Chapter 5 Fangs Section 66 Zhang Heng's doubts

After sending away a few people from the carpentry workshop, Liu Yao ran to the bedroom and took out the scroll, rummaged for a while, and copied a few IQ test questions and handed them to Zhang Daosong to do. The young man got www.biquge.info the question and asked a few questions, all about concepts he didn't understand, such as cubes or natural numbers. After asking a few things that he didn't understand about the nomination, the young man lowered his head and started to do it. Liu Yi saw that Zhang Daosong was doing fast, and hurriedly returned to the bedroom, the scroll was still spread out on the bed, Liu Yi copied a few more questions along the place where he had just copied the question, and as soon as he came out, he saw that Liu Man was already chatting with the child. Zhang Daosong took over the newly copied questions and did them quickly. Liu Yi only then had time to answer all the questions correctly, and he did all of them right.

Liu Yao suppressed the excitement in his heart, sat down next to Zhang Daosong and asked, "Daosong, what did your ancestors do?" Liu Man hurriedly said: "Their family has been farming for generations. I remember that my grandfather said that my ancestors came from the mainland many years ago, and later when I was fighting, I robbed a Li woman to be my wife, and settled down in Zhanzhou. Zhang Daosong nodded with a smile next to him and said, "That's the case." Many of our ancestors are Li people. ”。 Liu Yao smiled and said to Liu Man, "I didn't ask you again." Dosong, then how did you leave home? ”

"Fifty acres of paddy fields." Zhang Daosong said calmly: "Some people in the county have taken a fancy to the paddy fields cultivated by my family, saying that we have forcibly occupied the land of the Li people and are going to confiscate it. He also said that if he wanted to get back the 50 acres of land, he would have to serve as a conscription and send 100 catties of grain to Nanjing. Liu Man heard this and said, "A hundred catties of grain is not much." Zhang Daosong glanced at Liu Man, did not answer her, and then said: "Our family went to theorize with the county official, but my father and mother were killed on the spot. In the yamen, it was said that our family's registration in the county was considered familiar, and no one asked if they were killed. I was young and no one paid attention to me, so I ran out. ”

"Do you have any other siblings?" Liu Yao asked movingly.

"Nope. My grandfather has a son from my father, and my father has some distant brothers, all of whom live in Han people. I don't move around very much. My father is only one of my sons, and I have no sisters. ”

People in this world are accustomed to seeing life and death, Zhang Daosong talked about the blood feud in his family, and there was not much excitement in the dark, but the father and daughter were speechless for a long time, and after a long time, Liu Yi said with emotion: "Oh, fortunately, you, the only seedling, ran out." ”

Liu Man also came back to his senses and asked: "Then your family has cultivated fifty acres of paddy fields in the place where the Li people live. ”

"My family lives in the village where my cousin lives just across the river. The village is full of Han Chinese. If you raise this table, you can use it as a bridge over the river. ”

"Dao Song, with my understanding of Da Ming Law and our Qiongzhou, your home may be in Li District. That small river, most likely, is the boundary. Liu Yao said softly: "Li District is not considered the territory of the Ming Dynasty, and the acres of land of the Li people cannot be plundered. The Li people did not accept forced labor, but only paid tribute, rice and local products such as deerskin, rattan, etc. Only the Han were required to serve as conscripts. ”

"But we are Han." Zhang Daosong's voice became louder.

"If it's a Han Chinese, you can't be killed on the spot in the county yamen. Of course, even the Li people can't be killed. Anyone should have been tried before he could be put to death. Liu Yao's voice became more and more low.

"Sir, this can't be like this or that, who stipulated it?" Zhang Daosong asked eagerly.

Liu Yao pondered for a moment and replied, "A group of people will have a rule. In the Li district, there is a chieftain. The leader can decide anything in Tongli, but all the Li people do not have a unified leader, and the leaders consult each other on matters. Zhang Daosong nodded. Liu Yao pointed to the catalog of Da Ming Law on the bookshelf, asked Liu Man to take it, and then said: "Here in the Han people, there is no real leader in a state or a county. The county order and the prefect both implemented the laws of the Ming Dynasty. We Han people, in fact, are all the people who think that we are Ming people, including Han people and other people, such as the Shu Li you just mentioned, all listen to the Ming Emperor. The emperor found someone to make the law, and then he found someone to act according to the law, and the whole country obeyed this law. ”

Liu Yao took the thick book of Da Ming Law brought by his daughter, gently put it on the table, and pressed it and said, "This is the law that stipulates what people in the Ming Kingdom can do and what they can't do." This thick book is just a table of contents, and there are dozens of texts. I borrowed this directory from the county. ”

"Sir, I want to study the law." Zhang Daosong said firmly.

