Text-only online reading of the domain name of Biquge

Yanbo Diaosuo heard Aunt Ying's question, and replied: "Although my martial arts are from Qimen Dunjia, I am not very proficient in mathematics, and I mainly learn the "Five Classics of Arithmetic" and "Zhou Ji Arithmetic", which are just used in martial arts. ”

Aunt Ying saw his martial arts, and when she heard this, she only thought it was a modest remark, and casually asked a few arithmetic questions, and communicated with Yanbo Diaosu to explain.

Arithmetic problems are profound and time-consuming, and those who don't understand them are extremely boring to listen to. Fang Zhixing saw that everyone was interested, and felt that it was too late, so he said to Aunt Ying: "It's getting late today, there is still a number room in my study, let's have time to communicate again another day!"

When Aunt Ying heard this, she also knew that she was a little abrupt, and when she heard Fang Zhixing's words, she confessed her guilt, and everyone dispersed.

The next day, Zhou Botong went to practice boxing early in the morning and continued to deduce the use of boxing out of nothing that he had realized. Seeing this, Aunt Ying didn't persuade him, remembering what Fang Zhixing said about "counting rooms", so she invited them to discuss together. Yanbo fishing is indispensable, but the deaf and dumb head Tuo does not understand this, he has a withdrawn temperament, does not like to interact with people, and feels that this time has been long enough, so he said goodbye and left. Fang Zhixing couldn't keep it, so he had to be sent to the bottom of the mountain with Li Mochou and say goodbye. Then he went to the number room with Yinggu and Yanbo Yusuo to discuss the number of techniques together.

Fang Zhixing's study said it was a room. In fact, it is better to say that it is a book building. In the past few years, he has been staying in Chixia Village, in addition to taking care of his daughter and teaching apprentices, in his spare time, he writes down the classics he knows. and organize it. He has gone through three lives, learned a lot, and his memory is not bad, and he has a lot of insights when he writes silently, and he has also written a lot of annotations. At this time, in addition to the secret books of martial arts, there are also Confucianism, Taoism, Buddhism and Buddhism classics, qin, chess, calligraphy and painting, subsets of scriptures and histories, etc., which can be said to be extremely rich.

Ying Gu and Yanbo Diaosu never expected Fang Zhixing's collection of books to be so rich. When I saw this scene, I was amazed. Yanbo Diaoyu even sighed: "The ancients said that 'sweat cows are full'. I guess that's just that! Brother Fang is really a studious person, just seeing this, he can be said to be the master of the world!"

Fang Zhixing smiled slightly and said, "My brother thinks highly of me." I've only collected these books temporarily, and I may not be able to read them all, let alone integrate them. The elder brother said that I said that I was a scholar, but it was too exalted!"The invasion of the Jin soldiers and the Mongols was a great disaster for the Central Plains culture. It's just that you can't learn these things by yourself. and to remain for the Hereafter, and to fulfill their hearts.

While speaking, Fang Zhixing had already led the two of them. After passing through the chess room, I went to the next room. Mathematics is one of the most important subjects, and although people did not pay much attention to it at the time, Fang Zhixing set up a special room to study it.

Aunt Ying was very excited when she saw several large bookshelves full of books in the room. Just go up and check it out. Seeing this, Fang Zhixing pulled out a list from the bookshelf. Let Aunt Ying use it for retrieval.

Yanbo Yusuo saw this book list on the side, and looked at the labels on the bookshelf, and was immediately surprised, and said: "Brother Fang's coding method is unique!" He has a lot of knowledge, but he has never seen Fang Zhixing's book coding method, so he said.

"Where, it's just for convenience!" Fang Zhixing said. He used the coding methods commonly used in later libraries, and combined with some methods used by contemporary people, which made classification and retrieval more convenient. It's just that if you look at it from an outsider's point of view, you may not understand it very well. Fang Zhixing briefly introduced the coding method he used to the two and asked them to search for books.

Both of them are smart people, and after a while, they understood this method and couldn't help but praise it. Regardless of whether Fang Zhixing's method is easy to use for the time being, he can create a system, which is really extraordinary. Ying Gu even pointed to the number on it and said, "This is the number symbol you used, but you created it yourself?" She was quite strange when she saw this number, and asked Fang Zhixing.

