Reborn Tech Scholar
Chapter 67 Number Theory
Chapter 67 Number Theory
Chapter 67 Number Theory
On Saturday, there was light snow in the sky.
Qin Yuanqing and the others put on down jackets one by one and looked handsome. Liu Feng and Zhang Jie were two sassy bags, each wearing a suit.
In order to buy a suit, Erren shopping mall for a whole morning, came back at [-] o'clock, and took care of it, but it looked much better than before.
Qin Yuanqing also rarely went to the library, so he read books in the dormitory.
As December entered, some courses had already begun to take exams. Of course, Qin Yuanqing got a perfect score without exception, which made all the students exclaimed perverted.
The two dormitories finally met at the gate of the school. Qin Yuanqing saw that each of the four sisters on the other side were not bad looking, and all of them were at the level of the flower in their department.
As for the little fat man's girlfriend, there is a great contrast with the little fat man, a thin little girl who is about 155 in height.
Qin Yuanqing couldn't understand what hobbies the little fat man had, but he liked such thin girls.
As an intermediary, the little fat man introduced the two sides to each other.
The three sisters Qi Qi all set their eyes on Qin Yuanqing, looking crazy, but unfortunately Qin Yuanqing was indifferent and greeted them with a smile.Zhang Jie and Liu Feng were so nervous that their palms were sweating.
I took two taxis and came to a shopping mall not far away.
It is not complicated to say that it is a friendship. In a Western-style restaurant, everyone was talking and laughing. After all, except for the two of them, everyone did not know each other, and never realized that it takes a process to know each other.
After eating, I opened a box on the 4th floor of the shopping mall, and then K sang, Qin Yuanqing sang a song "Fireworks Easy to Cold", and the waiters came to peek at it, and the cheers continued, Qin Yuanqing was quite Sorry, low-key, low-key!
The other sisters also showed their throats. Qin Yuanqing found that these four sisters sang well, and the little fat man sang tender songs.
However, Liu Feng and Zhang Jie were the worst. They were half-voiced and could only sing Xiao Qi's songs.
Until after 11 o'clock, everyone sang happily, Qin Yuanqing arranged a task, each boy escorted a girl back, but it was to create opportunities for Liu Feng and Zhang Jie.
When the little fat man heard Qin Yuanqing's arrangement, it was a wretched one. The previous steps went well, and tonight came the most critical step.
Qin Yuanqing also sent a sister back home, but along the way, he talked about learning and taught her how to study, and there was no love affair at all.
When Qin Yuanqing returned to the dormitory, he found that Liu Feng and Zhang Jie had not come back and didn't care. It would be best if the two could not go back to the dormitory at night.
Qin Yuanqing picked up his mobile phone and chatted with Jingtian. They chatted more at night and seldom chatted at other times.
In the video at this time, the young lady is basically wearing a facial mask. According to her, women should start taking care of themselves when they are young, so as not to be old at the age of 30. They also plausibly use Zhao Yazhi as a typical case.
Qin Yuanqing was also speechless. This white lady really set a bad example. She can be called the goddess of immortality. She is in her 50s and looks as young as a woman in her 30s. Time doesn't seem to affect her very much. effect.
I don't know if the scripture taught by Qin Yuanqing last night played a role, or what happened, Zhang Jie and Liu Feng didn't return home at night.
When Qin Yuanqing went out in the morning, he didn't see them.
Qin Yuanqing brought milk and bread and arrived at the library. Unfortunately, the library was not yet open, but there were already students reading in the morning outside the library. Some were reciting English, while others were reading. There is no shortage of serious study here. people.Many people start preparing for postgraduate entrance exams from sophomore or junior year, and even graduate early.
Although the undergraduate degree is a four-year system, it does not mean that you have to stay for four years to graduate.Many people finish their undergraduate majors early and apply for graduation early.As long as you complete the credits and pass the graduation defense, you can graduate.
Qin Yuanqing plunged into the hail conjecture and studied number theory in depth.The hail conjecture belongs to the field of number theory. The number theory is not deep enough to solve the hail conjecture.
Number theory is one of the branches of pure mathematics. It mainly studies the properties of integers. The advanced number theory studied by Qin Yuanqing roughly includes algebraic number theory, analytic number theory, and computational number theory.
The greatest development of number theory was from the 15th to the 16th century to the 19th century. During these 300 years, Fermat, Mason, Euler, Gauss, Legendre, Riemann, Hilbert and other great mathematicians were born. These great mathematicians promoted development of number theory.
