Hou Zhen exhaled: "Obviously, there are still a lot of numbers that do not contain 8, it should be stopped to reach a certain ratio, such as 80%? So the number containing 1, 2 or 3 is also 100%? This is obviously a false proposition, right?"

Liu Meng just wanted Hou Zhen to jump out and sneered: "Professor Hou obviously made a mistake, as the director of the Institute of Number Theory of Mizuki University, he really shouldn't make such a mistake, he can calculate it by listing a limit company, it's very simple, a freshman who has studied advanced mathematics can calculate, so I still have to persuade Professor Hou not to always pull some relatively large economic and financial topics, this kind of topic has been studied a lot, and the level of degradation is not as good as that of freshman students." ”

Hou Zhen's face was blue for a while, and he didn't dare to refute directly when he saw Liu Meng's expression, in case he was really wrong, the ugliness would be even greater, but he really didn't think about it for a while, after all, he was old and hadn't carried out actual research work for several years, so he flicked his sleeves and said angrily: "These carving insect skills are not my research direction, I don't argue with you." ”

"I heard that Professor Hou likes to recruit female students the most, and he must know and study women very well. 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 Zhenqi didn't come out, just because he married his own female student after divorcing his previous wife, he was ridiculed by Liu Meng once at the mathematics annual meeting, but he didn't expect to be turned out here again, and suddenly said angrily: "Intuition is all false idealism, we are engaged in scientific research." They are all typical materialists, how can they do this. ”

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

"What kind of science is this? Liu Meng, don't you talk big, if you can't make a sense today, hey, so many students at the scene can listen. Hou Zhen said. He quickly seized this breakthrough, and Liu Meng's recent reputation in the international mathematical community, Mizuki University had always wanted to hire him. Hou Zhen, who is also a mathematical researcher, is of course very nervous, he is already in his 50s, in fact, he has reached the age of not holding a position, but he is reluctant to let go of his position as director of the Institute of Number Theory. And Liu Meng is undoubtedly the biggest competitor. It would be great if you could make him stink in front of the students and make him faceless.

The students at the scene were also very curious, and their intuition was what everyone often talked about, especially girls, chattering, is there any scientific basis for this?

Liu Meng laughed and said: "'I feel like this' Many times when we encounter things that we don't understand, we often get used to tilting our heads like this for two seconds, and then. Shake it as if the answer was stuck in your head. The answer fell out with a pop, some people call it intuition, and some ignorant people think it's a kind of idealistic expression, however, unfortunately, most people's intuition is not very accurate, otherwise there wouldn't be so many people smiling when picking lottery numbers, and kindly thinking about donating half of the jackpot prize. If you are more rational, you should be very worried that the probability of the first prize of the two-color ball is even lower than the probability of death in a car accident every day is 1 in 715 million, which is lower than the probability of death in a car accident every day (1 in 525 million). ”

"Even if you don't talk about the lottery that can easily make people irrational, intuition can't stand the test of mathematics in many cases. To put it more correctly, intuition is not accurate in the first place, but there are not many things in this world that can figure out right and wrong, so it is not easy to perceive how inaccurate intuition is. For example, you think that the female classmate at the next table has a crush on you, because she often asks you if you want to go to the cafeteria to eat together after school, but in fact she just wants to find someone to accompany you, but you can't confirm the truth of this matter until you confess. What's even more tragic is that even if the confession is successful, you still can't be sure if she really loves you. Do you understand what this means? I don't think Professor Hou Zhen understands it. ”

Liu Meng said while losing Hou Zhen, making this old guy angry, blowing his beard and glaring, just to see what Liu Meng could say.

"The above is still not specific enough, below I will simply use mathematics to analyze for you, the scientific basis of intuition, all the students here should have a debit card, each semester for teaching expenses, or parents to give you living expenses, quite excellent students and the school to play the scholarship, look at the leftmost number, this number is called the first number, the first number of more than one million is 1, the first number of more than a dozen pieces is also 1, the first number of more than 6,000 yuan is 6, and the first number of more than 80 pieces is 8. Now, please use your intuition to judge, what is the probability of the first digit of the balance in the debit card, the probability of each number appearing in 1-9 in the entire Shuimu University or even the entire Yenching University, or the entire Huaxia college student?"

