Top Student: Wasteland Technology Invasion

Lin Chuan quickly received the exam paper.

After a quick glance at all the questions, Lin Chuan quickly concluded that he could get a perfect score on this test, given that he had already completed three volumes of "Mathematical Analysis" in the past week in the wasteland world and had now reached level 2 in mathematics.

Not a penny less.

Whether it's the multiple-choice questions, fill-in-the-blank questions, or the essay questions, none of them will cause him any trouble.

Immediately, Lin Chuan began to write down his answers.

The first multiple-choice question had very misleading options, testing the convergence and divergence of generalized integrals. Although it was a bit complicated to calculate, Lin Chuan thought it was a free point.

The second calculation problem involves many calculation techniques such as parametric integration and improper integration, but it is still a free point question because it is based on the same principles.

……

Soon, Lin Chuan finished the last challenging question.

This is a proof problem about the uniform convergence of Fourier series, and it requires deriving a certain equality.

This question was a little difficult for Lin Chuan.

But after only a few seconds of hesitation, he picked up his pen and wrote down the answers on the test paper.

After finishing all the questions, Lin Chuan glanced at the time.

Only 45 minutes have passed.

"As expected, the problems in 'Mathematical Analysis II' were still too easy."

Although you can earn learning coins by attending classes, it's not worth wasting your time on them.

"How about we ask Professor Mao to let us only take the midterm and final exams?"

"Also, now that you've finished answering, would you like to hand in your paper early?"

No one in the class has handed in their papers yet, and even Xie Zhixing, who handed in his paper halfway through the Qiushi Class entrance test, is still checking his.

"Forget it, I'd rather not stand out."

"Leave the pretentious act of handing in your paper halfway through to those who actually need it."

The waiting time was a bit boring, so Lin Chuan simply picked up a piece of draft paper and, following the clues of the last question, began to write down a formula he had learned from reading "Fourier Analysis" in the wasteland world last night.

The Passevar constant.

"Perhaps you could try deriving it yourself to deepen your understanding."

It's perfect for killing time.

In Euclidean space, the square of a vector's norm is equal to the sum of the squares of its coordinates under an orthogonal basis. Regarding completeness...

With an idea in mind, Lin Chuan flipped the draft paper over and began to write.

In fact, after finishing all the questions in just over forty minutes, he barely used any scratch paper.

He could mentally calculate the answers to many simple analytical questions on the exam paper.

The reason Lin Chuan is flipping it over now is simply because he wants a complete draft paper.

Looking at the neatly arranged mathematical operator symbols on the exam paper is a pleasant thing in itself.

"Swish, swish, swish!"

Even without the aid of scientific intuition skills, Lin Chuan found that his thinking in academics seemed to be gradually opening up.

This must be the change that advancing to level 2 in mathematics brought him.

Of course, during the calculation process, he also found that the derivation of this Passevar equation seemed to be really complicated.

Time slowly passed.

From the outside, Lin Chuan, like the other nineteen students in the Qiushi Class, was immersed in the "Mathematical Analysis II" exam paper and was working on the questions.

Professor Mao stepped down from the podium and began his rounds.

As a fourth-level full professor, Professor Mao has a very high level of expertise in the field of analysis.

He was very satisfied with the exam paper he had prepared himself.

It's not particularly difficult, but getting a high score is extremely challenging.

Even Ruan Sheng, who had the best grades in the class, only scored 96 points. Professor Mao thought that Xie Zhixing, one of the freshmen, might be able to get over 90 points on this test, and the others would be able to pass.

He thought this was a good idea, as it allowed the students in the class to relax and get motivated, while also letting them know that even in "Mathematical Analysis II," there are many things they can learn.

Professor Mao walked through the classroom, looking at the answers the students had written on their papers, and they were basically as he had expected.

He stopped looking and continued walking.

As Professor Mao strolled around, he reached the last row and gained a general understanding of the students' abilities. He also realized that, apart from Xie Zhixing, the others were still a bit short of being "absent from class".

Therefore, Professor Mao was too lazy to look at each student's exam paper one by one.

As he was about to return to the podium to remind everyone that time was almost up, he caught a glimpse of Lin Chuan scribbling on a draft paper out of the corner of his eye.

Lin Chuan had just arrived at the Qiushi Class. Professor Mao had heard of him, and despite the room being mostly filled with students who had participated in competitions, Professor Mao still had a good impression of Lin Chuan, a high school graduate.

I just hope he can study math well in the Qiushi Class.

but……

What is Lin Chuan writing?

Professor Mao narrowed his eyes, looking at the draft paper in Lin Chuan's hand with some disbelief.

The draft paper was neatly covered with all sorts of formulas, including some rather complex calculations on Fourier series, orthogonal bases, and dense subspaces.

"This is... the Passevar constant?"

Professor Mao was stunned for a moment. Was this question on the exam he had set?

Professor Mao quickly realized that Lin Chuan had likely finished the exam and was trying to deduce the equation.

So he quickly glanced at Lin Chuan's exam paper.

Sure enough, the test paper was filled with answers.

A quick scan revealed that almost everything was correct!

In such a short time, Lin Chuan had already finished all the test questions and even had the leisure to derive complex formulas.

Professor Mao took another look at Lin Chuan's exam paper.

It must be said that Lin Chuan answered the last few big questions very well.

Professor Mao couldn't help but nod and secretly admire him. At this moment, he was certain that Lin Chuan was bored after answering all the questions and didn't want to hand in his paper early, so he was silently working out the formulas in his seat.

"The method used to derive Passevar's constant is not the one commonly found in textbooks."

"Good lad, you've actually started teaching yourself Fourier analysis and have even mastered quite a few advanced techniques. Not bad."

Among the undergraduates taught by Professor Mao, only a handful have achieved what Lin Chuan has.

Even the IMO gold medalists from previous Qiushi classes might not be able to achieve this.

In terms of the depth of mathematical research, Lin Chuan has even surpassed Xie Zhixing, Ruan Sheng, and others.

"Another genius is about to emerge from the Qiushi Class!"

Professor Mao nodded with satisfaction.

Seeing Lin Chuan solemnly draw two horizontal lines on the draft paper, signifying the completion of the derivation of the invariant equation, Professor Mao did not linger and strode towards the podium.

Lin Chuan had just recovered from his focused state of deducing the equations; he hadn't even noticed that someone had been standing behind him.

Putting down his pen, Lin Chuan looked at the draft paper filled with arithmetic symbols and nodded. "Elegant."

"I told you math wasn't that hard; you can learn it without any special skills!"

"Furthermore, this derivation also earned me 3 learning coins and 1 math experience point."

"A pretty good result."

"I can try it more often when I have time."