Li Shimin's voice came from behind him. Li Mu suppressed his anger, turned around and said with a smile: "Your Majesty, the quality of the pens at my house is too bad. It doesn't matter. I won't delay."
Li Mu turned back, the smile on his face quickly faded, and he lowered his voice and said: "If you two keep asking questions, you will know the solution after resting in this life. Now let me tell you, if you two listen, if you don't understand, think for yourself, don't stop
Ask me!"
Seeing that Li Mu was furious, Li Chunfeng and Li Tai didn't dare to ask any more questions. There was no way, who could let him be the only one in the world to know the solution to this problem? If he was really anxious, he wouldn't teach, what else could anyone do?
Even if the emperor hires a teacher, the teacher must agree, right?
"In this problem, there are three unknowns, namely roosters, hens, and chicks. The three are combined into one, a total of one hundred. Now I assume that there are a roosters and hens b, then I can get the number of chicks
number."
Li Mu wrote down a, b and 100-a-b, and said: "You have read Datang Daily. Can you understand it if you write it like this?"
"Brother..."
Li Tai wanted to ask a question, but Li Mu didn't give him a chance to ask. He continued: "Also, we know that the rooster is worth five, the hen is worth three, and the three chicks are worth one, totaling one hundred. Then we can draw this equation
Mode."
Li Tai really wanted to ask what an unknown number is and what an equation is, but seeing Li Mu's attitude, he didn't dare to say anything. He quietly looked at Li Chunfeng and saw that he seemed to understand. Not only did he sigh in his heart
, As expected of Master Chunfeng, he can understand it.
In fact, Li Chunfeng also knew little about it, but he did know a little more than Li Tai. At least he could understand what the equation meant. Before he came, he carefully studied the symbols designed by Li Mu and knew that the equation should probably be the values on both sides.
means equal.
"5xa+3xb+(100-a-b)x1/3=100"
Seeing this, Li Chunfeng finally couldn't help it anymore and said: "Master Hou, please forgive me, what is the purpose of this slash? There is no such one among the four arithmetic operations symbols."
Li Mu endured his anger and said: "Three chickens are worth one, so how much is one chicken worth? Naturally, one divides three, but can one divide three? No, because one is smaller than three. So how should we express it?
This number is less than one, so I invented the concept of 'fraction'. The person who scores the points is also the fraction. The top is the number being divided, and the bottom is the number of copies. Do you understand?"
Li Chunfeng suddenly realized it and said quickly: "I understand, I understand."
Li Mu was about to continue, when he suddenly hesitated. Is it really appropriate to raise the level of contemporary mathematics too high at once?
The development of all human subjects is caused by human needs. The same is true for mathematics. The main reason for the slow development of mathematics in ancient times is not the degree of human evolution, but the degree of human needs. In ancient times, there were few people and few resources, so the need
The calculations are also less. Therefore, it does not require too much mental mathematics, and people cannot imagine the abstract part of mathematics.
But does this mean that the ancients were stupid? Of course not, it’s just that the ancients used their talents elsewhere. If he forcibly raises mathematics to a higher level, Li Mu doesn’t think it will have much effect, and it will also attract attention and be regarded as
Like a monster.
No, you still have to control it.
Having made up his mind, Li Mu did not list the second equation, but adopted the exhaustive method.
Li Mu pointed to the equation and said: "Looking at this equation, 5xa represents the money spent by the rooster, 3xb represents the money spent by the hen, and the money spent by the chick, we can get it from (100-a-b)x1/3
.At the same time, we can also derive three pieces of information based on the question and this equation."
"The first one, the number of chickens, is divisible by three."
"Second, a, b and the number of chicks are all a number greater than zero."
"Third, a, b and the number of chicks are all an integer."
Li Taimeng asked cutely: "Brother, what is an integer?"
"Integers are numbers like one, two, and three, complete numbers!"
"Then why can't it be a fraction? Just like the amount of money you just mentioned for the chick..."
Li Mu's face darkened, he raised his hand and knocked Li Tai on the fat forehead, and cursed: "Have you ever seen what half a live chicken looks like?!"
"I..." Li Tai opened his mouth and suddenly reacted, feeling ashamed. Yes, there are only whole live chickens, not half ones. How could he ask such an insane question!
Li Mu continued: "In this way, we can start from the chicken. You have all seen the division method in Datang Daily. We use three as the divisor and divide one by one, we can get some multiples of three."
"This is the first step. Let's calculate all these numbers and put them aside for now."
"Then comes the second step. Let's assume that all the money is used to buy roosters. So how many roosters can we buy if we buy more roosters? One hundred divided by five, up to twenty. But the question requires chickens and hens, so it is impossible.
It is twenty, or at most nineteen. Among the three pieces of information obtained previously, the number of roosters is greater than zero and is an integer. Therefore, the number of roosters is between one and nineteen."
"Then there are hens. Calculated in this way, it can be concluded that the number of hens is an integer greater than zero and less than thirty-three."
