A genius? I just love studying.
Chapter 201 unbelievable
Chapter 201 unbelievable
Wang Qiming strolled through the campus, slowly walking towards the fifth teaching building's lecture hall.
He's been quite busy since the start of the semester, but since today is Chen Hui's first class, he decided to go and check it out.
As soon as he arrived at the entrance of the Fifth Teaching Building, he saw Yuan Xinyi walking from another direction. The two smiled at each other and then walked together toward the same destination.
"I wonder if that little guy can adapt."
Wang Qiming sighed softly. He wasn't worried about Chen Hui's knowledge, but Chen Hui was still too young. He was indeed a little worried about letting such a young person be a teacher.
Yuan Xinyi, however, was not so worried. "It's normal to not adapt at first, but you should trust him. He will adapt quickly and do very well. I never worry about that."
“Teaching is beneficial to a scholar.”
Yuan Xinyi has a deep understanding of this.
In early spring, sunlight streamed through the carved glass windows of the lecture hall in Building 5 of Jiangcheng University, casting slanted rays onto the blackboard. Chen Hui stood beside the podium, the blackboard behind him already covered with densely packed functional space symbols.
"Today we stand on the edge of a new continent in the kingdom of mathematics."
Chen Hui turned around and wrote "Banach Space" on the blackboard. The screeching sound of chalk against the blackboard silenced the whispers.
He suddenly paused, his gaze sweeping over the hundred or so freshmen below the stage, his eyes vacant as if they had traveled through time. "Just like when Banach was thinking at the Lviv train station in 1906—when you stare at this symbol, do you feel the pulsating mathematical heartbeat in infinite-dimensional space?"
Chloe sat in the back row, watching Chen Hui speaking eloquently on the podium. Her eyes were also somewhat unfocused, as if she had traveled through space and saw nothing but Chen Hui's figure in front of her.
The students, who had initially felt a bit strange because of Chen Hui's special identity, suddenly calmed down. They were also influenced by Chen Hui and unconsciously followed his lead, immersing themselves in the Banach space.
This extreme passion for something can naturally inspire others.
Lin Xiaoman from Class 2 of the Applied Learning Group raised her hand and asked, "Teacher, is this space related to the feature space in machine learning?"
"Good question!"
Chen Hui lightly tapped the air with his fingertip: "Imagine you are processing high-dimensional image data, where each pixel is a vector in Hilbert space—but we need to use a sharper tool to dissect their essence."
Chen Hui operated the teaching computer on the podium and pulled up a fluid mechanics simulation diagram from a USB drive: "Look, the solution space of the Navier-Stokes equations is a non-compact Banach space, which is exactly the starting point for our study of turbulence problems."
Chen Hui did not follow the textbook's order in his lessons. Instead, he went about his own business, expanding on each point as he went along, using it as a springboard to paint a broader picture for his students. Then he would return to the initial point and explain it to them step by step, ensuring they thoroughly understood the fundamental concepts.
This might not be so friendly to the students, as they may not be able to understand every point Chen Hui makes, nor can they fully appreciate the charm of the world Chen Hui describes.
It might even feel very strenuous.
But once they truly immerse themselves in it, they will be immersed in this wondrous and magnificent world alongside Chen Hui.
This will undoubtedly plant a seed in their hearts, and when they want to delve deeper into this area someday, that seed will take root, sprout, and blossom into something unexpectedly wonderful.
Wang Qiming, who was standing outside the classroom, nodded in relief upon seeing this.
He was initially worried that Chen Hui would not be able to adapt to the transition from student to teacher, but now it seems that Chen Hui has adapted very well. In fact, it can be said that Chen Hui is a natural teacher!
He could recall every knowledge point with ease, and his profound and solid foundation made him feel somewhat ashamed.
Chen Hui's teaching methods may still be somewhat immature, but his passion for mathematics is what students should learn most, and it is far more useful than the knowledge in books.
He believed that having Chen Hui teach the course was a wise choice.