Fang Zhixing saw Ying Gu pointing to the symbol he used that later generations called Arabic numerals, and replied: "This is a Tianzhu number, which was later introduced into the Great Eclipse, and I thought it was quite simple, so I adopted it myself." "The roots of Arabic numerals lie in Indian numerals, so Fang Zhixing explained them to Yinggu.

Aunt Ying looked at it for a while, but shook her head and said: "I have also seen Tianzhu numbers, and you have the same number as the word '〇', although the other number twists and turns are somewhat similar, they are completely different, they should be original, right?" However, she had never seen Fang Zhixing's way of writing, so she guessed like this.

Fang Zhixing is proficient in Sanskrit, so he naturally knows that the Arabic numerals he uses from later generations are very different from today's Tianzhu numbers, but he really doesn't dare to be greedy for heavenly merit. Hearing what Aunt Ying said, she replied: "This is a change from my predecessors, although I have gained something, I don't dare to take this credit!"

When Aunt Ying heard this, she nodded, the number symbols in the current text are too complicated, and because of confidentiality and other reasons, many people have their own original number symbols, and it is not surprising that Fang Zhixing can get this set of symbols.

"I don't know how to write the Tianzhu number?" Yanbo Diaosu asked when he heard what the two of them said. Seeing that the numbers used by Fang Zhixing were quite simple, he was also extremely curious about this, and asked the two of them.

Hearing this, Ying Gu walked to a sand table next to her, drew a few letters on it, and said to Yanbo Diaoyusu: "This is the Tianzhu number, also known as the Tiancheng number, this symbol is crooked, it is okay to write on the sand table, but it is not so smooth to write with a brush." Compared with the numbers used by Zhixing, it is also much more complicated. ”

When Yanbo Yusu saw these symbols, he nodded and said, "That's true, the numbers used by Brother Fang are even simpler than this!"

Fang Zhixing saw that the two of them kept talking about this set of figures, and he was worried that the two would lie if they looked into it. Instead, he said: "I don't know what number Senior Liu used? Can you let Zhixing see it." ”

"I learned the arithmetic from others, and this is what I wrote it like!" Aunt Ying heard Fang Zhixing ask, and drew a few symbols on the sand table. took the calculation chips next to him and demonstrated them to Fang Zhixing one by one.

Fang Zhixing was quite surprised when he saw Aunt Ying fiddling with calculations. Although he knows a little about arithmetic, he doesn't know much about it. Nowadays, the abacus has been quite perfect, and because of the convenience of use, it is widely used, and it can be said that few people use the abacus. And after the Mongol and Jurchen invasions. The method of calculation was lost in later generations, and Fang Zhixing saw this ancient method. Naturally, I was quite curious, and I asked carefully.

Although Yanbo Diaosu has seen some methods of calculation, like Fang Zhixing, he is not proficient in this. It's more about using an abacus. Hearing that Aunt Ying was good at this, she also listened quietly.

Seeing the two of them like this, Ying Gu grabbed a handful of bamboo sticks, said a few arithmetic problems at random, and demonstrated them to the two. She has studied for more than 30 years, and it can be said that she is quite proficient in this, and it is not difficult to practice the use of arithmetic.

However, even if the usage method is broad and profound, Ying Gu only rehearsed the simple addition, subtraction, multiplication and division usage slightly. As for the complex method, it is difficult to demonstrate it at once. Fang Zhixing and Yanbo Diaosuo only listened to her introduction this time, and left it for later study.

"These words written by the seniors. But Suzhou yards?" Fang Zhixing was quite familiar with some of the symbols used by Ying Gu when he practiced arithmetic, and remembered the numbers he saw in the account room when he opened the dart game in the previous life, and asked Ying Gu. This Suzhou yard is said to have evolved from the calculation chip, and now it seems that it is indeed very similar.

