Su Lu enjoyed this feeling very much at this time, and he liked mathematics more and more.

The girl sitting next to him gave up completely, and didn't want to copy the notes anymore. She took out her mobile phone and took a picture of the blackboard, and then posted a circle of friends with the words: "Someone asked me: What did I do if I was killed?" Can’t do it? Now I want to answer him: math problem tt.”

Then I saw that not long after I sent it, a friend gave me a second like and a second comment, showing a smile, not rushing to reply, put down the phone reservedly, and then glanced aside.

When I saw this, I was immediately dismayed. I had been staring at the blackboard before, and I really ignored that there was a handsome guy sitting next to me!

Fortunately, she is not a slut, she had to get in touch before going up, glanced quietly, then turned her head and whispered to the girlfriends next to her: "Wow, look at the boy on my left! Sisters, my heart is moved."

"Let me be healthy!"

"I want Kangkang too!"

The girls were already bored, and when they heard a handsome guy watching, they immediately became excited, and then all of them stretched out their heads to look at Su Lu, while keeping their movements as small as possible, or pretending to turn their heads inadvertently, so that Su Lu would not be surprised. will notice them.

Women and men are both human beings, and their attitudes towards the opposite sex are actually the same.

When men see a woman of Herui Goode, their eyes will follow in unison. For the same reason, the same is true for women, but women will be more reserved.

However, these girls thought that their movements were so small that it would be impossible for Su Lu to notice them, but in fact, when they spoke, Su Lu heard them all.

The corner of his mouth twitched, and he stretched out his hand to pinch his nose. This sense of hearing became stronger, which has advantages and disadvantages, just like the sense of smell. Every day when he returned to the dormitory, he could always smell the smell of sweat and feet that permeated the air.

So although he heard it, he could only pretend that he didn't hear it. Otherwise, if he turned his head to look, these girls would be shy. If his appearance makes these girls not even shy, then It was his turn to be embarrassed.

Su Lu believed in his good looks, so he could only pretend to listen carefully.

Automatically filter the girls' comments on his appearance. At this time, Professor Fu Yan has finished his explanation of the standard Euclidean space from another angle, and then began to extend to other aspects of knowledge.

In the middle of the course, Professor Fu still gave lectures through text descriptions and a lot of calculation formulas that he could not understand for a while. It is very difficult to describe obscure and difficult mathematical knowledge in easy-to-understand language, which requires the teacher to have extremely high level and requires a lot of lesson preparation.

Therefore, in universities, mathematics is basically self-study, and geniuses who can understand in class are extremely rare.

In the entire lecture hall, more than half of the students recorded what Professor Fu wrote verbatim, and they planned to study on their own after returning home, and then they could gain something by asking their tutors and other methods.

As for the other half, except for those like Su Lu who can fully understand and don't need to take notes, they basically just came here to waste time.

In the last 10 minutes of the first class, Professor Fu said, "Next, let's briefly discuss the transformation and linear transformation in Euclidean space."

"Let's prove a little theorem first."

Let t be a transformation of the Euclidean space v, if there is a transformation t' of v such that (tα, β) = (α, t'β) for any α and β in v... (1)

Then t is a linear transformation of v

Proof: First, for ?α, β, γ∈v, we can get from (1)

(t(α+β),tγ)=(α+β,t'tγ)

……

……

Then t(kα)-k(tα)=θ, and thus t(kα)=k(tα)

"Therefore, t is a linear transformation of v."

"Here, we have proved it."

After Professor Fu finished writing, he turned his head and said.

The students were more confused than before, and those who were confused before became numb.

Hmm, it is indeed a simple discussion.

Teacher, you are right.

Chapter 52 I have proven it

With confused eyes, Professor Fu continued to write on the blackboard.

"From the above Theorem 1, we can get a deduction, suppose t is a transformation of Euclidean space v, if for all α, β belongs to v, (tα, β) = c? (α, β) + c? (α , tβ), where c?, c? are real numbers, then t is a linear transformation of v.

Putting down his pen, Professor Fu came to the podium and said into the microphone: "In our textbooks on mathematical analysis, every theorem needs to be proved, and this inference is no exception, but its proof is very similar to the one above. Which student Can you give an idea of ​​proof?"

He looked down at the seat below with a smile on his face.

The professors thought about it for a while, and then showed a relieved expression, but they naturally understood everything, and didn't say it, wondering if any of their students could do it.

The students began to think or discuss, squinting at the previous proof process, and then contacting the inference.

But there wasn't much time. When the bell rang for the end of get out of class, Professor Fu naturally needed to rest. He didn't announce the end of get out of class immediately, but turned his head and quickly wrote down another theorem on the blackboard.

"Assume t is a transformation of Euclidean space v, if there is a transformation of v... all have (tα, tβ) = (α, tβ) + (tα, β), then t is a linear transformation of v."

"When class is over, you can also think about how to prove this theorem. The method is similar to the first theorem. You need to change it first, and then proceed to the next step according to the nature of the inner product."

"Okay, let's rest for a while. In the next class, if you have the answer, please raise your hand and tell me."

After class was over, the discussion became louder, but after a while, an old professor in the front row stood up and walked to the podium.

People from the School of Mathematics recognized him and whispered, "Dean Jiang has gone up."

Su Lu, who was writing the certification process on the draft paper, raised his head and looked at the gray-haired old dean. He looked very kind, and he was probably about 60 years old.

Dean Jiang patted the microphone and said: "Everyone has also seen the two questions given by Professor Fu. If the first student on stage can solve all these two questions after class, isn't it? The scholarship of the previous year will be evaluated soon, and then the municipal government scholarship of our college will belong to him."

There was an uproar among the students, this year's municipal government scholarship was awarded so hastily?

Huhai University of Finance and Economics has two government scholarships, one is the National Scholarship and the other is the Shanghai Municipal Government Scholarship. The amount is 8000 yuan. In the past, they had to go through various evaluation procedures. Today, they only need to do two questions.

The crowd was stunned.

Well, you are the dean and you have the final say.

But think about it, people who can make it quickly must be a university bully at ordinary times, and they are qualified to participate in the selection.

Moreover, the most important thing is that someone must be able to solve both problems.

Dean Jiang seems to have set a very good reward, but in fact the requirements are very high. If the first person answers the simple one first, but the second one fails, then the second person on the stage will Even if you do everything, you won't get a scholarship.

Of course, it is estimated that any confident person will try to solve the two problems, and will not take the easy one first with the mentality of not getting the prize and not letting others get it.

As a result, the top scholars below began to work their brains quickly, racking their brains to think about two questions.

Ordinary-level academic masters are still scratching their heads for the solution to the first question, half-step academic masters quickly thought of the first problem-solving train of thought, and turned to thinking about the second question. As for the proof method of the question, as for the god-level academic masters, there are very few. They have already written a few lines of the proof process and are thinking about the next steps.

And there is only one super god/study master at the open level in the audience.

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