Because Senior Brother Liu is responsible for the project, Qiao Yu often goes to learn something about the laboratory this week.

Then I discovered that there were a lot of complaints about the laboratory being too metaphysical, and it was really all kinds of monsters and monsters.

For example, when various experimental conditions are consistent, the success rate is higher in the morning than in the afternoon; the pot reaction on rainy days always feels different from that on sunny days; growing molybdenum disulfide using chemical vapor deposition requires constant replacement of people, otherwise it will not grow.

come out……

This is enough to show that there are many unknown stories that continue to happen in the laboratory, so when Qiao Yu thinks about it, it is not just the problem Liu Hao encountered, but also more problems.

For example, how did these laboratory metaphysics come about? Is there any way to transform metaphysics into science?

For this reason, he really read a lot of review literature on chemistry during this period, and then his thinking became limited.

The paper he found on arXiv is also a review paper. The author is signed by Albert Luo, a mechanical engineering major at Southern Illinois University Edwardsville.

Qiao Yu had never heard of this university, but from the name it could be seen that the professor was also an overseas Chinese.

The main topic of this paper is to introduce a generalized modal axiom system into complex dynamic systems and explore the possibility of modal geometry optimization to solve key problems in nonlinear systems.

There is a passage in the paper that Qiao Yu likes deeply.

"The complexity of the behavior of dynamic systems such as chemical reaction networks, material self-assembly, etc. makes it difficult for traditional research methods to analyze high-dimensional nonlinear behavior. The introduction of the generalized modal axiom system provides the possibility to apply geometric tools to the study of dynamic systems.

Map dynamic system states to modal space, use modal distance and modal convolution to quantify the relationship between different variables and capture functional hot spots, thereby providing a unified description from dynamic behavior to geometric patterns..."

Really, after seeing this paper, Qiao Yu's mind was suddenly activated.

Why didn't he think that his system of mathematical axioms could be applied in practical applications?

Once his mind was opened, Qiao Yu's ideas really sprung up like mushrooms after a rain.

After all, the person in the world who best understands how this axiom system works is Qiao Yu himself.

Although he designed this axiom system to solve number theory problems, this framework can obviously solve more than just number theory problems.

Specific to the difficulties Liu Hao encountered in this project, the mutual coupling of multi-dimensional variables and the weak forces between molecules have a significant impact on performance, but they are manifested as nonlinearity and the complexity of parameter optimization...

After mapping, the modal distance is matched with the existing data to analyze the nonlinear effects of different molecular interactions on gel properties.

The parameter problem can be defined as finding the area with the largest modal density in the modal space, which represents the best experimental conditions.

Mapping the self-healing behavior of materials into periodic distribution on the modal path, finding hotspot areas with low repair efficiency...

Does it seem feasible in theory?

With this idea, Qiao Yu no longer bothered to study the paper sent by Senior Brother Chen. Instead, he directly opened the software again and began to design the laboratory mathematical model.

At present, the three most important parameter states in the laboratory, reaction time, molecular interaction amount, and material response strength, are represented by α, β, and γ respectively.

Then the mapping formula is r=(αβ,γ).

Add a weighting factor to it and give a specific value after analyzing the laboratory results.

Then directly applying the definition of modal distance: d_M(r_1,r_2) can be directly expressed as:

The next step is to evaluate the cumulative contribution of nonlinear effects. This part needs to be operated by modal convolution. The same formula is first set, which can be directly obtained:

Through this formula to analyze high-density areas in space, the objective function of the optimization goal can finally be obtained:

Obviously, the function X in the optimization formula represents the laboratory parameters to be optimized.

Of course this is just a general formula.

After spending several hours pushing through the formula, Qiao Yu thought about his idea carefully.

He feels that there is no problem in mathematics, but he is not sure yet whether he can guide Senior Brother Liu on his subject.

After all, this is an idea, but fortunately he still has a lot of data packaged from the laboratory.

The only problem is that this involves a lot of complex calculations. It seems that both he and Professor Lu believe that the current amount of data in Liu Hao's research group is not enough.

But the "not enough" mentioned here actually means that in the eyes of mathematicians, the amount of data that can reflect certain patterns is not enough, rather than the total amount of data being insufficient. In fact, the total amount of data accumulated in half a year is still a lot.

Now Qiao Yu's way of dealing with the problem, explained in jargon, is to find the most representative low-dimensional projection in the high-dimensional modal space, reducing the dependence on the whole data. And trying to find potential patterns from these fragmented data.

.

By minimizing the value of d-m, we can find the path with the strongest regularity, guide the subsequent experimental design according to the modal hot spots, and supplement the key parameter range data from new laboratory data.

This method is actually a bit clumsy. Although supercomputing can be used, it requires someone who understands this plan to adjust each weight parameter based on existing data.

It's not difficult, but it takes too much time. If Qiao Yu had just kept his head down and just done it before, after all, he would make money if he did it well.

