Chapter 357: Graduation reply

Chapter 357
The next day.
The back atmosphere brought by the graduation season is still gradually pervading the campus.
Cheng Nuo got up early to wash and went to the defense classroom, quietly looking forward to being flopped.
At a quarter past nine, Cheng Nuo was summoned into the defense classroom.
The defense team composed of four teachers was sitting in the first row of the classroom, and from the beginning, it quietly stared at Cheng Nuo's every move.
The four defense team teachers know Cheng Nuo, including Professor Fang and Dean Wei.
Both are figures of the highest level in Chinese mathematics.
Facing such a big battle, Cheng Nuo's expression remained unchanged. He calmly walked to the defense bench and inserted the U disk into the multimedia in the classroom. Then, Cheng Nuo bowed slightly.
The first step is to introduce yourself.
Although the four people in the audience knew Cheng Nuo well, this link was still indispensable.
"Hello teachers, my name is Cheng Nuo, I am from the 2020 mathematics and applied mathematics major, my student number is 2020XXXXXX, ... Since I enrolled in two years, I have participated in four research projects, including one national key research project and one cross-country research project. School cooperation exchange project."
"In the competition awards, I have won the first prize of the National College Student Mathematical Contest, the National College Student Mathematical Modeling Contest National Award, and the American College Student Mathematical Modeling Contest O Award!"
"In terms of academic papers, three papers have been included in SCI journals, two of which are regional journals and one is a regional journal ""."
"In terms of academic performance, out of a total of 54 courses in the Department of Mathematics, 32 subjects got a perfect score, with an average score of 97.52. Ranked first in the whole department."
"In extracurricular hobbies, I participated in the intramural tennis competition and won the championship. I participated in the Go group of the national university chess competition and won the championship!"
"In terms of scholarships, I have won special scholarships three times and have won 95 scholarships in total!"
…………
Each of the reputations and awards was like a worthless Chinese cabbage in Cheng Nuo's mouth, without any emotional fluctuations on his face.
After some self-introduction, Cheng Nuo gave him the feeling of a commendation meeting.
"...I have finished introducing myself, thank you!"
Finally, Cheng Nuo bent over to pay tribute.
The four teachers in the defense group nodded with a smile, and signaled Cheng Nuo to continue.
Fortunately, they had done enough homework on Cheng Nuo before they came. Otherwise, facing Cheng Nuo, which is not like a normal person with a lot of awards, they might be left on the spot.
As expected to be Professor Fang's most proud student, this strength really belongs to Xiao Chu of his peers.
Thinking of this, the other two professors in the defense group glanced at Professor Fang who was smiling and looking at the podium.
Seeing that his disciple is so promising, this teacher must be very happy!
On the defense stage, Cheng Nuo, who finished introducing herself, opened the defense PPT that had been prepared long ago.
Formally enter the second link: the respondent's statement.
In this link, the respondent needs to describe the background of the topic, the reasons for choosing this topic and the current development of the topic; the specific content of the topic; and the specific contribution of the respondent in the topic.
The time limit is 20 minutes.
This is an extremely important link, second only to the question of the next respondent teacher.
Cheng Nuo sent the specific graduation thesis to the teacher of the defense team half a month ago, so he has plenty of time to read and prepare, and he doesn't have to worry about the defense teacher being unable to keep up with his ideas.
Opening the first PPT, Cheng Nuo gave a light cough and started his own defense statement.
"The title of this paper is "A Simple Proof of Bertrand Hypothesis". The background of the subject is derived from the complexity of the Bertrand Hypothesis Proof Method proposed by Chebyshev in the last century. In order to simplify this proof step, we have this article The birth of the paper."

In the thesis, I used the two proofs of Bertrand hypothesis proposed by Mr. Chebyshev to derive 20 inferences, and then I screened out five inferences useful for proving Bertrand’s hypothesis, and used the method of contradiction to step by step. Proof of hypothesis."
"Chebyshev's proof formula is 185 lines and 3254 characters in total. After my simplified proof steps, it only needs 38 lines and 985 characters."
The five-fold reduction, especially for Bertrand's hypothesis, a mathematical problem that is famous in the last world, can already be said to be a great leap in historical significance.
The four people in the audience had already read Cheng Nuo's paper, so their complexion could still be slightly calm at this time.
You know, when they read the graduation thesis submitted by Cheng Nuo for the first time, the big mouth seemed to be able to knock down their fists.
In the defense, Cheng Nuo's statement continued.
The four teachers in the defense group all have a paper version of Cheng Nuo's graduation thesis on hand.
Cheng Nuo smiled faintly, "Several teachers can turn the paper directly to page six, and part of the previous content can be skipped directly."
If only the Bertrand hypothesis proof new method developed by Cheng Nuo is pasted, the content of the paper may not be full of two pages.
For academic papers, the content is naturally simpler and clearer, the better.
But this is a graduation thesis. Just throwing a two-page essay over it would seem too insincere!
Therefore, Cheng Nuo added something and finally turned a two-page dissertation into a full 50-page graduation thesis.
From the sixth page of the paper, it is the core content of the paper.
Cheng Nuo continued to talk, "Two lemmas, one suppose n is a natural number and p is a prime number, then the highest power of p that can divide n! is: s=Σi≥1floor(n/pi) (formula Where floor(x) is the largest integer not greater than x), and if n is a natural number and p is a prime number, then Πp≤np4n."
"I have written the concrete proof methods of these two inferences below in detail. Through the sum of the highest powers, the two are continuously superimposed and then deduced."
"My idea is to set the highest power of p that can divide (2n)!/(n!n!) as an unknown inequality function. After a series of derivations, we can get the value of s ~www .EbookFREE.me~The existence of proof by contradiction makes Bertrand hypothesize another simple proof scheme, I use..."
"In addition, I passed..."
"..."
Cheng Nuo, who was familiar with every detail of the thesis, stood on the bench with joy, and slowly said his thesis writing ideas, without any stuttering and speech jams, which attracted the audience's defense team teachers to nod frequently.
Let's not talk about anything else, but the quality of this paper is enough to meet the standards they have said to Cheng Nuo before, for the inclusion of papers in a district SCI journal.
It's even worse.
After all, they were talking about the low-level SCI journals, but looking at this paper alone, even the SCI journals in the middle reaches will not refuse to include Cheng Nuo's paper.
Even if Bertrand's hypothesis has been proved once before, a simpler method of proof is indeed capable of getting this treatment.