Chapter 14: Weisstokes Equations (2)



Like a broken water pipe. His nose was clogged with snot, and he opened his mouth to breathe, pointing at Lin Zhixia and arguing, "It's her! She's talking nonsense!"

How sad, Lin Zhixia thought.

Although, in Lin Zhixia's opinion, most of her classmates have some intellectual defects, Zhou Bufeng's defects are unique. She even couldn't bear to expose Zhou Bufeng's clumsy lies, because he has been living in a boundless fantasy - in order to attract attention, he can do anything.

Lin Zhixia calmly faced Zhou Bufeng's accusation and listed the evidence in an orderly manner: "After Zhou Bufeng got the key chain, he did not go to the cashier. He walked outside the store. I whispered to him to return the items, but he pushed me away."

"I'll testify." Suddenly another classmate's voice came.

Lin Zhixia followed the reputation and met the deputy monitor Tang Leqin.

Tang Leqin grabbed the straps of her schoolbag with both hands, stood in front of Zhou Bufeng, and said righteously: "Lin Zhixia is right! You stole something!"

The store clerk and manager arrived one after another. Teacher Wu and the dean of education were in charge of the aftermath. The dean of education looked even worse than Teacher Wu. They took Zhou Bufeng to the manager's office - it was a small room without windows, with a table and a wooden chair, and a retro smell of old newspapers.

Teacher Wu pushed Zhou Bufeng's back and ordered him: "Apologize to them."

Zhou Bufeng hesitated and said, "I didn't want to take it at first..."

He was used to acting timid and trembling in front of adults, just like the little mouse named "Scabbers" in "Harry Potter". The little mouse's real identity was Peter Pettigrew. Everyone looked down on Peter. But Peter was able to step on the high and mighty Sirius Black. That was the success of the little mouse and also the victory of Pettigrew.

Zhou Bufeng was very panicked. However, that panic did not seep into his heart. He was calm and peaceful, and even able to go to the store and steal some more expensive things.

Where was the real fear? He couldn't feel it.

His fear is just acting.

Adults don't believe that children can be corrupted. His acting is pure innocence.

Teacher Wu said to the manager, "I'm sorry, this kid in our class is like a dead pig that is not afraid of boiling water. His family can't control him." As he spoke, Teacher Wu dialed Zhou Bufeng's home phone number.

The person who answered the phone was Zhou Bufeng's grandfather.

Zhou Bufeng's grandfather is already in his sixties. He had a major hip surgery last year and his blood pressure is high, so he is not prone to anger. When he received a call from his class teacher, Mr. Wu, he first expressed his anger: "Did Zhou Bufeng steal again?"

The old man slapped the armrest of the wooden sofa: "Beat him! Teacher Wu, beat him! Parents send their children to school to be educated by teachers... Don't worry about anything else, beat him! Beat him to death! This little beast!"

Teacher Wu turned on the loudspeaker, and the old man's scolding voice echoed in the narrow and cramped room.

After hearing this, the manager of the souvenir shop had a subtle expression on his face. He whispered a few words to the dean of studies and teacher Wu, but the voices were so low that Zhou Bufeng could not hear a word.

Then, at this moment, the manager suddenly said, "Little Zhou Bufeng, why did you steal? Stealing is against the law. You are a student of Experimental Primary School. Today, we will not hold you accountable for the sake of your teacher... If you commit the same offense again in the future, no one will take care of you."

Zhou Bufeng nodded desperately.

The door of this office was ajar. A cool breeze blew in through the crack. Lin Zhixia was standing at the door. She listened to the conversation between the manager, the teacher, and Zhou Bufeng. She stood there for a few minutes, thinking deeply, before she quietly moved away.

Jiang Yubai patted her shoulder.

She was startled: "What are you doing!"

Jiang Yubai asked her, "What are you doing?"

"Me?" Lin Zhixia pointed to the wooden door of the office. "I was just collecting materials for the Human Observation Diary. Tell me, why are adults always willing to give children opportunities and believe that children can correct their mistakes?"

Jiang Yubai thought for a moment and replied, "Children are ignorant." He imitated the tone that adults often use. At this moment, he seemed to no longer be a 9-year-old boy. His way of thinking briefly resonated with that of an adult man over 20 years old.

