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On this day, Lorenz wanted to know more about the subsequent changes in a certain record, so he re-entered the weather data at a certain moment into the computer, so that the computer could calculate more subsequent results. At that time, the brain of the Dian Bi clan was not happy to process the data several times, and before the results came out, it was enough for him to have a cup of coffee and chat with friends for a while. An hour later, the results came in, but he was dumbfounded.

Compared with the original information, the initial data is about the same, and the later it is, the greater the difference in the data, just like two different pieces of information. And the problem is not with the computer, the problem is that the data he inputs is poor, and these small differences make a world of difference. So long-term accurate weather is impossible.

Han Xin points troops. According to legend, Liu Bang, the ancestor of the Han Dynasty, asked the general Han Xin how many soldiers he commanded, and Han Xin replied that there were more than 1 person in a column of every 3 people, more than 2 people in a column of 5 people, more than 4 people in a column of 7 people, and more than 6 ......people in a column of 13 people. Liu Bang was at a loss but didn't know how to count.

Let's consider the following question first: If there are less than 10,000 soldiers, and there are 3 soldiers left in a column of 5, 9, 13, and 17, how many soldiers are there?

First of all, we first find the least common multiple of 9945 (note: because it is a two-by-two coprime integer, its least common multiple is the product of these numbers), and then add 3 to get 9948 (person).

There is an ancient Chinese mathematics book Sun Tzu Shujing that also has a similar problem: There are things today, I don't know how many they are, three or three are counted, two are left, five or five are left, three are left, seven or seven are counted, and two are left, asking how much things are geometric? 」

Answer: Twenty-three

Shu said: The remaining two of the three and three numbers, put one hundred and forty, the remaining three of the five five numbers, put the sixty-three, the remaining two of the seven and seven numbers, put the thirty, and merge them, and get two hundred and thirty-three, and subtract ten of the two hundred and one tombs. Where there is one left in the number of three or three, then put seventy, the remaining one of the five or five numbers, then the ruler is twenty-one, and the remaining one of the seven or seven numbers is placed in fifteen, that is, it is obtained. 」

One day in 1796, at the University of Göttingen in Germany, a 19-year-old young man with a great talent for mathematics finished dinner and began to do the daily routine of three mathematical problems assigned to him by his tutor.

The first two questions were successfully completed in two hours. The third question is written on another small piece of paper: it is required to draw a regular 17-sided shape using only a compass and a ruler without a scale.

He felt very struggling. Time passed minute by minute, and there was no progress in the third question. The young man racked his brains, but he found that all the math he had learned did not seem to help solve the problem.

The difficulty aroused his fighting spirit: I must make it! He picked up the compass and the ruler, and as he pondered, he drew on the paper, trying to find answers with some unconventional ideas.

When the window showed light, the young man breathed a sigh of relief, and he had finally completed the puzzle.

When meeting the mentor, the youth felt some guilt and self-blame. He said to his mentor, "I did the third question you assigned to me all night, and I failed your cultivation ...... for the lack of my head”

The tutor took the student's homework and looked at it, and was immediately stunned. In a trembling voice, he said to the young man, "Did you make it yourself?" The young man looked at the mentor with some confusion and said, "I did it." However, I spent the whole night. ”

The instructor asked him to sit down, took out the compass and ruler, spread the paper on the desk, and asked him to make another 17-sided shape in front of him.

The young man quickly made a positive 17-sided shape. The mentor excitedly said to him, "Do you know?

You've solved a math mystery that's more than 2,000 years old! Archimedes didn't solve it, Newton didn't solve it, you solved it in one night. You are a true genius!

It turned out that Sakura had learned that the mentor had always wanted to solve this problem. On that day, it was because of a mistake that he handed the note with the question written on it to the student.

Whenever the young man recalls this scene, he always says, "If someone had told me that this was a mathematical problem that was more than 2,000 years old, I would probably never have the confidence to solve it." ”

This young man is the prince of mathematics, Gauss, and he is dressed up.

One afternoon in the self-study class, the teacher arranged for us to write homework (related to mathematics), saying: Whoever finishes the day's math homework first can go home first! The teacher corrects the homework on the podium by himself!

My buddy was a good student back then, 40 minutes of self-study class, only 15 minutes later, I was almost finished, because I was too involved in writing, I forgot that I was in class and thought I was at home, I thought I was almost done, so I raised my head and shouted: Mom, I want to eat steamed sausages and fried eggs at night (this is my favorite)!At that time, I didn't pay attention, and the teacher didn't pay attention and replied

All right! (The teacher's family is also a son), the teacher and I felt that the voice was wrong at the same time, and when I looked up, I realized that it was at school, and the two of us were sweating. Then came the laughter of the class.

Anecdotes of mathematicians.

A collection of math fun facts.

In fact, some magic tricks are made using mathematical principles. For example, there are a lot of poker magic tricks, you can search for them on the Internet, change them first and then tell everyone about it, which will be very interesting.

You can tell your own fables and math stories!