Once this inspiration comes, I can't stop writing, and I'm not even hungry anymore.
At this time, Huang Guangming and Liu Rui also followed through the door carrying lunch boxes.
[Suppose the finite group G and |G|=p1α1p2α2···piαi, where pi is a prime number and αi is a positive integer. Let p∈π(G), define deg(p)=|{q∈π(G)|p~q)|
There is nothing to say for the sake of interest. If you are not really interested, everyone will just switch to engineering majors with promising financial prospects.
When sensitivity is exhausted, all work is to prepare for the moment when inspiration comes. And when he really thought about the solution to this problem, he found the exit of the maze, which seemed to be right in front of him.
Occasionally, he still has to take the time to reply to Professor Frank's emails. Although there is no new data coming from CERN, the work of improving the theory also requires calculations.
I thought it wouldn't take long, but I was shocked when I saw the time.
[... Due to space reasons, I will explain the detailed theory of "Group Construction Method" in detail in the next paper.]
Using the method of group theory, we study the problem of infinity as a whole, and extend the "K=1" form to "k is an infinite natural number", thoroughly proving that "for all natural numbers k, there are infinite pairs of prime numbers (p, p+2k)" proposition.
Lu Zhou, whose whole body was filled with spiritual food, felt full of energy. He took the pen and began to write down rows of calculations on the paper.
Target, Annals of Mathematics!
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
…
For example, inspired by Fermat's problem, Coomer introduced the concept of ideal numbers and discovered the unique decomposition theorem that decomposes a number in a cyclic field into ideal prime factors. This theorem has been popularized by Dedekind and Kronecker today. To any algebraic domain, it occupies a central position in modern number theory, and its significance has gone far beyond the scope of number theory and penetrated into the field of algebraic function theory.
"Finally it's fucking done!"
After returning from class outside, Shi Shang opened the door and walked in with his lunch box. When he saw Lu Zhou lying on the table and writing furiously, he yelled out of curiosity.
[Suppose the finite group G and |G|=p1α1p2α2···piαi, where pi is a prime number and αi is a positive integer. Let p∈π(G), define deg(p)=|{q∈π(G)|p~q)|
Although it seems to be just an extension of the twin prime conjecture to the form where the distance between pairs of prime numbers is infinite, the difficulty is only known to him as the prover.
It doesn't matter if you look at it.
Occasionally, he still has to take the time to reply to Professor Frank's emails. Although there is no new data coming from CERN, the work of improving the theory also requires calculations.
Rome was not built in a day. A complete theory requires not only a burst of inspiration, but also the accumulation of time.
Looking at the finished product on the screen, Lu Zhou checked it twice for the last time and nodded with satisfaction.
Call deg(p) the degree of vertex p. Then define C(G)=…
This new method was called "the overall structure research method of group theory" by him, or "group structure method" for short.
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
…
For several days in a row, Lu Zhou spent most of his time in the library during the day and returned to his dormitory at night to continue studying.
In the end, Lu Zhou couldn't hold on anymore. He hurried to the cafeteria to have dinner before it was occupied by junior students in green military uniforms, and then came back and continued to work hard.
This is the value of number theory.
"You can't afford to offend him." Huang Guangming shook his head and retreated.
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
…
People are like iron, and food is like steel. He will feel hungry if he doesn't eat even one meal, not to mention that he hasn't had breakfast yet.
Lu Zhou, whose whole body was filled with spiritual food, felt full of energy. He took the pen and began to write down rows of calculations on the paper.
"write thesis."
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
When sensitivity is exhausted, all work is to prepare for the moment when inspiration comes. And when he really thought about the solution to this problem, he found the exit of the maze, which seemed to be right in front of him.
The original sieve method theory has been used to the extreme by Mr. Chen. The number theory community generally believes that if you want to solve the "1+1" form of Goldbach's conjecture, you must find a new method.
]
Before I knew it, five pieces of draft paper had been filled.
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
"You can't afford to offend him." Huang Guangming shook his head and retreated.
Not only because he solved another mathematical problem, but also because solving this mathematical problem gave him a deeper understanding of group theory, and based on this, he developed a new set of mathematical methods.
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
"write thesis."
"You must not be offended, or you will be the one who makes big news." He patted Xiaojian on the shoulder and sighed, and Shi Shang also retreated with an expression of giving up on treatment.
"You must not be offended, or you will be the one who makes big news." He patted Xiaojian on the shoulder and sighed, and Shi Shang also retreated with an expression of giving up on treatment.
Time passed by minute by minute, but the feeling of flowing thoughts never stopped for a moment.
…
]
Time passed by minute by minute, but the feeling of flowing thoughts never stopped for a moment.