When Aunt Ying heard "Suzhou yards", she didn't understand the title. Said: "What is the 'Suzhou yard'? This is the 'flower yard', which is changed from the chips that are counted and counted. It's easier to write. ”

Fang Zhixing nodded, knowing that there was no such thing as "Suzhou yard" now, so he had to shirk and say that he saw it from Suzhou and named it himself. Compared with the Tianzhu number, this set of numbers is indeed more simple to write with a brush, so it is no wonder that the Tianzhu number has not become popular in the Central Plains. However, if it is compared with the Arabic numerals that have evolved and perfected in later generations, they are quite inferior. And most importantly, Arabic numerals are common numbers in later generations, and I don't know how many mathematicians have evolved and used them to form a very complete system, which is much more advanced than the arithmetic system. And with the abacus, it is more convenient than the abacus. Fang Zhixing's abacus method has now reached the level of mental arithmetic, and he can turn into a virtual disk in his mind, so he naturally does not need to learn another arithmetic.

Of course, this counting is also a set of counting methods that have been exhibited for thousands of years, and it is very similar to Qimen Dunjia and other knowledge. Now that there are people who are good at this again, Fang Zhixing certainly has to learn it. Thinking of this, he took out a booklet from the bookshelf and asked the two of them to look through it.

Aunt Ying and Yanbo Diaosuo saw Fang Zhixing take out a booklet, although they didn't know why, they also flipped through it. When I opened it, I immediately knew that this was a note made by Fang Zhixing about the number symbols used in the introduction. And unlike most books, this booklet is more horizontally written, from left to right, which can be said to be quite different. Although the two were a little puzzled, they also encountered a lot of horizontal writing when they were in contact with arithmetic, but they also slowly got used to it.

Fang Zhixing's booklet is actually a notebook written for convenience, comparing the Arabic numeral system with today's numeral system. Most of them are basic calculations, and there are some answers to classic questions in the ten books of arithmetic, although there is no intention of writing a book, and the writing is not systematic, but there are many merits. Now let Aunt Ying and Yanbo Yusuo check it, and it's just to communicate with the two of them.

Ying Gu and Yanbo Diaosu are also quite proficient in arithmetic, and after the two of them understood the rules of Fang Zhixing's narrative, they saw Fang Zhixing's answers to some questions, and immediately understood the beauty of this set of counting methods. Yanbo Yusuo even took an abacus, crackled, and admired it. Fang Zhixing's method is really very convenient. Thinking of this, he took a similar notebook from the bookshelf and began to study.

Fang Zhixing was shocked when he saw the notebook taken by Yanbo Yusuo, but it was inconvenient to stop it. After thinking about it for a while, I also had some expectations in my heart. Yanbo Diaosu is proficient in the study of Qimen Dunjia, if he can deduce any method from it, it will be a joy again.

Yanbo Yusuo calculated Fang Zhixing's notes for a while, feeling that they were becoming more and more profound. There are also many changes in the direction, and I have already noticed that this is a set of martial arts, and I immediately knew that it was abrupt. I was about to get up and apologize. Seeing Fang Zhixing's expression, he blamed: "Why don't you say it, don't you make it difficult for my brother to do this? If it is passed out, what else can I do?" Although he was unintentional, if it was passed out, he might also be labelled as a hat for coveting other people's martial arts. Although he doesn't care what others say, he doesn't want to commit taboos.

Fang Zhixing heard Yanbo Fishing and blamed. hurriedly apologized and said, "My martial arts were acquired by accident. I haven't understood it myself, and I'm trying to find someone to help me understand it, and I hope my brother won't blame me!" If it's true, it's going out. But it will damage the reputation of Yanbo Fishing.

Aunt Ying heard the words on the side, and said, "What kind of martial arts? Is it also related to the number of techniques?" She herself has also learned a lot of martial arts principles from the number of techniques, but it is not systematic, it is because she saw Yanbo Diaosuo's set of martial arts based on Qimen Dunjia yesterday that she was so excited. At this time, he heard that Fang Zhixing also had similar kung fu, and asked him.

"This is a sword technique, called 'How is Dai Zong'. After training, you can calculate the enemy's position, martial arts school, body length, blade size, and the height of the daylight, etc., which is extremely complicated. But once calculated. The sword was struck, but all of them were hit. Fang Zhixing heard Aunt Ying's inquiry and explained. How did this Dai Sect come from his previous life. In this life, the Taishan Sect is only in its infancy, and it is still extremely weak, and he has not created this kung fu, even if he passes it on to others, there is no hindrance.

