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Hearing Aunt Ying's question, Yanbo Diaosu replied: "Although my martial arts are from Qimen Dunjia, I am not very proficient in mathematics, but I have simply learned the "Five Classics of Arithmetic" and "Zhou Ji Arithmetic", which are mainly 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 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.

He is inconvenient to communicate with people, and has a withdrawn temperament, and does not like to interact with people, and feels that this time has been long enough, so he has to say goodbye and leave. 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. Li Mochou had no interest in this, and took care of Fang Yuxia by himself.

Fang Zhixing's study is said to be a room, but in fact, it is better to say that it is a study. 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 dictates and sorts out the classics he knows. Fang Zhixing has gone through three generations. I have learned a lot, and my memory is not bad, and I have a lot of insights when I write silently. A lot of annotations have also been written. At this time, in addition to the secret books of martial arts, there were also the classics of Confucianism, Taoism and Buddhism, the subset of scriptures and history, the qin, chess, calligraphy and painting and so on that he had acquired and written silently by himself. It can be said that it is extremely rich.

Ying Gu and Yanbo Diaosu never expected Fang Zhixing's collection of books to be so rich, and when they saw this scene, they were amazed in their hearts. Yanbo Diaosu even sighed: "The ancients said that 'sweat cows are full', it is estimated that it is nothing more than that! Brother Fang is really a studious person, just seeing this, you can be called everyone in the world!"

Fang Zhixing smiled slightly and said, "My brother thinks highly of me, and I have only collected these books temporarily." It may not be possible to read it all, let alone integrate it. If you talk about learning, it is too exalted!" "The invasion of Jin Bing and Mongolia was a great disaster for the Central Plains culture, and when he visited the Taoist collection in Huashan in his previous life, he lamented that many of the Taoist scriptures of the previous generation were scattered and incomplete, and he was fortunate to see them in this life, and of course he collected them. Even if you can't learn these things yourself, you have to leave them for future generations and fulfill your heart.

Between words. Fang Zhixing had already led the two of them past the chess room and to the next room. Mathematics is one of the most important subjects. Although people did not attach much importance to it at the time, Fang Zhixing set up a special room to study this way.

Aunt Ying was very excited when she saw several large bookshelves full of books in the room, and she was about to go forward to check them. Seeing this, Fang Zhixing took out a list from the bookshelf and asked Aunt Ying to use it to retrieve.

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

"Where. It's just convenient!" 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. Therefore, 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. After Aunt Ying understood, she 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 in agreement. The number symbols in the current text are too complex, 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 of them would have to find a way to prove the lie when they studied it deeply, so he said instead: "I don't know what number Senior Liu used? ”

"I learned the arithmetic from others, and this is what I wrote it like!" Aunt Ying heard Fang Zhixing's question 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. He knows a little bit about arithmetic. But the understanding is not deep. Nowadays, the abacus has been quite perfect, and it is because of its simplicity and speed. The adoption is quite widespread, and it can be said that few people use the arithmetic chip anymore. After the invasion of the Mongols and the Jurchens, the method of calculation was lost in later generations, and Fang Zhixing was naturally quite curious when he saw this ancient method, and carefully asked for advice.

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 slightly rehearsed the simple addition, subtraction, multiplication and division usage, as for the complex method. But it's hard to demonstrate all at once. Fang Zhixing and Yanbo Diaosuo could only listen to her brief introduction and leave it for future study.

"These words written by the predecessors, but Suzhou yards?" Fang Zhixing was quite familiar with some of the symbols used by Yinggu when he practiced arithmetic. Remembering the numbers he saw in the account room when he opened the dart game in the previous life, he asked Aunt Ying. 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, and said: "What is 'Suzhou yards'? This is a 'flower yard', which is changed from the chips that are counted, and it is easier to write. ”

When Fang Zhixing heard this explanation, he knew that there was no such thing as "Suzhou yard" now. I had to shirk and say that I saw it from Suzhou and named it myself. This pattern is indeed easier to write with a brush than the Tianzhu numbers. In this way, it is no wonder that the Tianzhu number has not become popular in the Central Plains. However, if compared with the Arabic numerals that have evolved and perfected in later generations, this pattern is quite inferior. And most importantly. Arabic numerals are the common numbers of later generations, and over the centuries, 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 if it is used with an abacus, it is more convenient to use. 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 calculation.