After reading it, I was immediately confused.
"Finally it's fucking done!"
The inspiration last time was borrowed, but the inspiration this time was conceived by himself.
This feeling is different from last time.
So far, the Polignac conjecture has been proved.
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
The inspiration last time was borrowed, but the inspiration this time was conceived by himself.
Throwing his schoolbag on the table, Liu Rui took out his professional coursework, while Huang Guangming walked behind Lu Zhou curiously and glanced at the paper.
People are like iron, and food is like steel. He will feel hungry if he doesn't eat even one meal, not to mention that he hasn't had breakfast yet.
This new method was called "the overall structure research method of group theory" by him, or "group structure method" for short.
Even Professor Zerbeck, who was the first to introduce topology principles into sieve theory in 1995, had not expected this.
"Zhoucao, it's already five o'clock?!"
Call deg(p) the degree of vertex p. Then define C(G)=…
At this time, Huang Guangming and Liu Rui also followed through the door carrying lunch boxes.
The tip of the pen moves across the paper.
When sensitivity is exhausted, all work is to prepare for the moment when inspiration comes. And when he really thought about the solution to this problem, he found the exit of the maze, which seemed to be right in front of him.
For example, inspired by Fermat's problem, Coomer introduced the concept of ideal numbers and discovered the unique decomposition theorem that decomposes a number in a cyclic field into ideal prime factors. This theorem has been popularized by Dedekind and Kronecker today. To any algebraic domain, it occupies a central position in modern number theory, and its significance has gone far beyond the scope of number theory and penetrated into the field of algebraic function theory.
"Finally it's fucking done!"
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
After returning from class outside, Shi Shang opened the door and walked in with his lunch box. When he saw Lu Zhou lying on the table and writing furiously, he yelled out of curiosity.
"You can't afford to offend him." Huang Guangming shook his head and retreated.
Before I knew it, five pieces of draft paper had been filled.
This feeling is different from last time.
Lu Zhou, whose whole body was filled with spiritual food, felt full of energy. He took the pen and began to write down rows of calculations on the paper.
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
This feeling is different from last time.
Using the method of group theory, we study the problem of infinity as a whole, and extend the "K=1" form to "k is an infinite natural number", thoroughly proving that "for all natural numbers k, there are infinite pairs of prime numbers (p, p+2k)" proposition.
But that part is no longer the focus of this paper.
It’s hard to think about switching from science to science.
I thought it wouldn't take long, but I was shocked when I saw the time.
Everything falls into place.
The tip of the pen moves across the paper.
Using the method of group theory, we study the problem of infinity as a whole, and extend the "K=1" form to "k is an infinite natural number", thoroughly proving that "for all natural numbers k, there are infinite pairs of prime numbers (p, p+2k)" proposition.
"You can't afford to offend him." Huang Guangming shook his head and retreated.
In the end, Lu Zhou couldn't hold on anymore. He hurried to the cafeteria to have dinner before it was occupied by junior students in green military uniforms, and then came back and continued to work hard.
]
"Zhoucao, it's already five o'clock?!"
Occasionally, he still has to take the time to reply to Professor Frank's emails. Although there is no new data coming from CERN, the work of improving the theory also requires calculations.
Lu Zhou also completed this work when solving the Polignac conjecture and found a unique solution path for this conjecture.
"Finally it's fucking done!"
Hearing Xiao Jian's voice, Shi Shang stopped eating and walked over curiously.
Everything falls into place.
Once this inspiration comes, I can't stop writing, and I'm not even hungry anymore.
And this discovery made him even more excited than solving the mathematical conjecture itself.
This new method was called "the overall structure research method of group theory" by him, or "group structure method" for short.
People are like iron, and food is like steel. He will feel hungry if he doesn't eat even one meal, not to mention that he hasn't had breakfast yet.
It doesn't matter if you look at it.
At this moment, Lu Zhou felt indescribably happy.
Although it seems incomprehensible to others, he enjoys it himself.
"You must not be offended, or you will be the one who makes big news." He patted Xiaojian on the shoulder and sighed, and Shi Shang also retreated with an expression of giving up on treatment.
Time passed by minute by minute, but the feeling of flowing thoughts never stopped for a moment.
"write thesis."
In the end, Lu Zhou couldn't hold on anymore. He hurried to the cafeteria to have dinner before it was occupied by junior students in green military uniforms, and then came back and continued to work hard.
When sensitivity is exhausted, all work is to prepare for the moment when inspiration comes. And when he really thought about the solution to this problem, he found the exit of the maze, which seemed to be right in front of him.
