universal data
Chapter 332 Trouble
Chapter 332 Trouble
335 chapter
After negotiating the patent matter, Director Lin stood up and left.
He had already asked for Cheng Nuo's bank card number, and in no time, the 15 patent fee would be transferred to Cheng Nuo's account.
"Wow, God, you are amazing!"
Seeing Director Lin leave, Liu Qing felt relieved, looked at Cheng Nuo with beautiful eyes, and praised.
Gu Feifei was similar, with her hands resting on her chin, her eyes full of love.
The master is indeed a master. Even people from the Supreme People's Court came here to buy patents. These two sisters must be following the right person!
Facing the flattery of the two sisters, Cheng Nuo smiled faintly, "Basic operations, just basic operations."
Although I knew for a long time that the program developed in the modeling competition was fraudulent, I didn't expect it to alert the Supreme People's Court.
But it's good, at least it proves that his more than ten hours of modifying the program was not in vain.
…………
"Then God, if there is nothing else, the two of us will leave first!"
After chatting in the office for a while, Liu Qing took the initiative to say goodbye.
During this period, Cheng Nuo also mentioned the idea of sharing the 15 patent fee among the three of them, but the two of them decisively rejected it.
It was a great luck for the two of them to be led by a master like Cheng Nuo. As for the patent fee, the two of them really didn't want to share it equally with Cheng Nuo.
After all, all the painstaking efforts of that program belonged to Cheng Nuo alone.
And, now it seems that since the Supreme People's Court has sent people to buy Cheng Nuo's modeling program, doesn't that mean that their modeling team has a very high chance of winning the National First Award.
Liu Qing and Gu Feifei have already agreed that if they can really win the first prize in the national modeling competition, they will each spend half a month's living expenses and treat Master Cheng Nuo to a big meal!
After sending Liu Qing and Gu Feifei away, Cheng Nuo was the only one left in the office, who was still sitting on the desk smiling and looking at Professor Fang over here.
Professor Fang smiled lightly, with a hint of ridicule in his tone, "I thought it would be all right if you were allowed to take part in this modeling competition, but I didn't expect you to make a big battle!"
Cheng Nuo smiled bitterly and said, "Professor, I don't want to do this, but I can't help it!"
As he spoke, Cheng Nuo lamented, "If you want to blame it, you can only blame me for being too good!"
Professor Fang: "..."
Say you are fat, you are really out of breath.
"Forget it." Professor Fang shook his head and smiled, "Since you are here, let's discuss the proof of the BSD conjecture by the way."
Cheng Nuo looked solemn, moved a chair and sat across from Professor Fang's desk. "Yes. Professor, I have indeed encountered some problems during the proof process recently. I would like to ask you to help me by the way."
"tell me the story."
"Regarding the rational points of Abelian varieties, if a finitely generated commutative group is formed, I use local point sets..."
……
One old and one young, gradually enter the realm of selflessness.
When Cheng Nuo's mind swam back to the shore from the ocean of mathematics, he looked up and found that the sun had already set outside the window.
After bidding farewell to Professor Fang hurriedly, Cheng Nuo left the building.
…………
For the next month, apart from the daily lessons, Cheng Nuo devoted the rest of his time to the proof of the weak BSD conjecture.
But the results obtained... are not gratifying!
To be precise, in the past week, the progress of the research can be described as difficult.
It proves that the progress has been stuck on the hurdle of 56% and cannot be passed.
So much so that the news of winning the first prize in the modeling country did not dilute Cheng Nuo's worries.
Another three days later, the situation remained the same.
Gradually, Professor Fang and Cheng Nuo realized that their research direction might be wrong.
…………
Venue: Office of Professor Fang, School of Mathematics.
Time: 2021pm on November 11, 27.
Characters: Fang Ruoyu, Cheng Nuo.
On the desk, there were three stacks of straw paper.These are all the painstaking efforts of the two of them on the BSD conjecture during this period.
Under the bright light, Cheng Nuo, who looked a little haggard, said, "Professor, which step did you say we had a problem with?"
Professor Fang pushed the reading glasses and sighed, "It's hard to say. Mathematics proves that one step is wrong, step by step is wrong. It is difficult for us to know which link has a problem in the front that led to the current situation."
"Therefore, if we want to continue the proof work, we have to check it from the end to the beginning."
Professor Fang mentioned one of the most troublesome but most effective solutions to the current situation.
Cheng Nuo smiled wryly and nodded, expressing his understanding.
