Chapter 65 Laplace Matrix and Artificial Intelligence
The content on the screenshot is probably about Zhou Ming’s promise to Bi Wanfang, which is that Zhou Ming said that he will produce two research results that can be used for nuclear within one month after the start of school.
In addition, Zhou Ming also learned from this answer that Li Yanghua didn't tell him, that is, Bi Wanfang's graduate student association will be sent to Zhou Ming within that month.
"Yes, I did say this, what's wrong?" Zhou Ming admitted openly.
"In one month, two research results can still be used as a nuclear power. Brother Zhou, are you sure you are not kidding?" I guess Zhao Letian has been holding his phone all the time. As soon as Zhou Ming sent the news, Zhao Letian replied.
"You think I'll make a joke about this kind of thing?" Zhou Ming asked back.
"It's okay, when will you come back?" Zhao Letian knew what he meant after hearing Zhou Ming's words. After getting Zhou Ming's confirmation, he simply replied and asked.
"It may be after the early morning when I go back to school at night. I will find a hotel at the entrance of the school to sleep for one night and go back to school tomorrow." Zhou Ming said.
Today is the last day of May 13th day off. If it were two nights before, Zhou Ming would probably not be able to find an empty hotel room at the school gate.
The hotel next to the university has no difference in prices and hotels in other places, and there are many empty rooms.
However, once it is on a double holiday or other legal holidays, the price will soar. It is a bit of a problem if it rises by two or three times. And that's it. If you don't book early, it will be difficult to get a room.
As for why this situation occurs, I can only say that I understand it.
Zhou Ming only knew this information from Liu Tianlu. After all, Liu Tianlu had a partner in their dormitory, and he had never stayed in a hotel around the school.
Zhao Letian did not reply to Zhou Ming's news because he had already returned to pretending.
"Yes, I can confirm that the answer of this answerer who only dares to be anonymous and does not dare to disclose information is almost true." Zhao Letian replied below the anonymous answer and pretended to be a pussy.
Zhao Letian is a little famous now, especially his answer to Zhou Ming.
And the anonymous answer below, the previous comments were almost unbelievable.
But now that Zhao Letian has replied, those who saw this answer and clicked on the comments all left a sentence "I'm awesome" under Zhao Letian's comments.
However, because it's almost late at night now, this answer has not attracted much attention.
After fermenting this night and tomorrow, I am afraid that this incident will soon attract a lot of attention.
...
Number 4.
It happened to be Monday, and the class was full in the morning. After Zhou Ming returned to school, he returned to the dormitory after completing the routine exercise every day. The little boys in the dormitory had just gotten up.
"Brother Zhou, what did you do last night? I heard that Shen Xueba was still in school yesterday?" Liu Tianlu saw that Zhou Ming had not come back all night last night, so he walked to him, looked at him with a smirk, and asked him in a low voice.
"What do you think? Do you think I'm the same as you? I really went there yesterday." Zhou understood Liu Tianlu and retorted.
"What does it mean to be like me? Don't talk nonsense, I am a gentleman." Liu Tianlu defended himself.
When Zhao Letian, who was standing by, saw Zhou Ming coming back, he murmured with Liu Tianlu in a low voice, and also came up and said, "You two are muttering here, what are you talking about? What kind of gentleman?"
"Liu Tianlu said he never stayed home at night. He is a gentleman." Zhou Ming took the lead.
"Hey~~~, Liu Tianlu, you have to say that you often don't see you on Fridays and Saturdays nights, and you still say that you haven't been home all night?" Zhao Letian looked at Liu Tianlu and said disdainfully.
Everyone in the dormitory knew what Liu Tianlu did not go home at night, and when Liu Tianlu saw that he was rebellious and was angry when he was rebellious, he became entangled with Zhou Ming.
"Okay, okay, I have to go to class. If Zhou Ming doesn't go, it's not necessary for him. If you are late, you will have to be deducted from your usual points." Liu Xiao saw that Liu Tianlu had just gotten up and had not even brushed his teeth, so he started playing with Zhou Ming and urged him.
After being reminded by Liu Xiao, Liu Tianlu remembered that he still had to attend class.
"Damn it, I almost forgot about the holidays for a few days. It's all Zhou Ming." Liu Tianlu was still blaming Zhou Ming while going to get his toothbrush.
Zhou Ming did not go to the classroom with Shen Qingqiu today, and he went back to the dormitory just to get his laptop.
Not long after Zhao Letian and others left the dormitory, Zhou Ming also took his laptop and left the dormitory and went to the library.
The article "The Node Set of Laplace Eigenfunctions in the Mathematical Annual" last time Zhou Ming submitted a post on "Mathematical Annual" is only part of the "Node Set of Laplace Eigenfunctions".
This time, Zhou Ming brought his laptop to the library to create another part of the "Node Set of Laplace's Feature Functions" and published.
That's right, Zhou Ming is still preparing to write a paper this time, and it's a math paper, which is his third math paper.
nodal sets of laplace eigenfunctions: polynomial estimates of hausdorff measure.
This is the title, which means "The set of nodes of Laplace's eigenfunction: the upper limit estimate of the polynomial of the Housedorf measure".
“abstract. let m be a orgpact c^∞-smooth riemannian manifold of dimension n, n ≥ 3, and let φλ:?m φλλφλ= 0 denote the laplace eigenfunction on m corresponding to the eigenvalue λ. we show that……
As soon as Zhou Ming arrived at the library, he turned on the computer, wrote the title, and started writing the summary.
This paper demonstrates the estimation of the zero-point set of Laplace eigenfunctions defined by the Hausdorff measure for compact smooth manifolds.
This paper and the previous paper can promote the use of Laplace's spectrum and node sets.
Spectral theory is an important field of graph theory and combinatorial mathematics. Its main research includes three major matrices: adjacency matrix, Laplace matrix and unsigned Laplace matrix.
We also call the set of matrix eigenvalues the spectrum of the graph, and the research on the corresponding spectrum is: adjacency spectrum, Laplace spectrum, and unsigned Laplace spectrum.
The two mathematical papers submitted by Zhou Ming in "Mathematical Annual" are related to Laplace's spectrum. One of the main reasons why he chose to contribute these two papers is that the Laplace matrix is the core and basic concept in spectral theory and has important applications in machine learning and deep learning.
Machine learning and deep learning are crucial in artificial intelligence.
Including but not limited to Laplace feature mapping in manifold learning data dimensionality reduction algorithm, local maintenance projection, spectral clustering algorithm in unsupervised learning, graph-based algorithms in semi-supervised learning, and graph neural networks.
There are also many problems in image processing, computer graphics, etc.
Understanding the definition and properties of the Laplace matrix is the basis for mastering these algorithms. Zhou Ming's research on this aspect is also conducive to his future research on artificial intelligence.
It can be said that mathematics is the basis of most science and engineering disciplines, which is that some majors in biology have relatively high requirements for mathematics.
Chapter completed!