For example, inspired by Fermat's problem, Coomer introduced the concept of ideal numbers and discovered the unique decomposition theorem that decomposes a number in a cyclic field into ideal prime factors. This theorem has been popularized by Dedekind and Kronecker today. To any algebraic domain, it occupies a central position in modern number theory, and its significance has gone far beyond the scope of number theory and penetrated into the field of algebraic function theory.
After returning from class outside, Shi Shang opened the door and walked in with his lunch box. When he saw Lu Zhou lying on the table and writing furiously, he yelled out of curiosity.
It's half past six.
It doesn't matter if you look at it.
Lu Zhou also completed this work when solving the Polignac conjecture and found a unique solution path for this conjecture.
"Elbow, what are you doing? Do you still have homework as a graduate student?"
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
"Zhoucao, Jiuzi, why can't I understand a word of what you wrote?"
After returning from class outside, Shi Shang opened the door and walked in with his lunch box. When he saw Lu Zhou lying on the table and writing furiously, he yelled out of curiosity.
Liu Rui, who was writing his professional coursework, turned the pen in his hand and became more and more calm in the face of the various tricks of his elbow: "It's not too out of line. Among the interdisciplinary electives in professional elective courses, there are Lie groups and Lie algebras... have nothing to do with our algebra, unless you plan to switch to theoretical physics."
There is nothing to say for the sake of interest. If you are not really interested, everyone will just switch to engineering majors with promising financial prospects.
The description may only take one or two sentences, but if you want to explain this solution in detail, you may need several large blackboards.
The same goes for Lu Zhou's work at the Princeton academic conference. He applied topology to supplement the sieve method theory and cleverly solved the twin prime conjecture.
"Just write it here."
"Elbow, what are you doing? Do you still have homework as a graduate student?"
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
"Just write it here."
The description may only take one or two sentences, but if you want to explain this solution in detail, you may need several large blackboards.
It's half past six.
Liu Rui, who was writing his professional coursework, turned the pen in his hand and became more and more calm in the face of the various tricks of his elbow: "It's not too out of line. Among the interdisciplinary electives in professional elective courses, there are Lie groups and Lie algebras... have nothing to do with our algebra, unless you plan to switch to theoretical physics."
The same goes for Lu Zhou's work at the Princeton academic conference. He applied topology to supplement the sieve method theory and cleverly solved the twin prime conjecture.
"You must not be offended, or you will be the one who makes big news." He patted Xiaojian on the shoulder and sighed, and Shi Shang also retreated with an expression of giving up on treatment.
Just as he reached the critical point, Lu Zhou replied casually without raising his head.
Hearing Xiao Jian's voice, Shi Shang stopped eating and walked over curiously.
Call deg(p) the degree of vertex p. Then define C(G)=…
"write thesis."
Just as he reached the critical point, Lu Zhou replied casually without raising his head.
In the end, Lu Zhou couldn't hold on anymore. He hurried to the cafeteria to have dinner before it was occupied by junior students in green military uniforms, and then came back and continued to work hard.
Every day, Lu Zhou lived a fulfilling life.
At this time, Huang Guangming and Liu Rui also followed through the door carrying lunch boxes.
"Just write it here."
Although it seems to be just an extension of the twin prime conjecture to the form where the distance between pairs of prime numbers is infinite, the difficulty is only known to him as the prover.
"You can't afford to offend him." Huang Guangming shook his head and retreated.
After returning from class outside, Shi Shang opened the door and walked in with his lunch box. When he saw Lu Zhou lying on the table and writing furiously, he yelled out of curiosity.
This new method was called "the overall structure research method of group theory" by him, or "group structure method" for short.
Throwing his schoolbag on the table, Liu Rui took out his professional coursework, while Huang Guangming walked behind Lu Zhou curiously and glanced at the paper.
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
The original sieve method theory has been used to the extreme by Mr. Chen. The number theory community generally believes that if you want to solve the "1+1" form of Goldbach's conjecture, you must find a new method.
After returning from class outside, Shi Shang opened the door and walked in with his lunch box. When he saw Lu Zhou lying on the table and writing furiously, he yelled out of curiosity.
It doesn't matter if you look at it.
The same goes for Lu Zhou's work at the Princeton academic conference. He applied topology to supplement the sieve method theory and cleverly solved the twin prime conjecture.
Lu Zhou: "...?"
So far, the Polignac conjecture has been proved.
"The flattery is exaggerated, little bitch, we are not a freshman now, we are already a junior. You can't understand the process, but you can understand the symbols... Hold the grass, I am not wrong, this thing is group theory, right? …It’s beyond the scope of the standard!”
Hearing Xiao Jian's voice, Shi Shang stopped eating and walked over curiously.