This is very close to the students' life of the statement, immediately discussed, said everything, all the classmates said it was 4, some students said it was 8, the opinions were different, some even argued fiercely, and the defense student Qiu Conglin who was still standing on the podium was helpless, and the contradiction between the two judges in the audience obviously affected him, a small pond fish.

"Evenly distributed, the probability of each number appearing is 1 in 9. The instincts of the students should be shouting this answer in their minds at the moment, and they may be a little disdainful. What I would like to tell you is that although I have not done the statistics, I am sure that the majority of the students on the scene have a debit card balance of 1 in the first place, why do I know that? Because I know that there is a Ben Ford's law: in the natural form of numbers, the probability that the first digit is 1 is about 30%, the probability of 2 is 17.6%, and the probability of the first digit is 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, it was simply a counterexample of intuition! Hou Zhen was very annoyed, and after Liu Meng said this, he also remembered that there seemed to be such a law, but he didn't study it deeply and couldn't remember it clearly.

"If you don't believe it, and other students don't want to tell you about the balance of your debit card, you can count the population of 237 countries in the world, what proportion do you think the number that starts with 1 will account for what proportion of the number, and what proportion of the number that starts with 9? If your answer is 1/9, congratulations that you are a normal person, the intuition is like this, but the truth is not: the number starting with 1 accounts for a staggering 27%, while the number starting with 9 accounts for only 5%. Why is there such a big difference? This is where the mysterious Benfort law comes into play. ”

Benford's law, also known as Benford's law, states that the probability of a number with 1 as the first digit in a bunch of numbers derived from real life is about 30% of the total, close to 3 times the expected value of 1/9, and by extension, the larger the number, the lower the probability of the number with it first. The discovery of this law is said to have been caused by the fact that Ben Ford found that the first few pages were turned black and tattered when he was flipping through the logarithmic table, and the color became lighter and lighter the further back he went. From this, he thought about whether the number starting with 1 was more than the other numbers, and he counted it and found that it was indeed the case. In fact, it is difficult to distinguish between the truth and the falsehood of this logarithmic table, just like Newton said that he discovered the law of gravitation when he was hit on the head by an apple, as long as the last law is useful. ”

At this time, the students in the audience accepted this law, but they didn't expect that there was such a magical law, which was simply an anti-intuitive law.

The classmates couldn't help but applaud warmly, thinking that this Professor Liu Meng is really powerful, but he is not the kind of nerd who studies theories, he knows a lot, and he can learn and apply it, Hou Zhen snorted with an ugly face, he originally wanted to see Liu Meng make a fool of himself, but he didn't expect to be ridiculed by him for a while to win the applause of the classmates, and said angrily: "Okay, classmate Qiu Conglin, you have finished the introduction, change the next classmate." ”

The second one was Yang Yan from the School of Automotive Engineering, who was the vice chairman of the Association for Science and Technology of the Department of Automobiles, the director of the Competition Department of the Association for Science and Technology of the Department of Automobiles, and a member of the interest team of future network computing. In terms of science and technology, his paper Effectsoferectableglossalhairsonahoneybee's snectar-drinkingstrategy was published in AppliedPhysicsLetters. Not only has excellent academic performance, but also is enthusiastic about volunteering, he has served as a volunteer for the Yenching Garden Expo, IEEEVPPC volunteer, and will also serve as a volunteer at the Yenching Leadership Conference.

Yang Yan was frightened by the situation just now, and was afraid that this young Professor Liu Meng would ask him some strange questions, so a teacher in the audience said as his recommender: "Yang Yan has a noble and resolute character, once in the test, Yang Yan's hand was stung by a bee, and his whole hand was swollen, but he still continued to insist on the test. ”

Liu Meng was very disgusted by this and immediately said: "Recommend the teacher don't talk about these sensational things, I don't think this has anything to do with any character, and it has nothing to do with today's awards, we are not the judging site of the honey squeezing competition, I am really curious about what kind of experiment a student of the automobile college is doing to be stung by a bee? If he is really stung, the best thing to do is to find a band-aid." ”

Yang Yan and his recommended teacher's face was very ugly, and he was indeed said by Liu Meng, it was just a very small accident, Yang Yan was not doing any test at that time, but was stung when he saw the honeycomb curiosity during the break, saying that this was just to show his character and add a good impression to the judges, but he didn't expect to be poked by Liu Meng on the spot, which had the opposite effect. (To be continued......)