You say you have an iron will, are you serious?
Chapter 52 Princeton’s Surprise
Chapter 52 Princeton’s Surprise
Princeton, Princeton University.
Looking at the paper manuscript sent by email, Wells, a professor of mathematics at Princeton University who was invited as a reviewer, was very reluctant because he was urged to review the paper by phone.
When he sat down and opened the email, Wells's attitude changed. He was stunned because the name of the paper was clearly Chinese.
mo.zhao (Zhao Mo)?
Then he smiled and said to a middle-aged man who had just chatted with him about interesting mathematics: "Hi, Xu, this paper was written by your fellow countryman."
Xu Yongzhi was startled by what he said, and subconsciously walked over to look at the manuscript.
"Zhao Mo? It seems that he is really my fellow countryman~"
A smile appeared on Xu Yongzhi's face, and he immediately said: "Since it is my fellow countryman's paper, I will just watch and say nothing. You can decide for yourself whether it passes Wells' review."
"Okay~"
Wells shrugged and began to read.
It’s 2006, not 1906. Even at this time, Westerners still have some contempt for the Chinese in their hearts. Even in 2024, it will still exist. However, many people, especially academics, have doubts about whether the Chinese can achieve academic results. People in the world no longer have the mentality they had in 1906.
Many scholars have gone abroad and entered the Western world, and have achieved amazing results one after another, proving the ingenuity of the Chinese people with iron-clad facts.
Wells has no prejudice in this regard, because many of his Chinese colleagues, such as Xu Yongzhi, are now tenured professors at Princeton University. They are also members of the Royal Swedish Mathematical Society and academicians of the American Academy of Sciences. They have many honors and are better than him. A more powerful person.
The paper Wells saw was a relatively simple one, but the new methods and the spirituality of the proofs in it made his eyes light up.
“……按照此解,我们可以简单的解两个比较难的数出来,一个33,一个42,33我们可以解出它是等于8866128975287528+(8778405442862239)+(2736111468807040),42=(-80538738812075974)+ 80435758145817515+ 12602123297335631……”
After about 10 minutes, Wells read the entire paper and understood the ideas and new methods. He knew that the paper was established, coherent and flawless.
"Pretty!"
Wells stood up and praised.
Xu Yongzhi on the side also smiled again and said to himself: "It seems that there is another talent in the country!"
He recalled the memory of the name "Zhao Mo" in his mind, and did not remember that there was any famous person who studied mathematics named "Zhao Mo". In this case, it only meant that Zhao Mo was a pure newcomer. Be happy about the emergence of new mathematical talents.
Wells turned around and looked at Xu Yongzhi, smiling: "Congratulations, Xu, a new genius has appeared in our country."
Xu Yongzhi replied: "No, Wells, you should say congratulations to us. Congratulations to us for the emergence of a new genius in the field of mathematics. He will contribute new strength to the progress of the field of mathematics."
Wells was startled, then laughed and said, "Haha, Xu, you're right, it's like this."
After speaking, Wells planned to return calls and emails to the editors of the "Chronicle of Mathematics" to tell them the results of his review.But as soon as he sat down, the editor of the Chronicle of Mathematics called him again.
"Hi, Professor Wells, we would like to trouble you. Mo.zhao from China has sent us another paper. We think this paper is even more wonderful and groundbreaking. We would like to ask you Review together..."
On the other end of the phone, the other party was talking arrogantly.
Wells didn't hesitate at all. He understood immediately that there was another paper for him to review, and it was from Zhao Mo in China.
"Unbelievable~"
Wells murmured to himself, turned to look at Xu Yongzhi subconsciously, and asked: "Xu, are you all so smart?"
Xu Yongzhi didn't hear clearly from the side, but he probably heard what was going on.
"Where did this Zhao Mo come from?"
At this moment, Xu Yongzhi's curiosity became extremely strong, and he could not wait to call the editorial department of "Chronicle of Mathematics" to ask for Zhao Mo's information.
"Maybe it's just him, I've never done anything so crazy."
On the surface, Xu Yongzhi also answered Wells with a puzzled look.
"Okay, then let me see how big of a surprise this Zhao Mo can bring to me~"
Wells said with interest, and then opened the email that just popped up.
"... Among the many Boolean function complexity indicators that have been proven so far, all indicators have a polynomial relationship with the block sensitivity indicator, but the sensitivity indicator cannot find a corresponding polynomial relationship with the block sensitivity indicator. In this regard...
According to the results proved by Gotsman and Linial in the paper The equivalence of two problems on the cube, the following two propositions are equivalent (h: N → R) to any heads-up function h [n]: ...
Therefore, we can get the following conclusion based on ②, s(f)≥√deg(f)...
Introducing Cauchy's alternation theorem...joint inequalities...