"Do you know?" Lin Zhixia told him secretly, "Children under the age of 14 are legally considered to have no criminal responsibility and do not have to bear criminal responsibility."

As she spoke, she walked out with Jiang Yubai.

The combined age of the two of them is only 18 years old, but they have already started discussing the Criminal Law and the Law on Protection of Minors. Lin Zhixia believes that the standard of the age of criminal responsibility can be adjusted appropriately, while Jiang Yubai believes that the implementation of "case law" is worth a little reference.

Since Lin Zhixia had mastered too many legal terms, Jiang Yubai chatted with her for more than ten minutes and was confused. In a state of confusion, he asked: "Lin Zhixia, can you recite the entire text of the Criminal Law?"

Lin Zhixia stopped.

Jiang Yubai also stood up straight.

The large glass tank of the aquarium stood behind them, with fish swimming in the water. Lin Zhixia was distracted by the fish and replied casually, "Not only that. In addition to the Criminal Law, I can also recite many other laws and regulations."

"When Zhou Bufeng grows up, will he violate the Criminal Law?" Jiang Yubai raised a new question.

This question combines predictions about the future, understanding of the law, and concern for Zhou Bufeng. Lin Zhixia thinks Jiang Yubai has found a good point. She and Jiang Yubai have a new topic for in-depth analysis.

Lin Zhixia confessed: "I think it's normal for Zhou Bufeng to be like this now and always steal things."

Jiang Yubai asked doubtfully, "Why?"

Lin Zhixia looked at him steadily: "What I mean is that everything Zhou Bufeng did was in line with the rules. I heard that his parents went to Shanghai to work, leaving him alone to be raised by his grandfather. I heard his grandfather talking outside the manager's office. His grandfather... doesn't have much patience. At school, teachers and classmates don't like him, and at home, no one gives him warmth and care. His current behavior is very normal."

She paused and added, "In the same way, I don't believe that a person who has gone through hardships and torture can become very kind unless he finds spiritual sustenance. Nietzsche proposed an ideal personality in "Superman", a superman who can overcome all hardships and create his own new philosophy. Ordinary people will only collapse under continuous blows. I agree with Nietzsche's point of view."

"Really?" Jiang Yubai fell into deep thought.

What he actually wanted to ask was, do you like philosophy very much?

He posed another question: "Are you Superman?"

"I'm not," Lin Zhixia shook her head vigorously. "From Nietzsche's perspective, I'm also an ordinary person. I hate frustration very much. I get sad when my mother scolds me."

Then, Lin Zhixia clapped her hands and said, "Remember the first day we met, I asked you, do humans have free will? According to Weigenal's experiment in "The Illusion of Consciousness", he came to a conclusion - 'The root cause of behavior is outside of consciousness'. The entire universe is energy conservation. What is the difference between training the human brain and training an artificial neural network? One of the differences is probably the input source and feature extraction process. By the way, "The Matrix" is one of my favorite movies."

Jiang Yubai was dizzy because of Lin Zhixia's jumping thoughts.

He stood there and summarized her point: "You mean, the entire universe is made up of mathematics, physics, and data?"

"That depends on how you define the word 'data'," Lin Zhixia replied.

The silence between them lasted for a long time.

There was a noisy sound not far away.

Uniformed aquarium staff members approached quickly with an old lady in her sixties. The old lady's name was Shen Zhaohua, and she was a professor of physical oceanography at a top university in the province. Behind Professor Shen were four doctoral students, three men and one woman, all of whom were her favorite students. She also brought with her a young graduate student who had just joined the experimental group this year.

Professor Shen Zhaohua is the laboratory director of the Ocean Research Institute of the province and the subject leader of "Atmosphere-Ocean Dynamics". Her team just published two important papers in the journals "Physical Review Letters" and "Geophysical Research Letters" this year. One of the papers on "Mixed Ocean Turbulence Distribution" was read by Lin Zhixia. She remembered Shen Zhaohua's photo and couldn't help but run a few steps with Professor Shen.

The aquarium staff said, "Professor Shen, our Aquatic Biology Research Center..."

A doctoral student interrupted, "Is that the research center you co-founded with the Institute of Aquatic Biology?"

"Yes, we have encountered a problem recently," the staff member replied, "Please ask Professor Shen to do the laboratory environment assessment this time."

