Chapter 355

Chapter 358

20 minutes.

Cheng Nuo is not in a hurry to tell the core content of his graduation thesis to four teachers in the defense group.

The four nodded again and again.

No matter from which aspect, Cheng Nuo's performance is enough to use impeccable to describe.

“…… The above is my statement on this paper. "

Stuck in time, Cheng Nuo finished in the last ten seconds.

The four teachers in the oral defense group also sat at the right moment with serious faces. They prepared for the last part of the defense: the defense teacher asked questions.

This is the most important part of the "entrance examination".

One by one extremely difficult question wants to be thrown at you unceasingly, but you, also have to summon up the spirit to face with a smile.

In particular, the kind of listening to all the confused face of the question, it is almost people want to answer, do not know how to open up.

There are two forms of questioning in graduation defense.

One is that the tutor writes the questions on a piece of paper, and the candidates have about five to ten minutes to prepare for each question.

After the preparation, answer again.

The other is to test the academic level of students.

That is, the teachers of the defense group asked questions on the spot, and the students answered them on the spot, without any preparation time, even one minute.

This form of defense for students is undoubtedly extremely cruel, but it is the most effective test of their four-year undergraduate learning results.

However, considering the graduation rate, half of the questions and answers in Tsinghua University of mathematics are a mixture of two kinds of questions.

Two questions are left for the students to prepare the wording time.

The other two questions completely test the students' on-the-spot performance.

A few days ago, when I reported that the first few students of today participated in the defense, they all arranged this way.

However, for Cheng Nuo, this evil genius, it is obvious to treat them differently.

If you leave Cheng Nuo time to prepare, it's too sorry for Cheng Nuo's reputation as a genius.

Therefore, it was proposed by President Wei, and the four people unanimously decided that all questions in Cheng Nuo's reply and questioning link were direct answers on the spot.

"Classmate Cheng Nuo, are you ready?" President Wei looked at Cheng Nuo on the defense table and asked with a faint smile.

Cheng Nuo took a deep breath, "ready!"

What should come always comes.

Besides, Professor Fang and President Wei are here. Cheng Nuo guesses that the difficulty level of the problem will be very high!

"Then let me ask the first question." Cheng Nuo didn't expect that Professor Fang was the first one to make trouble.

Professor Fang sat on the teacher's seat in the reply group and said with a smile, "classmate Cheng Nuo, do you have any problem?"

"No, No Cheng Nuo smiles bitterly and waves his hand.

Professor Fang nodded, turning over Cheng Nuo's paper and asking, "the inference 10 on page 15 of your paper is too simple. Can you prove it with specific formula on the spot?"

How to prove inference 10? This is simple!

Sure enough or pro teacher more reliable, the first problem, not too hard on their own.

Cheng Nuo faint smile, gently nodded, "no problem."

With that, Cheng Nuo picked up a piece of chalk on the stage and began to write on the blank side of the blackboard.

It's not a lecture. You don't have to write and talk.

Cheng Nuo only needs to write out the detailed derivation steps of inference 10.

This is no problem for chenos.

Although inference 10 is a corollary which has been "abandoned" in the proof of Bertrand hypothesis, the specific steps of proof are still recorded in detail.

Because n ≥ 3 and 2n3p ≤ n indicate P2; 2n, there is only one term I = 1 in the summation formula, that is, s = floor (2np) - 2floor (NP). Since 2n3p ≤ n also indicates 1 ≤ np32, s = floor (2np) - 2floor (NP) 】

【…… θ(n)≡Σp≤nlog(p)nlog4，…… To sum up, we can get Π P ≤ NP = (Πp ≤ m + 1P) (Πm + 1p ≤ 2m + 1P) 4m + 14m = 42m + 1 = 4N. 】

done!

Cheng Nuo turns around and wants to be handsome and throw the chalk head back into the chalk box. However, when he thinks that this is the graduation defense scene, he picks up his hand and stands awkwardly aside.

Under the stage, four defense teachers stare at Cheng Nuo's half blackboard for almost a minute.

With their mathematical ability, it is not difficult to quickly understand and understand the formula written by Cheng Nuo. Moreover, they themselves have a certain degree of understanding of the content of Cheng Nuo's paper.

Professor Fang said with a smile, "yes, I'm very satisfied."After asking a question, Professor Fang didn't hold on to Cheng Nuo any more. After nodding with satisfaction, he stopped talking.

Here are two other professors from the defense group.

All the questions are answered easily by Cheng Nuo.

It's not that their problems are not difficult enough, but Cheng Nuo is too abnormal.

In fact, the two questions they asked, even if they were answered by several top students who graduated from this year's Academy of mathematics, would be difficult.

But they are facing Cheng Nuo, a student far beyond their cognitive genius.

That kind of difficult problem, Cheng Nuo cut melons and vegetables all the way across.

However, Cheng Nuo, who easily solved the first three questions, did not show too happy expression on his face, because he knew that the biggest difficulty of his graduation defense had not appeared.

That's Mr. Wei. Since he is willing to attend the defense in person, he is definitely not just trying to see how Cheng Nuo pretends to be forced at the defense scene.

The first three questions are just appetizers, and the last one is the ultimate BOSS!

It's president Wei's turn to ask questions. He looks at Cheng Nuo not far away. He looks like a villain in in a novel and smiles.

Cheng Nuo's forehead suddenly started several cold sweats.

Wei took out a document from his briefcase, put it on the table, pointed to it, and asked with a smile, "Cheng Nuo, do you know what this is?"

Cheng Nuo shook his head, "students don't know."

Premier Wei waved to Cheng Nuo. When Cheng Nuo came near, he handed the folder to Cheng Nuo, "take it and have a look."

Cheng Nuo a face of doubt to take over, open it.

When I saw the title of the document, my pupils shrank.

Then, in a hurry, he turned to the first page and his face changed again.

President Wei said with a smile, "after I got your paper that day, I was also interested in the proof of Bertrand's hypothesis."

"Well, the paper you're holding is another Bertrand hypothesis proof that I wrote in three days."

Hiss!

Not only Cheng Nuo, but also three other professors took a breath.

"Don't be so surprised. I haven't finished yet." President Wei said with a smile, "this paper, er, how to say, is a failure, because I found that there was a logical error in one part of the paper after I finished writing it."

Wei's face was straight, "and Cheng Nuo, the test I gave you was to find out the logical mistakes in this paper within half an hour."

"Of course, if you can correct this logic error and make the whole thesis logical, I will give you full marks for this graduation defense!"

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