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In early 2000, the Scientific Advisory Board of the Clay Institute of Mathematics in the United States selected seven "Millennium Prize Questions", and the Board of Directors of the Clay Institute decided to establish a $7 million Prize Fund, and each "Millennium Prize Problem" solution would receive a million dollars in awards.

On 24 May 2000, the Millennium Mathematics Conference was held at the prestigious Flange Institute. At the meeting, Gavos, the winner of the '97 Fields Medal, gave a speech on "The Importance of Mathematics", after which Tate and Atia announced and introduced the seven "Millennium Prize Questions". The Clay Institute for Mathematics also invited experts in the relevant fields of study to elaborate on each problem in more detail. The Clay Institute of Mathematics has strict rules for the solution and awarding of the "Millennium Prize Problem". Every Millennium Prize problem that is resolved is not immediately awarded. Any solution must be published in a world-renowned mathematics journal and recognized by the mathematical community for two years before it can be reviewed by the Clay Institute of Mathematics' Scientific Advisory Board to determine whether it is worthy of the million-dollar prize.

Since the announcement of the "Millennium Prize Problem", it has generated strong repercussions in the world mathematics community. These questions are all about the basic theories of mathematics, but the solution of these problems will greatly promote the development and application of mathematical theories. Understanding and researching the "Millennium Prize Problem" has become a hot topic in the world mathematics community. Mathematicians from many countries are organizing joint research projects. (The above is from Du Niang, the author doesn't understand this.) ）

Countless media have also discussed the "Millennium Prize Problem", and they have believed that the "Millennium Prize Problem" will change the historical course of the development of mathematics in the new century. The seven "world problems" are: the NP complete problem, the Hodge conjecture, the Poincaré conjecture, the Riemann hypothesis, the Jan Mills theory, the Navell-Stoker equation, and the BSD conjecture.

Xie Xingxing carefully read the introduction of the problem, and seemed to remember that one of these seven "world problems" had been solved in his previous life. Hurriedly entered the system space and inquired.

"The solution of the Poincaré conjecture, the method of proof and its detailed process of exchange of merits: 10,000

NP complete problem, Hodge conjecture, Riemann hypothesis, Jan Mills theory, Navell-Stoke equation, BSD conjecture one of the solutions, proof method and its detailed process Redeem merit required: 1000000

The solution of the Poincaré conjecture, the method of proof, and the process of exchanging the merits required for redemption, are they redeemed? ”

"Redeem." Xie Xingxing took a deep breath, suppressed his excitement and chose to exchange. Before he finished speaking, a white light shot into Xie Xingxing's consciousness body from the big white ball. Although the solution, proof method and process given by the system are detailed, Xie Xingxing's PhD-level elementary mathematical ability is still difficult to understand. After a period of dizziness, Xie Xingxing continued to ask the question in his heart.

The same seven "world problems": Why is there such a big difference between the Poincaré conjecture and the merit required for exchange? ”

"The Heavenly Merit Exchange System only records the information of the world in which the chosen one exists, and the exchange of the rest of the unrecorded information needs to be obtained by the system through time and space, and the system labor fee needs to be paid. Poincaré conjecture has been solved in the world of the chosen one's previous life, while the rest of the items have not been solved in the two worlds of the chosen one's past life and present life, and it is necessary to systematically travel through time and space to obtain information. ”

"Why doesn't Hongjun Gift Package require labor fees?" Nearly 100 times the labor fee, it's really dark, Xie Xingxing didn't dare to say it directly.

"Hongjun's gift package is automatically generated by the system after Hongjun pays merit, and the rest of the unconsumed merit is the system labor fee."

"Why did Hongjun give me a gift bag?" Xie Xingxing was a little puzzled, he might just be an ant in Hongjun's eyes.

"Hongjun doesn't know about your existence, Hongjun just knows that Tiandao has chosen a lucky person, and then sent something insignificant to tie up some good karma with this lucky person."

"Didn't I get chosen by the Escaped Land?"

"The Escaped Earth One and the Heavenly Dao together form the will of the universe and protect the operation of the universe together, and in the eyes of the uninformed, they are one."

"I got the Hongjun gift package, will there be cause and effect with Hongjun?" Xie Xingxing still thinks it's better to figure everything out.