Liu Yao hesitated for a moment and said, "Dao Song, I actually think you are more suitable for studying mathematics. The law is important, but it doesn't help us. It's like your family going to the county to theorize, no one will show you the law, and no one will help you find the terms in the law that are beneficial to you. In other words, it's not much use if you learn the law at the moment, but math can help us now. ”

"What is Mathematics? Is that the number that Wang Daixi and they have been making all day long? ”

"That's part of the math. There are also things that are more complex and more useful. Let's say you can solve this problem: come up with an algorithm that can calculate the continuous addition of a number of numbers, such as from 1 to 100, or from 275 to 387. Liu Yao gave a topic that made Gauss shine in the mathematical world. Zhang Daosong pressed the Da Ming law with one hand, and swiped in the air with the other, falling into deep thought.

Liu Yao took the time to say to his daughter, "Do you remember how much time it took us to walk from here to Shilu Port? Liu Man nodded: "It's half a day, and we have a hard time." ”

"That's just about 35 kilometres. If you're going to cross thousands of kilometers along the same road, and there aren't enough restaurants and hotels along the way, you'll have to settle for your own food and lodging a lot of the time. ”。

"Isn't that going to take more than a month? I had to bring a lot of silver to buy food. I can't pull another hundred pounds to eat on the road. Liu Man realized what a terrible task it was to send a hundred catties of grain to Nanjing in that time and space.

Zhang Daosong was not affected by the conversation, he took a pen and paper and calculated, and glanced up at Da Ming Law from time to time. Liu Yao took his daughter out of the conference room to see what to eat at noon. Yao Ying had already gone to the hospital, and the housekeeper was inventing mathematical formulas, so she had to cook her own food.

As soon as the fire was lit, Zhang Daosong walked into the kitchen and said, "Sir, I'll light the fire." "That would have been his mission. Liu Yao raised his head and said, "Don't be busy, go and do a good job of solving the problem first." Zhang Daosong took the tongs and said, "I'm done." It is the result of the first number plus the mantissa number, multiply by the number of numbers in this string, and subtract half. ”

Liu Man exclaimed. Liu Yao was also overjoyed and patted Zhang Daosong's shoulder: "Daosong, you are indeed talented in mathematics. ”

Zhang Daosong burned the fire very vigorously in a few clicks, raised his head and asked, "This doesn't seem to be of much use." There is no place where such a continuous addition is usually used. Even if there is, take an abacus and add a few times, it will be very fast. After thinking for a moment, he then said, "This solution is indeed very fast, much faster than an abacus." But the topic itself is useless. ”

Liu Yao nodded and said, "This topic is really useless. But mathematics is a very complex system, and once you learn it, it can be useful in many places. For example, we are going to build cannons in the future......"

"When?" Liu Man and Zhang Daosong asked at the same time. Liu Yao smiled and said, "I don't know yet." But after the New Year, we have to plan for it. After the cannon is built, it is necessary to calculate how far the target is, and how high the muzzle of the cannon must be raised to hit. ”

Zhang Daosong thought for a while, stood up and said, "Sir, after you build the cannon, will you enforce a set of laws in Freedom Mountain?" Liu Yao smiled and asked rhetorically, "What does this cannon have to do with the law?" ”

"If I have a team of cannons to follow and understand the laws of the Ming Dynasty, I can reason with people in the county yamen." Zhang Daosong said very clearly.

"If you have a convoy of cannons with you, do you still have to tell people the law? Just let the county order do what you said. Or, you can simply go to the prefectural order. Liu Yao assumed it seriously.

"Sir, then I will be too busy, and I will have to watch all day if others are doing things that are not good for me. I want everyone to act according to the law, so that I can go home with a team of cannons and do what I want. ”

"For example, what are the things?" Liu Yao asked with interest.

"Farming, and ...... That math. When I came up with a way to solve the problem, I was very happy. If you can count the cannon fighting, you should be able to do something else, so you can do a lot of things. Zhang Daosong said fascinatedly.

