Scholar’s Advanced Technological System

Chapter 137: Equilibrium Problems in Hilbert Space

When the meal was not finished, I stopped two. I had to sing, and I couldn’t sing.

Lu Zhou gave the account to the flying brother first, then set up Liu Rui with Huang Guangming and dragged the boy back to the bedroom.

As for Feige, there are beautiful people to take care of. Tonight, most of them are drunk, half-pushing, and can’t come back...

After returning to the bedroom, the two single dogs laid a cushion on the floor for Liu Rui, and then took a quilt to cover him, which was arranged.

Huang Guangming climbed the ladder and lay down on the bed. After a while, he sighed and sighed.

"Uncomfortable, elbow."

I didn’t drink much, my mind was still awake, and Lu Zhou, who was preparing to give a thesis topic, replied casually: “Is it uncomfortable?”

"Hey, if you see the flying brothers off the list, don't you have any thoughts?"

"...what is the idea?"

Huang Guangming sighed: "Forget it, there is no common language."

Lu Zhou: ...?

Nothing in the night.

The next morning, Fei Ge had not returned yet, and it is estimated that he was still immersed in the gentle township.

Get out of bed and go to the balcony to wash your face.

When he came back, he found that Liu Rui, who was lying on the ground, had climbed up. Huang Guangming, who was lying on the bed, climbed down very tacitly.

Lu Zhou asked in a strange way: "Today, I am so diligent, I am going to study alone?"

Huang Guangming yawned and walked up the balcony while brushing his teeth. He said, "Why don't you wait for the flying brother to come back and force it?"

Lu Zhou imagined the picture and his expression was subtle.

Ok, it turned out, I understand.

......

After eating breakfast in the cafeteria, Lu Zhou slowly swayed to the door of the library.

At this moment, the open space in front of the library is already crowded.

The old postgraduate entrance examination army has been liberated, and a new batch of postgraduate examination and research troops are ready to go. This kind of Qianjun Wanmao’s feeling of crossing the wooden bridge has already been graduated from the school by Lu Zhou. I am afraid that I have no chance to realize it.

Oh, life is a big regret.

As the crowd surged into the library, Lu Zhou found a remote location to sit down, opened a blank document, and was ready to start writing a thesis.

He has already chosen the topic.

Mathematics is a scientific research tool. It is useful to sharpen this tool, but if you just stay on the mathematics level, it is too wasteful of your talent.

Now that he has decided to move his foot to the big pit of mathematical physics, Lu Zhou decisively chose functional analysis as the direction of his graduation thesis. Only this time is no longer the Fourier transform, but the unpredictable Hilbert space.

In quantum mechanics, there are infinite numbers of states, so the inner product space dimension is infinite. Infinity involves the problem of convergence. When some parameters are infinite, in order to prevent any physical state from running out of space, the mathematical limit of any sequence is still in space, that is, the space is required to be complete.

The Hilbert space just meets this need for quantum mechanics.

A physical system can be represented by a complex Hilbert space, and the vector is a wave function that describes the possible state of the system.

Although the Hilbert space related concepts have been introduced in the functional analysis of the undergraduate stage, they only stay in some shallow stages. In the frontiers of mathematics, Hilbert space is a same as the Fourier transform and can be extracted separately as a research direction.

This graduation design, Lu Zhou will not follow the standards of undergraduates, but will do according to the standards of journal submissions, do not do well and do not manage, right is a practice!

Recalling the references that I saw some time ago, Lu Zhou put his hands on the keyboard and quickly typed a line of words.

This time, the paper will not be redeemed for points. When I first exchanged the Hilbert space problem with Luo Shixiong, Lu Zhou’s head just had a little thought, and this time it was just written.

Picking up the pen, Lu Zhou wrote on the draft paper.

After a minute and a second, Lu Zhou only thought that the thoughts were very smooth, and soon the whole draft was filled with the whole draft, and the hand reached the second draft paper.

It seems that as he had previously guessed when challenging the prime number conjecture, the improvement in mathematics level is not only the unlocking of the system's database permissions, but also his own thinking ability in the field.

Brain domain development?

Still something else?

In short, he can clearly feel the changes that happen to him.

"Get these papers in the first few days, and then get the system's mission."

Stretched a lazy waist, looked at the brothers and sisters who were preparing for the postgraduate exam, and Lu Zhou also mentioned the enthusiasm.

In fact, in the library to brush the papers, look at the book, this feeling is also very good. As the level of discipline increases and the speed of knowledge acquisition increases, he is increasingly enjoying this process from ignorance to knowledge.

