They're already in university, and the primary school system is only just starting out?

Chapter 107: A glimmer of hope

Tao Wei and Luo Qin both focused their attention on Chen Lin, with a hint of nervousness and anticipation.

Fan Jianjun leaned back in his chair and let out a long sigh.

He has discussed this issue with countless domestic experts and scholars, but has yet to obtain a satisfactory answer.

Sun Yu sat to the side, completely bewildered. He recognized each word individually, but when put together, he had no idea what it meant.

All he could do was see that Chen Lin didn't seem to want to refuse, so he turned around very tactfully, took a stack of brand-new A4 draft paper and a ballpoint pen from his workstation, and placed them in front of Chen Lin.

Shen Yan, on the other hand, took out her notebook as soon as Fan Jianjun started explaining, and quickly took notes while listening. Her clear eyes shone with extreme focus and contemplation.

This problem was beyond her syllabus, but the optimization theory and differential geometry involved made her feel as if she had touched a completely new and broader mathematical world.

Chen Lin listened quietly to Fan Jianjun's explanation, then glanced down at the dense formulas and charts on Luo Qin's computer. Throughout the entire process, his face remained expressionless and perfectly calm.

In my mind, the "Little Mathematician" was already at full power.

B-spline curves, S-shaped velocity curves, nonlinear programming (NLP), quadratic constrained quadratic programming (QCQP) — countless related mathematical tools and theoretical models emerge like a tide, and are then rapidly screened, reorganized, and optimized by the system with unimaginable efficiency, ultimately constructing a logically perfect framework.

He looked up and gave Fan Jianjun a polite smile.

"I see."

Then, he picked up the pen on the table and said to Tao Wei and his group, "My writing process may take a while, so you can take a break first."

"————"

The entire conference table fell into a deathly silence.

Tao Wei's smile froze.

Luo Qin's mouth was slightly open, and he forgot to close it.

Even Fan Jianjun, who had just finished explaining the problem and thought he could relax a little, suddenly sat up straight in his chair, his eyes wide open and his face full of disbelief.

"Wait—wait!" Fan Jianjun's voice was stammering. "President Chen, you understand now?"

Is there anything else I need to ask? For example, the specific forms of the dynamic constraints? Or the details of the path parameterization?

He could hardly believe his ears.

It took him almost five minutes just to explain the background and constraints of this problem.

If it were any expert, even a big shot, who were encountering this field for the first time, it would take at least half an hour or even longer to digest the information and ask questions, to thoroughly understand every detail of the problem before they dared to say that they "understood".

But this young man in front of me said he understood after only listening to it once?

This is beyond genius; this is simply monstrous!

Faced with the three people's shocked expressions, as if they had seen a ghost, Chen Lin simply smiled, his tone remaining as calm and collected as ever.

"Engineer Fan's explanation was very clear, and he mentioned every key point. I have no further questions."

"

After saying that, he ignored the three of them, lowered his head, and focused all his attention on the snow-white draft paper in front of him.

Tao Wei, Fan Jianjun, and Luo Qin looked at each other, all seeing the same shock and bewilderment in each other's eyes. In the end, Tao Wei was the first to react. He gave Fan Jianjun and Luo Qin a look, and the three of them stood up from their seats at the same time. Then, they tiptoed behind Chen Lin, forming a semi-circular circle to watch.

Even Shen Yan on the other side couldn't suppress her curiosity and quietly walked over, standing on the outermost edge of the circle, tiptoeing, and trying hard to look inside.

All four people held their breath, their eyes fixed on every movement of his pen tip.

Chen Lin's pen tip touched the paper.

"rustle----"

The crisp, rhythmic sound of writing became the only sound in the entire space.

At first, Fan Jianjun's face still held a scrutinizing look.

When he saw Chen Lin choose to use non-uniform rational B-splines (NURBS) to parameterize the toolpath without hesitation, he nodded in agreement.

This is standard practice in the industry. Although it's not surprising, it shows that the other party is indeed knowledgeable and didn't do anything reckless.

But then, his brows furrowed slightly.