"No, everything that is exchanged with the system will not have a cause and effect with the existence of anything other than the system."

"So, I've got a cause and effect with the system?"

"No, the exchange of merit is an equivalent exchange, and some special exchanges will produce cause and effect."

Getting this answer, Xie Xingxing breathed a sigh of relief, in his impression, cause and effect are not a good thing. I was about to ask what the special exchange was, when I suddenly heard my mother's voice in my ears.

"Happy, happy, don't play with the computer, just been discharged from the hospital and take more rest." It turned out that Xie's mother took a lunch break and found Xie Xingxing sitting at the computer desk and reminded.

"Mom, I've been sleeping for three days, and I'm still asleep there." Xie Xingzheng wondered how Xie Mu could enter the system space, only to find that he didn't know when he had returned home, and he was too busy responding.

"I can't sleep, don't play with the computer, I'll take the college entrance examination in a few days, read more books." Your dad and I don't ask you to take the entrance examination to a prestigious university, just take the undergraduate examination, and then you will be able to find a job in the future......" Xie Mu turned on the nagging mode and walked over to turn off the computer.

"Mom, I'm doing a math problem, I can't do it before I look for the answer on the Internet, you go out first, I'm busy." Xie Xingxing was most afraid that Xie's mother would nag, so he hurriedly explained.

"Oh, then you pay attention to yourself, don't be tired, there is still watermelon in the refrigerator, eat it yourself when your mouth is dry." I'll go out and buy you clothes first, how did you grow so fast lately............" Xie's mother said as she walked, for fear that she would get her son to study.

"Okay, got it." After speaking, Xie Xingxing turned off the computer and returned to the bedroom to enter the system space again.

"What is a special exchange?" As soon as Xie Xingxing entered the system space, he began to ask.

"Special exchange refers to the exchange that can be used in special circumstances using karma and karma. Causal exchange is simply an IOU to the system, which is returned in multiple times afterwards. ”

"How much merit do I have left?"

"Merit: 1374 Karma: 231."

"Is it possible to translate the Poincaré conjecture's solution, the proof scheme and its detailed process into electronic documentation?" The proof paper of Poincaré's conjecture is said to be more than 300 pages, and it takes several days to copy it, let alone a detailed version given by the system. It is proved that a world-class mathematical problem needs to be repeatedly demonstrated for a long time in order for other mathematicians to understand, recognize and admit it. Now that he wants to be recognized by the world mathematics community before the start of the university, Xie Xingxing thinks it is better to hurry up and be careful.

"Yes, you need to consume 100 merits, and a 1TB secure mobile hard disk is included, can you redeem it?"

"Confirm the exchange." As soon as the words fell, a small black mobile hard drive appeared in front of Xie Xingxing.

After Xie Xingxing exited the system space, he took out six gold bricks and a mobile hard drive to play. Produced by the system, it must be a high-quality product, it is really not blown, a small mobile hard disk in addition to automatic data backup and automatic recovery function, actually play soul binding. No copy is allowed without permission, and the data will be automatically hidden when Xie Xingxing is ten meters away, and outsiders will look like a blank hard disk.

After hiding the gold bricks, Xie Xingxing really began to do math problems, but it was not a college entrance examination mock question but a world-class Poincaré conjecture. Xie Xingxing must understand it and eat it thoroughly before announcing it, otherwise everyone will suspect that there is a ghost in it. After briefly studying the Poincaré conjecture, Xie Xingxing thanked the high mathematics teacher in his previous life for introducing the Millennium Mathematics Award in his class in order to motivate his students. It was already evening, so I got up and moved my body and looked out the window.

When the sun sets, the earth is bathed in the colorful glow of the afterglow, people stroll on the street in twos and threes, and the evening breeze slowly blows a burst of flowers and trees mixed with the fragrance, which makes people feel refreshed and happy, and feels that the sunset is infinitely good. Uncle Rong, who sells pork opposite, is helping to close the stall, and sister-in-law Rong is shouting hard trying to make a few orders in the end. The children who had been in the room all afternoon were also released to have fun under the sunset. Granny Qiu sat at the entrance of the commissary next door, chatting with the proprietress while smiling and looking at her grandson who was playing in the distance. Everything is so peaceful, everything is so harmonious.