Many famous conjectures were born at that time, and were left to the 20th century and even the 21st century, and some of them have not been solved even now.Such as the Riemann conjecture!
Elementary number theory is mainly to study integer theory and congruence theory of integer rings. Classical conclusions include the Fundamental Theorem of Arithmetic, Euclid's Infinity Proof of Prime Numbers, Chinese Remainder Theorem, Euler's Theorem (its special case is Fermat's Little Theorem), Gauss's quadratic reciprocity law, the quotient-height theorem of the Pythagorean equation, the continuous fraction solution method of the Pell equation, etc.
Analytic number theory uses calculus and complex analysis (that is, complex variable functions) to study problems about integers. It can be divided into two categories: multiplicative number theory and additive number theory.Multiplicative number theory explores the distribution of prime numbers by studying the properties of product generating functions, of which the prime number theorem and Dirichlet's theorem are the most famous classical results in this field.Additive number theory is the study of the possibility and representation of the additive decomposition of integers, and the Waring problem is the most famous topic in this field.In addition to the circle method, sieve method, etc., analytical number theory methods also include modular form theory related to elliptic curves, etc.
Algebraic number theory extends the study of the number-theoretic properties of integer rings to more general integer rings, especially the algebraic number field.
Of course, there are also geometric number theory, computational number theory, combinatorial number theory, arithmetic algebraic geometry, etc. In particular, arithmetic algebraic geometry is the most profound and cutting-edge field in the development of number theory so far.It starts from the point of view of algebraic geometry and uses profound mathematical tools to study the properties of number theory.
For example, Wiles proved that the Fermat conjecture is a classic example of arithmetic algebraic geometry, and the whole proof used almost all the most profound theoretical tools at the time.
An important research guiding program of contemporary number theory is the famous Langlands program.With this contribution, Robert Langlands became a world-famous mathematician, winning the Wolf Prize in Mathematics in 1996.
Qin Yuanqing plunged into the deep field of number theory, and spent almost every day in the library. In addition to individual courses, he was also reading related number theory books and tools.
In the past, many conjectures of number theory have been proved, and the most important value is not that the conjectures become theorems, but the tools and mathematical thinking used in the process.
On December 12, the latest journal of "Mathematics Chronicle" was released. Qin Yuanqing's paper on the twin prime number conjecture was still on the first page.
In the past, traditional media could only watch the indiscriminate bombardment of online media, and they couldn't be envious. Now the paper is indeed a certainty, which also means that Qin Yuanqing has really proved the twin prime conjecture.
"After proving Zhou's conjecture, Qin Yuanqing proved the twin prime number conjecture again after two months!" The Journal of the Mathematical Society reported on this title, expounding the concept, development process and proof significance of twin prime numbers, and at the same time Qin Yuanqing He affirmed his status in the mathematics community, and used words like Qin Yuanqing, a top mathematician in China, for the first time.
"Continuing to prove the two major mathematical conjectures, Qin Yuanqing answers Qian Xuesen's question with facts!" The China Youth Daily reported on this title.Qian Xuesen is the father of missiles in China, and a well-known scientific master at home and abroad. In 2005, President Wen visited Qian Xuesen, and Qian Lao said with emotion: "There are no students who have been trained for so many years. Compared with the masters cultivated during the Republic of China.” Then Qian Lao asked, “Why can’t our schools always cultivate outstanding talents?”
Then some people made a fuss with this sentence, all kinds of criticism, from big to small, and then they crazily praised overseas.
And this kind of criticism has even affected a generation. I don't know how many college students lost hope in China and went to heaven.
In the future, many people will criticize studying abroad for not returning, and they have to reflect on why the public knowledge market is so large and its influence is so far-reaching. How many people are fooled and lame by the public knowledge.
In the public opinion environment created by the public knowledge, many people are actually very unconfident, thinking that European and American children are born smarter than Chinese children.
But in fact, Chinese people are the smartest, and Chinese people are also the best to learn.
In the past, Huaxia belonged to the era of survival and food and clothing, and it was difficult to invest too much money in education, but now Huaxia has a lot of money for a year, and naturally geniuses continue to emerge.
The economic base determines the superstructure, which is the truth.
And now Qin Yuanqing was born, as if to answer the old man's question of the century.
As a young man, Qin Yuanqing rose like the rising sun, radiant and dazzling.
Continuing to prove the world's mathematical problems, if Qin Yuan can't be called an outstanding talent, who can be called an outstanding talent in the whole world?