Because when dealing with geometric constraints, Chen Lin did not adopt the conventional and simple method of directly using discrete points as interpolation points or approximation points, but instead introduced an auxiliary variable based on "chord length parameterization", which cleverly transformed the discrete geometric constraints into a quadratic programming problem for NURBS control points.

That was a brilliant move!

Fan Jianjun's gaze began to turn serious.

As Chen Lin began to tackle the most crucial and difficult aspect of the entire problem—the "dynamic joint constraints"—Fan Jianjun's breathing unconsciously became rapid.

He saw that Chen Lin did not try to separate path planning and velocity planning and solve them step by step like his team did, but from the beginning, he regarded the two as a unified whole.

He directly defined all the geometric parameters of the path (NURBS control points) and the time parameters of the motion law (critical time nodes of the S-shaped velocity curve) as decision variables for the final optimization problem!

Next, using the chain rule and knowledge of differential geometry, he derived a series of highly coupled and complex nonlinear inequalities from all the constraints of velocity, acceleration, and jerk using these decision variables!

Upon seeing this, Fan Jianjun's eyes widened in disbelief.

He felt as if his brain had been struck by lightning. Many things that had troubled him for a long time and that he couldn't understand suddenly became clear after seeing Chen Lin's brand-new mathematical modeling method!

So that's how it can be done!

When Chen Lin finished writing the last constraint, completely constructing the entire problem into a large-scale nonlinear programming (NLP) model, and provided a clear approach on how to efficiently solve it using the sequential quadratic programming (SQP) algorithm —

Fan Jianjun was completely stunned.

He stood there, motionless.

Finally, Chen Lin's pen stopped.

He tidied up the three sheets of draft paper filled with writing, gently placed them on the table, then stretched and let out a long sigh.

The entire process took thirty-six minutes.

"Alright." He turned around and smiled at the somewhat bewildered crowd behind him.

However, before he could say another word...

"Whoosh!"

A figure flashed by, and Fan Jianjun suddenly rushed forward, grabbed the few sheets of draft paper on the table, held them in his hands, stepped aside, and greedily and carefully read them word by word from beginning to end.

He was muttering to himself, gesturing incessantly with his fingers on the paper, completely absorbed in a state of near-madness.

Tao Wei and Luo Qin were at a loss for words when they saw their tech guru in such a disheveled state.

Chen Lin was also a little confused. He looked at Fan Jianjun and asked uncertainly, "Engineer Fan, what's wrong? Is there something wrong with what I wrote?"

Fan Jianjun did not answer him.

He simply read those three pieces of paper a second time, carefully and meticulously from beginning to end.

When he finished reading the last word, he slowly raised his head, and his eyes, which were bloodshot from long hours in front of the computer, were surprisingly filled with a layer of glistening tears.

His eyes reddened.

"Engineer Fan?" Chen Lin was genuinely panicked now. What was going on?

Tao Wei also sensed something was wrong and quickly stepped forward, patting his old buddy on the shoulder: "Old Fan, what's wrong with you—"

"I----"

Fan Jianjun opened his mouth, his Adam's apple bobbed violently, and his voice was tinged with an uncontrollable sob.

"I'm just...too excited!"

He raised his hand and vigorously wiped his eyes with the rough back of his hand. His bloodshot eyes were fixed on Chen Lin, and his tone was filled with indescribable excitement and emotion.

"Mr. Chen, do you know how many years we tech people have struggled to bring our country's industrial software up to the level of those foreign giants?"

"We've pulled countless all-nighters and put in so much effort—but in the end, a single technological barrier has kept us firmly outside!"

"today----"

He waved the few sheets of draft paper in his hand forcefully, his voice rising eight octaves with excitement, echoing throughout the entire office.

"Finally, we see hope!"

Seeing that Engineer Fan was crying because he was so excited, Chen Lin secretly breathed a sigh of relief.

For him, the standard for judging the difficulty of a problem has always been very simple, even crude: it is simply to see how long it takes him to write out the solution.

Judging from this metric, the problem encountered by Genesis is indeed quite difficult.

