Chapter 462: Oh, It Turned Out to Be Sauce Purple (Three Watches Asking for a Monthly Pass)
"Algorithm, I understand!" Xiao Junlong was talented, and he quickly realized the great way from Witten's prompts.
"Xiao, come on. Witten smiled and handed the paper cup to Xiao Junlong.
Xiao Junlong performed his finger flick magic skill and poked a hole in the bottom of the paper cup.
Some men are accustomed to leaving the nail cover of their little thumb long, such as Xiao Junlong, the formation of this habit is mainly for scientific research considerations, and it is more convenient to poke a paper cup or something.
Pressing the water outlet switch with his left hand, Xiao Junlong held a paper cup in his right hand to catch water in the air.
Under the action of the hydrodynamic system of the water dispenser and the dual system of the earth's gravity, the water column penetrates the hole at the bottom of the paper cup and flows into the trough of the water dispenser.
"Through this experiment, we observed that when the water velocity remains constant, no matter what additional external force I apply to the paper cup to cause it to deform, there is only one final result, that is, all the water in the paper cup will leak out. Xiao Junlong looked at Witten and said admiringly: "Professor Witten is a true master, he uses the simplest experiments to reveal the essence of the most difficult questions. ”
Witten kept a mysterious smile and didn't say anything, and Shen Qi asked, "So what, Dr. Xiao?"
Xiao Junlong finished the simple experiment, came to the whiteboard, took a water-based pen and wrote a few lines of formula on the whiteboard: "There are many kinds of finite element algorithms that meet the velocity and pressure conditions, and through the enlightenment of this experiment, we can preliminarily formulate that the local Gaussian integral algorithm is an effective way to solve the general solution of N-S equations with universal significance." Therefore, the next step should focus on the local Gaussian integral algorithm. ”
"Well, Dr. Shaw's point is feasible. Zhou Yu'an also thought so, but his reaction was a little slower, allowing Xiao Junlong to show off his perception first.
Shen Qi was noncommittal, he asked Witten, "What do you think, Edward?"
Witten came to the water dispenser, crouched down, and made an unexpected move.
Witten tilted his neck and opened his mouth, aiming his mouth at the water outlet, and at the same time pressed the water outlet switch with his hand.
The water leaked down and into Witten's mouth.
"Walter?" Zhou Yu'an was dumbfounded.
"What kind of operation is this?" Xiao Junlong frowned, puzzled.
"Is this ......" Zhou Yu'an suddenly had an epiphany, he trembled because of excessive excitement: "I remember when I was studying for my PhD in Princeton, Professor Figari drank too much one night, and he mentioned to me an incredible algorithm, the infinite flow algorithm of partial differential equations!"
Xiao Junlong fell into deep thought: "Infinite flow, do you want to know the meaning of life?"
Zhou Yu'an: "Don't talk too far about Lao Xiao, you don't know what infinite flow is! In a word, it is an accurate and unrestricted algorithm for solving the unstable parameters of the N-S equation of the large Reynolds number!"
"Is there really such an algorithm? But this sentence itself seems to be a contradiction!" Xiao Junlong looked unconvinced, his Yan Da doctoral supervisor had never taught him any infinite flow algorithms, and he had never heard of them.
At this time, Witten finished the experimental demonstration, he stood up, nodded to Zhou Yu'an, and said: "I have discussed with Professor Figari the infinite flow algorithm of partial differential equations, which only exists in a very small academic circle and has not been publicly reported. ”
Witten turned to look at Shen Qi: "Qi, you should know this algorithm, it is original to Princeton." ”
Shen Qi said: "Yes, I know and have studied it. But the problem is that the infinite flow algorithm of partial differential equations is similar to the N-S equation, and it has applicability, but it has never been completely proven to be correct, which is why it has not been publicly reported. In other words, if you use an infinite flow algorithm to solve the N-S equation, it is equivalent to using one hypothesis to test another. We don't need to assume now, what we need is 'Euclid's axioms'. ”
Euclid's scholarly contributions, several people present memorized it like a stream.
Euclid used ten axioms to derive 23 definitions and 467 propositions, thus constructing the classical and immortal Euclidean geometric system.
An axiom is a common-sense cognition, a basic proposition that does not need to be proved.
Theories based on assumptions cannot be widely recognized by the academic community, and Shen Qi needs an impeccable "axiom", and he can't make up ten points, even if he can get one.
Therefore, the infinite flow algorithm that proves the partial differential equation is a prerequisite for solving the N-S equation. Do you agree with me?" Shen Qi asked the crowd.
