Li You's Tang Dynasty

Chapter 372
Li You went to find Quan Zhixi to help him sew a hot air balloon, the four little ones got together, in Dunhua Square, Yan San followed Li Mingda, because there was food behind Li Mingda.

All kinds of pastries, preserves, and candies, so Yan San likes to follow Li Mingda.

The four came to the living room at home, followed Li Mingda and fell on the rocking chair and asked, "Did you understand what my fifth brother said just now?"

"A little bit. However, it's still too esoteric. Fortunately, the teacher said that he will bring us some books next time, and then teach us, with the help of books.

I think we'll have an easier time figuring it out. "

It was Di Renjie who spoke, and everyone else nodded after he finished speaking.

However, they didn't know that Li Mingda wanted to ask more than just these. After Di Renjie finished speaking, Li Mingda said with an 'hmm': "That is to say, the smartest person among us is willing to believe Can the thing that my fifth brother said about flying into the sky come true?"

After Li Mingda finished speaking, Xiao Baoer on the side nodded quickly: "Of course, if our teacher says yes, then it must be possible, si, there is nothing to doubt about it."

"Indeed. I also think that since the teacher said it, it can be done." Di Renjie also believed in Li You very much.

In the end, Su Qingjie also nodded in agreement with everyone. After Li Mingda heard that his followers believed in his fifth brother so much, the little guy let out a smirk and said, "By the way, do you want to get rich?"

"Clam!"

Everyone was stunned for a moment, they didn't know why Li Mingda suddenly said whether to make a fortune, because after Li Mingda said this last time, they got the title of the four swindlers of Dunhuafang.

Today, Li Mingda said the same thing again.All three of them felt a little uncomfortable.

Tang Dynasty Guozijian. It should be the place with the most young people and rich people in Chang'an. Although Pingkangfang also has many sons and brothers, Guozijian is the place with the most young people and rich people.

Because there is an age limit for entering the Imperial College, apprentices entering the Academy must be between the ages of 14 and 19; apprentices in the Law School must be between the ages of 18 and 25.

This is why you are young.

If you want to enter the Guozijian to study, you must have the status of a civil and military official above the third rank, a descendant of the Duke of the State, and a great-grandson of the second rank or above.

That's why there's money.

And during the Tang Dynasty, Guozijian was unprecedentedly developed, with at least 8000 people in it.

Guozijian in the Tang Dynasty is located in Wubenfang, Guocheng, outside Chang'an City.Wubenfang is located in the northern half between Guanzheng Street and Wenyi Road in the south of Xi'an today, and Guozijian is in the west of the square, occupying half of the square.

The time was around 14 o'clock in the afternoon, and the weather was quite hot at this time. The students of the Imperial College were hiding in the shade in twos and threes to avoid the sun. At this time, four young people walked into the Imperial College.

Li Mingda, Di Renjie, Xiao Baoer, Su Qingjie. The four of them entered the Imperial College without any obstacles relying on Li Mingda's identity as Princess Jinyang.

"Lao Di is up to you this time. You must deceive all the money bags of the Imperial College, and you must be ruthless in asking questions. You must not let them solve it easily."

Li Mingda looked at Di Renjie.

"Yeah!" Di Renjie nodded and said, "I will come up with the problem that the teacher gave us last time, which is the hundred-chicken problem!"

"Ah!" Li Mingda frowned slightly when he heard that it was a question of a hundred chickens: "This question is really too difficult... Even after listening to Fifth Brother, I still can't figure it out. Now the students of the Imperial College are in trouble!"

Chicken problem:

Some time ago, Li You called the four little chickens to his side and gave them 100 Wen to bring 100 chickens the next day.It is also stipulated that among the [-] chickens, there must be roosters, hens and chicks, and there must be no more or less, and it must be exactly one hundred yuan and one hundred chickens.

At that time, it cost 1 Wen to buy a rooster, 5 Wen to buy a hen, and 1 Wen to buy 3 chicks.How can we make up a hundred dollars and a hundred chickens?
It was too difficult. No one bought it right the next day, including Di Renjie. After three days of calculations, it was Li You who finally solved the problem.

In fact, this hundred chickens problem is an indeterminate equation problem.

Everyone should have done it before. Of course, I believe that the brothers who are reading books at this time should return most of these mathematical knowledge to the teacher. Suppose the number of roosters, hens and chicks are x, y and z respectively. According to the meaning of the question, we can get the equation system: 5x+3y+ 1/3z=100 In addition, if we set an integer parameter k, we have: x=4k, y=25-7k, z=75+3k.

Because chicken numbers x , y , z can only be positive numbers, so the value of k that satisfies this set of formulas can only be 1, 2, 3.Use 1, 2, 3 to replace k in the formula,

At that time, the Tang Dynasty could not formulate such an equation, so this question was very difficult!

If this problem is asked, even if a Ph.D. in mathematics from the Imperial College comes, it may not be able to solve it, but if it is an extremely smart person, if he can discover a secret in this hundred-chicken problem.

4 roosters are worth 20 coins, and 3 chickens are worth 1 coin. The total number of chickens is 7, and the number of coins is 21; and 7 hens, the number of chickens is 7, and the number of coins is also 21.If you buy 7 less hens, you can use this money to buy 4 more roosters and 3 chicks.

