Chapter 10 There is something wrong with this paper Lu Dehai quickly picked up the phone, thinking it was Teacher Zhang calling. It turned out that the voice on the other end of the line was a young man's: "Excuse me, is this classmate Lu Shan's home?" Lu Dehai: "Yes, I am his father." "Hey, hello, uncle! I'm Mr. Zou from the competition class of Blue Bird Training Institute. Your son is very good! Our institution is going to enroll him in CMO, oh, that is, the Olympic Mathematics Winter Camp. The registration will be next Sunday night and will end on Friday. It will be a total of five days. The location is Jiangzhou University." The landline at home was silent. When Lin Yan heard that it was the Olympic Mathematics Winter Camp, she was excited! Isn't this the qualification that Lu Shan has always longed for! "Each student who participates in the Mathematical Olympiad Winter Camp pays 1000 yuan, which is collected by the organizing committee of the Mathematical Olympiad Winter Camp and includes examination fees, accommodation fees, food fees, training fees, etc." When it comes to money, Lu Dehai and Lin Yan feel embarrassed. Fortunately, Zou Yao continued, "However, student Lu Shan has performed exceptionally well. As long as he signs a training agreement with our Bluebird training organization and ensures that he is sent by our training organization to attend the winter camp, our training organization will pay for his expenses." "Please tell Lu Shan as soon as possible to come to the training institution to sign the agreement before nine o'clock tonight. We will report the list to the organizing committee tomorrow morning." Lu Dehai was of course grateful and then hung up the phone.
Lin Yan quickly knocked on her son's door to ask about the situation. Lu Shan told her everything about how he had been asking a training institution for a place in the winter camp. Lin Yan was so excited that she didn't know what to say, and the sad atmosphere was immediately diluted. Lu Shan always had a smile on his face, bringing some sunshine to the family which was not doing so well. He signed a training agreement with Bluebird, which exempted him from the 1,000 yuan winter camp fee. Zou Yao also told Lu Shan that as long as he could get a medal, the training institution would also give him rewards. Zou Yao had no classes in the evening and was alone in the office. After signing the agreement, Lu Shan asked, "Teacher Zou, do you have Perelman's paper proving the Poincare conjecture?" Zou Yao was stunned for a moment and said, "Are you interested in this world-class mathematical problem?" Lu Shan said affirmatively: "Yes, I want to look for it. This kind of professional paper cannot be found on the Internet. I think you may have a way." Lu Shan had already demonstrated his strength. Zou Yao still liked this kind of student with excellent grades and strong abilities, so he patiently said, "I can help you find one, but you should focus on the competition right now." "Based on your performance in today's mock exams, I think you have the ability to compete for a gold medal, or even a place in the national team training camp." Lu Shan smiled and said nothing. After Zou Yao prepared Lu Shan's information on his laptop, he closed the page. Lu Shan saw that under his own data files on the computer, there was another file that Zou Yao was editing. The title was: Space reduction for linear systems with local symmetry. Lu Shan’s English is not good, but after following Poincare for some time, he has become fluent in English regarding mathematics. This row of English translation is: spatial reduction of locally symmetric linear systems. Lu Shan asked, "Teacher Zou is writing a paper?" When Zou Yao saw that his unfinished graduate thesis was seen by Lu Shan, he was not angry. Instead, he said helplessly, "My graduate thesis ran into some trouble and I haven't graduated yet. I'll go back to China to earn some money first, and then go back to the United States to do some research." Zou Yao truly appreciated the talent of this student who was only a few years younger than himself. There were some things he had been holding back for a long time, but he couldn't help but speak them out.
In the eyes of other teachers in the training class, he is a CMO and IMO gold medalist, a top student admitted to Shuimu University, and a graduate student at Princeton University. But in reality, he was just a graduate student who couldn't graduate from Princeton University. Lu Shan said, "Can I take a look?" Poincare had just explained in detail the spatial reduction of symmetric linear systems when he was explaining it to himself that day. Zou Yao seriously doubted whether Lu Shan could understand it. After all, mathematics at the graduate level is completely different from mathematics at the high school level. Sure enough, when he saw the fourth page, Lu Shan discovered that Zou Yao had made a serious logical error. This mistake caused all his subsequent papers to be wrong. This may be the reason why he has not been able to complete his papers, and his papers cannot be self-verified and self-checked, and cannot form a logical loop. Lu Shan said: "Your paper intends to take the core idea of the integral method and extend it to general linear problems with local symmetry." "Then, we use pure algebraic methods to establish generalized boundary integral equations that are parallel to the integral equation method, and then adopt the idea of symmetric coupling to reduce the computational problem on an unbounded region or with infinite degrees of freedom to a computational problem on a bounded region or with finite degrees of freedom." “Is this the idea?” When Lu Shan said this lightly, Zou Yao felt as if his heart was hit by a sledgehammer! Zou Yao spent half a year preparing, and then spent a year writing but still couldn't make sense of his thesis, which ultimately led to him applying for a delayed graduation. However, Lu Shan explained the whole thing in just a few words! He understands! He really understands! Zou Yao suppressed his inner shock and said cautiously: "It's like this, do you see any problem?" Lu Shan controlled the mouse, marked the problem in red and said, "You can actually use the elliptic equation as an example, and then apply its spatial reduction method to solve the plane triangular lattice problem and the modified Helmholtz equation after finite element discretization." "Teacher, please try." Zou Yao widened his eyes. Looking at Lu Shan in disbelief! Zou Yao felt as if his brain was suddenly enlightened by God, and suddenly he understood! He said to himself: "Yes! Why don't I use the elliptic equation as an example and then apply its spatial reduction method to solve the plane triangular lattice problem and the modified Helmholtz equation after finite element discretization!" "Why didn't I think of that!" Zou Yao was about to cry! The truth came too suddenly. Lu Shan said, "That's nothing. I'll leave first. Goodbye, Teacher Zou." Zou Yao stayed where he was, and then frantically began to reorganize his thesis using Lu Shan's instructions. He felt that his thesis should be successful! Lu Shan laughed [Points +4] This time Lu Shan ate his fill. Soon, it was Friday, December 2007, 12.
The weekend is the day for the CMO Winter Camp finals. The entire winter camp lasts for five days and will end next Friday afternoon. Lu Shan went to the office to ask Teacher Wang for leave. Lu Shan wrote a leave note and handed it to his homeroom teacher, Mr. Wang. Teacher Wang frowned when he saw the leave application. "You want to take five days off? Did you know that the first test for senior high school students in Jiangzhou City will be held the week after next?" (End of this chapter)