After reading it, I was immediately confused.
Lu Zhou: "...?"
"write thesis."
Even Professor Zerbeck, who was the first to introduce topology principles into sieve theory in 1995, had not expected this.
"Zhoucao, Jiuzi, why can't I understand a word of what you wrote?"
Lu Zhou, whose whole body was filled with spiritual food, felt full of energy. He took the pen and began to write down rows of calculations on the paper.
Re-format, compress and upload.
[... Due to space reasons, I will explain the detailed theory of "Group Construction Method" in detail in the next paper.]
Lu Zhou also completed this work when solving the Polignac conjecture and found a unique solution path for this conjecture.
Hearing Xiao Jian's voice, Shi Shang stopped eating and walked over curiously.
Not only because he solved another mathematical problem, but also because solving this mathematical problem gave him a deeper understanding of group theory, and based on this, he developed a new set of mathematical methods.
Lu Zhou, whose whole body was filled with spiritual food, felt full of energy. He took the pen and began to write down rows of calculations on the paper.
At this time, Huang Guangming and Liu Rui also followed through the door carrying lunch boxes.
The description may only take one or two sentences, but if you want to explain this solution in detail, you may need several large blackboards.
There is nothing to say for the sake of interest. If you are not really interested, everyone will just switch to engineering majors with promising financial prospects.
"The flattery is exaggerated, little bitch, we are not a freshman now, we are already a junior. You can't understand the process, but you can understand the symbols... Hold the grass, I am not wrong, this thing is group theory, right? …It’s beyond the scope of the standard!”
Although it seems to be just an extension of the twin prime conjecture to the form where the distance between pairs of prime numbers is infinite, the difficulty is only known to him as the prover.
The inspiration last time was borrowed, but the inspiration this time was conceived by himself.
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
]
"Elbow, what are you doing? Do you still have homework as a graduate student?"
The original sieve method theory has been used to the extreme by Mr. Chen. The number theory community generally believes that if you want to solve the "1+1" form of Goldbach's conjecture, you must find a new method.
Liu Rui, who was writing his professional coursework, turned the pen in his hand and became more and more calm in the face of the various tricks of his elbow: "It's not too out of line. Among the interdisciplinary electives in professional elective courses, there are Lie groups and Lie algebras... have nothing to do with our algebra, unless you plan to switch to theoretical physics."
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
Looking at the finished product on the screen, Lu Zhou checked it twice for the last time and nodded with satisfaction.
Lu Zhou also completed this work when solving the Polignac conjecture and found a unique solution path for this conjecture.
This new method was called "the overall structure research method of group theory" by him, or "group structure method" for short.
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
It’s hard to think about switching from science to science.
And this discovery made him even more excited than solving the mathematical conjecture itself.
Lu Zhou: "...?"
There is actually a lot more that can be written about the detailed theory of the group construction method, and even summarizing it all would be longer than the proof process itself.
"Finally it's fucking done!"
The inspiration last time was borrowed, but the inspiration this time was conceived by himself.
After returning from class outside, Shi Shang opened the door and walked in with his lunch box. When he saw Lu Zhou lying on the table and writing furiously, he yelled out of curiosity.
The same goes for Lu Zhou's work at the Princeton academic conference. He applied topology to supplement the sieve method theory and cleverly solved the twin prime conjecture.
There is nothing to say for the sake of interest. If you are not really interested, everyone will just switch to engineering majors with promising financial prospects.
At this moment, Lu Zhou felt indescribably happy.
Lu Zhou thought for a while and added a line at the end of the paper.
Lu Zhou, whose whole body was filled with spiritual food, felt full of energy. He took the pen and began to write down rows of calculations on the paper.
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
"Just write it here."
Time passed by minute by minute, but the feeling of flowing thoughts never stopped for a moment.
"You can't afford to offend him." Huang Guangming shook his head and retreated.
Before I knew it, five pieces of draft paper had been filled.
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
Once this inspiration comes, I can't stop writing, and I'm not even hungry anymore.
Although it seems to be just an extension of the twin prime conjecture to the form where the distance between pairs of prime numbers is infinite, the difficulty is only known to him as the prover.
"You must not be offended, or you will be the one who makes big news." He patted Xiaojian on the shoulder and sighed, and Shi Shang also retreated with an expression of giving up on treatment.
[... Due to space reasons, I will explain the detailed theory of "Group Construction Method" in detail in the next paper.]
Looking at the finished product on the screen, Lu Zhou checked it twice for the last time and nodded with satisfaction.
The same goes for Lu Zhou's work at the Princeton academic conference. He applied topology to supplement the sieve method theory and cleverly solved the twin prime conjecture.