Aunt Ying and Yanbo Diaosu were surprised when they heard this. If there really is such a sword technique in the world, wouldn't it mean that they can be invincible in the world? But the two of them are well aware of the complexity of arithmetic calculations. But she didn't believe it, Ying Gu said: "How can anyone in the world calculate so many things at once? If you use it against the enemy, it is estimated that you will die first, right?" I think even Huang Rong's little girl, it is difficult to learn this kung fu, this martial art is really flashy!" Fang Zhixing said so many aspects, only one can be calculated in an instant is already extremely extraordinary, Ying Gu naturally does not believe that someone can calculate so many things in an instant. She had seen Huang Rong's intelligence back then, but she didn't think that Huang Rong could learn it. And although the Lord of Peach Blossom Island may be calculated, with his martial arts, he doesn't need this kind of martial arts.

Yanbo Diaosu naturally thought that it was difficult for someone in the world to calculate so many things at once, but he was good at Qimen Dunjia, but he put forward another explanation, and said to Fang Zhixing: "Could it be that this martial art is a fortune divination kung fu, if this is the case, it is possible to calculate it." "An important role of Qimen Dunjia's learning is fortune-telling, divination, if you are proficient in this way, it may not be able to be calculated in an instant, it is so guessed by the smoke wave fishing.

"I also thought so at the beginning, because I learned from the master and wanted to crack this set of kung fu. But in my spare time over the years, I deduced some algorithms from the song of this martial arts, and I felt that if I could simplify it again, I might not be able to solve this kung fu with arithmetic, so I deduced it. Fang Zhixing said. He also believes that this set of martial arts is to be sensed by the mind and deduced with Yi Li. But there are many things in Yili that are connected with arithmetic, and they are also deduced with arithmetic at the same time, and now they have gained from both aspects, and they are consciously somewhat sure. If you can summarize a few basic theorems and formulas, mental arithmetic is extremely fast, and you can't use this set of kung fu.

Saying that, Fang Zhixing carefully explained to the two of them the mantra of "How is Dai Zong", as well as some formulas that he deduced from it. He deduced that he was poor by himself, and with the help of these two people, he couldn't say that he could have another enlightenment. He has been getting this martial art for more than ten years, although he has not concentrated on studying, but he has not stopped, and now he sees hope, so he communicates with people again.

Ying Gu and Yan Bo Diaosu didn't believe that there was such a wonderful method in the world, but when they heard Fang Zhixing say, they felt that there were some doorways. I couldn't help but think about it. Yanbo fisherman took a charcoal pen, and used an abacus to calculate. And Aunt Ying put up a calculation and deduced it on it. Both of them have their own set of arithmetic methods, and of course they use the best methods to deduce.

Fang Zhixing saw the calculation process of the two, although he could understand most of them, but some of them really didn't understand, and he didn't bother the two, but just watched carefully from the side to see the solution ideas of the two.

For a while, there was silence in the room, only the crackling sound of the smoke wave fishing abacus, and the rustle of Yinggu's bamboo sticks in the sand table, constantly echoing in the room.

After a long time, the two of them felt that they had touched some doorways, but there were more confusions. Feeling this, Yanbo Diaoyu took the lead in taking out Fang Zhixing's booklet and re-calculating it against the calculation method. Yinggu, on the other hand, is more advanced in arithmetic, but she continues to deduce according to her own methods.

Fang Zhixing saw that Yanbo Diaoyu was only a little more than half a day's work, so he touched the door of this trick "how Daizong is", and also made many explanations for the change of his position in the Chinese side that he did not expect, and he also had enlightenment in his heart, and deduced it along the way. He is indeed not as proficient in the change of direction in Qimen Dunjia as Yanbo Diaosuo, otherwise he would not have been able to deduce a five-element step over the years, which is the original Beidou footwork, if it were not for the foundation left by Wang Chongyang and the help of Quanzhen Liuzi, it would be difficult for him to deduce it. (To be continued)

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