Professor Shen was discussing the details of the laboratory equipment with the staff. Several students brought by Professor Shen were also whispering. One of the graduate students said, "I simulated an ocean circulation model a few days ago. The model itself is based on the Navier-Stokes equations... I used pressure correction to solve the pressure field of the Neumann boundary condition. My Poisson operator showed strong anisotropy related to the vertical coordinate axis [3]. Can you figure it out? How should I make a preprocessor?"

Jiang Yubai only heard the word "anisotropy". He repeated: "Anisotropy?"

Lin Zhixia explained to him: "Ah, this is an academic term. It means that the properties of a part or the whole of an object change in different directions."

Then, she said to the graduate student, “You can solve your problem by treating the integral result of the Poisson operator as the static water limit in the preprocessor. However, this method has a flaw and requires discretization of the entire space. This is a very common solution... When you cannot evaluate a large continuous space, you can use a discrete model to simulate the final result. If you want to establish a reference system that is itself iterable, then when preprocessing the data, use the recursive algorithm to establish a benchmark and keep it unchanged, which can greatly reduce the subsequent computational burden.”

All four doctoral students were present. They lowered their heads and looked at Lin Zhixia.

Professor Shen Zhaohua in front turned around and happened to meet Lin Zhixia's eyes.

The surroundings were filled with a strange atmosphere, which forced the doctoral students to remain quiet. For a moment, they didn't know whether they should continue to discuss the problem. No one knew whether the little girl was just guessing right or had really studied the relevant field.

Have you studied related fields?

Such descriptions and representations are, in any case, impossible for a young child to experience.

Professor Shen Zhaohua smiled. Many tourists passed by her. The joint laboratory of the aquarium and the Institute of Aquatic Biology was not far away, and everyone was waiting for her. She even took the time to ask Lin Zhixia softly, "Little boy, how old are you this year?"

Jiang Yubai answered on behalf of Lin Zhixia: "She just turned nine last month."

"Nine years old?" a doctoral student repeated dully. "Nine years old?"

Lin Zhixia nodded: "I am nine years old this year."

She stood near the glass water tank, carrying a blue Doraemon backpack and holding a small plush penguin toy in her arms. She also tied her hair into two ponytails and even used a pink strawberry hair tie.

Pink strawberry hair tie.

She is indeed a little girl who has just turned nine years old.

The contrast was too strong. The graduate student under Professor Shen suddenly felt embarrassed and felt an inexplicable sense of shame and annoyance. The graduate student took two steps back and stood behind Professor Shen.

"Little boy, can you understand the Navier-Stokes equations, Poisson operators and discrete space?" Professor Shen looked at Lin Zhixia, his eyes full of inquiry.

Professor Shen has two children, and her grandson is just 11 years old and still in primary school. Unfortunately, none of her children and grandchildren are really interested in scientific research. Her 11-year-old grandson is determined to take the civil service exam and go into politics. This lofty ambition has been encouraged and supported by the whole family.

Only Professor Shen still remembers that her grandson, when he was a child, pointed to the world map and said, "Ocean physics! Physical ocean!"

Ocean physics and physical oceanography are actually two different concepts. Now, when Professor Shen wanted to explain it to his grandson, the child refused to listen.

Lin Zhixia, who was only nine years old, attracted the attention of Professor Shen.

Lin Zhixia was surrounded by them and felt a little panicked. Her scientific world had always been single, independent, and lacked communication with the outside world. Although she had seen the contact information of countless professors and scientists on the computer of the provincial library, she had never disturbed those academic giants, nor had she ever publicly published her own opinions.

Lin Zhixia is used to reading, thinking, and recording in her mind, which is a one-way data input process. She wants to answer Professor Shen's questions, but she is reluctant to show her uniqueness in front of everyone.

She dodged his gaze and moved closer to Jiang Yubai.

Jiang Yubai asked her: "What are you afraid of?"

Lin Zhixia said stubbornly: "I didn't."

Jiang Yubai gently pushed her: "I am brave. I will pass my courage to you."

"I...I'm not a coward!" said Lin Zhixia.

She mustered up her courage and stared at Shen Zhaohua: "I understand all the concepts you mentioned. But understanding the concepts is one thing, and solving them is another. Whether the Vistoks equation has a unique solution or not, and what the limiting conditions of the unique solution are, are still undetermined... I haven't studied it in depth. But I believe that it has a unique analytical solution of smoothness, and it exists not only in the two-state laminar flow model of incompressible fluids that we are familiar with. The current mainstream solution method is to use discrete numerical simulation under known conditions, and fast Fourier transform is well known to everyone..."