We can get (H) ≥ √n. At this point, Theorem [-] is proved. Correspondingly, the sensitivity conjecture of the Boolean function is also correct! "
1 minutes;
5 minutes;
15 minutes;
Half an hour... After he finished reading the paper, Wells stood up suddenly, rushed out of the office, and shouted: "Oh my God, God, he proved the sensitivity conjecture problem so cleverly and simply, what a genius. , I will introduce him to my mentor Professor Deligne now."
Xu Yongzhi: "..."
Are you so surprised?
Who is Professor Deligne?This is a powerful figure that everyone knows about in the academic circle. He is one of the top mathematicians in the world and an academician in many countries. He won the Fields Medal in 1978 and was awarded the title by the King of Belgium this year. For the Viscount, I have received too many honors to count.
Wells actually wanted to introduce "Zhao Mo" to Professor Deligne. One can imagine how shocked Wells was by this paper.
Then, he walked to the computer and looked curiously at the paper that made Wells ecstatic.
Half an hour later, Xu Yongzhi's reaction after reading the paper was no different from Wells's. He also applauded: "Beautiful, so beautiful! He actually proved this problem in such a clever way. How did he think of it?"
Sensitivity guess, of course he knows.
Since it was proposed in 1982, no one has proved it, and the mathematicians and computer experts who participated in the proof have written lengthy documents and failed to prove it.
He never expected that now, a newcomer from the motherland would prove this conjecture with just three pages of PDF files. What a genius!
"There is no doubt that this is a real mathematician, no, it should be a real double genius of mathematics and computers!"
Xu Yongzhi praised.
After he recovered from his exquisite paper, he immediately found the phone number of the editorial department of "Chronicles of Mathematics" and asked them for the personal confidence of "Zhao Mo". He was eager to get to know this "fellow".
By the time Wells returned from Professor Deligne, Xu Yongzhi had already obtained Zhao Mo's personal information.
“He’s actually a freshman from Wudaokou!!!”
Xu Yongzhi's inner shock was beyond words. What he never expected was that the two papers were actually written by a freshman who was just half a year old. They directly proved two world-class mathematical problems. .
Seeing Wells coming back, Xu Yongzhi calmed down and asked him: "What did Professor Deligne say?"
Wells smiled and said: "The professor was very surprised. He said that we can send an invitation letter to each other and invite him to come to Princeton to study mathematics."
"That's really great~"
Although Xu Yongzhi said this, he was thinking in his heart: "What a pity, Princeton sent an invitation letter, he will definitely come. I also thought about asking my alma mater to poach him."
He is a graduate of Yan University, and just now he was thinking of informing his alma mater of this caution. Those who are closer to the water, first come first, can lure Zhao Mo to Yan University. Even if he is studying for a bachelor's degree, he will be the first to get the news.
Now, it's completely out of the question.
Xu Yongzhi doesn’t think any mathematics student in the world can refuse Princeton’s invitation to study.
……
Beijing, inside Pudaokou University.
"Yang Chan, have you solved this problem too?"
In the computer class, when associate professor Deng Hui was correcting Yang Chan's homework, he was surprised when he saw that she had solved all the difficult problems he didn't know yesterday, and he immediately called her up for questioning.
Yang Chan blushed and replied in a low voice: "Teacher, I went to ask a classmate from the mathematics department for advice."
Deng Hui was even more surprised and said: "This question involves two majors: mathematics and computer science. I dare say that not many students in the school can solve it. Who is that classmate?"
Yang Chan blushed even more: "He's a freshman, his name is Zhao Mo."
She felt too ashamed to admit in front of the teacher that she, a sophomore, was asking a freshman for advice.
"Zhao Mo?"
Deng Hui had no idea in this regard. He only felt that the name was familiar, and then suddenly remembered that he had heard about it from Professor Yao Zhi of Yao Class. He was a very talented young man.
He asked Yang Chan: "Is it Zhao Mo who worked with a student from Yao class to make a plan for Zhongwei Company?"
"It's him."
Yang Chan nodded.
"It's really him!"
Deng Hui's face showed a look of surprise. He looked at the answers to the homework questions and said, "I didn't expect that he is not only talented in mathematics, but also has a strong talent in computer science."
Then, he became interested and asked Yang Chan: "Well, help me ask him if he is interested in transferring to our computer major? I can apply with the director and let him study for a bachelor's, master's and doctoral degree."
"what?"
Yang Chan was confused and said nonchalantly: "This is not good."
Deng Hui said angrily: "What's wrong with this? Don't let it go to waste if he has such a good talent. Forget it, I'll tell him myself. You can take me to him after class."
"It's over, Zhao Mo will definitely blame me! Those professors in the mathematics department will scold me to death, right?"
Yang Chan wailed in her heart. When she returned to her seat and sat down again, she had forgotten how she got off the podium.
