174.

The development of mathematics in ancient China was once brilliant, and it was greatly developed in the Tang and Song dynasties, but it was completely stagnant or even regressed during the Ming and Qing dynasties, and there are many reasons for this.

In addition to such a "fixed question" because of the institutional problems of the feudal dynasty.

In addition, a large part of the reason is because of the implementation of the eight-strand text in the imperial examination system.

Before the Ming and Qing dynasties, the imperial examination system was at least not as completely rigid as the Baguwen.

For example, in the Tang Dynasty, the imperial examination system had a total of six subjects: Ming Jing, Jinshi, Xiucai, Ming Law, Ming Characters, and Ming Calculation.

The Ming arithmetic department is mainly about mathematics, astronomy, and calendars. In addition, in the Tang Dynasty's Guozixue and the Song Dynasty's Guozijian, there were doctors and teaching assistants in the Department of Mathematics to teach students astronomical knowledge.

However, in the imperial examination system that began in the Ming Dynasty, the "Ming Calculation Branch" was completely abolished, and only eight shares were used to obtain scholars.

This makes mathematicians have a low social status, and those who study mathematics have no way out, not only can they not discuss freely, but they are even imprisoned because of this.

In fact, this is not only for mathematicians, but also for other scientific developments, and even for literary creation.

Because the Bagu article takes the title of the Four Books and Five Classics, the content must be in the tone of the ancients, and it is absolutely not allowed to play freely, and the length of the sentence, the complexity and simplicity of the words, and the pitch must also be relatively written, and the number of words is also limited.

Completely limited by rules and regulations, there is no room for free play or creativity.

Therefore, it can be said that Baguwen completely imprisoned the thinking and creativity of the Chinese people for two entire generations of the Ming and Qing dynasties, up and down for more than 500 years.

And the only benefit of imprisoning the people's thinking and creativity in this way is that it is conducive to the rule and stability of those in power.

This is also an important reason why the rule of the Ming and Qing dynasties was relatively stable, and the reign lasted for more than 200 years.

When he was in college, he also studied the history of mathematics, so he hated the history of the Ming and Qing dynasties, as well as the Baguwen.

However, history does not have ifs, after the establishment of the modern Western scientific system, with mathematics as the cornerstone, physics and chemistry have developed by leaps and bounds, and the rise of Western civilization has become an inevitable trend.

After Cheng Li sighed in his heart, he was no longer sentimental.

Science and technology are advancing, history is developing, and people always have to look forward.

It's like, Cheng Li couldn't have imagined that he would suddenly type on the code, knock and knock and cross like this.

And since we have crossed into this world of cultivation, we cannot be confined to a certain form of science, program, mathematics, etc., nor do we need to reject such mysterious and incomparably novel things as cultivation.

Each has its own strengths, which is also what Cheng Li is good at.

Cheng Li's mentality in this regard is still relatively good, so he quickly regained his strength and began to devote himself to new arithmetic problems.

From the 101st floor onwards, there are some mathematical knowledge of the late European Middle Ages and the Renaissance period on Earth, which can be regarded as the foundation of modern mathematics.

And the question on the 101st floor is also very classic, only to see a new question composed of the light points that hang down under the word "zero zero one zero one" suspended in the center.

"Someone who keeps a pair of rabbits in a walled area is assumed that each pair of rabbits gives birth to a pair of baby rabbits per month, and the baby rabbits are able to give birth two months after birth.

"Q, assuming that all rabbits don't die, how many pairs of rabbits can be bred into in a year?"

As soon as Cheng Li saw this problem, he recognized it at first glance as a classic problem from the "Complete Book of Abacus" compiled by the famous European mathematician Fibonacci.

Fibonacci was the first influential mathematician in Europe after the Dark Ages. He studied arithmetic from the Arabs in North Africa at an early age, then traveled to the countries bordering the Mediterranean, and finally returned to Italy to write the Complete Book of Abacus.

The Complete Book of Abacus is a collection of mathematical problems from ancient China, India, and Greece, covering integer and fractional algorithms, opening methods, quadratic and cubic equations, and indefinite equations, especially the systematic introduction of Indo-Arabic numerals, which had a great impact on changing the face of European mathematics.

Therefore, the "Complete Book of Abacus" can be seen as a clarion call for the recovery of European mathematics after a long dark age.

Therefore, in the arithmetic tablet, the first question in the modern mathematics part that began on the 101st floor is from the "Abacus Quanshu", and after Cheng Li thought about it, he also felt that it was a matter of course.

And this "rabbit problem" is a classic question in the "Complete Book of Abacus", and in answering this question, it also leads to the famous Fibonacci sequence.

So Cheng Li replied directly.

"A: There are 1 pair of rabbits in month 1, 2 pairs of rabbits in month 2, 3 pairs of rabbits in month 3, and 5 pairs in month 4...... There were 89 pairs at the 10th month and 144 pairs at the 11th month.

"And in the 12th month, that is, a year later, there will be a total of 233 pairs of rabbits!"

1、1、2、3、5、8、13、21、34、55、89、144、233、377......

Such a sequence is called a Fibonacci sequence.

The rules for the generation of this series are also very simple, this series starts with the third term, and each term is equal to the sum of the first two terms.

After knowing this law, the answer to this question is naturally very simple.

Interestingly, such a sequence of numbers that are completely natural is expressed in terms of irrational numbers. And when n tends to infinity, the ratio of the former term to the latter term is getting closer and closer to the golden section of 0.618.

For example, the 13th term 233, divided by the 14th item 377, equals 0.618037......

Therefore, the Fibonacci sequence is also known as the "golden section sequence". It is also introduced using rabbit breeding as an example, so it is also called the "rabbit sequence".

In modern physics, quasicrystalline structures, chemistry, and other fields, the Fibonacci sequence has direct applications, and even in stocks.

With such a deep understanding, Cheng Li naturally had no difficulty at all in answering this question.

The arithmetic tablet quickly determined that Cheng Li's answer was completely correct, and Cheng Li stepped into the next layer very easily.

Next up is from the 102nd floor, to the 999th floor.

Cheng Li seems to be roaming in the development of modern mathematics in the Middle Ages.

A very classic question appeared in front of Cheng Li.

Some are well known to Cheng Li, and some are unknown to Cheng Li.

But even for some problems that Cheng Li doesn't know, Cheng Li can draw inferences from one another, and deduce the correct result through his own calculations and proofs.

In this way, Cheng Li went all the way up in the arithmetic monument, and soon came to the 1000th floor.

This layer is also the place where the inheritance of yin-yang arithmetic of Qingling Island is stored, as long as you pass this layer, you can obtain the inheritance of yin-yang arithmetic of Qingling Island!

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(This should be the most photogenic chapter for rabbits...... The rabbit sequence is ^_^ fun)