Hou Zhen yelled: "It is obvious that there are still many numbers that do not contain 8. It should stop at a certain proportion, such as 80%. In this way, the numbers that contain 1, 2 or 3 are also 100%. Is this obviously a false proposition?"

Liu Meng asked Hou Zhen to jump out and sneered: "Professor Hou obviously misunderstood a concept. As the director of the Institute of Number Theory of Shuimu University, he should not make such a mistake. He can calculate it by listing an extreme company. It is very simple. Freshmen who have studied advanced mathematics can calculate it. Therefore, I still have to advise Professor Hou not to always draw some economic and financial projects with relatively large amounts. If there are too many researches on such projects, the level of degradation is not as good as freshmen."

Hou Zhen's face turned pale for a moment, and he didn't dare to refute directly when he saw Liu Meng's expression. If he was really wrong, he would be even more ugly. He just didn't think clearly for a while. After all, he was old and had not conducted actual research for several years. At this time, he shook his sleeves and said angrily: "These tricks of worms are not my research direction, so I won't argue with you."

"I heard that Professor Hou likes to recruit female students the most, and I believe he has a good understanding of women and is very knowledgeable about women." Without waiting for Hou Zhen to refute, Liu Meng continued: "Then let's talk about women's intuition, commonly known as the sixth sense."

Hou Zhen was angry and married his female student because he divorced his former wife and married him. He was ridiculed by Liu Meng at the math annual meeting. Unexpectedly, he was revealed here again and immediately said angrily: "Intuition is all false idealistic ideas. We are all scientific research. We are all typical materialists, so how could they do these things?"

Liu Meng waved his finger and retorted: "Professor Hou's words are wrong. It can be said that it is a big mistake. Intuition is not idealistic, but serious science."

"What kind of science is this? Liu Meng, don't be sarcastic. If you can't tell a truth today, hey, there are so many students on the scene, but hey, there are so many students on the scene." Hou Zhen said. He quickly seized this breakthrough. Originally, Liu Meng's reputation in the international mathematics community recently, Shuimu University has always wanted to hire him. Hou Zhen, who is also a mathematical researcher, is of course very nervous. He is already in his 50s, but he is already at the age of not holding a position, but he is reluctant to give up his position as director of the Institute of Number Theory. Liu Meng is undoubtedly the biggest competitor. If he can make him bad in front of the students, it would be better to make Shuimu.

The students at the scene were also very curious. Isn’t it just that everyone often talks about it, especially girls, chattering. Is there any scientific basis for this?

Liu Meng laughed and said, "'I feel like this.' Many times we encounter things we don't understand. We often tilt our heads for two seconds, and then, as if the answer is stuck in our heads, shake it. The answer falls out with a thud. Some people call this intuition, and some ignorant people think it is an idealistic expression. However, unfortunately, most people's intuition is not very accurate, otherwise so many people will not smile when choosing numbers in the lottery, and kindly think that half of the first prize will be donated. If you are more rational, you should think very worriedly that the probability of the first prize of the Double Color Ball is as low as one in 715 million, which is lower than the probability of death from a car accident every day. "

"Even if you don't talk about lottery that makes people irrational, intuition cannot stand the test of mathematics in many cases. A more correct statement is that intuition is not very accurate, but there are not many things in this world to figure out right or wrong, so it is not easy to detect how intuition is. For example, you think that the female classmate at the next table secretly loves you because she often asks you whether to go to the cafeteria to have dinner after school, but in fact she just wants to find someone to accompany you, but before confessing, you cannot confirm the truth of this matter. What's more sad is that even if the confession is successful, you still cannot confirm whether she really loves you. Do you understand what this means? Do you understand? I think Professor Hou Zhen must not understand."

Liu Meng was talking and wanted to lose Hou Zhen. He made this old guy very angry and glared at him, just to see what Liu Meng could say.

"What I said above is not specific enough. Let me briefly use mathematics to analyze it for you. The scientific basis of intuition is that the students here should have a debit card, which is used for teaching fees each semester, or their parents give you living expenses. Very outstanding students also have scholarships given by the school. Look at the number on the left and call this number the first digit. The first digit of more than one million is 1, the first digit of more than ten yuan is also 1, the first digit of more than six thousand yuan is 6, and the first digit of more than eighty yuan is 8. Now, please use your intuition to judge that the first digit of the balance in the entire Shuimu University or even the entire Yanjing University, or the entire Chinese university students, what are the probability of the occurrence of each number in 1-9?"

