Xueba starts with change
Chapter 278 A Wonderful State
Chapter 278 A Wonderful State
"Let's call it the distribution deconstruction method."
Chen Zhou glanced at Yang Yiyi in surprise: "You've been looking at me?"
Yang Yiyi smiled and nodded slightly.
"Hmm..." Chen Zhou pondered for a while, and then said with a strange expression, "Do you really want to call it DD method?"
Yang Yiyi didn't react for a while, but soon she understood what Chen Zhou meant.
"Hey, don't call it the DD method. How can distributed construction sound better than the distributed structure method?"
Seeing Yang Yiyi's disgusted face, Chen Zhou smiled happily instead.
Because Yang Yiyi didn't fully get his point.
But when I think about it, someone will use his method to study number theory, and every day you dd it, and he dds it, which is also quite fun.
"Then listen to you, it's called the distribution deconstruction method."
Chen Zhou picked up the pen, and wrote down the name Yang Yiyi chose under the line of text.
For such a moment, this kind of girlfriend can understand his own feelings, which makes Chen Zhou very happy.
"Hee hee, that's great. You do research, and I'll name it." Yang Yiyi looked at Chen Zhou from the side, and said playfully.
Chen Zhou looked at Yang Yiyi dotingly, couldn't hold back, and reached out to rub the girl's head.
After a pause, Chen Zhou asked softly, "Yiyi, since you've read it for so long, do you have any thoughts?"
Yang Yiyi tilted her head and thought for a while, then said softly: "Prime numbers, from the perspective of multiplication, are equivalent to the 'atoms' that make up integers. In terms of research on this 'atom', there have always been two major methods, and It is the sieve method and the circle method that you studied at the beginning."
"Yeah." Chen Zhou nodded slightly in agreement.
Yang Yiyi glanced at Chen Zhou, and continued: "But prime numbers themselves are 'random'. When researching, it is difficult to go straight to the end from these two methods."
"Hmm..." Speaking of this, Yang Yiyi pondered for a while, thinking about how to express herself.
Chen Zhou didn't hurry to rush her, and patiently waited for Yang Yiyi's next words.
"Actually, whether it is the sieve method or the circle method, what they have in common is to convert the prime number equation into an integer equation first, and then study the entire prime number problem."
"However, your current distribution deconstruction method is like adding a new transfer station in the middle to build a uniform distribution or random distribution formula."
"Consistent distribution can be regarded as 0-order randomness. In the same way, we can study and define 1-order, 2-order, and k-order randomness in depth."
"It should have created a new research field."
After Yang Yiyi finished speaking, she looked at Chen Zhou, but Chen Zhou was lost in thought.
Yang Yiyi's words were very simple, and they were indeed the result of Chen Zhou's actions.
However, Chen Zhou felt as if he had missed something.
As Yang Yiyi said, the classic idea of prime number research is to first convert prime number equations into integer equations.
Then solve the integer equation.
That is, the solution set is found on the set of positive integers.
The idea is very simple, almost equivalent to the entry-level questions of the high school Olympiad.
However, considering the difficulty of researching prime numbers themselves, it is not entry-level.
But this is also the brilliance of the method.
Turn difficult into easy, solve the unknown.
This is the basic idea of mathematical research.
The distribution deconstruction method that Chen Zhou thought about added a step.
There are more steps, but the overall difficulty has not changed.
Then naturally the difficulty of each step changes.
Just, is that really the case?
Seeing that Chen Zhou remained silent, Yang Yiyi was afraid that he might make a mistake because of his own words, so she whispered, "Happy, I actually don't understand many of your research methods, such as uniform distribution and random distribution. You can only figure it out by looking up the information, so you don’t have to take it too seriously.”
Chen Zhou still didn't respond, he fell into the circle of self-thinking.
"What is that point?"
Chen Zhou kept asking himself in his mind.
Yang Yiyi is really a little worried now, can she say that people are bewildered by talking?
She thought carefully about what she said just now, and didn't think of anything wrong.
"Did I say something wrong just now? That transfer station is actually just my feeling. You don't want to..." Yang Yiyi said cautiously.
Chen Zhou raised his head suddenly, looked at Yang Yiyi, and asked anxiously, "What did you just say?"
Yang Yiyi was taken aback for a moment, then said hesitantly, "Transfer station?"
"Yes, the transfer station..." Chen Zhou kept repeating.
Immediately, Chen Zhou's eyes brightened: "I understand, the difficulty is not divided equally on each level..."
