Chapter 211 Simplifying the Calculation Process Classroom 210. Xu Qingzhou followed the instructions of the girl with the bun hair, moved the extra table aside, and picked up the broom to help clean. "Why are you cleaning now?" "This is where the sundries were originally stored." The girl pointed to the pile of tables nearby and said helplessly, "However, it seems that there are many more people coming this time than expected." Xu Qingzhou nodded, and then let out a sigh from Chu Jun, saying, "These people are really amateurish in arranging the work. The posters and guide signs are not clear, and the equipment is full of loopholes from the temporary inspection. It's really worrying." "What do you think?" Xu Qingzhou smiled. "Of course, all the processes should be pushed through in advance, work responsibilities should be assigned to individuals, and most importantly, all possible variables should be taken into consideration." Once the conversation started, the girl started talking a lot. Hearing the girl's eloquent words, Xu Qingzhou couldn't help but point out: "So, why are you working here alone?"
"The more capable you are, the more work you have to do. I'm going to be the chairman in the future, so of course I have to do it myself." Xu Qingzhou looked at her without saying anything. "." "Well, actually, everyone in our department has been assigned out by the teacher." From her work ID, it can be seen that this girl's name is Ren Chujun, and she is the deputy director of the Propaganda Department of the Student Union. However, she has always wanted to usurp the throne and become the president. The two spent 20 minutes cleaning the classroom inside and out, and then sat on chairs to rest. Ren Chujun handed Xu Qingzhou a bottle of mineral water and asked, "Junior, you look familiar to me. Which department are you from?" Xu Qingzhou unscrewed the bottle cap and said, "I'm not from the student union." "Oh? From the Mathematics Club?" Ren Chujun took a sip of water. Xu Qingzhou shook his head and drank some water to moisten his throat. "To be precise, I'm not from your school." "Oh, so that's it? Ahem~" Ren Chujun coughed for a long time, staring at Xu Qingzhou with wide eyes, stunned: "You... you are not from our school?" Boom~boom~ A thin middle-aged man walked in with two students, looked around the classroom, and said in surprise: "Xiao Ren, you have all finished cleaning. You are fast enough." The middle-aged man's voice stopped abruptly and looked at Xu Qingzhou: "Xu Qingzhou?" This person was the teacher who had just taken Deng Zeer to pick up his friend. "Yeah." Xu Qingzhou smiled and nodded, then stood up. "Have Deng Ze'er and the others arrived?" "We're here." The middle-aged man answered, his mind not fully grasping. Xu Qingzhou turned to look at Ren Chujun and raised the bottle of mineral water: "Then I'll get busy first. This bottle of water will be your reward." After saying that, he took the briefcase next to him and left.
A boy looked admiring: "Senior, you actually got the master to come and clean the house!" "Senior, from today on, you are my idol!" Another boy also said. "." Ren Chujun felt like crying but had no tears. At this moment, she felt that her dream of becoming the chairman seemed to be shattered. On this side, Xu Qingzhou came to the next door 209. In addition to Deng Ze'er, there were three more foreigners. "Xu, let me introduce you. This is my colleague Staven Jere, and this beautiful lady is Grace Aheti, from Princeton." "Hello." Xu Qingzhou said. The three of them looked to be around 30 years old. "In fact, I know that many people want to come and listen to your wonderful report." Deng Zeer shrugged and said, "Unfortunately, it is too difficult to apply for a visa for your Xia country." Grace said, "Yes, compared to these people, we are lucky." Xu Qingzhou smiled and invited everyone to sit down. At this time, Ren Chujun from next door walked in with a bitter face. Even though the teacher didn't criticize you for asking the guests to do the work, you will probably be laughed at for a long time. "Why are you here?" Xu Qingzhou asked. Ren Chujun pulled himself together and said, "The teacher sent me here as a staff member to help you with chores." "Then please help me wipe this blackboard." Seeing that Ren Chujun was a little reserved, Xu Qingzhou wanted to ask her to do something so that she wouldn't feel uncomfortable. "it is good." Ren Chujun didn't have time to worry and started working. "Xu, can you elaborate on this formula between pages 45 and 46 of your paper?" Staven had already opened the paper on the proof of twin prime numbers and couldn't wait to ask. Xu Qingzhou glanced at the paper, thought for a few seconds, and stood up: "It is very inefficient to directly calculate the value of the prime counting function, so I used the prime number theorem." "According to the numerical study done by Rosser and Schoenfeld in 1962, it can be seen that when x ≥ 114514." As he spoke, he wrote a row of formulas on the blackboard. Two minutes later, Staven was thoughtful, and finally his eyes lit up and he commented: "Well, this step was done perfectly." Ren Chujun moved a stool and watched from the side. He originally wanted to listen more and gain some knowledge. But Xu Qingzhou spoke entirely in English, and she soon became confused by the professional terms, so she simply became an emotionless tool. Xu Qingzhou gave a signal and she took the eraser and wiped the blackboard clean. "Actually, my question is about Cramer's theorem," Grace said. "Well, please speak." "The function of the adjacent iteration expression of the prime difference spacing is here, how you get p n+1 -pn = (pn/n)^2 = (nlnpn/n)."
“Here, we need to prove first that pn+1 -pn =2k” Xu Qingzhou explained to the other party bit by bit. 30 minutes passed in a flash, and there were 8 more people in the classroom. Sitting on the left was a white-haired old man. The old man tapped his pen a few times. "Xu Qingzhou, in the 48th equation, mP\sim 2C_2 \frac{x}{(\ln x)^2, can it be scaled to mP(z)(m, P′)?" Xu Qingzhou immediately perked up and listened carefully to the other party's explanation. This old man is called Wang Yiyuan, an academician of the Chinese Academy of Sciences. He was the first in China to apply the sieve method in analytic number theory to the study of Goldbach's conjecture and proved 2+3. This was the first time that a scholar from China took the lead in the world in this research field. In Xia State, and even in the world, he is regarded as the leading figure. Xu Qingzhou also wrote down the formula and checked it. He found that the whole calculation process was indeed much simpler. He thanked him, "Mr. Wang, thank you for your idea." The old man shook his head, then lowered his head and continued to make calculations. Xu Qingzhou simply passed this point at first, and since he was able to deduce the result he wanted, he didn't care about it anymore. He completely proved the twin prime conjecture, but both mathematics and physics undergo rapid changes every year. Just like when Zhang Yitang proved that the interval between prime numbers is less than 7000 million, he established a framework, and mathematicians continued to improve his method based on this framework, and successfully reduced 246 million to . Although Andrew Wiles' proof of Fermat's Last Theorem is hailed as a masterpiece in the history of mathematics, his original proof was complex and lengthy, involving profound mathematical theories such as elliptic curves, modular forms, and Galois representation theory. Subsequently, mathematicians reduced the complexity, rearranged the lemmas and theorems in the proof, and used higher-dimensional algebraic varieties or more complex elliptic curve families to replace the original elliptic curves. In addition to these, some classic theories in mathematics are also being improved. For example, the original Riemann function R(x) is a special function defined on the interval [0, 1]. Someone has proved that the Riemann function is continuous at all irrational number points in (0, 1) and discontinuous at all rational number points, but there is a limit at every point and the limit is 0. There is also calculus. Over a long period of time, mathematicians introduced the theory of limit to strictly define differentiation and integration, solving the problem of logical inaccuracies that existed in the early days of calculus. (End of this chapter)