"Finally, we can start testing. We start testing with the maximum possible multiple of chicks, and then subtract one hundred from the resulting value, which is the total number of roosters and hens combined. A total of thirty-three experiments, then
You can get the correct answer."
As Li Mu spoke, he threw away his pen and said: "I won't do the calculations myself. The master brings you in to practice. If I teach you step by step, you will never learn. It is better to teach a man to fish than to teach him how to fish."
, I have given the method to you, try it yourself."
Li Tai was still a little confused, but Li Chunfeng had some clues. As for what Li Mu said, it was not a problem for him to calculate thirty-three times. In order to solve this hundred chicken questions, he calculated thousands of times.
It has been solved several times, but it has not been solved. Li Mu has already pointed out the door. Calculation with goals is better than headless flies. He immediately stood up, bowed to Li Mu deeply, and said: "Master Hou is a great talent.
Not only did he solve the problem of a hundred chickens, he also invented his own unique set of algorithms and symbols. With this, he is worthy of being the first person in arithmetic in the world." After that, Li Chunfeng saluted Li Shimin again and said: "Your Majesty.
, In front of the Marquis, I really don’t dare to take the name of the Grand Master, so I would like to ask Your Majesty to give this title to the Marquis, so that I can feel at ease."
A seventeen-year-old grandmaster?
Li Shimin glanced at Li Mu and said: "Chunfeng, I know your ability. Two years ago you annotated ten arithmetic scriptures, and both the government and the public admired your arithmetic attainments. The name of this great master cannot be
It was given to you by me, but it was your own ability. Now you want to transfer this title to Li Mu, he just solved a problem, does he really deserve this reputation?"
Li Chunfeng said seriously: "Your Majesty, the talent of the Marquis is the only one I have seen in my life. I don't care about others, but when it comes to arithmetic, the Marquis is far superior to me. Your Majesty may not know that these symbols invented by the Marquis and his four
The calculation method is simple and easy to use. Even an illiterate villager with a little wisdom and a few days of teaching can serve as a shop accountant. When these four calculation methods are promoted throughout the world, the Tang Dynasty will no longer be short of clear calculations.
Man. Your Majesty no longer needs to be enlightened and just take materials from one subject. Isn't this a huge achievement?"
It can be seen that Li Shimin still has full trust in Li Chunfeng. Seeing that he is so sure, he can't help but believe it. But the title of Grand Master is not something that can be given lightly. Even if Li Chunfeng thinks that his skills are inferior to others, it is useless.
It must be convinced by both the government and the opposition.
Li Shimin thought for a while and said: "This matter needs to be discussed calmly. You are an expert in arithmetic. Let's first calculate whether Professor Li Mu's method is correct, and then see how the four algorithms are implemented and see the results."
Li Chunfeng wanted to say again that Li Mu was indeed very hungry. He didn't care at all whether he was a grand master or not. At this time, he was more concerned about his lunch. He then interjected: "Thank you Tai Shi Ling for your kindness.
Hou doesn't want to be a great master. Regardless of whether he invented the symbol or the algorithm, his original idea was just to facilitate the use of the illiterate craftsmen in the Ministry of Works. Forget about the false name. Well, you and the King of Yue are here to calculate.
I still have something to report to Your Majesty."
With that said, Li Mu approached Li Shimin and said: "Your Majesty, I have invented a new thing, which is an important tool for the benefit of the country and the people. I was about to write a memorial when your Majesty happened to be here. Why don't you see it with your own eyes?
The ministers from the province can’t explain it to me again.”
"A magical weapon that benefits the country and the people?" Li Shimin didn't believe it, but thinking of Li Mu's various magics, he thought he had invented another thing like the 'Zhenguan Plow', so he also thought about it and said: "Where is it, take me with you?"
Go and see.”
"In the kitchen……"
"Um?"
"No, no, no, I was really hungry. I said the wrong thing at the moment. I'm in my studio. I'm in my studio."
Seeing Li Mu's pitiful look, Li Shimin snorted and said, "It seems like I'm scolding you too much... That's all. I'll wait in your studio first, and you can go and have something to eat before coming back. Remember,
be quick!"
Li Mu quickly thanked him, raised his legs and ran away. He was really hungry and secretly swore in his heart that every morning from now on, he would listen to Qiao Qiao's advice and get up to have breakfast, and he would never sleep in and mess around with that little goblin Li Zhien again.
Li Shimin shook his head and sighed, then glanced at Li Chunfeng and Li Tai who were already squatting on the ground concentrating on calculations, and walked towards Li Mu's studio. He had been to Zhuluhou Mansion many times, so he could naturally find it.
, who doesn’t know who Li Shimin is. Although no one can enter Li Mu’s studio, is Li Shimin a no-nonsense person? Is there any place in the world that he can’t enter?
Li Shimin pushed open the door and entered the studio. Suddenly his eyes narrowed and he saw the luminous pearl hanging on the beam, and his expression suddenly changed!