Chapter 354

Chapter 357

the next day.

The atmosphere of graduation season still permeates the campus.

Cheng Nuo gets up early to wash up and comes outside the defense classroom, quietly expecting to be overturned.

At a quarter past nine, Cheng Nuo was summoned to the defense room.

The defense group composed of four teachers is sitting in the first row of the classroom, staring at Cheng Nuo's every move from the beginning.

Cheng Nuo, one of the four teachers in the defense group, knows all of them, including Professor Fang and Dean Wei.

Both of them are top-notch figures in Chinese mathematics.

In the face of such a big battle, Cheng Nuo looks the same, calmly walks to the reply desk, inserts the U disk into the multimedia in the classroom, and then, Cheng Nuo bows slightly.

The first step is to introduce yourself.

Although the four people on the stage know Cheng Nuo well, this link is indispensable.

"Hello, my name is Cheng Nuo. I come from the major of mathematics and Applied Mathematics in 2020, student number 2020 xxxxx He has participated in four research projects, including one national key research project and one inter school cooperation and exchange project

"In the competition awards, I have won the first prize of the National College Students' mathematical contest, the national award of the National College Students' mathematical modeling contest, and the o prize of the American College Students' Mathematical Modeling Contest!"

"In terms of academic papers, three papers have been included in SCI journals, two of which are journals of the second district and one of which is" nventions Mathematicae "of the first district

"In terms of academic performance, 32 subjects with full marks and an average score of 97.52 were obtained out of a total of 54 courses in the Department of mathematics. It's number one in the whole series. "

"In terms of extracurricular interests, I participated in the school tennis competition and won the championship. Once participated in the national college students chess competition, go group, won the championship

"In terms of scholarships, I have won special scholarships for three times, and have won 95 scholarships in total!"

…………

One by one reputation, awards, in Cheng Nuo's mouth like worthless Chinese cabbage, without any emotional fluctuations on his face.

A self introduction, Leng is Cheng Nuo to give the feeling of commendation meeting.

“…… I'm finished introducing myself. Thank you

Finally, Cheng Nuo bows down to pay homage.

The four teachers in the defense group nodded with a smile, indicating that Cheng Nuo would continue.

Fortunately, they had done a lot of homework for Cheng Nuo before they came. Otherwise, in the face of Cheng Nuo, this was not like a normal person. Maybe they would just stand on the spot.

He is indeed the most proud student of Professor Fang. This strength really belongs to the same generation of Xiaochu.

In this way, the other two professors in the defense group glanced at Professor Fang, who was sitting on the platform with a smile.

Seeing that his disciples have such a promising future, this teacher must be very happy!

On the platform of defense, finish the self introduction of Cheng Nuo and open the defense ppt that has been prepared for a long time.

Formally enter the second link: the respondent's statement.

In this link, the respondent needs to describe the background of the project, the reasons for choosing this topic and the development of the topic at this stage; the specific content of the subject; and the specific contribution of the respondent in this topic.

The time limit is 20 minutes.

This is a very important link, which is second only to the next question raised by the teacher.

The specific graduation thesis was sent to the teachers of the oral defense group half a month ago. He had enough time to read and prepare. He did not have to worry that the teachers of the defense group could not keep up with their own ideas.

Open the first PPT, Cheng Nuo a light cough, then began his own defense statement.

"The title of this paper is" simple proof of Bertrand hypothesis ". The background of the subject is the complexity of Bertrand hypothesis proof proposed by Chebyshev in the last century. In order to simplify this proof step, this paper was born."

"In this paper, I use two proofs of Bertrand hypothesis put forward by Mr. Chebyshev to deduce 20 inferences, and then select five useful corollaries to prove Bertrand hypothesis. I use the method of absurdity to prove Bertrand hypothesis step by step."

"Chebyshev's proof formula, a total of 185 lines, 3254 characters. But after my simplified proof steps, it only needs 38 lines and 985 characters. "

The reduction of five times, especially for Bertrand hypothesis, a famous mathematical problem in the world, is a great leap forward in historical significance.

Because the four people under the stage have been reading process Nuo's paper, they can still keep a little calm at this time.

You know, when they read Cheng Nuo's graduation thesis for the first time, the big mouth seems to be able to put their fists under.

On the table of defense, Cheng Nuo's statement continues.

At the hands of the four teachers in the defense group, there is a paper version of Cheng Nuo's graduation thesis.Cheng Nuo faint smile, "several teachers can turn the paper directly to page 6, part of the content in front can be directly omitted."

If we just paste up the new method of Bertrand hypothesis proof developed by Cheng Nuo, I'm afraid the content of the paper can't even be filled with two pages.

For academic papers, the more simple and clear the content is, the better.

But this is a graduation thesis. If you throw the paper with only two pages in the past, it seems too insincere!

Therefore, Cheng nuotan added and finally turned a two page thesis into a full 50 page graduation thesis.

And from the sixth page of the paper, is the core content of the paper.

Cheng Nuo continues to talk, "two lemmas, one is that if n is a natural number and P is a prime number, then the highest power of P that can divide n! Is: S = ∑ I ≥ 1floor (NPI) (where floor (x) is the largest integer not greater than x), and the other is that if n is a natural number and P is a prime number, then Π P ≤ np4n."

"I have written down the specific proof methods of these two corollaries. Through the sum of the highest power, we can continuously add the two and then deduce them."

"My idea is to set the highest power of P which can be divided into (2n)! (n! N!) as an unknown inequality function. After deriving some columns, we can get that the value of S is: ∑ I ≥ 1 [floor (2npi) - 2floor (NPI)]

"The existence of the method of proof to the contrary makes Bertrand assume that another simple proof scheme, I use..."

"In addition, I passed..."

“……”

Cheng Nuo, who is familiar with every detail of the paper, stands on the table of defense, beaming with delight, and slowly comes to his thesis writing ideas. The key point is that there is no pause and language jam, which leads the teachers of the oral defense group to nod frequently.

Not to mention anything else, but to say that the quality of this paper is enough to meet the standards that they mentioned to Cheng Nuo before that they included papers in SCI journals of the first district.

There are even some.

After all, what they said before was those SCI journals at the bottom. But if you look at this paper alone, even if it is a SCI journal in the middle reaches, I'm afraid they will not refuse to include Cheng Nuo's paper.

Even if Bertrand's hypothesis has been proved once, a simpler way to prove it does have the power to get this treatment.

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