Just don't know why, Lu Zhou, who is sitting here and writing a book, always feels something less...

......

Going back to the bedroom, no accidents, I heard that Shi Shang was there to force it.

However, this guy did not say "the first time what grateful" this very private topic, just simply teach the two single dogs a little life experience, such as what the sisters have... and this is the most arrogant Human!

Huang Guangming directly opened the computer to watch the variety show. Liu Rui put on the earphone while listening to the song and brushed the abstract algebra. The two men blocked the guy in unison.

"Hey, elbow, come back from study?"

"How did you feel yesterday? My wife's bedroom is still good quality?"

"Don't go to the micro signal? Don't be so ashamed, everyone is an adult, just a little, or you tell me who is interested, I will help you ask WeChat?"

Lu Zhou sighed: "Fei Ge, you are inflated."

Shi Shang touched his face: "Expansion? Do I have inflation?"

Lu Zhou: "Yes, you make me feel like I am still in New Year."

Shi Shang is stunned: "New Year? Why?"

"The words you just said, the New Year's Eve, my aunt's family has said it again."

Shi Shang: "..."

Throwing the computer bag on the table, Lu Zhou is preparing to go to the balcony to wash his hands. When he happened to see the variety show on Huang Guangming's computer, he took a closer look.

"The strongest school?"

"Yes."

Yes, have you started looking for a common topic?

Looking at Huang Xiaoyu, Lu Zhou felt in his heart.

It seems that the single dog camp of 201 has lost a brave little friend.

"What are they doing?" I don't know when, Liu Rui did not brush the questions, and came over and watched. From the outside, a few men around a computer, people who don’t know what they are thinking.

"Sudoku!"

Sudoku?

Looking at the calm young man on the stage, Lu Zhou’s expression appeared a trace of gloom.

This is the schoolmaster called Wu Yan?

I don't know why, he is the same as the schoolmaster, and he smells a weak person through the screen. Of course, no matter what the reason, it is certainly not because the goods are handsome, after all, there is still a gap compared to him.

As a Wu Yan group in the mathematics world, Lu Zhou feels that although he does not win the old man than the academic achievements, but he does not lose to anyone than the value of the face, this should no one will refute it?

Just then, the man on the stage moved.

Lu Zhou was shocked.

"Blind to fill Sudoku?!"

Huang Guangming smiled and said: "Is it bad... If you say Lu Ge, can't you?"

Lu Zhou: "... can't get rid of it."

Does this program group have any misunderstanding about the word Xueba? But then again, and that player doesn't even need the calculation time?

This is too horrible.

Next is a hundred subject problems, the two teams stand on the spot to answer questions. Some are physics, some are mathematics, and there are also topics such as biochemistry, which require the division of labor between members to crack. Lu Zhou can understand it, but Huang Xiaoyu and Liu Rui have already begun to look awkward.

However, it does not seem to hinder the two people to look at it with relish?

Liu Rui: "I can you understand the elbow?"

Lu Zhou nodded: "Basically understand."

I can understand it clearly, but I can't do it so fast. There are many topics in this field that are all about the professional knowledge and skills of college students. Even some professors have to spend some time thinking about it.

Although it is a multiple-choice question, unless it is Yimeng, it is almost impossible to push it like this. It is said that the genius in this world has changed. Is it?

Lu Zhou subconsciously took a look at the four players from the German team and found that Peter Schultz was not inside. He looked at the Chinese team and had no familiar faces.

In less than fifteen minutes, all 100 questions were fixed and the answer was announced. The Tiger Kings from Germany answered the 83 questions and scored 8.3 points, temporarily leading the answer to the 79 questions from the Chinese team.

The total score of the two sides was 14:15. The Tiger King team was temporarily leading and the situation was tense.

Just then, the hostess wearing a tuxedo spoke up.

"We all know that the great mathematician Euclidean proved the infinity of prime numbers, and the modern mathematician Hilbert used the method of topology to prove it again. The pursuit of mysterious prime numbers in the mathematics community is Never ending."

"The next topic is a world-class problem."

"The great mathematician Polignac proposed a general conjecture. For all natural numbers k, there are infinitely many prime pairs. And our topic today is to verify the weak conjecture of this conjecture."

"Who can push k to a smaller number, who will get 3 points for this decision!"

"Start answer!"

The three little friends in front of the computer were instantly shocked.

Huang Guangming: "Hold the grass? So society?!"

Liu Rui: "Is this Nima able to prove it on the stage? I will give this computer to eat... or not."

Lu Zhou:? ? ?

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