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

Chapter 103 Watch My Performance

While listening to Sun Yu's explanation, Chen Lin quickly scanned the questions on the paper.

His expression was calm as still water, but in his mind, the "little mathematician" had already begun to take effect, and his brain's processing speed soared.

The mathematical symbols and engineering terms on paper may seem difficult and obscure to ordinary people, but in his eyes, they are like clear and easy-to-understand Lego bricks.

【Mapping Model — Actual position P — actual = (— actual, y — actual) — Theoretical position Pcmd = (cmd, y — cmd) — Error components δ, δy, Ey —】

As soon as these conditions came into view, without even needing to consciously "think," a complete and logically rigorous mathematical expression emerged naturally, as if water had simply flowed into a channel.

[Optimization Problem – Discrete Measurement Data – Identifying Error Component Functions – Minimizing the Sum of Squared Prediction Errors]

When he saw the second part of the problem, a series of related mathematical tools such as least squares, polynomial fitting, and gradient descent were instantly and automatically selected and combined in his mind to form the solution process.

"—So, the core of this problem is to first establish a mapping relationship from theoretical coordinates to actual coordinates based on the error principle. Then, design an optimization algorithm to use known measurement data to deduce the error at any point on the entire worktable."

""

Sun Yu finally finished explaining his understanding of the question in detail.

He looked up at Chen Lin expectantly, wanting to see if his boss was satisfied with his work.

Then he saw the undisguised approving smile on Chen Lin's face.

"Brother Sun, well done." Chen Lin praised sincerely, "You did a really good job, stripping away all the messy engineering background and leaving only a math problem."

This compliment made Sun Yu instantly overjoyed. He scratched his head sheepishly and chuckled.

Chen Lin nodded in satisfaction and was about to find a piece of scrap paper and a pen to solve the problem in a flash when he caught a glimpse of Shen Yan standing quietly to the side.

Suddenly, she appeared, her delicate brows slightly furrowed, her clear, watery eyes fixed on the A4 paper in her hand, clearly lost in deep thought.

Chen Lin's heart stirred, and a playful impulse arose within him.

He handed the question paper to Shen Yan with a smile and asked, "So, top student, interested in trying it out?"

Upon hearing this, Shen Yan was slightly taken aback, and then a barely perceptible blush appeared on her fair cheeks.

She hesitated for a moment, then gently shook her head, a hint of honest helplessness flashing in her clear eyes.

"Hmm—I can roughly think of the knowledge points that need to be used, such as using a rotation matrix to handle perpendicularity error, and the later optimization problem should use the least squares method for fitting—"

Her voice was soft, but her thinking was exceptionally clear. As expected of a top student in the School of Mathematics, she had already accurately grasped several key directions for solving the problem after just one glance at the question.

"But—" she changed the subject, her tone tinged with regret, "the next part involves how to choose the most suitable function model to identify error components, and how to design an optimization algorithm with the fastest convergence speed. There are many things I haven't learned yet, and even if I have, I haven't mastered them deeply enough."

She looked up at Chen Lin, her eyes filled with no jealousy or resentment, only a pure yearning for higher knowledge and a long-standing expectation.

Sun Yu didn't show any extra expression. He simply turned around silently, pulled out a stack of snow-white A4 paper from an unopened box of printing paper next to him, and took out a brand new ballpoint pen from his pencil case, placing it on the table in front of Chen Lin.

Regarding Chen Lin's ability to solve any mathematical problem instantly, the two of them have long since gone from being shocked and numb to taking it for granted, and even vaguely regarding it as a kind of "performance" worth looking forward to.

Seeing the two of them like this, Chen Lin found it quite amusing.

He said no more, slammed the question paper on the table, picked up his pen, and leaned comfortably back in the brand-new ergonomic chair.

"Alright."

He flexed his wrist, making a few crisp "click" sounds.

"Then you'll have to watch."

As soon as he finished speaking, he bent down and gently placed the tip of his pen on the snow-white draft paper.

The office fell silent instantly.

Sun Yu and Shen Yan both subconsciously held their breath, their eyes closely following the movement of Chen Lin's pen tip.

At first, the two were able to keep up with Chen Lin's train of thought.

He first wrote down a series of basic coordinate transformation formulas in a smooth and flowing manner, linking the theoretical command position of the machine tool with the actual measured position. This step was something that even a math major with a solid foundation could understand.

But then, the style changed.

Chen Lin's writing speed did not slow down as the problem became more in-depth; on the contrary, it became faster and faster!

Complex mathematical symbols and dazzling matrix operations flowed fluently from his pen.

Those error component functions that Sun Yu believed required extensive research and repeated deliberation to determine were written down directly by Chen Lin without hesitation.

Just five minutes later, Sun Yu had completely given up thinking and was utterly dumbfounded.

He now felt as if he was watching not a problem-solving process, but a thoroughly enjoyable calligraphy performance.

Even though I couldn't understand what it said at all, I just thought it was awesome!

Shen Yan, on the other hand, lasted longer than Sun Yu.

With her extraordinary mathematical talent and solid theoretical foundation, she could barely recognize some familiar theoretical frameworks in the formulas written by Chen Lin.

But as time went on, the expression on her face gradually changed from initial focus and contemplation to deep shock and bewilderment.

Chen Lin's problem-solving methods were completely beyond her comprehension.

He did not adhere to any specific model given in the question, but instead wrote out three completely different error function model construction schemes side by side.

What made Shen Yan's scalp tingle the most was the third option.

Chen Lin actually built a small neural network model right there and then!

He not only clearly wrote out the network structure and activation function, but also gave a concise analysis of the advantages and disadvantages of different optimizers, and finally gave the closed-form solution of the optimal fitting coefficient!

That's an almost unreasonable, dimensional-reducing solution!

As Chen Lin's pen tip drew the last symbol to mark the end in the lower right corner of the draft paper, the clock on the wall had exactly fifteen minutes had passed.

"Done."

Chen Lin tossed his pen onto the table, stretched, and leaned back in his comfortable ergonomic chair.

He recalled the process of solving the problem and silently commented to himself.

This question isn't that difficult.

The most difficult question on each of the five professional course final exams that Professor Gu Ming set before should have been more difficult than this question.

He remembers clearly that there was one question on each test paper that was significantly more difficult than the others, taking him at least twenty minutes to answer.

It seems that Genesis is a fairly legitimate company.

Chen Lin recalled seeing many netizens complaining online that some small workshops were particularly cunning, liking to package the technical problems their company encountered into interview questions, and then freeload off the interviewees' intellectual work.

The question given by Genesis is of moderate difficulty. It can effectively test the level of the solver without involving their real core secrets. It is indeed a proper test question.