"What do you mean?" Yang Yiyi was a little confused.
Chen Zhou smiled lightly at Yang Yiyi, reached out and rubbed Yang Yiyi's head vigorously: "Yiyi, thank you, you are really great!"
After finishing speaking, Chen Zhou's eyes became clear, and the thoughts in his mind had been opened.
Take out the paper and pen and write quickly.
Yang Yiyi felt baffled for a while.
But seeing Chen Zhou's current appearance, she also felt relieved.
"It seems that Kaixin really fell into a bewilderment just now, this will be broken, hmph!"
Yang Yiyi, who was thinking like this, pouted unconsciously.
Her attention could not help turning to the draft paper in front of Chen Zhou.
On the draft paper, Chen Zhou wrote:
【……When transforming the prime number equation into an integer equation, the solution set of the integer equation is not transformed into a set of all positive integers, but into a subset of positive integers with positive density...】
At this moment, Chen Zhou's thoughts were clear, and his hand holding the pen was extremely stable.
At this moment, he entered a strange state.
After these days of hard work, he finally got what he wanted.
Originally, he thought that he had completely figured out the distribution deconstruction method.
But after Yang Yiyi's unintentional remarks, he suddenly understood the real core idea of the distributed deconstruction method.
Breakthrough in thinking, plus technical improvement.
This is Chen Zhou's opportunity now.
Of course, he is still in the stage of ideological breakthrough.
Yang Yiyi watched it for a while, then stopped watching.
She is not a student of mathematics, nor does she specialize in number theory, so she can't understand it now.
However, Chen Zhou's focused side face still made her take a look from time to time.
After all, there's no better moment than admiring a boyfriend who's focused on work.
Time passed like this.
Chen Zhou has been in this strange state.
Until outside the library, the sky gradually darkened.
Chen Zhou just put down the pen in his hand.
This time, the train of thought was really smooth.
It was so smooth that he never stopped to touch the draft paper with a pen.
"Yes, this is the point..."
"Compared to the classic idea, which concentrates all the difficulties on the first step, the distributed deconstruction method cleverly shares the difficulty of the first step..."
"Although the difficulty of the second step has increased, the overall sharing has reduced the difficulty of the problem itself..."
Seeing the smile on Chen Zhou's face, Yang Yiyi knew that he had his own answer.
(End of this chapter)
"Let's call it the distribution deconstruction method."
Chen Zhou glanced at Yang Yiyi in surprise: "You've been looking at me?"
Yang Yiyi smiled and nodded slightly.
"Hmm..." Chen Zhou pondered for a while, and then said with a strange expression, "Do you really want to call it DD method?"
Yang Yiyi didn't react for a while, but soon she understood what Chen Zhou meant.
"Hey, don't call it the DD method. How can distributed construction sound better than the distributed structure method?"
Seeing Yang Yiyi's disgusted face, Chen Zhou smiled happily instead.
Because Yang Yiyi didn't fully get his point.
But when I think about it, someone will use his method to study number theory, and every day you dd it, and he dds it, which is also quite fun.
"Then listen to you, it's called the distribution deconstruction method."
Chen Zhou picked up the pen, and wrote down the name Yang Yiyi chose under the line of text.
For such a moment, this kind of girlfriend can understand his own feelings, which makes Chen Zhou very happy.
"Hee hee, that's great. You do research, and I'll name it." Yang Yiyi looked at Chen Zhou from the side, and said playfully.
Chen Zhou looked at Yang Yiyi dotingly, couldn't hold back, and reached out to rub the girl's head.
After a pause, Chen Zhou asked softly, "Yiyi, since you've read it for so long, do you have any thoughts?"
Yang Yiyi tilted her head and thought for a while, then said softly: "Prime numbers, from the perspective of multiplication, are equivalent to the 'atoms' that make up integers. In terms of research on this 'atom', there have always been two major methods, and It is the sieve method and the circle method that you studied at the beginning."
"Yeah." Chen Zhou nodded slightly in agreement.
Yang Yiyi glanced at Chen Zhou, and continued: "But prime numbers themselves are 'random'. When researching, it is difficult to go straight to the end from these two methods."
"Hmm..." Speaking of this, Yang Yiyi pondered for a while, thinking about how to express herself.
Chen Zhou didn't hurry to rush her, and patiently waited for Yang Yiyi's next words.
"Actually, whether it is the sieve method or the circle method, what they have in common is to convert the prime number equation into an integer equation first, and then study the entire prime number problem."