But now Qiao Yu felt that he had passed the stage where he needed to spend his own time to earn hard-earned money. So after thinking for a while, he simply called Liu Hao.

"Qiao Yu, did you call me? Do you have any clues about the matter that I asked you to do?"

A heavy sense of expectation can be heard in the tone, from which we can judge that the situation in the laboratory this week is not good, and there must be no particularly good results yet.

This is actually good news.

Because if good news comes out from the laboratory, his role seems not to be that great.

"It's not there yet, but I have a very powerful idea. The problem now is that I can't continue on my own, so I need someone to help.

This candidate needs to have a relatively in-depth understanding of my generalized modal number theory system and various concepts within the framework, and be proficient in functional analysis. Do you have anyone to recommend?"

Qiao Yu asked directly.

Obviously, this question did not cause any trouble to Senior Brother Liu opposite him, and he answered quickly.

"Well...if I had good recommendations, I wouldn't stay in the laboratory. Let's put it this way, the math scores of the people in the research group are probably average.

If you want to talk about calculus, linear algebra, statistics, etc., everyone is pretty good at it. But when it comes to functionals and your number theory content... let's not joke.

I don’t know about others, but if I could learn these things well, I would have taken the postgraduate entrance examination in mathematics during my master’s degree. It would be absolutely impossible for me to continue to major in chemistry.”

Well, it wasn’t beyond Qiao Yu’s expectation.

After all, chemistry does not require excellent math scores. What you usually need to calculate are probably molecular structure and chemical reaction rates. No more advanced mathematical knowledge is required.

After all, chemistry is recognized as one of the four major majors. If the requirements for mathematics are too high, it may really shut out the last batch of people who are passionate about this profession.

Qiao Yu took the opportunity to give his opinion: "Well, then I can find a good candidate, but this requires giving him the data from your laboratory. Isn't that a big problem?"

"Ah? Is it from this school or from another school?"

Qiao Yu replied: "I have a senior brother, do you know him? Chen Zhuoyang is also a student of Director Tian. He just graduated at the beginning of the year and went to Tianjin University, but recently he is planning to switch to Nanjing University next door."

"Oh, it's the one from the other paper, right? That should be no problem. Hey, actually speaking, our data has nothing to keep secret, and it's of no use anyway.

But there is no other way. You also know that for this kind of horizontal project, the contract stipulates that the laboratory data theoretically belongs to Party A. So it is best to sign a confidentiality agreement."

Qiao Yu could tell that Liu Hao was embarrassed.

But he can understand it.

Director Tian had previously told him that this kind of horizontal project was a collaboration between an enterprise and a school laboratory, and the division of labor between Party A and Party B was very clear.

And because Party A is generally fully funded, there are clear regulations on the division of rights and responsibilities and data ownership.

This is also the reason why the results of many horizontal experiments cannot be published casually in papers, but then again, this answer is quite good.

So Qiao Yu simply said: "No problem, do you want to sign an electronic contract or do you need me, Senior Brother Chen, to come to school?"

"Just sign an electronic contract and file it. No need for people to come. They are just helping our laboratory, so I'm sorry to bother Senior Brother Chen too much."

Qiao Yu immediately replied: "That's no problem, but Senior Brother Liu, the method I used this time is a bit new, so the method I used may need to be kept secret first. Can you understand it?"

"Well...of course, I can definitely understand this."

Qiao Yu continued: "In addition, my next plan is that after Senior Brother Chen has processed the existing data, he also needs your laboratory to conduct project experiments in full accordance with my requirements, and then give us all the data. This and your other

Is there no problem with the side?"

"Don't worry, as long as it can help us find clues as soon as possible, these are all small things. By the way, we have some data this week. Do we need to send it to you?"

Qiao Yu replied: "This is not needed for the time being. I guess the data on hand is enough for the time being. Let's wait until the early results are calculated. We may need some more targeted data later. We may need to add some experimental conditions."

Liu Hao on the other side asked: "Um... Qiao Yu, how long will it take for your new method to be effective?"

"That depends on Senior Brother Chen's work efficiency. If he is fast, I think you may need to provide some new data for verification early next month.

If everything goes well, effective operational guidance will probably be given in one or two months at most. But this will require some computing power support."

Qiao Yu gave an estimated time.

"There is no problem with the computing power. Party A has provided us with a dedicated computing power system, how about I give you the address and account number directly?"

"No, I will push Chen Zhuoyang's WeChat account to you later. You can just give it to Senior Brother Chen directly. He is mainly responsible for our calculations here.

Let’s just say this for now. I’ll send you a WeChat message after I’ve made an agreement with Senior Brother Chen, and then you can communicate.”

"Okay, okay, okay, then I won't waste your time."

…

Qiao Yu hung up the phone and immediately called Chen Zhuoyang.

At this time, Qiao Yu was thinking more than just helping Liu Hao solve their problem.

Because he suddenly thought of a way to make money.

If this method is really effective, he can charge consulting fees in the future.
To be continued...