Chapter 360: The stimulation that can sublimate one's soul
Xu Qingzhou understood Gu Zhizhong's thoughts, so he nodded and waited in the corner to be called.
At this time, the class bell rang.
Gu Zhizhong walked up to the stage, glanced around, and said in a deep voice: "Classmates, has anyone solved the problem I left last week?"
As Gu Zhizhong expected, no one answered.
Gu Zhizhong looked at Xu Qingzhou with a smile, "In that case, let your senior talk about it. Come on, Xiao Xu, the questions are here."
Gu Zhizhong pointed to the manuscript paper on the podium.
Xu Qingzhou nodded, faced everyone's gaze, walked calmly onto the stage, and first glanced at the title on the manuscript paper.
[Assume p is an odd prime number, a is an integer, satisfying a≡0, find the solution.]
Wow, no wonder Professor Gu was sure that no one could solve it. The difficulty of this question is almost enough for a graduate student.
Xu Qingzhou was thinking, and the people in the audience held their breath.
This question was difficult, so they asked their seniors for help privately.
"Fuck, Professor Gu's questions this year are so weird."
"Don't worry, this question will take a lot of effort on our part, not to mention you."
"It's normal that you can't solve it. It's like giving a hellish problem at the beginning of your freshman year. It's impossible for a normal person to solve it."
A senior student sighed: "If you encounter a being that can suppress eternity, it is not impossible to do it."
"Ah?" The junior was confused.
"That was a glorious era, with many geniuses rising up. Ahem, I'm getting off topic. Anyway, our generation all lived under the shadow of God Xu."
The senior's eyes were filled with memories.
The younger students looked at the boy's expression, their young faces full of longing.
Gu Zhizhong did it on purpose.
There are several "troublemakers" among the students this year, and they are very talented, like this little girl named "Xiao Yuanshan", who is very smart.
I am just a little stubborn. I have just entered the school and my basic knowledge is not yet solid, but I have already started looking for other ways to prove the twin prime conjecture.
It is lucky to find a student like Xu Qingzhou once every hundred years.
Although this girl is stubborn, she is indeed a rare gem.
In addition to Xiao Yuanshan, there is also a boy named Lu Ruohong, who is equally amazing.
The quality of students admitted to Kyoto University this year is very high.
We are all not ordinary people, so Gu Zhizhong simply raised the difficulty of the questions by one level. Let’s put it this way, although this is freshman knowledge, seniors may be at a loss when they come.
In the classroom, Xiao Yuanshan stared at Xu Qingzhou, somewhat curious about how long it would take Xu Qingzhou to solve this difficult problem for them.
This senior is very capable.
One of the reasons why she came to Peking University was because of Xu Qingzhou.
This is like Mount Everest, which is the goal that all mountaineering enthusiasts want to challenge and surpass.
The more powerful Xu Qingzhou is, the more challenging it is.
Xiao Yuanshan encouraged herself in her heart.
Sitting by the window on the left, Lu Ruohong was also waiting, wanting to know the gap between himself and Xu Qingzhou.
Xu Qingzhou glanced over the questions and quickly formed an idea for solving the problem in his mind.
"This question involves solving congruence equations, applying Fermat's little theorem, and applying prime number distribution and sieve methods. In fact, as long as you master the basic concepts, properties, and theorems of these topics and can apply them flexibly, you can solve and prove them."
Basic questions.
Contents of the first half of Mathematical Analysis 1.
It's all basic, but very complex and interconnected. It's obvious that Professor Gu has taken great pains to "cool down" this group of junior students.
Xu Qingzhou picked up the chalk and started writing on the blackboard.
There were a lot of surprised looks from the audience.
Xiao Yuanshan's eyes narrowed. So fast? From seeing the question to starting to write, it was only a dozen seconds, right? Is the gap so big?
Gu Zhizhong held the teacup and nodded slightly. He just wanted to tell this group of young people that there are always people better than you and there are higher goals than you can achieve. If you want to learn mathematics well, you still have to calm down.
Don't think about unnecessary things all day long. Do you really think that everyone is Xu Qingzhou?
"Here, we need to use Xia Guo's remainder theorem and quadratic remainder theory to solve it, and pay special attention to the relationship between the solution of the quadratic remainder equation modulo p^2 and the solution modulo p."
Xu Qingzhou spoke very quickly.
In the audience, after a brief moment of surprise, everyone quickly got into the state and followed Xu Qingzhou's ideas to make calculations.
When it comes to Pell's equation and recursive relations, some people already have confused expressions on their faces.
Xu Qingzhou was not in a hurry. He slowed down his pace, tapped the blackboard, and said, "At this point, the most important thing is to use the recursive properties of the solution of Pell's equation."
Gu Zhizhong looked at the young man who was speaking eloquently and with ease on the stage, with an undisguised approval on his face. He thought that it would be a good idea for this boy to be a teacher, as his lectures were easy to understand and progressive, and he was very skilled.