……
University of Bonn, Bonn, Germany
Schultz, holding a cup of coffee, hurried toward his office.
"Hey Pete, I have a project coming up..."
Downstairs at the office building, Isabel greeted him warmly. She happened to have a suitable project and wanted to discuss it with Schultz.
However, Schultz didn't even glance at her, and continued walking towards his office as if he hadn't noticed her at all.
Isabel wasn't annoyed. Schultz was usually a very easy-going person, and she knew that he was like this when he was researching some important issue, and it wasn't directed at her.
She was just a little curious: had Schultz made some major breakthrough in computer-aided proof?
As an economist who has won the Global Economics Prize and is also a member of the Executive Board of the European Central Bank, Isabelle is a very influential figure at the University of Bonn. Usually, others come to her to collaborate on projects, but unexpectedly, Schulz ignored her invitation.
But mathematicians have that kind of pride. Generally speaking, doing mathematical research doesn't require many resources, so there's no need to curry favor with them.
Furthermore, Schultz's position at the University of Bonn is too special, and he also has a close collaboration with Microsoft, so he certainly doesn't need to be subservient to her.
So instead of being annoyed, she was somewhat looking forward to what amazing results Schultz would achieve.
Schultz walked into the office, sat down, and picked up a paper he had already read most of. As he flipped through it, he made some deductions on the draft paper next to him.
time flies,
In the blink of an eye, it was already pitch black.
Schultz finally turned to the last page of the paper.
"Langlands dual group, topological response..."
After reading the paper, Schultz felt somewhat unsatisfied, much like after watching a great movie, he felt a sense of emptiness at the end, as if he had lost something, and wished it would never end.
The content of this paper is not complicated, but every proof and every derivation formula is full of ingenuity, imaginative and unconventional.
Only a young mathematician could possess such imagination; the entire paper, like Chen Hui, is full of the unique vitality of youth.
Breathtaking!
"genius!"
"He truly is a genius!"
Undoubtedly, this was the content of the email attachment that Chen Hui sent him, and it took him several days to read it all.
Of course, this kind of study is not just about understanding it. He also made many improvements based on this paper, such as converting the mathematical model into a computer model, designing generator and discriminator networks, and loss functions.
The generator takes the target fractional Chern number Chpm/n as input and outputs candidate material structures, while the discriminator uses the analytical properties of the overmodal form L function L(f, s) to determine the validity of the generated structure.
The principle of GAN (Generative Adversarial Network) is that simple, but to achieve the effect of generating material structures, the original algorithm and model are extremely complex. Not to mention the design, there are probably no more than three hundred people in the world who can understand it.
Fortunately, Schultz not only understood it, but he was also one of the best at understanding it, and he was able to convert Chen Hui's model into an adversarial generative network.
L = αLtopo + βnmRess = 1/L(f, s)
I raised my hand and wrote down the last equation on the draft paper; this is the generator's loss function!
Schultz's eyes gleamed; he seemed to already see this model dominating the materials science world. Knowing the significance of cutting-edge technology, he understood the implications.
If they succeed, the world will be transformed!
"Everything is ready. Next, we need enough data to train this model."
After calming his excitement, Schultz first tidied up his draft, replied to Chen Hui's email, and then made a phone call. "Hey bro, any exciting discoveries this time?"
Mura yawned on the other end of the phone and asked listlessly.
Microsoft's headquarters are located in Redmond, Washington, which is nine hours ahead of Bonn. It is currently 10 p.m. at the University of Bonn, which is exactly the time for lunch break in Redmond.
"Have you ever thought that we could use generative networks to train a model to generate any material we want, such as superconductors, heat dissipation materials, or high-temperature resistant materials...?"
Having dealt with businessmen before, Schultz had also learned the trick of making empty promises.
"Hey bro, I'm still half asleep, but I think you should be more awake."
As the core founder and technical leader of the Lean project, Mulla is quite academically accomplished. Schultz's idea is indeed good, but unrealistic and more suited to science fiction than reality.