"Yes, there are so many things that can be done. How to build bridges and houses, how much gunpowder to put in bullets, and later, even the weather. You can calculate whether it will rain or the sun tomorrow, when the typhoon will come, and how big it will be. But to this day, it takes a lot of knowledge, a whole set of people and equipment, and I don't know if you and I will be able to see it in our lifetime. ”

Zhang Daosong believed all this without hesitation, and asked with sparkling eyes, "Sir, can our children see it?"

"Yes. I'm sure. ”

"Sir, I'm here to learn math." Zhang Daosong said firmly, glanced back at Da Ming Law, and said, "You also have to learn the law." It's also useful. ”

Liu Man dragged his father to the side and said, "Dad, let's show him the math part of the scroll." In the past, we used to copy it ourselves and then let people copy it, which I don't think made much sense. Liu Yao pondered for a moment and said, "Not only the mathematics part, but also other parts are also made public. I didn't make it public before, because I was afraid that others would think we were different. I'm not afraid of this now. Okay, let's get the scrolls out and get your kids in the second row to copy them at full speed! ”

Zhang Heng walked with his head down, and he always regretted that he couldn't call Zhang Daosong out of Liu Yao's house and ask a few more questions. When he was in Liu's house just now, he hurried to learn that this young man just happened to be on duty today. "How can this boy sit at the conference table and draw pictures?" Zhang Heng was very envious of this opportunity, but he couldn't also do chores. It's not that I haven't tried to create opportunities, and often making small toys and sending them to Liu Yi's house is a method, but every time I simply chat about things in the workshop, I don't have words.

"This time, the little guy happened to be studying bullets. Good luck. The next time I go to his house, I have to study something with his surname Liu...... So when and what is he studying? Zhang Heng pondered.

"What do you want? Thinking about the three hundred taels of silver? Qian Er saw that Zhang Heng had been looking down and pondering, and patted him on the shoulder and quipped.

"I'm wondering, why did this Daosong have the opportunity to get these three hundred taels of silver." Zhang Heng said part of the thing he was pondering. He knew that the safest way to lie was to tell a part of the truth, and that it was very efficient.

"We have been working with Mr. for a long time, we all know that Mr. is very clear about the general direction, but he also has many small aspects that are not clear, and there are many problems that need to be solved. This time, that kid just happened to meet you. But this kid is good, and he can immediately think of a more convenient way to operate......" Qian Er was immersed in his own thoughts, and he didn't notice that Zhang Heng was completely uninvolved in his speech.

Zhang Heng was pondering: "When will I meet Liu Yi to solve the problem?" Let's also pay attention to finding opportunities, isn't giving toys to his son just looking for opportunities to get in touch with more? But I didn't sit down casually about the workshop......"

Qian Er was still chattering: "You said this bullet, it's just what happened, why did he encounter it?" He's good, one person gets three hundred taels! ”

Zhang Heng replied casually: "No, he usually doesn't come to think of a way to solve so many problems, and he will come to this valuable problem." ”

Qian Er suddenly stopped: "Ordinary problems are also valuable, but we haven't come up with a way to solve them, it's all Mr. who said a direction, and we just went to do it." ”

Zhang Heng looked at his partner with his mouth open, speechless. Yes, I usually feel that I have no way to think about it, I am just waiting for Mr. to say a way, and I just want to figure out how to do it. If you think of a way to do it yourself, you can say it when you give away the toys...... "It's okay to say it specifically!" Zhang Heng couldn't help but speak.

"What do you say?" Qian Er turned his head to look at Zhang Heng strangely.

"Specialized...... Specifically to talk about the results of our experiments, that, there is no need to wait for Mr. to ask. Zhang Heng stammered and finished speaking. Qian Er didn't notice anything unusual, and said loudly: "Of course. You have to worry about this matter, the record must be done well, and the result will be reported to the gentleman. ”

Back at his home, Zhang Heng had no appetite for dinner, so he sat at the door and pondered. Mr. Liu doesn't have to worry about being reprimanded, and he doesn't feel incompetent or stupid. Mr. always consults with people about what's going on, and lets everyone figure out a way together. This is completely different from that in the yamen. Wang Xianling always sets his own things and always reprimands people. Thinking of the Yamen, he thought of the situation of sitting half of his ass in the Yamen, which was not the case in Liu's house. Zhang Heng touched the chair under his buttocks and said, "At least you can sit down." Zhang Heng quickly made a decision: "Tomorrow, I will go to the county to find Wang Xianling and report about this gun." I want to see what is the reason why a person who has no official authority at all, a person who is completely incomparable to Wang Xianling, can do so many things. ”