The graduate student suddenly asked: "If you were asked to simply estimate the solution to a nonlinear system of equations..."

"What do you mean by simple estimation? Is it the basic content of Numerical Analysis?" Lin Zhixia asked, "Have you tried the convergence method, Aitkin accelerated convergence, and Newton's method? Show me the system of equations."

Shen Zhaohua looked at one of his doctoral students. The doctor was only 25 years old this year. He was a top student who was studying for a master's and doctoral degree. He wore a pair of black-rimmed glasses, a cotton shirt, sports pants and a windproof jacket, and looked like a good student.

He understood the deep meaning of his tutor, put away the smile on his face, looked at Lin Zhixia, and told her: "We are in a hurry now. This is my tutor's business card with our office landline number on it. If you want to visit our university laboratory, you are welcome to visit us anytime."

Lin Zhixia was stunned and didn't react.

Jiang Yubai accepted the business card on her behalf and said thank you on her behalf.

The assembly whistle of Grade 4 (1) class sounded in the restaurant, and Professor Shen and his group gradually walked away.

Jiang Yubai handed the business card to Lin Zhixia and asked her, "Do you also suddenly become dazed?"

Lin Zhixia was stubborn again: "I didn't suddenly become dazed."

Jiang Yubai asked in a probing manner: "Why didn't you say anything just now?"

Lin Zhixia clutched the business card and said, "I'm just a little surprised." She ran towards the class assembly area.

That afternoon, the tour guide took everyone to visit the Dolphin Bay in the aquarium.

This was the first time in Lin Zhixia's life that she observed dolphins up close.

She was speechless with excitement.

The dolphins' skin is very smooth, and their body structure perfectly applies fluid dynamics, allowing them to swim very fast in the water. Lin Zhixia also noticed that one dolphin was the most active, and it jumped out of the pool twice, splashing water.

Through a glass wall, Lin Zhixia stared at the dolphins.

The dolphin seemed to be staring at her as well.

What is the world like that perceived by dolphins?

If they realized that they would be trapped in the aquarium for the rest of their lives and unable to return to the sea, would they start to think... Lin Zhixia drew a dolphin on the glass, and ended today's trip to the aquarium.

The class teacher, Mr. Wu, gathered the students together and began to count the number of people. Many students were so fascinated by the dolphins and beluga whales that they could not move. Mr. Wu called out three times before the students came back to their senses.

Under the order of Teacher Wu, the students lined up in two teams in accordance with the physical education class order - one for boys and one for girls. Jiang Yubai was the last one in the boys' team, and Lin Zhixia was also the last one in the girls' team. They were inevitably lined up side by side again.

After getting on the school bus, Lin Zhixia simply sat next to Jiang Yubai.

Everyone was more or less tired after walking all day, and Lin Zhixia was no exception. She leaned against the side of her seat, closed her eyes and fell asleep in a short while.

To Jiang Yubai's left was Lin Zhixia, and to his right was squad leader Dong Sunqi. Dong Sunqi held up his digital camera and asked Jiang Yubai to help him decide which photo was the best.

"I took a picture of you," Dong Sunqi revealed, "I secretly took two pictures of you."

Jiang Yubai raised his hand and held down the camera: "Squad leader, are you taking a sneak shot of me?"

The squad leader gently advised him: "Mr. Jiang, don't get excited."

The richest man Jiang was still a little excited: "Before taking pictures, the person's consent must be obtained." He took his own portrait rights very seriously because his uncle Jiang Shaoqi had fought more than one portrait rights lawsuit. Jiang Shaoqi's various experiences taught Jiang Yubai a vivid lesson.

Most of the students around were sleeping, especially Lin Zhixia, who was sleeping soundly. She curled up in her seat like a kitten, much quieter than when she was awake.

Jiang Yubai didn't dare to speak loudly. He spoke in a very low voice. But Dong Sunqi didn't care about that at all. He laughed and showed his harvest today on the screen of his digital camera.

"Jiang Yubai! Look!" Dong Sunqi shouted, "This photo of mine makes you look super handsome! Thank me now!"