(End of this chapter)
Chapter 67 Number Theory
On Saturday, there was light snow in the sky.
Qin Yuanqing and the others put on down jackets one by one and looked handsome. Liu Feng and Zhang Jie were two sassy bags, each wearing a suit.
In order to buy a suit, Erren shopping mall for a whole morning, came back at [-] o'clock, and took care of it, but it looked much better than before.
Qin Yuanqing also rarely went to the library, so he read books in the dormitory.
As December entered, some courses had already begun to take exams. Of course, Qin Yuanqing got a perfect score without exception, which made all the students exclaimed perverted.
The two dormitories finally met at the gate of the school. Qin Yuanqing saw that each of the four sisters on the other side were not bad looking, and all of them were at the level of the flower in their department.
As for the little fat man's girlfriend, there is a great contrast with the little fat man, a thin little girl who is about 155 in height.
Qin Yuanqing couldn't understand what hobbies the little fat man had, but he liked such thin girls.
As an intermediary, the little fat man introduced the two sides to each other.
The three sisters Qi Qi all set their eyes on Qin Yuanqing, looking crazy, but unfortunately Qin Yuanqing was indifferent and greeted them with a smile.Zhang Jie and Liu Feng were so nervous that their palms were sweating.
I took two taxis and came to a shopping mall not far away.
It is not complicated to say that it is a friendship. In a Western-style restaurant, everyone was talking and laughing. After all, except for the two of them, everyone did not know each other, and never realized that it takes a process to know each other.
After eating, I opened a box on the 4th floor of the shopping mall, and then K sang, Qin Yuanqing sang a song "Fireworks Easy to Cold", and the waiters came to peek at it, and the cheers continued, Qin Yuanqing was quite Sorry, low-key, low-key!
The other sisters also showed their throats. Qin Yuanqing found that these four sisters sang well, and the little fat man sang tender songs.
However, Liu Feng and Zhang Jie were the worst. They were half-voiced and could only sing Xiao Qi's songs.
Until after 11 o'clock, everyone sang happily, Qin Yuanqing arranged a task, each boy escorted a girl back, but it was to create opportunities for Liu Feng and Zhang Jie.
When the little fat man heard Qin Yuanqing's arrangement, it was a wretched one. The previous steps went well, and tonight came the most critical step.
Qin Yuanqing also sent a sister back home, but along the way, he talked about learning and taught her how to study, and there was no love affair at all.
When Qin Yuanqing returned to the dormitory, he found that Liu Feng and Zhang Jie had not come back and didn't care. It would be best if the two could not go back to the dormitory at night.
Qin Yuanqing picked up his mobile phone and chatted with Jingtian. They chatted more at night and seldom chatted at other times.
In the video at this time, the young lady is basically wearing a facial mask. According to her, women should start taking care of themselves when they are young, so as not to be old at the age of 30. They also plausibly use Zhao Yazhi as a typical case.
Qin Yuanqing was also speechless. This white lady really set a bad example. She can be called the goddess of immortality. She is in her 50s and looks as young as a woman in her 30s. Time doesn't seem to affect her very much. effect.
I don't know if the scripture taught by Qin Yuanqing last night played a role, or what happened, Zhang Jie and Liu Feng didn't return home at night.
When Qin Yuanqing went out in the morning, he didn't see them.
Qin Yuanqing brought milk and bread and arrived at the library. Unfortunately, the library was not yet open, but there were already students reading in the morning outside the library. Some were reciting English, while others were reading. There is no shortage of serious study here. people.Many people start preparing for postgraduate entrance exams from sophomore or junior year, and even graduate early.
Although the undergraduate degree is a four-year system, it does not mean that you have to stay for four years to graduate.Many people finish their undergraduate majors early and apply for graduation early.As long as you complete the credits and pass the graduation defense, you can graduate.
Qin Yuanqing plunged into the hail conjecture and studied number theory in depth.The hail conjecture belongs to the field of number theory. The number theory is not deep enough to solve the hail conjecture.
Number theory is one of the branches of pure mathematics. It mainly studies the properties of integers. The advanced number theory studied by Qin Yuanqing roughly includes algebraic number theory, analytic number theory, and computational number theory.
The greatest development of number theory was from the 15th to the 16th century to the 19th century. During these 300 years, Fermat, Mason, Euler, Gauss, Legendre, Riemann, Hilbert and other great mathematicians were born. These great mathematicians promoted development of number theory.
