A genius? I just love studying.

Chapter 241: Treasure
Lin Hao had completely given up these past few days. He slept in his dorm for a whole day and night until he was so hungry that he ordered takeout. After ordering a huge bowl of his favorite dry pot ribs, he went back to bed.

However, he had been lying in bed for a day and a night without falling asleep. After tossing and turning for a while, he sat up, went to the computer, and opened the League of Legends icon, which he hadn't opened for a long time.

However, clicking through led to a long update progress bar, and the massive installation package felt like a mountain against the backdrop of the school's slow internet speed.

"What a poop on you!"

With a curse, Lin Hao ended the update and turned on his phone.

Timmy.

As the game's voice rang out, Lin Hao quickly became immersed in the wonderful game world, completely forgetting all his troubles. Only then did he realize how much excitement he had missed during his years of doctoral studies.

Three days passed in the blink of an eye.
Lin Hao, who had been playing games in his dorm room for three days, was startled awake by a phone call.
What have you been doing these past few days?

"Come to the lab right away. The School of Mathematics is preparing to send a top expert to assist us with modeling. You'll be in charge of coordinating with them."

The voice of mentor Zhou Zhen came through the microphone.

"A math genius?"

Lin Hao, who had originally resigned himself to his fate, suddenly felt that there was still a chance to salvage the situation. However, he was still very skeptical. He himself had a double degree in mathematics and chemistry. He could proudly say that among chemistry students, his mathematics was top-notch, and among mathematics students, his chemistry was top-notch.

The problem they are facing is extremely complex, involving multiple interdisciplinary fields, and he does not believe that a simple math expert can solve it.

However, with his assistance, there might actually be a sliver of hope.

"Professor Chen Hui has been sent by the School of Mathematics this time. You need to come to the lab right away." Zhou Zhen hung up the phone after saying that, looking very busy.

"What, Chen Shen?"

Lin Hao jolted awake, sat up in bed, and without paying any attention to his four teammates who were fighting alone, quit the game, put away his phone, quickly washed up on the balcony, put on his shoes, and ran towards the laboratory.

When Lin Hao arrived at the laboratory, it was empty.

"?"

Lin Hao looked around, unsure of what was going on. He guessed that he had arrived too early. After thinking for a moment, he returned to his seat, intending to organize some materials so that he could appear as professional as possible when Chen Shen arrived.

"what?"

He had just sat down in his seat when he suddenly noticed a stack of draft paper on his desk.

He was certain that when he left the lab a few days ago, this pile of things wasn't on his desk, and the handwriting on it wasn't his.

Soon, a cold smile appeared on his face. The formula on the folded draft paper was actually a multi-scale turbulence model, which was exactly the work he had been doing before.

I wonder which junior student put it on my desk. Are they going to teach me modeling?

Lin Hao smiled and shook his head. He had a degree in mathematics. If even he couldn't handle the model, how could his juniors?

"Absurd! The inhibitory factor is close to zero, which means that the small particles do not aggregate at all."

Looking at the formula on the draft paper, Lin Hao shook his head.

Suddenly, Lin Hao's pupils contracted sharply. He suddenly remembered something and quickly opened the electron microscope scan image from a few days ago to check the distribution of AlO in the bearing steel. He saw hundreds of 20-50nm nano-inclusions scattered like stardust, and the cluster structure predicted by the traditional model did not exist at all.

With trembling hands, he implanted the inhibitor into the code, converting the contents of the first draft into code. The simulated distribution on the screen matched the electron microscope image by 98.3%.

Lin Hao suddenly felt a spasm in his stomach, covered his mouth, and rushed into the bathroom.

Wow!
Lin Hao vomited up all the Burger King he had eaten the night before. The huge emotional upheaval, coupled with the days of relentless, vengeful all-nighters, caused his body to send out severe warning signals.

He realized that his five-year doctoral career was based on the wrong premise, with all experimental designs assuming that the Saffman-Turner nucleus was effective.

Leaning against the pool and looking at his haggard face in the mirror, Lin Hao smiled, which quickly blossomed into a wild laugh.

Hahahaha...

The bathroom was filled with Lin Hao's loud laughter.

He got it.

Turbulence is not a continuous medium; it is a fractional-order chaotic system!
Zhou Zhen walked into the laboratory, surrounded by Lin Hao's loud laughter.

He frowned, his mood somewhat heavy. He had indeed put too much pressure on the child these past few days. He hesitated, wondering whether he should give the child a break and hand over the cooperation project with Baosteel to other students.

"Teacher, you've arrived?!"

