universal data

Chapter 355 Difficulties
358 chapter

Two 10-minute dissertation presentation time.

Cheng Nuo unhurriedly told the core content of his graduation thesis to the four defense team teachers.

The four of them also nodded frequently.

No matter how you look at it, Cheng Nuo's performance in this part is enough to be described as impeccable.

"...The above is my statement about the thesis this time."

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

The four defense team teachers in the audience also sat upright in an instant, with serious faces, preparing for the last part of the defense: the defense teacher asked questions.

This is the most important part of the three parts of the defense, and it is also called the "Gate of Hell" by countless graduates.

One after another, the extremely difficult questions are thrown at you like a cannonball, but you have to muster up your energy to face it with a smile.

Especially the kind of question that makes people look confused, it makes people want to answer, but they don't know how to ask.

There are two forms of questions in the graduation defense.

One is that the instructor writes the questions that will be asked on a piece of paper, and candidates have about five to 10 minutes of preparation time for each question.

When you are ready, answer the questions.

The other form is to test the academic level of students more.

That is, the teacher of the defense team asked questions on the spot, and the students answered on the spot, without any, even 1 minute of preparation time.

This form is undoubtedly extremely cruel to the students participating in the defense, but it is the most effective way to test their four-year undergraduate study results.

However, considering the graduation rate, half of Tsinghua University's defense and questioning sessions are a mixture of the two forms of questioning.

Two question questions are left for students to prepare their words.

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

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

However, for Cheng Nuo, this monstrous genius, he obviously had to be treated differently.

If Cheng Nuo was given time to prepare, it would be a disservice to Cheng Nuo's reputation as a genius.

So Dean Wei proposed, and the four of them unanimously decided that all the questions in Cheng Nuo's defense and questioning session should be answered directly on the spot.

"Student Cheng Nuo, are you ready?" Dean Wei asked with a faint smile on Cheng Nuo who was sitting in the defense table.

Cheng Nuo took a deep breath, "Get ready!"

What should come is always coming.

Besides, with Professor Fang and Dean Wei here, Cheng Nuo guessed that the difficulty level of the question might be very high!

"Then let me ask the first question!" Cheng Nuo did not expect that Professor Fang would be the first to challenge him.

Professor Fang sat on the teacher's seat of the defense team, and said with a smile, "Student Cheng Nuo, do you have any objections?"

"No, no." Cheng Nuo smiled wryly and waved his hands.

Professor Fang nodded, flipping through Cheng Nuo's paper at hand, and asked, "The deduction 15 drawn on page 10 of your paper is too simplistic. Can you use specific formulas to prove it on the spot?" one more time?"

What is the specific proof method for Corollary 10?This is easy!
Sure enough, a pro-teacher is more reliable. For the first question, I didn't make things too difficult for myself.

Cheng Nuo smiled faintly and nodded slightly, "No problem."

After finishing speaking, Cheng Nuo picked up a piece of chalk on the podium and began to write quickly on the blank side of the blackboard.

This is not a lecture and does not need to be taught as you write.

Cheng Nuo only needs to write down the detailed derivation steps of Corollary 10.

This was no problem at all for Cheng Nuo.

Although inference 10 is an inference that was "abandoned" in the proof of Bertrand's hypothesis, Cheng Nuo still kept the specific proof steps in mind.

[Because n ≥ 3 and 2n/3 < p ≤ n indicate that p2 > 2n, there is only i = 1 in the summation formula, namely: s = floor(2n/p)- 2floor(n/p).Since 2n/3 < p ≤ n also shows that 1 ≤ n/p < 3/2, so s = floor(2n/p)- 2floor(n/p)...]

[...θ(n)≡Σp≤n log(p)< n log4,...In summary, we can get Πp≤N p =(Πp≤m+1 p)(Πm+1<p≤2m+ 1 p)< 4m+1 4m = 42m+1 = 4N. 】

Get it!

Cheng Nuo turned around, and wanted to throw the chalk back into the chalk box handsomely, but when he thought that this was the graduation defense scene, he retracted his raised hand embarrassingly, and stood aside in embarrassment.

Under the stage, the four defense teachers stared at Cheng Nuo's half-filled blackboard for about 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 smiled and said, "Yes, I am very satisfied."

After asking a question, Professor Fang didn't hold Cheng Nuo any longer. After nodding in satisfaction, he stopped talking.

The following questions are the other two professors in the defense team.

All the questions raised were answered easily by Cheng Nuo.

It wasn't that their questions were not difficult enough, but Cheng Nuo was too perverted.

In fact, the two questions they asked would be difficult even if they were answered by a few top students who graduated from the School of Numerology this year.

But what they were facing was Cheng Nuo, a student who was a genius far beyond their perception.

For such a difficult question, Cheng Nuo can cut melons and vegetables all the way across.

But Cheng Nuo, who easily solved the first three questions, did not show an overly happy expression on his face, because he knew that the biggest difficulty in his graduation defense this time had not yet appeared.

That was Dean Wei. Since he was willing to attend the defense in person, he definitely didn't come just to see how Cheng Nuo would show off at the defense.

The first three questions are just appetizers, and the last question is the final ultimate big boss!

It was Dean Wei's turn to ask a question. He looked straight at Cheng Nuo, who was not far away, and smiled as if he was the villain in a novel.

Cheng Nuo's forehead suddenly burst into cold sweat.

Dean Wei unhurriedly took out a document from the briefcase beside him, put it on the table, pointed at it, and asked with a smile, "Student Cheng Nuo, do you know what this is?"

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

Dean Wei waved to Cheng Nuo, and when Cheng Nuo approached, he handed the folder to Cheng Nuo, "Take it and have a look."

Cheng Nuo took it suspiciously and opened it.

When he saw the title of the file, his pupils shrank suddenly.

Then, he hurriedly turned to the first page, and his expression changed again.

Dean Wei smiled and said in a calm tone, "After I got your paper that day, I also became a little interested in the proof method of Bertrand's hypothesis."

"Hey, the paper you are holding in your hand is another Bertrand hypothesis proof method that I wrote in three days."

hiss--!
Not only Cheng Nuo, but the other three professors also gasped.

"Don't be so surprised, I haven't finished it yet!" Dean Wei scolded with a smile, "This paper, er, how should I put it, is a failure, because I only found out after I finished writing that there is a part of the paper that contains logic. mistake."

Dean Wei's face straightened, "And Cheng Nuo, the test I give you is to find the logical errors in this paper within half an hour."

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

(End of this chapter)