The principle of generative adversarial networks is simple, but "no one can design such a mathematical model, believe me, Schultz, not even you."
"Let's continue with the liquid tensor experiment; it's a very promising project..."
"I already have such a mathematical model!"
Schultz's resolute voice came through, "I've sent the paper to your email. It's the result of my collaboration with a brilliant Chinese mathematician."
"Huaxia?"
Mura frowned slightly.
Perhaps it was a stereotype, but upon hearing the place name, Mura subconsciously became suspicious.
"Hey, Mura, finish reading the paper first."
Schultz was somewhat unhappy with his partner's reaction.
"OKOKOK!"
Mura snapped out of her thoughts, got out of bed, turned on her computer, downloaded the paper from her email, and began browsing it on the computer screen by moving her hands across the mousepad.
He still prefers electronic documents to traditional scholars.
However, after watching for only a few minutes, Mura looked away, her eyes filled with blankness, as if chrysanthemums were spinning around her.
It took him a while to regain his composure.
He couldn't understand this thing at all...
Without struggling, he scrolled directly to the last few pages of the document, which was over three hundred pages long, and saw the generative adversarial network and loss function designed by Schultz. He understood this much better and roughly grasped Schultz's ideas, but there were still many parts he didn't understand.
"Hey friend, to be honest, I don't understand this thing you sent me. I believe in your math skills, but I still have to say, it sounds too unscientific."
Before the call ended, Mura shook his head. He wouldn't do anything he wasn't sure of, and he wasn't prepared to try anything he couldn't understand, whether it was true or false.
"Believe me, I vouch for it with my academic reputation!"
Schultz continued, "The opportunity to change the world is right in front of you, are you going to refuse it?"
"I don't want to change the world, I just want to make it a little more interesting, in a way that I can control, and that's enough."
"The tide of the times has already arrived, and those caught in it can never feel it. You can't control the tide of the times, but some people can. You can only go with the flow and act accordingly!"
Schultz interrupted Mura, "Do you want to be the one left stranded on the beach?"
"Tell me what you need me to do, if it's not too difficult."
Mura spoke up, not because he was persuaded by Schultz, but because of Schultz's academic reputation. He was willing to trust Schultz, or rather, he was willing to invest, even with huge risks.
"Computing power, enough computing power!"
Schultz seemed to have anticipated this outcome.
Chen Hui's model was indeed too complex, so even he spent several days converting it into a computer-readable version.
Therefore, to train this model, you need sufficient computing power; otherwise, the model simply cannot run.
"We also have ample and sufficiently skilled personnel!"
Schultz made an outrageous demand, wanting to program the model he had transformed, which was not something an ordinary programmer could do, nor something he could accomplish alone.
After all, Chen Hui's mathematical model only had seventy-odd pages, and the remaining two hundred-odd pages were models he had converted. To complete the programming, he would probably need at least three months by himself, which was simply an unacceptable waste.
"I can try my best to coordinate, but I can't guarantee success."
Mura felt immense pressure. "Perhaps you could come to headquarters in person and persuade the investors."
The computing power Schultz needs is certainly not cheap, but the manpower capable of doing this job is an invaluable resource.
"Mura, I believe in you!"
"I have more important things to do."
Schultz rejected the offer.
To train a model, in addition to sufficient computing power, it also needs enough data to train the model and finally bring the model to a good state to output the optimal result.
He also needs to make a trip to the Max Planck Institute, where the Eremets team has achieved great success in the study of hydride superconductivity and is a very suitable collaborator.
"Ok."
Mura hesitated for a moment, but still agreed to Schultz's request. However, he was still curious, "May I ask who your Chinese partner is?"
"Chen Hui!"
"Chen Hui?"
Mulla had collaborated with Schultz for many years and paid close attention to the forefront of mathematics, so he had certainly heard of the name.
"So, he really solved the existence problem of the Yang-Mills equation?"
"Of course, otherwise why do you think I would cooperate with him?"
"For a Chinese person to achieve such a result is truly..."
"unbelievable!"
(End of this chapter)
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