Although I knew that this kind of situation would be encountered in the process of proving world-class conjectures, it is still a bit difficult to accept when the facts really happen in front of you.
In fact, optimistically speaking, it is always a good thing that they can discover the errors in the proof in time.
It is much better than those situations where the conjecture is proved to be true, but it is found that there are major mistakes in the proof process.
Since you can't resist, then face it with optimism.
Isn't it just crazy... He Cheng Nuo is not afraid!
Picking up the first few drafts, Cheng Nuo lowered his head and looked at them carefully.
[Let L(E, s) be the Hasse-Weil L-function corresponding to the elliptic curve E.In fact, the BSD conjecture contains the following two items. The order of the Taylor expansion of the function L(E, s) is equal to the Mordell-Weil rank of the elliptic curve... Then there is L(E, 1)=0, ~L'(E, 1)\not=0 Rightarrow r(E)≥ 1】
Exactly!
The next part of the proof process.
【Then there is L(E, 1)=0, ~L'(E, 1)\not=0≥ r(E)=1. According to Kolyvagin's theorem, we get...】
Exactly!
Cheng Nuo's brain was like a machine running at high speed.
A pile of formulas and characters are combined and calculated in the brain to produce logical results.
As if tireless, Cheng Nuo flipped through the pages from beginning to end.
…………
The time has come to three o'clock in the morning.
Cheng Nuo put down the piece of draft paper in his hand, twisted his neck, and looked up to find that Professor Fang across from him had fallen asleep on the table.
Cheng Nuo smiled faintly, and found a blanket in the cabinet on the side of the office to cover Professor Fang. Then, he continued to hold the paper full of formulas and continued to search for mistakes.
Time, minute by minute.
Cheng Nuo glanced line by line.
Suddenly, his eyes were locked on a row of calculations.
[...Under the condition of p≥11, assuming that the elliptic curve is semi-stable, then ord(L(E, 1)/c)=ord(Sha(E), GL2 is...]
Here, here... why use some of the technical proof conditions of GL2 to obtain the key conditions for the next part of the proof work.
No, it shouldn't be like this!
The solution of the GL2 formula is completely unnecessary. If you want to get the Kolyvagin conjecture logically, you should use...
In an instant, Cheng Nuo's inspiration burst!
………………
………………
PS: One word: hot! ! !
(End of this chapter)
335 chapter
After negotiating the patent matter, Director Lin stood up and left.
He had already asked for Cheng Nuo's bank card number, and in no time, the 15 patent fee would be transferred to Cheng Nuo's account.
"Wow, God, you are amazing!"
Seeing Director Lin leave, Liu Qing felt relieved, looked at Cheng Nuo with beautiful eyes, and praised.
Gu Feifei was similar, with her hands resting on her chin, her eyes full of love.
The master is indeed a master. Even people from the Supreme People's Court came here to buy patents. These two sisters must be following the right person!
Facing the flattery of the two sisters, Cheng Nuo smiled faintly, "Basic operations, just basic operations."
Although I knew for a long time that the program developed in the modeling competition was fraudulent, I didn't expect it to alert the Supreme People's Court.
But it's good, at least it proves that his more than ten hours of modifying the program was not in vain.
…………
"Then God, if there is nothing else, the two of us will leave first!"
After chatting in the office for a while, Liu Qing took the initiative to say goodbye.
During this period, Cheng Nuo also mentioned the idea of sharing the 15 patent fee among the three of them, but the two of them decisively rejected it.
It was a great luck for the two of them to be led by a master like Cheng Nuo. As for the patent fee, the two of them really didn't want to share it equally with Cheng Nuo.
After all, all the painstaking efforts of that program belonged to Cheng Nuo alone.
And, now it seems that since the Supreme People's Court has sent people to buy Cheng Nuo's modeling program, doesn't that mean that their modeling team has a very high chance of winning the National First Award.
Liu Qing and Gu Feifei have already agreed that if they can really win the first prize in the national modeling competition, they will each spend half a month's living expenses and treat Master Cheng Nuo to a big meal!
After sending Liu Qing and Gu Feifei away, Cheng Nuo was the only one left in the office, who was still sitting on the desk smiling and looking at Professor Fang over here.
Professor Fang smiled lightly, with a hint of ridicule in his tone, "I thought it would be all right if you were allowed to take part in this modeling competition, but I didn't expect you to make a big battle!"
Cheng Nuo smiled bitterly and said, "Professor, I don't want to do this, but I can't help it!"
As he spoke, Cheng Nuo lamented, "If you want to blame it, you can only blame me for being too good!"