Jiang Yubai responded coldly: "I should thank my parents. They decided what I look like."

Dong Sunqi hugged Jiang Yubai's shoulders and said, "This one! You are standing together with Lin Zhixia, Ding Yan, and Gan Shuli! You are all so lively!"

Jiang Yubai's reply was inhumane: "Delete it."

Dong Sunqi was greatly surprised: "You want to delete this one too?"

"don't want."

——The person who spoke was Lin Zhixia.

Lin Zhixia was woken up by Dong Sunqi. She rubbed her eyes, hugged the plush penguin in her arms, and walked to Jiang Yubai to check the photos in the digital camera. She smiled happily: "Don't delete, don't delete! Leave the photos to me, can you leave them to me? Leave them to me."

Dong Sunqi seemed to have finally found a soulmate who appreciated him after going through so many hardships. He couldn't wait to ask, "Lin Zhixia, do you think I took a good photo?"

"Yes! Great photos!" Lin Zhixia praised him generously. "There are Lin Zhixia, Jiang Yubai, Ding Yan, and Gan Shuli. We are all good friends. Can you send the photos to me? Can you send them to my email?"

Dong Sunqi agreed immediately. Then he asked, "Lin Zhixia, do you want me to send you my selfie as well? I, Dong Sunqi, am not in this group photo. I am the class monitor, how can I be missing?"

Lin Zhixia was stunned for a moment. She was not very familiar with Dong Sunqi. She said casually: "Okay, you can post it."

Dong Sunqi slapped his thigh and said, "Okay!"

He and Lin Zhixia talked through Jiang Yubai, and neither of them noticed Jiang Yubai's expression. Jiang Yubai reached into his schoolbag with his left hand, and soon he found his digital camera.

Jiang Yubai bought the latest digital camera last week. Moreover, this digital camera uses a touch screen button, requiring the user to adjust various parameters by themselves.

Jiang Yubai just wanted to take a picture on the spot, but a huge menu box popped up on the camera screen.

He looked at the "saturation, clarity, contrast" and couldn't figure out what these things were for. He was too lazy to study and pressed a few buttons at random, not knowing where he touched, and the default language of the entire camera suddenly changed to German.

Yes, German.

Jiang Yubai seemed to be reading a wordless book.

Some German words look similar to English and French, but they are not the same. The menu bar of the digital camera completely became Jiang Yubai's blind spot. He pretended to be calm and stretched out his fingers to touch the power button. Just as he was about to use force, he suddenly heard Lin Zhixia ask him: "Can you understand German?"

Here it comes again! The challenge from the competitors has come again!

Jiang Yubai has grown a lot in the past two months. He is no longer as embarrassed as he was at the beginning.

“I’m ready to shut down,” he admitted, bluntly and truthfully.

Lin Zhixia took the digital camera from him. She lowered her head and pressed a few buttons. The camera was like a tamed beast, obediently obeying her.

She turned on the camera and asked him, "Do you want to take a picture?"

Things have come to this point, we cannot let our momentary impulse ruin our success.

Jiang Yubai answered with a broad perspective: "Yes, I want to take a photo."

Lin Zhixia handed the digital camera to Ding Yan in the front row. Ding Yan quietly raised the camera, and while the head teacher and the other two leading teachers were taking a nap, Ding Yan turned around and aimed the camera at Lin Zhixia, Jiang Yubai, and Dong Sunqi. He took a new photo of the three of them.

"This is... the return commemorative photo from the autumn trip to the aquarium!" Lin Zhixia concluded happily.

This is also the only group photo in Jiang Yubai’s personal camera.

Why did he insist on taking a photo with Lin Zhixia?

Jiang Yubai has his own understanding of this. Lin Zhixia is his competitor, and he keeps the photo of himself and his competitor to urge himself to face his own shortcomings honestly - just like American President Lincoln respected and admired his political opponent Seward.

Jiang Yubai sorted out the logic and put away the camera.

When the bus returned to the school, it was exactly 3:30 in the afternoon, and the sun was still shining brightly. The parents of the fourth graders all rushed to the school gate to pick up their children, and the driver from Jiang Yubai's family also came. Jiang Yubai walked out of the bus and walked towards the driver. Lin Zhixia shouted from a distance: "See you tomorrow!"

Jiang Yubai raised his hand, waved at her, and said loudly, "See you tomorrow!"

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