Seeing that Fan Jianjun was still agitated and wouldn't calm down anytime soon, Tao Wei, the shrewd and tactful vice president, immediately stepped in to smooth things over.

He stepped forward and patted Lao Fan on the shoulder, half-reassuring and half-joking: "Lao Fan, calm down, calm down, don't get too excited."

As he spoke, he turned to Chen Lin and gave him a slightly apologetic smile: "Mr. Chen, don't mind me. Old Fan is just a tech fanatic, a very honest person. I didn't mean anything by it."

"I understand, I understand." Chen Lin waved his hand with a smile, indicating that he didn't mind at all.

Then, Tao Wei took out his phone, walked to the office window, and made a call.

He was clearly reporting the situation to senior management at the group headquarters. Although his voice was not loud, Chen Lin could still vaguely hear words like "completely feasible," "unique idea," and "far beyond expectations."

The entire call lasted less than five minutes and was quick and efficient.

When Tao Wei hung up the phone and walked back to the table, his expression was full of undisguised admiration and decisiveness.

"Mr. Chen," he said to Chen Lin sincerely, "we have conducted an initial internal evaluation of your proposal, and there are absolutely no problems with it! We at Creation Era are willing to pay a service fee of one million yuan for this technical solution."

As soon as he finished speaking, Huang Yiyi, as if by magic, gently pushed a pre-prepared formal technical service contract to the center of the table.

Seeing this, Tao Wei couldn't help but look at the young female assistant with even greater respect, secretly praising her professionalism.

He picked up a pen, glanced through the contract details, and then signed his name directly at the representative's office. He then instructed Luo Qin to contact the group's finance department immediately to expedite the remittance.

The whole process was smooth and efficient, without any unnecessary delays.

Less than ten minutes later, Huang Yiyi glanced down, then looked up at Chen Lin and reported in a calm but joyful tone: "President Chen, the company account has received one million yuan in technical service fees from Chuangjiyuan Group."

One million!

Chen Lin's mood instantly became extremely pleasant.

He leaned back in the comfortable ergonomic chair and couldn't help but think: Running a company is so much better than my old small-scale personal consulting business!

In fact, Chen Lin knew very well that for a company of Chuangjiyuan's size, the true value of the algorithm optimization framework he provided was far more than one million.

The reason he only quoted this price was because he had already given Tao Wei the figure through Sun Yu. In business, integrity is paramount, and one cannot change their mind at the last minute.

Secondly, based on Sun Yu's preliminary research and Fan Jianjun's explanation, he also understands that having only a top-level algorithm framework is not enough.

There is a long gap between theory and reality that requires countless engineers to bridge with code and sweat.

There are still a series of complex software engineering challenges that Chuangjiyuan needs to overcome on its own in order to truly achieve a breakthrough in domestically produced high-end industrial software.

In today's complex environment and context, Chen Lin is happy to use his abilities to help domestic companies solve some of the so-called "bottleneck" high-tech problems.

As a leading enterprise in the domestic CNC machine tool industry, if Chuangjiyuan achieves a breakthrough in its technology in the future, and Tao Wei and others help promote it within the industry, the GG effect will probably be even more intense than spending hundreds of thousands or millions to launch a GG campaign.

This deal is a sure thing, you can't lose money.

Once the matter was settled, Tao Wei and his group immediately got up to take their leave.

It's clear they're extremely anxious, wishing they could sprout wings and fly back to Dongguan immediately to organize a team overnight and begin technical research using the new framework provided by Chen Lin.

Chen Lin wanted to extend his hospitality by taking them to the airport, but Tao Wei politely declined with a smile.

"Mr. Chen, please don't stand on ceremony with us!" Tao Wei gripped Chen Lin's hand firmly, his attitude resolute. "You first went to the airport to pick us up, and then helped us solve such a complicated problem. You must be exhausted and need to rest! We can take a taxi ourselves, please stay!"

Upon hearing this, Chen Lin felt both amused and exasperated.

But he could only let them be and escorted the three of them to the gate of Yannan University.