In this way, a hundred chickens are still a hundred chickens, and a hundred coins are still a hundred coins.

If he could see the secret, he could still solve it, but it was very difficult.

"Anyone come to play a math ring with us?"

Xiao Baoer stood in front of Di Renjie and shouted loudly. Originally, the students of Guozijian were hiding from the sun and enjoying the cool air. It was just when they were bored. When they heard about the math ring game, they all became interested.

Afterwards, someone came over curiously and asked, "Brother, what kind of math arena game are you going to do?"

"Haha. It's very simple. My brother put a math problem here today. I heard that Guozijian is the center of Tang literature. I came here to ask for advice. As long as you can solve my brother's math problem, I will give you a thousand guan. "

"One thousand! Wow!"

This huge number directly made the other students of Guozijian interested. After hearing the number of one thousand guan, many people hurried over from their respective places to enjoy the cool air.

In the beginning dozens of people gathered, but later hundreds of people gathered,

"What kind of topic!" You must know that although the students of the Imperial College are all officials' children, they still need to be assessed if they want to enter the Imperial College.

One test every three days, one test every five days, if you are not a bit smart, then it is impossible for you to stay in the Imperial College.

Because Guozijian has a very bright future. In addition to taking the imperial examination and participating in official careers, they can also enter various central or local government agencies for internships.

Usually the internship period is half a year, during which you must learn how to deal with the affairs of various institutions.If you pass the internship, you can enter the official career.If you fail, you will have to retake it and continue to study in the Imperial College.

And Guozijian is very similar to our current university. When you enter the university, the first thing you encounter is military training. If you think that you can enjoy a life of food and housing after entering the Guozijian.

Does that have a sense of sight of cultivating a prodigal son?

In fact, this group of official children studied together in the Guozijian, and it was not as relaxed and happy as everyone imagined. On the contrary, it was very strict.

First of all, after entering the Guozijian, a strict etiquette education will be held immediately, which is equivalent to the military training of the current university.

During this period, we must strictly abide by the "respect for the instructor, salute, be serious, stand up and listen to the lecture; if you have any questions, you must raise your hand to ask for advice. If the instructor enters and exits the classroom, the supervisor should stand on both sides of the road and greet the instructor. Do not make mistakes rude.

When speaking, the students should stand upright and listen to the lecture; they should be upright and serious, and their clothes should be neat. "

The purpose is to ensure the teaching order and learning effect of the entire Guozijian.

Of course, the military training of the Imperial College will not make you get too tanned, it is better than our military training.

Soon, many Guozijian students asked questions with full confidence, wanting to earn a thousand dollars. Although these Guozijian students were rich, who would think it was too much money?

"Hey, you guys who don't know the heights of the sky and the earth, do you know what my name is?" A student about 20 years old came over with a smile.

This guy has a smile on his face, but his long mouth seems to be a little crooked, and after he smiles, his mouth is even more crooked.

"Your name is Crooked Mouth!" Li Mingda pointed at the other party and smiled.

"You!" When Li Mingda mentioned his pain, the student with the crooked mouth was upset, and stared at Li Mingda with both eyes. At this moment, Xiao Baoer and Su Qingjie hurriedly stood in front of Li Mingda.

Yan San was sitting on the steps below the gate of the Guozijian, holding a grass ring in his hand and was carefully weaving it. He wanted to bring it to Si Zi when he came out, because Si Zi liked Yan San's grass ring the most. .

"I'm not as knowledgeable as you." Although the students with crooked mouths are older, Xiao Baoer and Su Qingjie are as strong as calves. After thinking about it, it's not good to fight, and it's more practical to win money.

"I'm in the Imperial College, and I'm called a little doctor of mathematics. I read "Zhushu" when I was three years old, and "Nine Chapters" when I was five. When I finish the questions, I will see if you will give me money. If you don't, I will report to the official!"

"Zhu Shu" is a book of arithmetic in the Southern and Northern Dynasties of China, which brings together the mathematical research results of Zu Chongzhi and Zu Ding and his son.This book was considered so profound that "scholars and officials could not study its profoundness, so they discarded it and ignored it".

"Zhushu" was included in the "Ten Books of Suanjing" in the Tang Dynasty and became the mathematics textbook of the Imperial College of the Tang Dynasty. At that time, it took four years to learn "Zhushu", which shows the difficulty of "Zhushu".

The full name of "Nine Chapters" is "Nine Chapters Counting", which is a monograph on mathematics written by Zhang Cang and Geng Shouchang in ancient China.It is the most important part of the Ten Books of Suanjing.
"Nine Chapters of Arithmetic" also has its unique achievements in mathematics. It not only mentions the problem of fractions first, but also first records problems such as surplus and deficiency. The chapter "Equations" also expounds negative numbers and their addition and subtraction algorithms for the first time in the history of world mathematics. .

It is a comprehensive historical work and the most concise and effective applied mathematics in the world at that time. Its appearance marks the formation of a complete system of ancient Chinese mathematics.

But facing the indeterminate equation in front of him, hehe, he was completely dumb. This is not because this crooked student is not smart, but because of the crushing of the times.

(End of this chapter)