Lin Hao's face was pale, but his expression was excited, and his face seemed to be radiating light.

"Xiaolin, if you feel tired, why don't you take a few days off?"

"It's really too difficult to achieve results on this project; that's the teacher's problem."

Zhou Zhen sighed softly. He had high hopes for Lin Hao, which was why he gave him such a difficult task. But now it seemed that his high hopes had ruined the boy.

"Take a few days off first. Let your junior sister take over this project. Come see me next week, and I'll give you another research topic. You still have more than half a year, so there's plenty of time!"

Zhou Zhen assured him, "You will definitely graduate, don't worry too much."

"No, teacher, we're almost there!"

Lin Hao quickly walked to his seat, picked up the stack of draft paper, and handed it to Zhou Zhen.

"You did it?"

Zhou Zhen's expression changed drastically. He looked at the draft paper as if he had found a treasure, but when he caught sight of the fractal derivative symbol λ1.37 on the student's paper, his voice stopped abruptly. "This is... the Hausdorff dimension of the intermittent turbulence?"

He snatched the manuscript and rushed to the server, pulling up a database of inclusions in continuously cast billets accumulated over ten years. When the new model output matched the statistical distribution across the entire plant for the first time, he slumped down in front of the control panel, staring at the KS test p-value of 0.92 on the screen.

The most devastating disruption comes from the prediction of chain-like TiN. Traditional models show 7 particles clustered together, electron microscopy observations show 8, while Lin Hao's model outputs 8.17±0.33 particles.

He recalled the theory of chain inclusion formation presented by island nation scholars at an international conference, which he had dismissed as a "low-probability event." At that moment, the screen curves dissected his arrogance like a scalpel.

He continued studying the next formula on the draft paper.

"βnew=βSTexp(τη/τc)?"

"Where did this formula come from?"

Zhou Zhen looked at his beloved student, and he already had a premonition that the two of them would become famous in the field of materials science.

"Teacher, I didn't create this model."

Lin Hao told the truth, shattering the teacher's dream, "Not you?"

"Who is that?"

"I do not know either."

Lin Hao also wanted to know the answer to this question. "When I arrived today, there was already this stack of draft paper on the table." "I understand!"

"It must be Chen Hui!"

Zhou Zhen's eyes lit up. Wang Qiming had told him that he had brought Chen Hui to the lab once, but they had returned before seeing them.

"Let's go to the School of Mathematics."

Regardless of whether it was Chen Hui or not, he couldn't understand the formulas on the draft paper anymore and needed to go to the mathematics department to find someone to interpret them. Of course, it would be best if he could find the owner of the folded draft paper.

"Professor Zhou."

However, just as they reached the door, Wang Qiming came running up, panting, "I'm sorry, Professor Zhou, something came up, and Professor Chen might not be able to make it today."

"His student was riding an electric scooter on campus when he was hit by a vehicle from outside the campus. Professor Chen has taken his student to the hospital."

Wang Qiming explained.

"Is it seriously injured?"

"It's not very serious, just some superficial injuries."

“I suggested to the school a long time ago that they not allow vehicles from outside the school to enter the campus. They drive very recklessly. I am even afraid to drive in the urban area of ​​Jiangcheng. Unfortunately, the school did not listen. I did not expect that this would happen.”

Zhou Zhen snorted softly, clearly harboring deep resentment.

Wang Qiming shook his head, "You can't say that. Ultimately, only a few people drive recklessly. You can't generalize and condemn an ​​entire group of people."

"By the way, Dean Wang, did Professor Chen leave this stack of draft paper for us?"

Zhou Zhen didn't want to dwell on this topic any longer, so he quickly handed over the draft paper he was holding.

"Chen Hui?"

Wang Qiming took the draft paper, completely bewildered.

"Didn't you come to the lab that day? Did Professor Chen see an opportunity and solve this problem along the way?" Zhou Zhen asked hopefully.

"Probably not."

Wang Qiming recalled, "We only stayed in the lab for a few minutes at the time, so we probably didn't have time to do so many things."

Wang Qiming could only vaguely understand the contents of the draft paper. He didn't understand chemistry, and after years of working in administration, he had almost forgotten his math knowledge. Chen Hui had only written a simplified process, so Wang Qiming couldn't understand it at all. However, he could still judge the difficulty of folding the draft paper.

Zhou Zhen also shook his head. It couldn't be Professor Chen; no one could solve this problem in just a few minutes.

"Could Dean Wang please introduce us to a professor who specializes in Navier-Stokes equations and can help us decipher the contents of this pile of draft papers?"