Lu Zhou: "...?"
"The flattery is exaggerated, little bitch, we are not a freshman now, we are already a junior. You can't understand the process, but you can understand the symbols... Hold the grass, I am not wrong, this thing is group theory, right? …It’s beyond the scope of the standard!”
After returning from class outside, Shi Shang opened the door and walked in with his lunch box. When he saw Lu Zhou lying on the table and writing furiously, he yelled out of curiosity.
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
It's half past six.
The inspiration last time was borrowed, but the inspiration this time was conceived by himself.
Once this inspiration comes, I can't stop writing, and I'm not even hungry anymore.
This new method was called "the overall structure research method of group theory" by him, or "group structure method" for short.
…
"Zhoucao, it's already five o'clock?!"
Hearing Xiao Jian's voice, Shi Shang stopped eating and walked over curiously.
There is actually a lot more that can be written about the detailed theory of the group construction method, and even summarizing it all would be longer than the proof process itself.
"Zhoucao, Jiuzi, why can't I understand a word of what you wrote?"
Every day, Lu Zhou lived a fulfilling life.
It's half past six.
It's half past six.
Rome was not built in a day. A complete theory requires not only a burst of inspiration, but also the accumulation of time.
"You can't afford to offend him." Huang Guangming shook his head and retreated.
Re-format, compress and upload.
After reading it, I was immediately confused.
Liu Rui, who was writing his professional coursework, turned the pen in his hand and became more and more calm in the face of the various tricks of his elbow: "It's not too out of line. Among the interdisciplinary electives in professional elective courses, there are Lie groups and Lie algebras... have nothing to do with our algebra, unless you plan to switch to theoretical physics."
]
For several days in a row, Lu Zhou spent most of his time in the library during the day and returned to his dormitory at night to continue studying.
Not only because he solved another mathematical problem, but also because solving this mathematical problem gave him a deeper understanding of group theory, and based on this, he developed a new set of mathematical methods.
"You can't afford to offend him." Huang Guangming shook his head and retreated.
Lu Zhou: "...?"
In the second week of September, on a sunny morning, Lu Zhou was sitting in the library, stretched out, looked at the dozen or so pages of paper in front of him, and sighed in his heart.
Occasionally, he still has to take the time to reply to Professor Frank's emails. Although there is no new data coming from CERN, the work of improving the theory also requires calculations.
The description may only take one or two sentences, but if you want to explain this solution in detail, you may need several large blackboards.
Time passed by minute by minute, but the feeling of flowing thoughts never stopped for a moment.
So far, the Polignac conjecture has been proved.
Rome was not built in a day. A complete theory requires not only a burst of inspiration, but also the accumulation of time.
Call deg(p) the degree of vertex p. Then define C(G)=…
Every day, Lu Zhou lived a fulfilling life.
For several days in a row, Lu Zhou spent most of his time in the library during the day and returned to his dormitory at night to continue studying.
Although it seems incomprehensible to others, he enjoys it himself.
Although it seems incomprehensible to others, he enjoys it himself.
Hilbert once commented that Fermat's last theorem is a chicken that can lay golden eggs. It is not because this hen has fed a large number of mathematicians, nor is it because this hen has provided many journals with the opportunity to write water papers. , but because many novel mathematical methods are derived from the study of number theory problems.
"Zhoucao, it's already five o'clock?!"
In the second week of September, on a sunny morning, Lu Zhou was sitting in the library, stretched out, looked at the dozen or so pages of paper in front of him, and sighed in his heart.
Once this inspiration comes, I can't stop writing, and I'm not even hungry anymore.
The tip of the pen moves across the paper.
At this moment, Lu Zhou felt indescribably happy.
Call deg(p) the degree of vertex p. Then define C(G)=…
"Finally it's fucking done!"
Lu Zhou also completed this work when solving the Polignac conjecture and found a unique solution path for this conjecture.
[... Due to space reasons, I will explain the detailed theory of "Group Construction Method" in detail in the next paper.]
"Zhoucao, Jiuzi, why can't I understand a word of what you wrote?"
The tip of the pen moves across the paper.
For example, inspired by Fermat's problem, Coomer introduced the concept of ideal numbers and discovered the unique decomposition theorem that decomposes a number in a cyclic field into ideal prime factors. This theorem has been popularized by Dedekind and Kronecker today. To any algebraic domain, it occupies a central position in modern number theory, and its significance has gone far beyond the scope of number theory and penetrated into the field of algebraic function theory.
When sensitivity is exhausted, all work is to prepare for the moment when inspiration comes. And when he really thought about the solution to this problem, he found the exit of the maze, which seemed to be right in front of him.
