually a graduate student!
And I started to apply for SCI when I was in graduate school, which is amazing!
Chen Yushan asked with a look of admiration: "Senior, what major are you?" ”
Lu Zhou, who was doing the question with an expressionless face, suddenly smiled shyly when he heard the word senior: "Uh...... Department of Mathematics. ”
"Department of Mathematics, my God, those who can learn mathematics well are immortals......" Chen Yushan sighed heartily, and the worship in her heart became more obvious.
She is in a business school, and although the knowledge of this major is quite OK, the only thing she worries about is mathematics. is about to be a senior year, and the mountain of graduate school entrance examination is pressing in front of her, but she is worried that she still wants to continue her studies.
"Unraveled, I wrote down the process and ideas on paper, and you should be able to figure it out by pondering it yourself." Pushing the scratch paper next to Chen Yushan, Lu Zhou said softly, "Mathematics is a thing that depends on talent and practice, unlike other science subjects, it is useless to just listen to others." ”
After all, this is a library, not a good topic. It's okay to whisper a few words, but if you keep talking, you're afraid of getting a lot of eyes. So Lu Zhou stopped talking and handed over the things that needed to be understood to the girl to think about herself.
Chen Yushan hurriedly said thank you, and after coming the draft directly, she then took out her mobile phone and asked embarrassedly: "That...... Senior, can I add your WeChat? If you don't know how to ask you, I'd like to ask you. ”
"No problem." Lu Zhou didn't think much about it, took out his low-profile millet, and scanned the QR code for the girl.
"Thank you, next time I'll treat you to dinner." Chen Yushan thanked her again with a red face, moved her stool back, and continued to write.
At this time, Lu Zhou suddenly came back to his senses, and he seemed to have forgotten to clarify a misunderstanding.
Where is I a graduate student, I am 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 seems that there is some neurotic, and others are embarrassed, so this misunderstanding will wait for the next opportunity.
Thinking of this, he shook his head, put the matter behind him, continued to focus on the screen, his fingers tapped lightly on the keyboard, and began to concentrate on writing his paper.
……
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 from the database of the system itself.
While writing the paper, Lu Zhou was also taking notes in the handwritten notebook next to him, listing the knowledge points he couldn't understand, and putting question marks on the steps in question.
When others write a paper, it is like squeezing water out of a sponge, but for him, it is like using a rubber tip dropper to drip water into a sponge, which is more like an input process than output.
For the whole day, Lu Zhou soaked in the library, and even his lunch was solved with the buns he bought in the morning.
Looking at the paper on the screen, which was thousands of words large, and the two-page note, he leaned back in his chair and stretched hard.
"All that's left is to thoroughly understand the knowledge points on the notes, and try to check the information if you can...... 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 redundant, which can also be simplified a little. When the time comes, if you search on CNKI, what has been proven by other papers, you can directly delete the proof process and mark the citation. ”
"Finally, it's a duplicate check...... I don't think it's a big problem for me, after all, we write every word ourselves. ”
Or the system writes it, it's not bad anyway.
It wasn't early, his stomach was already growling, and Lu Zhou got up from his seat with a sigh and walked outside the library.
Do you want to continue to eat bibimbap for dinner? Or eat curry bowls?
After eating dinner for a while, I went to Old Tang's office on the way, if Lu Zhou remembered correctly, he should be on duty in the Q&A classroom for the senior graduate school entrance examination.
Well, it's such a happy decision!