Chapter 106 Eyeliners are everywhere, a chicken and a rabbit share the same cage, how to solve this problem?(1/3)
Mi Fang's son——Mi Yang.
Not only because of his name, but also because of the amazing mathematical talent he had just shown in calculating grain and gold and silver exchanges, all of this made Guan Lin pay attention.
In fact, Guan Lin was aware of an unavoidable topic facing the rise of Shu Han.
That is...the green and yellow are not picked up.
There is only this group of people that can be beaten, and then there are three or two kittens, and then... they are gone!
There are no generals in Shu, so Liao Hua has to be the vanguard.
It is precisely based on this that Guan Lin will pay special attention to some talented young people in the Jingzhou area.
Guan Xing, Guan Yinping, and Guan Suo are included in this series.
Ma Bing, barely half!
As for...this Mi Yang!
After asking him about his nickname "Luo Geng" again, Guan Lin became even more interested in him.
Mi Yang seemed to have noticed Guan Lin's interest in his "small characters" and explained immediately.
"In the past, when my father gave birth to me, the upright Emperor Liu was overthrown. When the army was defeated, in times of danger..."
"My father named me because he wanted to give me an auspicious name. There happened to be a saying in Donghai, my hometown in Xuzhou, which is to put the child in a basket and then put another basket on top. This will ward off disasters.
If I take refuge, I will have good luck in my life. My aunt then suggested that I name me and put it in a 'luo' basket to ward off evil spirits. If I live a hundred years with 'geng', I will use 'Luo Geng' in small letters!"
Hmm…
Hearing this, Guan Lin exhaled slightly.
He thought that there would be a great mathematician in later generations. His hometown was in Jiangsu. If converted to the Three Kingdoms period, it would have been Xuzhou!
He and the Mi family are from the same hometown!
It can be seen that... from ancient times to the present, the academic spirit of mathematics in Xuzhou has become popular!
"Have you read Arithmetic in Nine Chapters?"
Guan Lin asked directly...
"I have been fond of mathematics since I was a child. I have studied both "Zhou Bi Suan Jing" and "Nine Chapters of Arithmetic" repeatedly."
Mi Yang said truthfully: "There are nine chapters in "Nine Chapters of Arithmetic" and two hundred and forty-six mathematical problems. I dare not claim to be well versed in it, but I boast that... I will not be tested by the mathematical problems mentioned in it.
arrive!"
——"What a loud tone!"
Guan Lin looked at Mi Yang with great interest and continued: "Then let me test you. If you count three or three, there will be two left. If you count five or five, you will have three left. If you count seven or seven, you will have two left. What is the geometry of a thing?"
this…
Mi Yang was slightly startled. He thought for a moment, then deduced and replied:
"The remaining two from the number of threes and threes are placed as one hundred and forty, the remaining three from the number of five and five are placed as sixty-three, and the remaining two from the number of sevens and sevens are placed as thirty. Combined, the two hundred and thirty-three are obtained, and two hundred and one are
Subtract ten and you’ll get it.”
Having said this, Mi Yang raised his head: "The answer is... twenty-three!"
Hey...right!
Mi Yang's answer did not surprise Guan Lin, but the speed of the answer slightly surprised Guan Lin.
Of course, the derivation process of Mi Yang's question raised by Guan Lin is slightly different from the mathematical questions and solutions of later generations.
Translated.
What Guan Lin asked was - if a number is divided by 3 with a remainder of 2, a number divided by 5 with a remainder of 3, and a number divided by 7 with a remainder of 2, find the number?
Mi Yang's answer is - multiply the remainder of division by 3 by 70, multiply the remainder of division by 5 by 21, multiply the remainder of division by 7 by 15, add the three products and subtract multiples of 105, we get
Answer twenty-three!
(ps: that is, 2x70=140, 3x21=63, 2x15=30, 1406330=233, 233-2x105=23)
this…
Guan Lin was slightly startled. In fact, for a moment... he didn't understand Mi Yang's idea of solving the problem.
but…
If it were him, he would definitely write down a "linear equation of two variables"...
——"This guy... has some ideas for solving problems!"
Guan Lin thought to himself, and then asked again.
"I would like to ask you again. There are chickens and rabbits in the same cage. There are twelve heads on the top and thirty-four legs on the bottom. What are the sizes of the chickens and rabbits?"
Guan Lin pondered.
This chicken and rabbit in the same cage combines mathematics with practical applications.
In fact, mathematics can indeed be related to various things in many fields.
Including the formation of troops, including the skills of hundreds of soldiers, including common pharmacology.
Even more grandly, the "p=np" argument was hailed as one of the world's seven major mathematical problems in later generations.
Once completed, it will have a profound impact on cryptography, life sciences, condensed matter... and even the cure of cancer can be easily solved.
Of course, this is for future generations...
However, even in the era of the late Han Dynasty and the Three Kingdoms, the achievements and contributions that a genius in the field of mathematics can make are still limitless.
From here to there…
Guan Lin could not help but think of the decline of talents in the late Shu Han Dynasty...
After all, it’s not that the younger generation has a bad foundation!
There is no complete system for discovering and cultivating talents.
Zhuge Liang left Qishan for the sixth time, and his game was too extreme... The successors he could train were too limited.
This is also the source of the tragedy of "there are no generals in Sichuan, and Liao Hua is the pioneer".
This kind of thing can be seen from Mi Yang.
However, having said that, in this era, the game is about battlefields and maneuvering. Who else except Guan Lin would pile resources on a "great mathematician"?
Thinking of this...
Guan Lin's eyes were dim and he stared at Mi Yang again.
He has some expectations...
Mi Yang can solve this "chicken and rabbit in the same cage" problem.
However, it turns out...
Guan Lin's expectations were a little too high.
Indeed, according to the concept of linear equations of two variables in "Nine Chapters of Arithmetic", this problem can naturally be solved.
But when Mi Yang answered the answer, it took him a total of sixty breaths.
"Reporting to Fourth Young Master..." Mi Yang said, "A total of...seven chickens and five rabbits!"
Although Mi Yang said it very easily, in fact, this requires going through a complicated two-dimensional problem-solving process in "Nine Chapters of Arithmetic".
It's easy to get lost in your thoughts once your thoughts are confused.
really…
Guan Lin shook his head and spread his hands, "How slow!"
this…
Mi Yang was startled. In the past, when he studied mathematics, there was only right and wrong, not... speed!
But I heard Guan Lin chirping...
He talked: "Is it necessary to calculate this question? You can figure it out just by opening your mouth."
"Assuming that all the twelve heads are chickens, there will be twenty-four legs, but in fact there are thirty-four. These few ten are rabbits that are regarded as chickens! Therefore, we need to select from the hypothetical twelve chickens.
Remove five rabbits, 12-5=7, that is, there are seven chickens in total, and five rabbits!"
this…
So fast?
Mi Yang was startled. He didn't expect that... this question could be solved in this way.
Who would have thought, before he came back to his senses.
Guan Lin said another solution, "Twelve heads and thirty-four legs. We can also assume that half of the chicken and rabbit legs are removed. Half of the thirty-four legs are seventeen, and at this time the chicken's legs are
There are just as many heads and legs. We use all the legs, seventeen, and subtract all the heads, twelve, which is equivalent to removing one leg from all the chickens and rabbits. Now the chickens have no legs, but what about the rabbits? There is only one left.
To be continued...