"write thesis."
People are like iron, and food is like steel. He will feel hungry if he doesn't eat even one meal, not to mention that he hasn't had breakfast yet.
This is the value of number theory.
"Finally it's fucking done!"
Everything falls into place.
Before I knew it, five pieces of draft paper had been filled.
In the end, Lu Zhou couldn't hold on anymore. He hurried to the cafeteria to have dinner before it was occupied by junior students in green military uniforms, and then came back and continued to work hard.
Throwing his schoolbag on the table, Liu Rui took out his professional coursework, while Huang Guangming walked behind Lu Zhou curiously and glanced at the paper.
At this moment, Lu Zhou felt indescribably happy.
Liu Rui, who was writing his professional coursework, turned the pen in his hand and became more and more calm in the face of the various tricks of his elbow: "It's not too out of line. Among the interdisciplinary electives in professional elective courses, there are Lie groups and Lie algebras... have nothing to do with our algebra, unless you plan to switch to theoretical physics."
Although it seems incomprehensible to others, he enjoys it himself.
People are like iron, and food is like steel. He will feel hungry if he doesn't eat even one meal, not to mention that he hasn't had breakfast yet.
It’s hard to think about switching from science to science.
Hearing Xiao Jian's voice, Shi Shang stopped eating and walked over curiously.
The same goes for Lu Zhou's work at the Princeton academic conference. He applied topology to supplement the sieve method theory and cleverly solved the twin prime conjecture.
It took a whole day to organize all the processes on the computer and convert them into PDF format.
Everything falls into place.
Not only because he solved another mathematical problem, but also because solving this mathematical problem gave him a deeper understanding of group theory, and based on this, he developed a new set of mathematical methods.
The original sieve method theory has been used to the extreme by Mr. Chen. The number theory community generally believes that if you want to solve the "1+1" form of Goldbach's conjecture, you must find a new method.
But that part is no longer the focus of this paper.
[... Due to space reasons, I will explain the detailed theory of "Group Construction Method" in detail in the next paper.]
And this discovery made him even more excited than solving the mathematical conjecture itself.
[... Due to space reasons, I will explain the detailed theory of "Group Construction Method" in detail in the next paper.]
"write thesis."
Liu Rui, who was writing his professional coursework, turned the pen in his hand and became more and more calm in the face of the various tricks of his elbow: "It's not too out of line. Among the interdisciplinary electives in professional elective courses, there are Lie groups and Lie algebras... have nothing to do with our algebra, unless you plan to switch to theoretical physics."
[Suppose the finite group G and |G|=p1α1p2α2···piαi, where pi is a prime number and αi is a positive integer. Let p∈π(G), define deg(p)=|{q∈π(G)|p~q)|
Looking at the finished product on the screen, Lu Zhou checked it twice for the last time and nodded with satisfaction.
Re-format, compress and upload.
Time passed by minute by minute, but the feeling of flowing thoughts never stopped for a moment.
Hilbert once commented that Fermat's last theorem is a chicken that can lay golden eggs. It is not because this hen has fed a large number of mathematicians, nor is it because this hen has provided many journals with the opportunity to write water papers. , but because many novel mathematical methods are derived from the study of number theory problems.
When sensitivity is exhausted, all work is to prepare for the moment when inspiration comes. And when he really thought about the solution to this problem, he found the exit of the maze, which seemed to be right in front of him.
The tip of the pen moves across the paper.
Lu Zhou also completed this work when solving the Polignac conjecture and found a unique solution path for this conjecture.
For example, inspired by Fermat's problem, Coomer introduced the concept of ideal numbers and discovered the unique decomposition theorem that decomposes a number in a cyclic field into ideal prime factors. This theorem has been popularized by Dedekind and Kronecker today. To any algebraic domain, it occupies a central position in modern number theory, and its significance has gone far beyond the scope of number theory and penetrated into the field of algebraic function theory.
Rome was not built in a day. A complete theory requires not only a burst of inspiration, but also the accumulation of time.
This new method was called "the overall structure research method of group theory" by him, or "group structure method" for short.
People are like iron, and food is like steel. He will feel hungry if he doesn't eat even one meal, not to mention that he hasn't had breakfast yet.
The same goes for Lu Zhou's work at the Princeton academic conference. He applied topology to supplement the sieve method theory and cleverly solved the twin prime conjecture.
Re-format, compress and upload.
"Finally it's fucking done!"
Call deg(p) the degree of vertex p. Then define C(G)=…
"You must not be offended, or you will be the one who makes big news." He patted Xiaojian on the shoulder and sighed, and Shi Shang also retreated with an expression of giving up on treatment.
