Scholar’s Advanced Technological System

Chapter 138 Balance in Hilbert's Space

I stopped two people before I finished eating. I was supposed to sing, but I can't sing anymore.

Lu Zhou closed the bill for Brother Fei, then he and Huang Guangming set up Liu Rui and dragged the boy back to his bedroom.

As for Brother Fei, there are beauties to take care of, most of them are drunk tonight, half a push, can't come back...

Back in the bedroom, the two single dogs laid a mat on the floor for Liu Rui, and then put a quilt over him, which was sort of arranged.

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

“Uncomfortable, elbow. ”

I haven't had much to drink, I'm still sober, and I'm about to give my graduation thesis to the ark and say, “What's the pain? ”

“Hey, don't you have any ideas when you see Brother Fei taking off his order? ”

“… what do you think? ”

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

Ark: …?

Nothing to say overnight.

The next morning, Brother Fei had not returned, and it was estimated that he was still immersed in a gentle country.

Get out of bed on the ark and brush your teeth and face on the balcony.

When he came back, Liu Rui, who was lying on the floor, climbed up and Huang Guangming, who was lying on the bed, climbed down very tacitly.

The ark curiously asked, "Why are you so diligent today? ”

Huang Guangming struck the arrears and walked towards the balcony with a toothbrush cup. “Why not? Wait till Brother Fei gets back? ”

The ark imagined the scene, with a slightly subtle expression.

Okay, so that's it, okay.

……

After breakfast in the cafeteria, the ark slowly swayed to the library's doorstep.

At this moment, the empty space in front of the Library's doors is already full of people.

The old Examination Army has been liberated and a new batch of Examination Army is ready to go. This feeling of a thousand armies crossing the Oak Bridge has been ordered by the school to graduate from the ark boat, I'm afraid I haven't had a chance to experience it.

Hey, life is a big pity.

As the crowd poured into the library, the ark sat in a remote location, opened a blank document and prepared to begin writing a graduation thesis.

He had already chosen the title.

Mathematics is a scientific tool, and sharpening this tool is useful, but if you just stay on the mathematical level, it's a waste of your talent.

Now that it has been decided to move the foot towards the great pit of mathematical physics, the Ark has chosen generic analysis as the direction of its graduation thesis. It's just that the aim is no longer the Fourier transform, but the unpredictable Hilbert space.

In quantum mechanics, there are infinite states, so the dimensions of the interior space are infinite. Infinity involves convergence. When certain parameters are taken infinitely, in order not to let any one physics escape out of space, it is mathematically necessary for the limits of any sequence to remain within space, which requires space completeness.

And the Hilbert space meets this need for quantum mechanics.

A physical system can be represented by a Fusion Hilbert space, where the vector is a wavefunction describing the possible state of the system.

Although Hilbert's space-related concepts were introduced in the generalized letter analysis at the undergraduate stage, they remained only in some shallow stages. In the frontier of mathematics, the Hilbert space, like the Fourier transformation, can be singled out for discussion as a research direction.

This graduation design, the ark will not follow the standards of undergraduate students, but will do according to the standards of journal submission, do not do well and ignore, Kwon is a practice!

Looking back at the references from a while ago, the ark put its hands on the keyboard and quickly typed out a line.

[Sticky Approaching Method of Equilibrium Problems and Limited Unstretched Mapping in Hilbert Space]

This paper doesn't need to be redeemed for points. Earlier, when I exchanged with Brother Ross about Hilbert's space, there was just a little thought in the Ark's head, and it happened to be written at this time.

Picking up the pen, the ark wrote on the draft paper.

[Set H to give the built-in compound Hilbert space, note that L (H) is the entire linear operator, T × L (H), then the numerical domain of operator T is defined as the following set: W (T) = {Tx, x | x × H, || = 1}...]

Time went by, and the ark just felt so smooth that it quickly filled the entire draft in the ocean, reaching for the second piece of paper.

As he had previously speculated in challenging twin count speculation, the benefits of an increase in the mathematical hierarchy were not merely unlocking system database permissions, but also improving his own thinking ability in the field.

Brain domain development?

Or what?

In short, he can clearly feel the changes that have taken place in him.

“Let's finish the paper in the next few days and then get the system done. ”

He stretched out a lazy waist and looked at the brothers and sisters who were preparing for the war exams beside him. The heart of the ark also raised energy.

Actually, brushing papers in the library, reading books, it feels pretty good. As the level of discipline increased and knowledge gained faster, he also increasingly enjoyed this process, from ignorance to knowledge.

