What is a top student? Don’t study and stay up late, love games and go online, and the top student is such a legend! Children who study all day long and do not have any entertainment activities are definitely not a top student. A top student has one common feature, that is, it must be very high execution ability. In other words, it is high efficiency. When people study, they think about learning, instead of touching around, standing up and drinking water, and eating something later. A real top student must have very efficient learning methods and time allocation rules.

Academic masters really don’t attend cram schools? Some academic masters say: “These things like playing games and dating have no impact on learning within a moderate range. These reasons are the reasons for poor academic performance and internal and external factors, but people often pay attention to these appearances.” The poor student worship said: “The academic masters I know are in love, but they work very hard when they should study, even harder than those who don’t fall in love.”

The top students are particularly domineering and generally love to play games. They never get up early and go to dumb school, and never go to cram school. The world of the top students is not something that a hard-working cram school can imagine.

A poor student talked about cram school with the academic master. The scholar swears: "I have never been to cram school. Fighting at night has nothing to do with learning. It's just to watch Korean dramas on weekends, and you can even see five or six o'clock in the morning." The academic master is so arrogant that he will clearly distinguish between learning and playing. He will study hard when studying and play.

The poor student said enviously: "I stayed up late and learned until one or two o'clock in the morning every night. I even used the time after class to do the questions, but my final results were so sad."

The top students often comfort the poor students and say some nonsense: "I'm just writing homework." "I don't know how to do this question either." "I'm not a big shot." "I didn't do my homework yesterday." "I fell asleep in the last class." "I failed the exam, hey. I've found two points in the error." "I didn't review anything in the exam, it was just naked. " "I can't even find any questions." "I didn't study hard." "I'm just a poor student."

A top student is so capable of pretending.

The Shuimu University Special Scholarship established in 1989 is intended to commend outstanding students who have comprehensive development or outstanding expertise or contributions in a certain aspect. For Shuimu University students, the Special Scholarship is the highest honor. On the afternoon of November 2, 2007, after recommendation from the department, review by the Office of the School Scholarship Management Committee, and preliminary evaluation, 15 undergraduate students conducted the 2007 Special Scholarship Defense in the back hall of the main building.

If Shuimu University is the dream of Chinese middle school students, then Shuimu University’s special scholarship is the dream of undergraduates of Shuimu University. It can be imagined. It is worth mentioning that the review of Shuimu University’s special scholarship this year invited Professor Liu Meng, who is very famous in the Chinese academic circle recently. His paper’s twin primes have just been published, which has caused a lot of shock at home and abroad.

Although it is not as well known as film and television stars, Liu Meng's reputation has a very high reputation among college students, teachers and scholars. As soon as Liu Meng sat down in the review seat, many students came to sign and chat, and his words were full of admiration.

By chance, there was an old acquaintance in this review, which was Professor Hou Zhen from the Institute of Mathematics of Shuimu University. This old guy had a bit of a festive relationship with Liu Meng. At the time, because the Sitapan conjecture was a bit unpleasant, the subsequent math year would have even more conflicts. Hou Zhen did not expect that this young man had just two years of experience as an equal, saying that he would give him a face, because among college students, it is generally believed that Professor Liu Meng is the number one in mathematics in China and has a very big reputation. How many people know about Hou Zhen?

The review work began immediately. The entire venue began to quiet down.

Hou Zhen and Liu Meng were very upset when they sat together, and said to Liu Meng in a low voice with a bad face: "I heard that Kong Jidao has passed away. Unfortunately, he has been engaged in mathematical research for his whole life and has not achieved any results. He has been wasting his whole life, not getting married, and he has never made a career in the end. He is really a typical failure among intellectuals."

Liu Meng was very angry, but said angrily: "Teacher Kong is not a person who pursues fame, otherwise he would have been a world-renowned mathematician, dozens of streets away from your little character." Hou Zhen's face turned pale, and Liu Meng continued: "You don't know yet. In fact, Teacher Kong has solved the Goldbach conjecture for a long time, but has been cross-examination and has not published it. It's not like you. I have been reading your previous papers recently and have found a lot of mistakes, and even some plagiarism."

"You fart!" Hou Zhen was older and always a famous professor admired by students. How could he bear it when he was ridiculed by Liu Meng, a boy. "Can that old guy crack the Goldbach conjecture? It's absolutely impossible."

"It's impossible that you will know in a while." Liu Meng laughed in a sarcasm.

Hou Zhen remained silent and was quite unhappy.