But soon, he shook his head again. Compared with staying rooted in the teaching position like him, Xu Qingzhou was more suitable to stay on the front line and contribute to Xia Guo's mathematics career.
Xu Qingzhou spent most of the class explaining the problem clearly, and left the stage amid everyone's admiration and respect. As for the little girl who seemed to be full of energy, he didn't care about her.
Not everyone is like him, a cheater.
Seeing that it was already 11 o'clock, I went to the cafeteria to have a meal and then continued to verify the model.
Inspiration came so suddenly. I was having a headache in the morning, but suddenly a flash of inspiration came to me, and I felt as if everything was suddenly clear.
Through topological structures, we can reveal the strange phenomena of quantum many-body systems, from spontaneous symmetry breaking to quantum phase transition, to topological order, long-range entanglement and category symmetry.
A very profound dual relationship is established between the topological structure of the manifold and the internal structure of multi-body quantum entanglement.
He is now ready to verify whether the two models can be completely linked through topological properties without any repulsion.
Four days passed.
Xu Qingzhou was immersed in calculations and couldn't extricate himself.
There is a lot of potential in topology.
In this, we can see hope.
Moreover, he had a hunch that the AB effect of good times would soon bear fruit.
On Saturday, the weather was clear and the breeze was gentle, with bright sunshine falling to the ground.
Song Yao wore a white T-shirt on the upper body, a windproof jacket on the lower body, high-waisted jeans on the lower body, and a high ponytail, showing off her tall figure. When she went out, she was too lazy to hold an umbrella, so she wore a black baseball cap, which made her look cool.
The wind is good, the weather is good, and the people around me are good, but the environment is a little creepy.
"Ah~"
All around, screams were heard constantly.
Xu Qingzhou's kidneys were trembling as he listened to the screams coming from the jumping machine. "Is this the exciting thing you mentioned?"
"Is it exciting enough?" Song Yao raised her eyebrows, her eyes sparkling.
"Ah~"
In the distance, there was another scream.
Xu Qingzhou was still scared: "Is it too exciting?"
"Don't you just like excitement?"
"."
This is not the excitement I want!
The story begins yesterday.
At night, Xu Qingzhou was concentrating on calculating, when Song Yao suddenly ran over and said that she could give Xu Qingzhou an exciting experience.
"What's exciting?" Xu Qingzhou's thoughts were instantly pulled away from the formula.
"It's the kind that can elevate your soul." School Beauty Song licked her lips.
Then, Xu Qingzhou was woken up by Song Yao early in the morning, changed his clothes and went out.
The soul can be sublimated
Not only can it sublimate, it can also ascend to heaven.
“It’s not as exciting as I thought it would be.”
"So what kind of excitement do you want?"
"Just like"
Under the dangerous gaze of School Beauty Song, Xu Qingzhou swallowed the rest of his words. He squinted at the bungee jumping machine and said, "Go ahead. I'll watch you play."
"You play with me."
"Reject." Song Yao hooked her arm around Xu Qingzhou's neck and encouraged him, "Teacher Xu, I believe you can do it."
"No, I can't." Xu Qingzhou shook his head seriously.
"Xu Qingzhou, I'm your girlfriend, can you bear to see me sitting there alone?"
"Do you have the heart to drag your boyfriend along?"
"Be patient."
"."
"Xu Qingzhou! Are you going or not?!" Song Yao rubbed Xu Qingzhou's face.
"Don't go."
"."
Song Yao leaned close to his ear and whispered, "If you go with me, I can take a bath with you in the evening."
Xu Qingzhou's expression was slightly solemn.
Wow, this girl failed to use intimidation, so she started to bribe!
"Do you think I am such a person?" Xu Qingzhou asked righteously.
"Isn't it?"
"Song Yao, you misjudged me." Xu Qingzhou sighed and shook his head slowly.
“I can still write one more word.”
"Stop, stop it, I'm a serious person, please don't tell me these weird things."
Xu Qingzhou pushed away the school beauty Song who was tempting him, raised his foot, and didn't even turn his head back——
Go to queue up at the bungee jumping machine.
The world is big, the most important thing is to have fun with your girlfriend.
2 minute later.
“Welcome to the Heroes of Heaven and Earth.”
The voices of the staff and the rhythmic music surround my ears.
On the bungee jumping machine, Xu Qingzhou suddenly felt a little regretful. Yes, he was a little envious of School Beauty Song's various skills. After all, he hadn't tried them since the last time, but he was not the only one who enjoyed them.
When faced with a tsundere like Song Yao, you can only take it slow.
Just like before, he would be beaten for touching legs, but now, when he sits there and nothing happens, this girl will put her feet in his arms.
sloppy.
In sharp contrast, next door, Song Yao was in high spirits, and her originally indifferent face now showed a hint of excitement.
The machine slowly rose, the view gradually became wider, and the undulating outline of the city could be vaguely seen in the distance.
