Deep Space Fleet

After reviewing the first few questions, Professor Wang Zhong glanced at Zhang Yuan, and said slowly: "The handwriting is not bad, very neat. Unlike some people who use a lot of computers, they can't even write words. Like climbing."

Xu Yunjing, who was standing aside, blushed, she couldn't be talking about her, could she?

Won't!

It must be someone else.

Wang Zhong didn't care about Xu Yunjing's expression. In his perception, it was a student's duty to answer the first few simple questions correctly.

Looking again, the questions of medium difficulty were also answered correctly.

The proof is not bad, but the way of thinking is a bit strange, and it is a bit different from the normal way...

All in all it is correct.

Wang Zhong took a long breath, looked up at Zhang Yuan, and the anger in his heart gradually disappeared.

Take a closer look, this young man actually looks pretty good, quite handsome, a bit like his father when he was young.

The days and nights when teachers and students struggled together more than 30 years ago have passed for a long time, and they seem to be close at hand.

How time flies!

Old people are always a little nostalgic. At this point in the review of the test paper, he thought to himself, since these questions have been done correctly and the young man's level is still a little bit, he will stop investigating whether you have gone through the back door.

There are 500,000 people, and it is impossible for everyone to be a natural saint. After all, there are some residual habits on the earth, which can only be corrected slowly in the future.

If there is no such thing as human sophistication, it will be too cold and insecure; but if it becomes a human society and bureaucracy prevails, it must be a catastrophe for a civilization.

Read on.

Hey, the difficult ones in the back...

That's right!

Not bad, very good!

These questions, even some smarter students, may not be able to solve them correctly.

Wang Zhong's stern face began to melt, which was a sign that his mood began to improve.

You are wrong, young man. At this level, there is no need to go through the back door. It is not easy for an astronaut to take the exam.

Seeing Professor Wang's relaxed expression, Xu Yunjing also breathed a sigh of relief, and swallowed the "test paper wrong" that lingered in her throat for a long time.

Since this guy has done the right thing, I shouldn't need to say anything more, right? who cares!

The last one...

Well, this...

A thin layer of sweat emerged from Professor Wang's head, and his expression became serious.

Xu Yunjing watched curiously from the side, the proof of this question was really hard to understand. Moreover, during the exam, she was abused terribly, and she didn't do it at all.

"Did you do it yourself?" Wang Zhong couldn't help asking.

In fact, he knew in his heart that the questions were all created by himself, and it was impossible to find the answers online.

"Yes." Zhang Yuan replied.

"Xu Yunjing, do you understand?"

"ah?"

Xu Yunjing was taken aback for a moment, when he was called suddenly, his head was in a mess.

"During your exam, it seems that you didn't answer this question."

She blushed and concealed herself for a long time before uttering two words.

"No."

"Zhang Yuan, come and talk to her about the way of solving the problem."

Zhang Yuan thought for a while and said: "This constructed L function has the following properties... The natural inverse functor that converts the category of sliding projective varieties into H will be decomposed by any special cohomology theory... "

Xu Yunjing pretended to be listening carefully, and at the same time looked at this little junior whom she had just met.

When it comes to mathematical thinking, excellent mathematicians will master several methods.

The first method: If a question is difficult and there is no way to solve it directly, then you can try to think about its equivalence.

To give a simple example, Fermat's last theorem and Taniyama Shimura's conjecture are a pair of equivalence problems. Mathematician Wiles proved the famous Fermat's last theorem by proving the Taniyama-Shimura conjecture.

The second method: If this question is difficult and there is no way to solve the equivalence problem, then you can also try to think about a broader problem than it.

What does that mean? Still take Fermat's last theorem as an example, the "abc conjecture" is a stronger and broader conjecture than Fermat's last theorem. If the abc conjecture is true, then Fermat's last law is scum, and it can be proved in five sentences.

Easier said than done.

The vast majority of people do the questions, just doing the questions simply, without understanding the profound mathematical essence, and drawing inferences from one instance, not everyone can do it.

Zhang Yuan explained for a long time, Professor Wang nodded in satisfaction and said, "Do you understand?"

Xu Yunjing was stunned for a moment, then replied in a low voice: "That... I should understand."

"Do you really understand?"

Wang Zhong frowned, and said slowly: "Then repeat it again."

"..."

She blushed, and felt that ten thousand grass and mud horses were passing by in her heart, so she could only stick out her tongue in great distress, "...I don't quite understand. I just understand a general idea."

According to Xu Yunjing's very reluctant understanding, the proof of the last question uses a very cutting-edge L function, which is equivalent to driving a bomber and suddenly dropping a nuclear bomb!

Directly blow up the topic...

Not only was this question blown into Feng Shui, but the same type of questions were all solved at once.

This is a typical high-dimensional crushing method, full of violent beauty.

Wang Zhong frowned, knowing that the graduate student he was leading was not actually a genius. After all, Xisha University is not the first two universities, and it is inevitable that the quality of students is poor.

"It's fine if you don't understand, and no one will blame you. Don't pretend to understand in the future."

He turned his head and said to Zhang Yuan: "It's a good proof idea, but it's a bit of a fuss. Have you read through those documents? The motivic-L function, this is the most cutting-edge mathematics."

Zhang Yuan said embarrassingly: "I just read some introductions, and cutting-edge mathematics is still too difficult for me to understand. But I know the properties of these functions, so I just used them."

Did you take it by hand?

Xu Yunjing murmured in her heart: Why can't I use it conveniently?

Professor Wang couldn't help but smiled, and said: "Use the most cutting-edge mathematical theory to solve a math problem in the test paper? Can you use the theorems that you don't understand? You just believe in other people's research results like this. What's wrong?"

This is also his usual style, anyway, he never praises others...

But in fact, my heart is full of appreciation.

What is needed for scientific research?

It is innovation!

It's not the kind of guy who follows the steps and follows the instructions!

How many people are very good at the topic, but they are scumbags when they actually do scientific research. Because they can only circle around the existing rules and regulations. When I heard cutting-edge mathematics, there was only one reaction: I can’t do it, I can’t understand it, it’s a bible!

They didn't even dare to pay attention, and they didn't have the energy to explore the unknown and explore the fog!

"What you said is..." Zhang Yuan felt that it was really wrong for him to do so.

Wang Zhong's face became a little milder, and he didn't dare to attack randomly, which destroyed the young man's self-confidence: "As for learning, you should be more practical. Although you can't make mistakes in this way, it is not practical enough. However, if you come up with the topic, It’s better than nothing, so I’ll give you 99 points for this test paper.”

Zhang Yuan nodded knowingly and admitted his mistake: "I'm sorry, these are all self-study courses. I deeply understand my lack of knowledge and my foundation is not solid, so I want to study for further study..."

"Self-taught..."

Wang Zhong came back to his senses, a word suddenly choked in his throat.

what's the situation?

Suddenly remembered, this guy is just an undergraduate!

...