"However, your current distribution deconstruction method is like adding a new transfer station in the middle to build a uniform distribution or random distribution formula."
"Consistent distribution can be regarded as 0-order randomness. In the same way, we can study and define 1-order, 2-order, and k-order randomness in depth."
"It should have created a new research field."
After Yang Yiyi finished speaking, she looked at Chen Zhou, but Chen Zhou was lost in thought.
Yang Yiyi's words were very simple, and they were indeed the result of Chen Zhou's actions.
However, Chen Zhou felt as if he had missed something.
As Yang Yiyi said, the classic idea of prime number research is to first convert prime number equations into integer equations.
Then solve the integer equation.
That is, the solution set is found on the set of positive integers.
The idea is very simple, almost equivalent to the entry-level questions of the high school Olympiad.
However, considering the difficulty of researching prime numbers themselves, it is not entry-level.
But this is also the brilliance of the method.
Turn difficult into easy, solve the unknown.
This is the basic idea of mathematical research.
The distribution deconstruction method that Chen Zhou thought about added a step.
There are more steps, but the overall difficulty has not changed.
Then naturally the difficulty of each step changes.
Just, is that really the case?
Seeing that Chen Zhou remained silent, Yang Yiyi was afraid that he might make a mistake because of his own words, so she whispered, "Happy, I actually don't understand many of your research methods, such as uniform distribution and random distribution. You can only figure it out by looking up the information, so you don’t have to take it too seriously.”
Chen Zhou still didn't respond, he fell into the circle of self-thinking.
"What is that point?"
Chen Zhou kept asking himself in his mind.
Yang Yiyi is really a little worried now, can she say that people are bewildered by talking?
She thought carefully about what she said just now, and didn't think of anything wrong.
"Did I say something wrong just now? That transfer station is actually just my feeling. You don't want to..." Yang Yiyi said cautiously.
Chen Zhou raised his head suddenly, looked at Yang Yiyi, and asked anxiously, "What did you just say?"
Yang Yiyi was taken aback for a moment, then said hesitantly, "Transfer station?"
"Yes, the transfer station..." Chen Zhou kept repeating.
Immediately, Chen Zhou's eyes brightened: "I understand, the difficulty is not divided equally on each level..."
"What do you mean?" Yang Yiyi was a little confused.
Chen Zhou smiled lightly at Yang Yiyi, reached out and rubbed Yang Yiyi's head vigorously: "Yiyi, thank you, you are really great!"
After finishing speaking, Chen Zhou's eyes became clear, and the thoughts in his mind had been opened.
Take out the paper and pen and write quickly.
Yang Yiyi felt baffled for a while.
But seeing Chen Zhou's current appearance, she also felt relieved.
"It seems that Kaixin really fell into a bewilderment just now, this will be broken, hmph!"
Yang Yiyi, who was thinking like this, pouted unconsciously.
Her attention could not help turning to the draft paper in front of Chen Zhou.
On the draft paper, Chen Zhou wrote:
【……When transforming the prime number equation into an integer equation, the solution set of the integer equation is not transformed into a set of all positive integers, but into a subset of positive integers with positive density...】
At this moment, Chen Zhou's thoughts were clear, and his hand holding the pen was extremely stable.
At this moment, he entered a strange state.
After these days of hard work, he finally got what he wanted.
Originally, he thought that he had completely figured out the distribution deconstruction method.
But after Yang Yiyi's unintentional remarks, he suddenly understood the real core idea of the distributed deconstruction method.
Breakthrough in thinking, plus technical improvement.
This is Chen Zhou's opportunity now.
Of course, he is still in the stage of ideological breakthrough.
Yang Yiyi watched it for a while, then stopped watching.
She is not a student of mathematics, nor does she specialize in number theory, so she can't understand it now.
However, Chen Zhou's focused side face still made her take a look from time to time.
After all, there's no better moment than admiring a boyfriend who's focused on work.
Time passed like this.
Chen Zhou has been in this strange state.
Until outside the library, the sky gradually darkened.
Chen Zhou just put down the pen in his hand.
This time, the train of thought was really smooth.
It was so smooth that he never stopped to touch the draft paper with a pen.
"Yes, this is the point..."
"Compared to the classic idea, which concentrates all the difficulties on the first step, the distributed deconstruction method cleverly shares the difficulty of the first step..."
"Although the difficulty of the second step has increased, the overall sharing has reduced the difficulty of the problem itself..."
Seeing the smile on Chen Zhou's face, Yang Yiyi knew that he had his own answer.
(End of this chapter)
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