Many famous conjectures were born at that time, and were left to the 20th century and even the 21st century, and some of them have not been solved even now.Such as the Riemann conjecture!
Elementary number theory is mainly to study integer theory and congruence theory of integer rings. Classical conclusions include the Fundamental Theorem of Arithmetic, Euclid's Infinity Proof of Prime Numbers, Chinese Remainder Theorem, Euler's Theorem (its special case is Fermat's Little Theorem), Gauss's quadratic reciprocity law, the quotient-height theorem of the Pythagorean equation, the continuous fraction solution method of the Pell equation, etc.
Analytic number theory uses calculus and complex analysis (that is, complex variable functions) to study problems about integers. It can be divided into two categories: multiplicative number theory and additive number theory.Multiplicative number theory explores the distribution of prime numbers by studying the properties of product generating functions, of which the prime number theorem and Dirichlet's theorem are the most famous classical results in this field.Additive number theory is the study of the possibility and representation of the additive decomposition of integers, and the Waring problem is the most famous topic in this field.In addition to the circle method, sieve method, etc., analytical number theory methods also include modular form theory related to elliptic curves, etc.
Algebraic number theory extends the study of the number-theoretic properties of integer rings to more general integer rings, especially the algebraic number field.
Of course, there are also geometric number theory, computational number theory, combinatorial number theory, arithmetic algebraic geometry, etc. In particular, arithmetic algebraic geometry is the most profound and cutting-edge field in the development of number theory so far.It starts from the point of view of algebraic geometry and uses profound mathematical tools to study the properties of number theory.
For example, Wiles proved that the Fermat conjecture is a classic example of arithmetic algebraic geometry, and the whole proof used almost all the most profound theoretical tools at the time.
An important research guiding program of contemporary number theory is the famous Langlands program.With this contribution, Robert Langlands became a world-famous mathematician, winning the Wolf Prize in Mathematics in 1996.
Qin Yuanqing plunged into the deep field of number theory, and spent almost every day in the library. In addition to individual courses, he was also reading related number theory books and tools.
In the past, many conjectures of number theory have been proved, and the most important value is not that the conjectures become theorems, but the tools and mathematical thinking used in the process.
On December 12, the latest journal of "Mathematics Chronicle" was released. Qin Yuanqing's paper on the twin prime number conjecture was still on the first page.
In the past, traditional media could only watch the indiscriminate bombardment of online media, and they couldn't be envious. Now the paper is indeed a certainty, which also means that Qin Yuanqing has really proved the twin prime conjecture.
"After proving Zhou's conjecture, Qin Yuanqing proved the twin prime number conjecture again after two months!" The Journal of the Mathematical Society reported on this title, expounding the concept, development process and proof significance of twin prime numbers, and at the same time Qin Yuanqing He affirmed his status in the mathematics community, and used words like Qin Yuanqing, a top mathematician in China, for the first time.
"Continuing to prove the two major mathematical conjectures, Qin Yuanqing answers Qian Xuesen's question with facts!" The China Youth Daily reported on this title.Qian Xuesen is the father of missiles in China, and a well-known scientific master at home and abroad. In 2005, President Wen visited Qian Xuesen, and Qian Lao said with emotion: "There are no students who have been trained for so many years. Compared with the masters cultivated during the Republic of China.” Then Qian Lao asked, “Why can’t our schools always cultivate outstanding talents?”
Then some people made a fuss with this sentence, all kinds of criticism, from big to small, and then they crazily praised overseas.
And this kind of criticism has even affected a generation. I don't know how many college students lost hope in China and went to heaven.
In the future, many people will criticize studying abroad for not returning, and they have to reflect on why the public knowledge market is so large and its influence is so far-reaching. How many people are fooled and lame by the public knowledge.
In the public opinion environment created by the public knowledge, many people are actually very unconfident, thinking that European and American children are born smarter than Chinese children.
But in fact, Chinese people are the smartest, and Chinese people are also the best to learn.
In the past, Huaxia belonged to the era of survival and food and clothing, and it was difficult to invest too much money in education, but now Huaxia has a lot of money for a year, and naturally geniuses continue to emerge.
The economic base determines the superstructure, which is the truth.
And now Qin Yuanqing was born, as if to answer the old man's question of the century.
As a young man, Qin Yuanqing rose like the rising sun, radiant and dazzling.
Continuing to prove the world's mathematical problems, if Qin Yuan can't be called an outstanding talent, who can be called an outstanding talent in the whole world?
(End of this chapter)
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