(End of this chapter)
Princeton, Princeton University.
Looking at the paper manuscript sent by email, Wells, a professor of mathematics at Princeton University who was invited as a reviewer, was very reluctant because he was urged to review the paper by phone.
When he sat down and opened the email, Wells's attitude changed. He was stunned because the name of the paper was clearly Chinese.
mo.zhao (Zhao Mo)?
Then he smiled and said to a middle-aged man who had just chatted with him about interesting mathematics: "Hi, Xu, this paper was written by your fellow countryman."
Xu Yongzhi was startled by what he said, and subconsciously walked over to look at the manuscript.
"Zhao Mo? It seems that he is really my fellow countryman~"
A smile appeared on Xu Yongzhi's face, and he immediately said: "Since it is my fellow countryman's paper, I will just watch and say nothing. You can decide for yourself whether it passes Wells' review."
"Okay~"
Wells shrugged and began to read.
It’s 2006, not 1906. Even at this time, Westerners still have some contempt for the Chinese in their hearts. Even in 2024, it will still exist. However, many people, especially academics, have doubts about whether the Chinese can achieve academic results. People in the world no longer have the mentality they had in 1906.
Many scholars have gone abroad and entered the Western world, and have achieved amazing results one after another, proving the ingenuity of the Chinese people with iron-clad facts.
Wells has no prejudice in this regard, because many of his Chinese colleagues, such as Xu Yongzhi, are now tenured professors at Princeton University. They are also members of the Royal Swedish Mathematical Society and academicians of the American Academy of Sciences. They have many honors and are better than him. A more powerful person.
The paper Wells saw was a relatively simple one, but the new methods and the spirituality of the proofs in it made his eyes light up.
“……按照此解,我们可以简单的解两个比较难的数出来,一个33,一个42,33我们可以解出它是等于8866128975287528+(8778405442862239)+(2736111468807040),42=(-80538738812075974)+ 80435758145817515+ 12602123297335631……”
After about 10 minutes, Wells read the entire paper and understood the ideas and new methods. He knew that the paper was established, coherent and flawless.
"Pretty!"
Wells stood up and praised.
Xu Yongzhi on the side also smiled again and said to himself: "It seems that there is another talent in the country!"
He recalled the memory of the name "Zhao Mo" in his mind, and did not remember that there was any famous person who studied mathematics named "Zhao Mo". In this case, it only meant that Zhao Mo was a pure newcomer. Be happy about the emergence of new mathematical talents.
Wells turned around and looked at Xu Yongzhi, smiling: "Congratulations, Xu, a new genius has appeared in our country."
Xu Yongzhi replied: "No, Wells, you should say congratulations to us. Congratulations to us for the emergence of a new genius in the field of mathematics. He will contribute new strength to the progress of the field of mathematics."
Wells was startled, then laughed and said, "Haha, Xu, you're right, it's like this."
After speaking, Wells planned to return calls and emails to the editors of the "Chronicle of Mathematics" to tell them the results of his review.But as soon as he sat down, the editor of the Chronicle of Mathematics called him again.
"Hi, Professor Wells, we would like to trouble you. Mo.zhao from China has sent us another paper. We think this paper is even more wonderful and groundbreaking. We would like to ask you Review together..."
On the other end of the phone, the other party was talking arrogantly.
Wells didn't hesitate at all. He understood immediately that there was another paper for him to review, and it was from Zhao Mo in China.
"Unbelievable~"
Wells murmured to himself, turned to look at Xu Yongzhi subconsciously, and asked: "Xu, are you all so smart?"
Xu Yongzhi didn't hear clearly from the side, but he probably heard what was going on.
"Where did this Zhao Mo come from?"
At this moment, Xu Yongzhi's curiosity became extremely strong, and he could not wait to call the editorial department of "Chronicle of Mathematics" to ask for Zhao Mo's information.
"Maybe it's just him, I've never done anything so crazy."
On the surface, Xu Yongzhi also answered Wells with a puzzled look.
"Okay, then let me see how big of a surprise this Zhao Mo can bring to me~"
Wells said with interest, and then opened the email that just popped up.
"... Among the many Boolean function complexity indicators that have been proven so far, all indicators have a polynomial relationship with the block sensitivity indicator, but the sensitivity indicator cannot find a corresponding polynomial relationship with the block sensitivity indicator. In this regard...
According to the results proved by Gotsman and Linial in the paper The equivalence of two problems on the cube, the following two propositions are equivalent (h: N → R) to any heads-up function h [n]: ...
Therefore, we can get the following conclusion based on ②, s(f)≥√deg(f)...
Introducing Cauchy's alternation theorem...joint inequalities...