Occasionally, he still has to take the time to reply to Professor Frank's emails. Although there is no new data coming from CERN, the work of improving the theory also requires calculations.
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
The original sieve method theory has been used to the extreme by Mr. Chen. The number theory community generally believes that if you want to solve the "1+1" form of Goldbach's conjecture, you must find a new method.
Re-format, compress and upload.
[... Due to space reasons, I will explain the detailed theory of "Group Construction Method" in detail in the next paper.]
Call deg(p) the degree of vertex p. Then define C(G)=…
Before I knew it, five pieces of draft paper had been filled.
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
Every day, Lu Zhou lived a fulfilling life.
There is nothing to say for the sake of interest. If you are not really interested, everyone will just switch to engineering majors with promising financial prospects.
This is the value of number theory.
This is the value of number theory.
Even Professor Zerbeck, who was the first to introduce topology principles into sieve theory in 1995, had not expected this.
Every day, Lu Zhou lived a fulfilling life.
People are like iron, and food is like steel. He will feel hungry if he doesn't eat even one meal, not to mention that he hasn't had breakfast yet.
Call deg(p) the degree of vertex p. Then define C(G)=…
Lu Zhou: "...?"
It took a whole day to organize all the processes on the computer and convert them into PDF format.
So far, the Polignac conjecture has been proved.
In the end, Lu Zhou couldn't hold on anymore. He hurried to the cafeteria to have dinner before it was occupied by junior students in green military uniforms, and then came back and continued to work hard.
This is the value of number theory.
Rome was not built in a day. A complete theory requires not only a burst of inspiration, but also the accumulation of time.
Using the method of group theory, we study the problem of infinity as a whole, and extend the "K=1" form to "k is an infinite natural number", thoroughly proving that "for all natural numbers k, there are infinite pairs of prime numbers (p, p+2k)" proposition.
"The flattery is exaggerated, little bitch, we are not a freshman now, we are already a junior. You can't understand the process, but you can understand the symbols... Hold the grass, I am not wrong, this thing is group theory, right? …It’s beyond the scope of the standard!”
But that part is no longer the focus of this paper.
…
Lu Zhou also completed this work when solving the Polignac conjecture and found a unique solution path for this conjecture.
Looking at the finished product on the screen, Lu Zhou checked it twice for the last time and nodded with satisfaction.
At this moment, Lu Zhou felt indescribably happy.
People are like iron, and food is like steel. He will feel hungry if he doesn't eat even one meal, not to mention that he hasn't had breakfast yet.
Although it seems incomprehensible to others, he enjoys it himself.
This new method was called "the overall structure research method of group theory" by him, or "group structure method" for short.
Rome was not built in a day. A complete theory requires not only a burst of inspiration, but also the accumulation of time.
The description may only take one or two sentences, but if you want to explain this solution in detail, you may need several large blackboards.
Occasionally, he still has to take the time to reply to Professor Frank's emails. Although there is no new data coming from CERN, the work of improving the theory also requires calculations.
The original sieve method theory has been used to the extreme by Mr. Chen. The number theory community generally believes that if you want to solve the "1+1" form of Goldbach's conjecture, you must find a new method.
Not only because he solved another mathematical problem, but also because solving this mathematical problem gave him a deeper understanding of group theory, and based on this, he developed a new set of mathematical methods.
…
"You must not be offended, or you will be the one who makes big news." He patted Xiaojian on the shoulder and sighed, and Shi Shang also retreated with an expression of giving up on treatment.
Every day, Lu Zhou lived a fulfilling life.
Using the method of group theory, we study the problem of infinity as a whole, and extend the "K=1" form to "k is an infinite natural number", thoroughly proving that "for all natural numbers k, there are infinite pairs of prime numbers (p, p+2k)" proposition.
Lu Zhou: "...?"
Hilbert once commented that Fermat's last theorem is a chicken that can lay golden eggs. It is not because this hen has fed a large number of mathematicians, nor is it because this hen has provided many journals with the opportunity to write water papers. , but because many novel mathematical methods are derived from the study of number theory problems.
After reading it, I was immediately confused.
"Elbow, what are you doing? Do you still have homework as a graduate student?"
The description may only take one or two sentences, but if you want to explain this solution in detail, you may need several large blackboards.
Time passed by minute by minute, but the feeling of flowing thoughts never stopped for a moment.
Just as he reached the critical point, Lu Zhou replied casually without raising his head.
After reading it, I was immediately confused.
It took a whole day to organize all the processes on the computer and convert them into PDF format.
At this moment, Lu Zhou felt indescribably happy.
Before I knew it, five pieces of draft paper had been filled.
"You can't afford to offend him." Huang Guangming shook his head and retreated.