This is a statement that is very close to the lives of the students. There are all discussions, and everything is said. The students all say it is 4, some say it is 8, and there are many different opinions. Some even argue fiercely. Qiu Conglin, a defender who is still standing on the podium, looked helpless. The conflict between the two judges in the audience obviously affected him, a small pond fish.

"The probability of each number appearing is 1/9. The students' intuition should be shouting this answer in their minds at this moment, and they may be a little disdainful. What I want to tell the students is that although I have not conducted statistics, I am sure that the majority of the students on the scene who have the first digit of the debit card balance is 1. Why can I know? Because I know that there is a specific law of Benfu: the probability of the first digit of 1 in natural form is about 30%, the probability of the first digit of 2 is 17.6%, which decreases in sequence, and the probability of the first digit of 8 and 9 is only 5.1% and 4.6% respectively."

The students in the audience couldn't believe that there was such a law, which was simply an intuition counterexample! Hou Zhen was very annoyed. After Liu Meng's statement, he also remembered that there seemed to be this law, but he didn't study it deeply and could not remember it clearly.

"If you don't believe it and other students are unwilling to tell you the balance of your debit card, you can count the population of 237 countries in the world. What proportion do you think the number starting with 1 accounts for and what proportion of the number starting with 9 accounts for? If your answer is 1/9, congratulations on you, you are a normal person. This is the case, but the fact is not: the number starting with 1 accounts for 27%, while the number starting with 9 accounts for only 5%. Why is there such a big difference? This is the mysterious law of Benfu at work."

"The law of Benfu, also known as Benfu's law, shows that among the data derived from actual life, the probability of a number with 1 as the first digit is about 30% of the total number, which is close to three times the expected value of 1/9. In general, the larger the number, the lower the probability of a number with it as the first digit. The discovery of this law is said to be because Benfu found that the previous pages were turned black and ragged when turning the logarithmic table, and the lighter the color is. From this, he thought that there would be more numbers starting with 1 than other numbers. He counted it and found that it was true. In fact, it was difficult to distinguish the true or falsehood of this logarithmic table, just like Newton said that he discovered the law of universal gravitation that was hit by Apple before he discovered. As long as the final law is useful, it would be enough."

Oh! At this time, the students in the audience accepted this law. Unexpectedly, there was such a magical law, which was simply a counterintuitive law.

The students couldn't help but applauded enthusiastically, thinking that Professor Liu Meng was indeed awesome, not the kind of nerd who studied theory. He knew a lot and could learn it and apply it. Hou Zhen snorted ugly. He originally wanted to see Liu Meng make a fool of himself, but he didn't expect that he would win the applause of his classmates and said angrily: "Okay, Qiu Conglin, you have already introduced it, please replace another classmate."

The second one to play was Yang Yan from the School of Automobile. He was the vice chairman of the Automobile Science and Technology Association, the director of the Competition Department of the Automobile Science and Technology Association, and a member of the future network computing interest team. In terms of science and technology innovation, his paper effect color rectable glossal hairsahoneybee’snectar-d-d-d-nkingstrategy was published in Appliedphy Private Csletters. Not only did he have excellent academic performance, he was also enthusiastic about volunteering. He has served as a volunteer at the Yanjing Garden Expo, an ieeevppc volunteer, and will also be a volunteer at the Yanjing Leadership Conference.

Yang Yan was frightened by the situation just now, afraid that this young Professor Liu Meng would ask him any strange questions. At this time, a teacher in the audience said as his recommender: "Yang Yan has noble and resolute character. Once in the experiment, Yang Yan's hand was stung by a bee and his whole hand was swollen, but he continued to persist in the experiment."

Liu Meng was disgusted by this and immediately said, "If you recommend the teacher, don't talk about these sensational things. I don't think it has anything to do with the character, and it has nothing to do with today's award evaluation. We are not the review site of the honey competition. I am really curious about what experiment a student from the Automobile Academy is doing to be stung by bees? If you are stung, the best way is to find a band-aid."
Chapter completed!