Professor Fang: "..."
Say you are fat, you are really out of breath.
"Forget it." Professor Fang shook his head and smiled, "Since you are here, let's discuss the proof of the BSD conjecture by the way."
Cheng Nuo looked solemn, moved a chair and sat across from Professor Fang's desk. "Yes. Professor, I have indeed encountered some problems during the proof process recently. I would like to ask you to help me by the way."
"tell me the story."
"Regarding the rational points of Abelian varieties, if a finitely generated commutative group is formed, I use local point sets..."
……
One old and one young, gradually enter the realm of selflessness.
When Cheng Nuo's mind swam back to the shore from the ocean of mathematics, he looked up and found that the sun had already set outside the window.
After bidding farewell to Professor Fang hurriedly, Cheng Nuo left the building.
…………
For the next month, apart from the daily lessons, Cheng Nuo devoted the rest of his time to the proof of the weak BSD conjecture.
But the results obtained... are not gratifying!
To be precise, in the past week, the progress of the research can be described as difficult.
It proves that the progress has been stuck on the hurdle of 56% and cannot be passed.
So much so that the news of winning the first prize in the modeling country did not dilute Cheng Nuo's worries.
Another three days later, the situation remained the same.
Gradually, Professor Fang and Cheng Nuo realized that their research direction might be wrong.
…………
Venue: Office of Professor Fang, School of Mathematics.
Time: 2021pm on November 11, 27.
Characters: Fang Ruoyu, Cheng Nuo.
On the desk, there were three stacks of straw paper.These are all the painstaking efforts of the two of them on the BSD conjecture during this period.
Under the bright light, Cheng Nuo, who looked a little haggard, said, "Professor, which step did you say we had a problem with?"
Professor Fang pushed the reading glasses and sighed, "It's hard to say. Mathematics proves that one step is wrong, step by step is wrong. It is difficult for us to know which link has a problem in the front that led to the current situation."
"Therefore, if we want to continue the proof work, we have to check it from the end to the beginning."
Professor Fang mentioned one of the most troublesome but most effective solutions to the current situation.
Cheng Nuo smiled wryly and nodded, expressing his understanding.
Although I knew that this kind of situation would be encountered in the process of proving world-class conjectures, it is still a bit difficult to accept when the facts really happen in front of you.
In fact, optimistically speaking, it is always a good thing that they can discover the errors in the proof in time.
It is much better than those situations where the conjecture is proved to be true, but it is found that there are major mistakes in the proof process.
Since you can't resist, then face it with optimism.
Isn't it just crazy... He Cheng Nuo is not afraid!
Picking up the first few drafts, Cheng Nuo lowered his head and looked at them carefully.
[Let L(E, s) be the Hasse-Weil L-function corresponding to the elliptic curve E.In fact, the BSD conjecture contains the following two items. The order of the Taylor expansion of the function L(E, s) is equal to the Mordell-Weil rank of the elliptic curve... Then there is L(E, 1)=0, ~L'(E, 1)\not=0 Rightarrow r(E)≥ 1】
Exactly!
The next part of the proof process.
【Then there is L(E, 1)=0, ~L'(E, 1)\not=0≥ r(E)=1. According to Kolyvagin's theorem, we get...】
Exactly!
Cheng Nuo's brain was like a machine running at high speed.
A pile of formulas and characters are combined and calculated in the brain to produce logical results.
As if tireless, Cheng Nuo flipped through the pages from beginning to end.
…………
The time has come to three o'clock in the morning.
Cheng Nuo put down the piece of draft paper in his hand, twisted his neck, and looked up to find that Professor Fang across from him had fallen asleep on the table.
Cheng Nuo smiled faintly, and found a blanket in the cabinet on the side of the office to cover Professor Fang. Then, he continued to hold the paper full of formulas and continued to search for mistakes.
Time, minute by minute.
Cheng Nuo glanced line by line.
Suddenly, his eyes were locked on a row of calculations.
[...Under the condition of p≥11, assuming that the elliptic curve is semi-stable, then ord(L(E, 1)/c)=ord(Sha(E), GL2 is...]
Here, here... why use some of the technical proof conditions of GL2 to obtain the key conditions for the next part of the proof work.
No, it shouldn't be like this!
The solution of the GL2 formula is completely unnecessary. If you want to get the Kolyvagin conjecture logically, you should use...
In an instant, Cheng Nuo's inspiration burst!
………………
………………
PS: One word: hot! ! !
(End of this chapter)
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