Looking at the finished product on the screen, Lu Zhou checked it twice for the last time and nodded with satisfaction.
Lu Zhou thought for a while and added a line at the end of the paper.
Once this inspiration comes, I can't stop writing, and I'm not even hungry anymore.
…
But now it seems that there has been some turning point, and the sieving method theory still has value worth exploring further.
The same goes for Lu Zhou's work at the Princeton academic conference. He applied topology to supplement the sieve method theory and cleverly solved the twin prime conjecture.
"Just write it here."
Target, Annals of Mathematics!
There is nothing to say for the sake of interest. If you are not really interested, everyone will just switch to engineering majors with promising financial prospects.
"Zhoucao, it's already five o'clock?!"
Looking at the finished product on the screen, Lu Zhou checked it twice for the last time and nodded with satisfaction.
There is actually a lot more that can be written about the detailed theory of the group construction method, and even summarizing it all would be longer than the proof process itself.
"Elbow, what are you doing? Do you still have homework as a graduate student?"
"Zhoucao, Jiuzi, why can't I understand a word of what you wrote?"
But that part is no longer the focus of this paper.
After reading it, I was immediately confused.
And this discovery made him even more excited than solving the mathematical conjecture itself.
So far, the Polignac conjecture has been proved.
Although it seems incomprehensible to others, he enjoys it himself.
[Suppose the finite group G and |G|=p1α1p2α2···piαi, where pi is a prime number and αi is a positive integer. Let p∈π(G), define deg(p)=|{q∈π(G)|p~q)|
The description may only take one or two sentences, but if you want to explain this solution in detail, you may need several large blackboards.
"You can't afford to offend him." Huang Guangming shook his head and retreated.
Call deg(p) the degree of vertex p. Then define C(G)=…
Hilbert once commented that Fermat's last theorem is a chicken that can lay golden eggs. It is not because this hen has fed a large number of mathematicians, nor is it because this hen has provided many journals with the opportunity to write water papers. , but because many novel mathematical methods are derived from the study of number theory problems.
…
Although it seems to be just an extension of the twin prime conjecture to the form where the distance between pairs of prime numbers is infinite, the difficulty is only known to him as the prover.
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
In the end, Lu Zhou couldn't hold on anymore. He hurried to the cafeteria to have dinner before it was occupied by junior students in green military uniforms, and then came back and continued to work hard.
The same goes for Lu Zhou's work at the Princeton academic conference. He applied topology to supplement the sieve method theory and cleverly solved the twin prime conjecture.
Lu Zhou thought for a while and added a line at the end of the paper.
It's half past six.
So far, the Polignac conjecture has been proved.
Once this inspiration comes, I can't stop writing, and I'm not even hungry anymore.
After sorting out his steps and ideas, Lu Zhou rubbed his stomach, leaned on the chair, and took out his cell phone.
[... Due to space reasons, I will explain the detailed theory of "Group Construction Method" in detail in the next paper.]
It’s hard to think about switching from science to science.
Rome was not built in a day. A complete theory requires not only a burst of inspiration, but also the accumulation of time.
Re-format, compress and upload.
This feeling is different from last time.
It's half past six.
The tip of the pen moves across the paper.
Lu Zhou: "...?"
Rome was not built in a day. A complete theory requires not only a burst of inspiration, but also the accumulation of time.
For several days in a row, Lu Zhou spent most of his time in the library during the day and returned to his dormitory at night to continue studying.
For several days in a row, Lu Zhou spent most of his time in the library during the day and returned to his dormitory at night to continue studying.
It's half past six.
Target, Annals of Mathematics!
At this time, Huang Guangming and Liu Rui also followed through the door carrying lunch boxes.
The description may only take one or two sentences, but if you want to explain this solution in detail, you may need several large blackboards.
For several days in a row, Lu Zhou spent most of his time in the library during the day and returned to his dormitory at night to continue studying.
[Suppose the finite group G and |G|=p1α1p2α2···piαi, where pi is a prime number and αi is a positive integer. Let p∈π(G), define deg(p)=|{q∈π(G)|p~q)|
"You can't afford to offend him." Huang Guangming shook his head and retreated.
Although it seems to be just an extension of the twin prime conjecture to the form where the distance between pairs of prime numbers is infinite, the difficulty is only known to him as the prover.
[Suppose the finite group G and |G|=p1α1p2α2···piαi, where pi is a prime number and αi is a positive integer. Let p∈π(G), define deg(p)=|{q∈π(G)|p~q)|
Lu Zhou, whose whole body was filled with spiritual food, felt full of energy. He took the pen and began to write down rows of calculations on the paper.