I just don't know why, sitting here on a canoe with a hard book, it always feels like something is missing...

……

Back in the bedroom, no surprise, I heard Stuart pretending to be there.

But this guy didn't say "first time what gratitude” such a very private topic, just simply teach two single dogs a little life experience, such as what the sister feels... and this is also the most annoying!

Huang Guangming directly turned on his computer to watch a comprehensive art show. Liu Rui put on his headset and brushed abstract algebra while listening to the song. The two people blocked the guy at the same time.

“Yo, elbow, self-study back? ”

“How did it feel yesterday? My wife, how's the quality of their bedrooms? ”

“Are we going to the microsignal? Don't be so shy, we're all adults, so why don't you tell me who you're interested in and I'll ask WeChat for you? ”

The ark sighed: "Brother Fei, you're swollen. ”

Stuart touched his face: "Expansion? Am I expanding? ”

Ark: “Yes, you make me feel like I'm still New Year's. ”

Stuart stunned: “New year? Why?”

“What you just said, by the time of the New Year, several of my relatives' menopausal aunts had already said it. ”

Stuart: “…”

Dropping the laptop bag on the table, the ark was about to go wash its hands on the balcony and happened to see a comprehensive art show on the Huang Guangming computer, looking twice.

“The strongest bully? ”

“Yeah.”

Yes, have you started looking for common topics?

Looking at Huang Xiaozhu, the heart of the Ark is emotional.

Looks like 201's single dog camp is missing another brave little buddy.

“What are they doing?” At some point, Liu Rui stopped brushing questions and came around to watch. From the outside, a few men are surrounded by a computer, people who don't know what they're looking at.

“Sudoku! ”

Sudoku?

Looking at the steady young man on stage, the look on the ark suddenly appeared.

This is the schoolmaster named Wu Yan?

But somehow, he, who was also a schoolmaster, smelled a weak breath across the screen. Of course, for whatever reason, it's definitely not because the goods are good-looking, after all, they're still a little different than him.

As a mathematical group, Wu Yan, Ark felt that although he was better than academic achievement than not beating those old men, he still wouldn't lose to anyone if he was worth it. I don't suppose anyone would argue with that?

That's when the guy on the stage moved.

The ark was shocked.

“Blind Sudoku?! ”

Huang Guangming smiled bitterly: “Cheat... can't you talk about Lu? ”

Ark: “… can't be provoked. ”

Is there any misunderstanding about the word "bully" in this program? But then again, that athlete doesn't even need the time to calculate?

It's horrible.

The next is a hundred discipline challenges, with both sides standing by to answer questions on the spot. Some topics, like physics, some mathematics, some biochemistry, require division of labor among members to decipher. The ark is understandable, but Huang Xiao Biao and Liu Rui have begun to push each other.

But doesn't that seem to interfere with the taste of these two people?

Liu Rui: “Elbow, can you read me? ”

The ark nodded: "You can basically see. ”

Understandable is understandable, but certainly not so fast. Many of the topics in this competition are the level of college students' expertise, and even some professors will have to spend a little time thinking about it.

It's a choice, but unless it's blind, it's almost impossible to flatten it like this... the genius of the world has changed so much. Is it a state?

The four members of the German team across the boat were consciously looked at one by one and found that Peter Schultz was not in there, looked at the Chinese team, and had no familiar face.

In less than fifteen minutes, a hundred questions will be solved and answers will be published. The Tiger King from Germany answered 83 questions correctly and scored 8.3 points, temporarily leading the way on 79 questions from the Transcendental Team of China.

With a total score of 14: 15 between the two sides, the Tiger Kings were temporarily in the lead and the situation became tense.

That's when the hostess in the evening gown came forward to speak.

“We all know that the great mathematician Euclidean has to prove the infinity of prime numbers, and modern mathematician Hilbert has proved it again using topological methods. The search for mysterious primitive numbers in mathematics is endless. ”

“The next topic is a world-class challenge. ”

“The great mathematician Polynyak puts forward a general guess that for all natural numbers k, there are infinite multiple prime pairs (p, p +2k). And our topic today is to test the weak speculation of that speculation. ”

“Whoever can push K to a smaller number will get 3 points for winning this decision! ”

“Start answering questions! ”

The three little buddies in front of the computer suddenly startled.

Huang Guangming: “Grass grip? So social?! ”

Liu Rui: “Can this Nima give a certificate on stage? I fucking ate this computer... or didn't eat it. ”

Ark:????