Witten: "Agreed. ”
Zhou Yu'an and Xiao Junlong: "Completely agree." ”
"Then do you have a specific idea?" Zhou Yu'an asked Shen Qi.
"I'm going to do an experiment, too. Shen Qi walked to the water dispenser, in today's academic exchange meeting, this water dispenser is the undisputed protagonist.
"Huh!" Shen Qi let out a clear roar, and directly pulled out the pure water bucket, pulling out the mountain and covering the world.
Zhou Yu'an was in the bunker, Xiao Junlong was stunned, and even Witten showed a puzzled expression.
Shen Qi pressed the water outlet switch, and a trickle gushed out of the water outlet, and after gushing for a while, the flow was stopped.
"This trick is called drawing wages from the bottom of the kettle. Shen Qi said in Chinese, and said to Witten in English: "If the fire under the pot is extinguished, then the food in the pot will not be cooked anyway." The most effective way to prove the infinite flow algorithm of partial differential equations should be the direct increment method, or the reduction method. This needs further research, but we at least have direction. ”
Witten's eyes lit up: "Good idea, just do it!"
The four men spent a whole day in the conference room, doing several experiments, and finally came to an agreement that to solve the general solution of the N-S equation, it was first necessary to prove the proposition of the infinite flow algorithm of the partial differential equation. The proof of infinite stream algorithm should start from the direct increment method or the reduction method, which will be very complex and computationally intensive. The later error analysis will be based on a huge amount of data, which is difficult for ordinary computers to handle, and requires the use of supercomputing.
In any case, it is better to have a clear direction than to have two eyes in the dark.
Communication is very important, and some issues need to be discussed collectively, and the highlights of each person's academic thinking are integrated to form a strong collective wisdom.
In fact, before Witten came to China, Shen Qi's original solution to the N-S equation was the local Gaussian integral method + multi-scale increment method, which was a grade higher than the algorithm that Xiao Junlong realized by piercing the paper cup, but there was still a troublesome problem, that is, the instability of the algorithm.
Shen Qi was also chatting and discussing with Witten and the others, and realized a trick to draw a salary from the bottom of the kettle.
Witten is a top master of mathematical algorithms, and he once created a system of mathematical algorithms in order to better explain string theory, so he won the Fields Medal.
Next, Shen Qi proposed that the N-S equation project enter the substantive stage of advancement with the assistance of Witten to design the algorithm framework and assisted by Zhou Yuan and Xiao Junlong.
The N-S equation project is a clear direction, laying the tone of the main attack, and led by Witten, Shen Qi is coordinated behind the scenes, Zhou Yu'an, Xiao Junlong is the center's most capable mathematics generals, this is an elite division with excellent style.
Witten may be able to help a little bit in the project of mathematics unification, but Witten has limited energy at this age, so don't expect the old man to blossom everywhere.
At about four o'clock in the afternoon, almost five o'clock, Shen Qi drove to the gate of the number of courtyards and waited for Ou Ye to get off work.
"There is no general in his hands, he is really strong as a pioneer. Shen Qi sat in the car and sighed, the unification of mathematics is very difficult, not that Li Zhenqiang's level is not good, Li Zhenqiang is also a fierce general, Li Zhenqiang is equivalent to Liao Hua in the Three Kingdoms era, and the force value is close to 80.
In addition to "Liaohua", Shen Qi also needs at least one super fierce general at the level of "Five Tiger Generals" with a force value of more than 95.
"There's no doubt that my wife is this super fierce guy. "Shen Qi knows Ou Ye very well, and in more than three months, Ou Ye should be born.
During pregnancy and breastfeeding, it is difficult for Ouye to go into battle.
"I'll fill in my wife's number theory hole first, and when she can work normally, I'll replace her in battle. Shen Qi waited in the car until 5:15, and Ou Ye hadn't come out yet.
Ou Ye usually gets off work on time, leaving the office at five o'clock and arriving at the door of the courtyard before five o'clock.
"There won't be anything, right?" Shen Qi was nervous, the father-to-be at this time was sensitive.
Shen Qi turned off the engine and got out of the car, entered the courtyard, and came to the door of Ou Ye's office with a familiar car.
"You're so stupid!" said Ouye's voice from the office.
It's okay, my wife is fine, what about overtime...... Shen Qi was relieved, he saw through the crack in the door that Ou Ye was educating a little girl, educating all the little girls to cry, and he looked so pitiful.