The next moment, it fell rapidly.
Damn, I shouldn’t be tempted by beauty!
Even though I kept telling myself that I would not really fly out, the feeling of being about to die still came over me.
Happy time is always short-lived.
In front of the bungee jumping machine, Xu Qingzhou stood there numbly, his mind a little dazed. It was really thrilling.
"Teacher Xu, you are not capable of this. Don't force yourself. However, at night."
"Sure, of course!"
Xu Qingzhou nodded affirmatively.
At noon, the two of them had a quick bite to eat in the park.
On the wooden chair, Song Yao was studying the guide map to see how many exciting projects were left. Xu Qingzhou leaned against the back of the wooden chair and said, "Teacher Song, girls and Ferris wheels are more suitable."
"Teacher Xu, let's go to the haunted house." Song Yao's eyes sparkled.
"Okay." Xu Qingzhou nodded. He had even tried the bungee jumping machine, so he didn't take the haunted house seriously.
really.
They are all mechanical props.
Xu Qingzhou and Song Yao walked over calmly.
Several people who also looked like students screamed continuously. They went in in twos and threes, and came out in pairs, holding hands.
The sun was quite scorching. Song Yao pressed the brim of her hat and hid her face in the shadow. Looking at the two girls who were still in shock, she began to wonder if they were playing in a haunted house.
"Is it really that scary?"
"This is called romance," Xu Qingzhou said. Holding hands was a natural thing, and even hiding in the boy's arms, both of them knew it well.
"Why don't you act a little coquettish and pretend to be weak?"
"will not."
"I'll teach you." Xu Qingzhou demonstrated to Song Yao, stamped his feet, pinched his throat, "Teacher Xu, I'm scared!"
Song Yao looked at Xu Qingzhou: "I want to hit you."
"Well, that's how it is. When girls act weak, it's easy to arouse boys' desire to protect them."
Song Yao thought for a moment, "If I don't pretend to be weak, you won't have the desire to protect me?"
"."
Roller coaster, big pendulum.
It was not until 6 o'clock in the evening that Song Yao reluctantly walked out of the Happy Valley gate with Xu Qingzhou.
Except for the bungee jumping machine, Xu Qingzhou felt fine. Of course, maybe it was because he was numb.
After playing for a whole day, the two were too lazy to cook, so they had a lobster meal outside and didn’t get home until almost 8: in the evening.
Song Yao poured cat food for Er Miao, while Xu Qingzhou continued to work on his own calculations. After several days of hard work, he was able to use topological structures to protect the entangled state from interference from the AB effect.
She secretly glanced at Xu Qingzhou and breathed a sigh of relief when she saw that he didn't say anything strange.
It's tiring, but the experience is really different.
Her tsundere nature made her feel a little repulsed in her heart. It was too abnormal. How could a decent person have so many things? But... she also felt inexplicably looking forward to it.
Song Yao couldn't help but think, "Oh, if only Xu Qingzhou forced me, he would be the pervert, not me."
Shaking her head, she leaned back on the sofa and pulled out a law book.
On this side, Xu Qingzhou was indeed calculating seriously. He had already seen through School Beauty Song and realized that she was too arrogant. She needed to be taught a lesson. Hehe, I'm not panicking.
In the presence of a magnetic field, the phase difference of the electron wave function through the two paths is: Δφ＝ec∫adaA（r′）·dr′＝ecΦB
According to Feynman's path integral theory, in the case of only a constant magnetic field, that is, independent of time t, if A = A(r), φ = 0, then the time-dependent Schrödinger equation needs to be modified.
Then connect it with the model of entangled states.
The nonlocality of this part of multi-body entanglement can be described by the topological phase.
Some time ago, it was a bit like robbing Peter to pay Paul.
For example, after adjusting the phase change function of the wave function phase change model in the AB effect, the amplitude of the entangled state in the entangled state model will have problems.
After finishing the latter, when I looked back, the previous ones didn't match up.
The topological structure is used to make up for the incompatibility of the two models.
10 pm.
Song Yao laughed and secretly glanced at Xu Qingzhou. Seeing that he was concentrating on calculating, she got up quietly and went to get some clothes in slippers.
Before entering the bathroom, Song Yao glanced at Xu Qingzhou again. He was still busy calculating.
"I know math every day."
School Beauty Song suddenly felt a little sad and went into the bathroom.
In the mirror, her skin was smooth and delicate, her body proportions were perfect, and it swayed with her movements.
"Dong~dong~"
Song Yao hadn't turned on the hot water yet, so the door was pushed open and someone who had been doing calculations just now walked in swaggeringly.
"Xu Qingzhou, come in and do the trick!"
"Just right, together."
"No, who wants to take a shower with you? If you don't leave, I'll bite you!" Song Yao glared at him, looking fierce.
Xu Qingzhou was not at all afraid. He took a step forward and stood in front of Song Yao.
"Xu Qingzhou~Woo~"
(End of this chapter)