He only completed the verification of a small portion of the contents of this stack of draft paper, but it gave a glimpse into the problem. The contents of the folded draft paper might completely solve their problem, which would be a huge treasure for them!

"Direction of the NS equations?"

Wang Qiming frowned.

If it were Yanbei University, they would definitely be able to find such people. For example, Wei Shen, who is currently very popular on the internet, studies in this field. But it seems that Jiangcheng University really can't find them.

The Navier-Stokes equations are already an unpopular topic, and the School of Mathematics at Jiangcheng University is only of average quality. After going through the list in his mind, he really couldn't find many professors who were good at Navier-Stokes equations.

Chen Hui certainly counts, but he definitely can't help today.

"I remember now, there really is such a person in the School of Mathematics at Jiangcheng University!"

Wang Qiming's eyes lit up. "Come with me."

In a modest office on the top floor of the administration building at the School of Mathematics, Jiangcheng University, an elderly man with white hair is engrossed in reading the latest issue of the "Annals of Mathematics." Wu Wenyue, who is over seventy years old, still insists on spending eight hours a day on academic research.

Boom boom boom!
There was a knock on the door. Wu Wenyue looked up at the doorway and saw Wang Qiming, the vice dean of the School of Mathematics, standing outside.

This is also an unwritten rule in the School of Mathematics: as long as the door is closed, you can disturb someone. However, if the other person closes the door, knocking on it and interrupting their inspiration is considered very impolite, even if they don't hold a grudge.

"come in."

Wu Wenyue nodded to Wang Qiming.

"Professor Wu, we have a mathematical question about the direction of the Navier-Stokes equations that we would like to ask you."

Wang Qiming got straight to the point, and Zhou Zhen, being quite perceptive, stepped forward and handed him the draft paper. He had previously heard that there was a retired professor in the School of Mathematics who, although not well-known, had profound expertise in the Navier-Stokes equations.

Unfortunately, it's too difficult to achieve results in this field, but that doesn't mean the professor lacks ability.

"Oh?"

Wu Wenyue unfolded the draft paper with his well-defined fingers, his reading glasses sliding down to his nose. Seeing how much Zhou Zhen cherished it, he also became somewhat interested in the stack of draft paper.

The turbulence model on the first page made him nod: "Brilliant, but still within expectations."

But as soon as he turned to the second page, he frowned. "Nonsense!"

How can a Poisson process be written in drift form?

But when his gaze swept over the footnote *Ref: Ann.Math 2023, Lemma 2.4*, his pupils suddenly contracted.

He spun around in his chair, took out a bound volume of the *Annals of Mathematics* from the bookshelf behind him, and quickly came across Lemma 2.4 in Volume 198, 2023: For any unfit process γt, there exists a measure Q such that…

Wu Wenyue drew a deep line under the words "non-adaptive" in red ink: "Traditional Girsanov theory requires γt to adapt to the filtration flow, but this has actually broken through that?"

Combining this lemma with the current draft paper, Wu Wenyue's eyes suddenly lit up. Coincidentally, he had also participated in Baosteel's project years ago, and he was very familiar with these formulas. He also understood their value.

Even Wang Qiming was unaware of these matters; his finding him was purely accidental.

"Xiao Wang, where did these draft papers come from?"

Wu Wenyue asked excitedly, "The generalization of the Girsanov theorem for the measure transformation of unfit processes by the owner of these draft papers directly rewrote the cornerstone of stochastic analysis. In 1999, he proved that 'the measure transformation of unfit processes necessarily leads to singularities.' The Doleans-Dade exponent construction on this draft paper, with the product term ∏(1+(λ_s-1)ΔN_s)·e^{-(λ_s-1)νds}, dissolved the singularity like mathematical magic!"
While asking Wang Qiming questions, Wu Wenyue was not idle either. He quickly did calculations on the blank draft paper next to him.

当精炼中氩气流量从50NL/min→150NL/min阶跃变化，对应λt从1→3跳变，这个模型预测的夹杂物数量误差仅 0.3%，而传统模型偏差达 240%！

This model not only represents a mathematical breakthrough, but also has significant practical implications for clean steel models. Such talent must be carefully cultivated.

Wang Qiming looked at Zhou Zhen.

Zhou Zhen then looked at Lin Hao.

"I don't know either, it just appeared on my desk this morning."

"Can't you check the security footage?"

Wu Wenyue stared in shock at the two young men in front of him, momentarily speechless. How could these young men be less intelligent than an old man like him?

(End of this chapter)