After a while, Xie Xingxing put away his thoughts, looking at the manuscript paper all over the ground, Xie Xingxing felt that the 1,000,000 merits were the true value of Poincaré's conjecture, and it was not surprising why there was a saying that one-tenth of Poincaré's conjecture was a mathematician. The reason why the system is sold so cheaply is that Poincaré guesses that in the eyes of Heavenly Dao, it is just a piece of information that does not matter, and it does not cost anything. went downstairs directly, asked Xie Mu who was preparing dinner for Zhong Yaqing's phone number, and asked Xie Mu to prepare dinner for one more person by the way. After making the call, I went upstairs to tidy up the room and put away the manuscript paper.

"Drink!" Xie Xingxing was checking the data on the mobile hard drive on the computer, when a sudden shout from behind him startled him. When she turned around, she realized that it was Zhong Yaqing who had come, and she saw that Xie Xingxing was addicted to the computer and played pranks very unpleasantly.

"Thank you for being happy, the college entrance examination will be in a few days, and if you don't review, forget it, you still play on the computer." Zhong Yaqing walked in with an angry face, and stretched out a hand to Xie Xingxing's ear.

"Didn't play, didn't play. You see, it's really not playing. Xie Xingxing hurriedly covered his ears with his hands, although his slender hands looked cute, but Xie Xingxing, who had been oppressed since he was a child, looked more terrible than a bright poisonous snake.

"Really, you didn't play?" Zhong Yannile looked at the mathematical symbols all over the screen, still looking at Xie Xingxing with suspicion.

"Didn't I say on the phone that I wanted your help, sister? I'm really in trouble. Xie Xingxing looked at this lady-looking woman in a floral dress, and couldn't figure out why she was so fierce in front of herself.

"Happy, Yaqing, it's time to eat!" Xie Xingxing was about to explain, when Xie Mu's unique soprano voice came.

"Hmph, I'm hungry. I'll clean you up after eating. Zhong Yaqing showed her little fist very cutely and warned Xie Xingxing.

After a warm dinner, after Zhong Yaqing helped Xie's mother clean up the dishes and chopsticks, she found Xie Xingxing, who was happily eating watermelon by the window.

"Tell me, what do you want my sister to help you with?" Zhong Yaqing took the watermelon that Xie happily handed over and asked.

"Sister Yaqing, you are a top student in Beijing Normal University, should you know some math teachers? Is there a good relationship? ”

"Yes. My mentor's husband is a professor of mathematics at Beijing Normal University and an academician of the Chinese Academy of Sciences. My tutor was very kind to me and often asked me to go to her house for dinner, and I was familiar with her family. ”

"That's great, come here, I've got something for you." Xie Xingxing almost jumped up happily, and hurriedly pulled Zhong Yaqing towards the computer.

"You're saying you've solved the world's seven mathematical puzzles called the Poincaré conjecture?" After Zhong Yaqing listened to Xie Xingxing's introduction, Zhong Yaqing looked at Xie Xingxing as if she was looking at an alien. Zhong Yaqing had also heard of the seven major mathematical problems in the world, which were very hot in the world some time ago, and after carefully looking at Jisou Know and Jisou Encyclopedia, she was even more disbelievable. Open the document, Zhong Yaqing, who was originally a super scholar, is not inferior to some mathematics department students, these matches are familiar, but I can't understand them.

"I just want you to introduce these to the math teacher in Beijing Normal University, and by the way, help me submit articles to those well-known math magazines, you also know that my English is so bad............" Xie Xingxing blushed as he spoke, I don't know if it's because of plagiarism or because of my own bad English.

"Well, you really didn't lie to me?" Zhong Yaqing is still very skeptical, didn't Xie Xingxing's head teacher say that Xie Xingxing is not good at studying, how did he become a genius all of a sudden.

"Really, I swear, I can't find a wife if I lie to you." Xie Xingxing was a little anxious.

"Phew, a little kid also knows how to find a wife, okay, okay, it's not okay to help you." Zhong Yaqing somehow thought that when she was a child, her grandmother and Xie's mother joked that she wanted to marry Xingxing as a daughter-in-law, and Xie's mother also smiled and agreed to say yes, saying that it was a female junior holding gold bricks. Although no one mentioned it again after the joke, Zhong Yaqing still remembered it.

PS: For more information on what happened next, see O(∩_∩)O below