Under the introduction of the host, the students who were shortlisted this time began to introduce their situation. The first one to appear was Qiu Conglin from the Department of Mathematics. He is currently the editor of the editorial department of the Department of Mathematics. He won the Geometry Gold Award, All-round Gold Award, and Algebra Silver Award in the 2007 Qiu Chengtong University Mathematics Competition. His team also won the Group Silver Award. He represented the school in the 2005 Asian Science Summer Camp and the 2006 Global Chinese Mathematician Conference.

In the first three years of university, he borrowed 357 books in the library, more than 90% of them were math books. Qiu Conglin said: "I dream of becoming a master like Chen Shengshen and Professor Hou Zhen. I invest 80 hours a week in mathematics. Professor Hou Zhen once encouraged me to be aware of big problems even if I can't do it, which is the source of my struggle. At Chigan University, at the beginning, I would be ridiculed by the professor when I wrote a few lines of ideas on the blackboard, but I never gave up. In the end, I could write a blackboard idea. My ideal is to become a master of mathematics and revitalize Chinese mathematics. I am willing to fight for the rise of Chinese mathematics! I use the understanding of a mathematician as a public service, cultivate students and spread mathematical culture. I organized many discussion classes and tutored math workers in the logistics department for a year."

"In addition to learning, I won the second place in the lightweight category of the Horse Cup aerobics competition. Fitness is a lifestyle that makes me full of vitality every day. At the same time, I would like to say here that I admire Professor Liu Meng very much and am very happy that he was able to come to the review site of the special scholarship of Shuimu University and offer my sincere respect."

When Liu Meng heard that this guy was engaged in mathematics, he probably guessed that it was from Hou Zhen's math research institute. He immediately asked: "Many mathematicians will change their careers and enter the financial industry with an annual salary of one million US dollars after achieving success. What do you think?"

Qiu Conglin replied with a polite smile: "Compared with such a wonderful thing as mathematics, what is a million dollars!"

Liu Meng continued: "As far as I know, the research topics of your Institute of Mathematics in recent years are all about economic and financial aspects. I heard that there is a lot of scientific research funds. The topics you just introduced are also applied economics and finance. This seems to be different from the master dream you explained? Is this a kind of sensationalism?"

Hou Zhen's face was quite bad. He was asking Qiu Conglin, and he was slapped in the face. He looked ugly. Qiu Conglin was also asked and looked at Hou Zhen at a loss. He had just flattered Liu Meng. Unexpectedly, he had not asked such a sharp question. Hou Zhen was not happy with his behavior of flattering Liu Meng just now. He turned his face and refused to look at him, which made Qiu Conglin very embarrassed.

Liu Meng continued to ask: "In China, the homophonic 'eight' is a lucky number that everyone loves. Whether it is a mobile phone number or a license plate number, everyone wants a number 8. The number containing the number 8 seems to have become a non-renewable scarce resource. Then I will take a small question on the spot. In all natural numbers, what proportion does the number containing the number 8 account for? 10%, 50%, or 90%, give you five minutes."

Qiu Conglin was sweating on his head and had to think about Liu Meng's question. Seeing that the time was approaching, he didn't understand it. His mind was running rapidly. How many numbers containing 8 in the first n digits? In order to save time, he said: "If 0 is counted, there are 10 single numbers in total, but only one containing 8, accounting for only 10% of the total."

Liu Meng immediately asked: "So, among all the numbers within two digits, do the numbers containing the number 8 only account for 10%?"

Qiu Conglin also felt that this was definitely not the case. From 0 to 99, there were 100 numbers in total, but there were 8, 18, 28,…, 78, 80, 81, 82,…, 88, 89, 98, and 19 in total. In other words, among all the numbers within two digits, the number containing the number 8 accounts for 19%. I immediately returned to it: "19%.

Unexpectedly, Qiu Conglin's head was not slow to react. Liu Meng said: "If we further expand the range of natural numbers we consider, will this ratio become larger and larger? How big is it? What is the ratio that contains 8 in infinite positive integers?"

Qiu Conglin was so angry that he cursed. Who could calculate this at the scene so quickly? It’s easy to calculate within 100, but there are a lot within 1000. It’s hard to figure it out. It’s even more outrageous if it’s within 10000. It’s so anxious that my forehead is covered with sweat.

"I'm sorry, Professor Liu, I can't calculate it for the time being." Qiu Conglin had no choice but to give up generously.

Liu Meng smiled and said, "Actually, you have almost got the answer just now. Since the proportion within 100 has increased to 19%, then for the infinite range, the number containing 8 is naturally 100%.
Chapter completed!