We can get (H) ≥ √n. At this point, Theorem [-] is proved. Correspondingly, the sensitivity conjecture of the Boolean function is also correct! "
1 minutes;
5 minutes;
15 minutes;
Half an hour... After he finished reading the paper, Wells stood up suddenly, rushed out of the office, and shouted: "Oh my God, God, he proved the sensitivity conjecture problem so cleverly and simply, what a genius. , I will introduce him to my mentor Professor Deligne now."
Xu Yongzhi: "..."
Are you so surprised?
Who is Professor Deligne?This is a powerful figure that everyone knows about in the academic circle. He is one of the top mathematicians in the world and an academician in many countries. He won the Fields Medal in 1978 and was awarded the title by the King of Belgium this year. For the Viscount, I have received too many honors to count.
Wells actually wanted to introduce "Zhao Mo" to Professor Deligne. One can imagine how shocked Wells was by this paper.
Then, he walked to the computer and looked curiously at the paper that made Wells ecstatic.
Half an hour later, Xu Yongzhi's reaction after reading the paper was no different from Wells's. He also applauded: "Beautiful, so beautiful! He actually proved this problem in such a clever way. How did he think of it?"
Sensitivity guess, of course he knows.
Since it was proposed in 1982, no one has proved it, and the mathematicians and computer experts who participated in the proof have written lengthy documents and failed to prove it.
He never expected that now, a newcomer from the motherland would prove this conjecture with just three pages of PDF files. What a genius!
"There is no doubt that this is a real mathematician, no, it should be a real double genius of mathematics and computers!"
Xu Yongzhi praised.
After he recovered from his exquisite paper, he immediately found the phone number of the editorial department of "Chronicles of Mathematics" and asked them for the personal confidence of "Zhao Mo". He was eager to get to know this "fellow".
By the time Wells returned from Professor Deligne, Xu Yongzhi had already obtained Zhao Mo's personal information.
“He’s actually a freshman from Wudaokou!!!”
Xu Yongzhi's inner shock was beyond words. What he never expected was that the two papers were actually written by a freshman who was just half a year old. They directly proved two world-class mathematical problems. .
Seeing Wells coming back, Xu Yongzhi calmed down and asked him: "What did Professor Deligne say?"
Wells smiled and said: "The professor was very surprised. He said that we can send an invitation letter to each other and invite him to come to Princeton to study mathematics."
"That's really great~"
Although Xu Yongzhi said this, he was thinking in his heart: "What a pity, Princeton sent an invitation letter, he will definitely come. I also thought about asking my alma mater to poach him."
He is a graduate of Yan University, and just now he was thinking of informing his alma mater of this caution. Those who are closer to the water, first come first, can lure Zhao Mo to Yan University. Even if he is studying for a bachelor's degree, he will be the first to get the news.
Now, it's completely out of the question.
Xu Yongzhi doesn’t think any mathematics student in the world can refuse Princeton’s invitation to study.
……
Beijing, inside Pudaokou University.
"Yang Chan, have you solved this problem too?"
In the computer class, when associate professor Deng Hui was correcting Yang Chan's homework, he was surprised when he saw that she had solved all the difficult problems he didn't know yesterday, and he immediately called her up for questioning.
Yang Chan blushed and replied in a low voice: "Teacher, I went to ask a classmate from the mathematics department for advice."
Deng Hui was even more surprised and said: "This question involves two majors: mathematics and computer science. I dare say that not many students in the school can solve it. Who is that classmate?"
Yang Chan blushed even more: "He's a freshman, his name is Zhao Mo."
She felt too ashamed to admit in front of the teacher that she, a sophomore, was asking a freshman for advice.
"Zhao Mo?"
Deng Hui had no idea in this regard. He only felt that the name was familiar, and then suddenly remembered that he had heard about it from Professor Yao Zhi of Yao Class. He was a very talented young man.
He asked Yang Chan: "Is it Zhao Mo who worked with a student from Yao class to make a plan for Zhongwei Company?"
"It's him."
Yang Chan nodded.
"It's really him!"
Deng Hui's face showed a look of surprise. He looked at the answers to the homework questions and said, "I didn't expect that he is not only talented in mathematics, but also has a strong talent in computer science."
Then, he became interested and asked Yang Chan: "Well, help me ask him if he is interested in transferring to our computer major? I can apply with the director and let him study for a bachelor's, master's and doctoral degree."
"what?"
Yang Chan was confused and said nonchalantly: "This is not good."
Deng Hui said angrily: "What's wrong with this? Don't let it go to waste if he has such a good talent. Forget it, I'll tell him myself. You can take me to him after class."
"It's over, Zhao Mo will definitely blame me! Those professors in the mathematics department will scold me to death, right?"
Yang Chan wailed in her heart. When she returned to her seat and sat down again, she had forgotten how she got off the podium.
(End of this chapter)
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