Of course, this counting is also a set of counting methods that have been developed for thousands of years, and it is very similar to Qimen Dunjia and other knowledge. Now that there are people who are proficient in this way, of course Fang Zhixing has to learn it. Thinking of this, he took out a booklet from the bookshelf and asked the two of them to flip through it and discuss the transformation of the two systems.

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 that compares the Arabic numeral system with today's numeral system for the convenience of writing. 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 Yinggu and Yanbo Yusu check it, it is to communicate with the two of them.

Ying Gu and Yan Bo 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 after a while, they understood the beauty of this counting method. 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 taken aback when he saw the notebook taken by Yanbo Yusuo, but it was inconvenient to stop it. I thought about it for a while, but I was looking forward to it. 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, and there were many changes in orientation, and he had already realized that this was a set of martial arts. Immediately knew that he was abrupt. He was about to get up to apologize, but when he saw Fang Zhixing's expression, he understood. Blamed: "Why don't you say it, aren't you hurting my brother like this? What else can I do?" Although he was unintentional, if it was passed on, he might also be labelled as a coveted martial artist for others. Although Yanbo Diaosu doesn't care much about what others say, he doesn't want to commit taboos.

Fang Zhixing heard Yanbo Diaosuo blame, hurriedly apologized, and said: "I got this set of martial arts by accident, and I want to find someone to help me understand it." There's nothing secrecy to keep it unlikely. I hope my brother won't blame!" He didn't say it, it was indeed a little abrupt. If it really spreads, 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 sect, body length, blade size, and the level of sunlight. The calculations are extremely complex. But once it was calculated, the sword was struck, but it was all hit. Fang Zhixing heard Aunt Ying ask. explained. How did this Dai Sect come from in his previous life, the Taishan Sect in this life was only newly established, and it was still extremely weak, and he did not create this kung fu, even if he passed it on to others, there was no hindrance.

Ying Gu and Yanbo Diaosu were both surprised when they heard this, if there was really such a sword technique in the world, wouldn't it mean that they could be invincible in the world? But the two of them knew the complexity of arithmetic calculations. But she didn't believe it, and Ying Gu said, "How can anyone in the world calculate so many things at once? I guess I'm dying first, right? I think it's even Huang Rong's little girl, and it's hard to learn this. This sword technique is really flashy!" Fang Zhixing said so many aspects, a single item 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, and she admired it in her heart, but she didn't think that Huang Rong could learn it. And although Huang Yaoshi of Peach Blossom Island may have calculated it, but with his martial arts, he doesn't need this kind of martial arts, because she said that this martial arts is flashy.

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, so he put forward another explanation, and said to Fang Zhixing: "Could it be that this martial arts is divination kung fu, if this is the case, it is possible to calculate it." "An important role of Qimen Dunjia's science is fortune-telling, divination, if you are proficient in this way, it is not impossible to calculate it in an instant, Yanbo Diaosu guessed according to this.

"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 recipe of this martial arts, and I felt that if I could simplify it again, I would not be able to solve this kung fu with arithmetic, so I followed the deduction. 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, and mental arithmetic is extremely fast, you may not be able to use this set of kung fu, so that this kung fu can be better inherited.

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 doesn't keep it a secret, after all, one person is poor in the end, and with the help of these two people, he can't be inspired. 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 it, he also couldn't understand some of it. He didn't ask the two of them, but just watched carefully from the sidelines to see their solutions. 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. And Yinggu is more profound in arithmetic, and she continues to deduce according to her own methods.

Fang Zhixing saw that Yanbo Diaosuo was only 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 fang that he did not expect, and he was also inspired in his heart, and deduced it along the way. He is indeed not as proficient in the orientation change in Qimen Dunjia as Yanbo Diaosuo, otherwise he would not have been able to deduce a five-element step over the years, that is, the original Beidou footwork, if it were not for the foundation left by Wang Chongyang, and the help of Quanzhen Liuzi, he would also be difficult to deduce, and now when he saw the calculation process of Yanbo Diaosuo, he immediately followed the deduction. (To be continued)