197 Operational research and final accounts
The waters of Ji Kingdom are only Giant Horse Water, which do not freeze all seasons and flow eastward. The remaining waters are all melting in winter and spring. The Daliao Water is no exception. At this time, it has been more than a foot of ice. It is close to the grasslands in the northern border, and the Daliao Lake inside the Great Wall. It has been three feet of ice.
Fortunately, before the Liao water was frozen, the various departments and temples were connected and exerted the whole country's strength. Thousands of ships came to transport materials every day. After arranging a river channel, the large stone gabion sank first. The Liao marsh overflowed three hundred miles. The water flowed gently, and the huge rocks in the cage would sink when they entered the water and sink deep into the mud. As the gabion continued to accumulate, the river embankments on both sides quickly piled up. When the water surface was out of the water, they would use pebbles to pile densely. The water marsh was locked in a river channel a hundred feet wide. The water flow became more and more rapid and the water surface continued to rise. The silt that had accumulated at the bottom was washed by the torrent, revealing the original riverbed.
The mud and sand washed down and filled the cracks of the huge rock river embankment with the rapids. Over time, it became a piece of iron plate. The Ji people controlled water, like a polder field. They first cut the veins and locked the main water. Then they opened the fish beam gate and released the branches and body. They went down in such a level. For example, the veins built inside, middle and outside, and three vertical and horizontal ditches were built. This is the so-called "four branches and channels".
"If you want to do a good job, you must first sharpen your tools."
Transporting gabions and machine ship cranes, and making great contributions. Gravel is also a specialty of Ji Country. For many years, in order to build Xuanlou Baiyuan, the giant horse water on both sides of the river, accumulated stones like mountains. After all, they were all left after seizing Baishi. Over time, they were spectacular. It was only because they were built from the four hundred cities and ports of Ji Country that there was no major construction in the country. Daily needs were just a drop in the bucket.
The development of the eastern border, especially water control. For stone merchants, it can be said that a long drought is caused by sweet rain. Most of the stones will be accumulated over the years.
The rivers, seas, lakes, mountains, forests, gardens and ponds are all owned by the king. They are under the jurisdiction of Shaofu. Quarrying requires fake taxes. Similarly, the construction of the East is also funded by the state treasury and purchased in a sufficient quantity.
The Ji State has light taxes and low taxes, and the fake tax is almost the same as the thirty taxes (5%).
"Nine Chapters of Arithmetic·Every Loss" Title 24: "Now there is a fake land. If you have a fake land for the first time, you will have three mu of a qian for the year, four mu of a qian for the next year, and five mu of a qian for the year. For three years, you will get one hundred yuan. How much does the field mean?"
The Lion said: One hectares of twenty-seven mu, forty-seven mu is thirty-one of the mu.
All of the above can be illustrated. Even if the calculation is complicated, people at that time will not give in. Later generations, ordinary people's mathematical reserves had no advantage over people at that time.
Nowadays, craftsmen often use "calculating chips" to calculate complex formulas, called "calculating" and also called "calculating". "Book of Han: The Biography of Merchants and Families": "That is, the casting of iron mountains drums, and the operation of calculations." This is a method of calculations, recording numbers and calculations engraved with numbers. It began around the Spring and Autumn Period and was not completely replaced by abacus in the Ming Dynasty.
The so-called calculation chip is a short stick of the same length, thickness, length, length, thickness, length, and thickness, only a few millet (one millet is divided into pieces). It is mostly made of bamboo, wood, animal bones, ivory, gold and jade. About 270 pieces are in a bunch, tied with the bag around the waist.
Calculating and notation method: use vertical form for single digits, horizontal form for ten digits, vertical form for hundreds, horizontal form for thousands, horizontal form for ten thousand, vertical form for ten thousand, and so on, and so on, it will be empty when it encounters zero. In this way, from the right to the left, vertical and horizontal, you can show any natural number.
Liu Bei saw it with his own eyes, and was shocked. This is the "decimal system".
Its superiority is obvious. In horizontal comparison, the Roman numeral system does not have a bit value system, and only seven basic symbols. If the number is slightly larger, it is quite difficult. Although the Mayans understood the bit value system, it was twenty-decimal; the ancient Babylonians also knew the bit value system, but it was as many as sixty-decimal. Generally speaking, the twenty-decimal ones required at least nineteen numbers, and the sixty-decimal ones required fifty-nine numbers.
In this way, the calculations are very complicated. It is far less than that, using only nine numbers to show the decimal system of any natural number, which is simple and convenient. The reason why ancient Chinese mathematics achieved outstanding achievements far exceeds the times is due to the decimal system preparation method.
After reading "Nine Chapters of Arithmetic", many examples are mostly from buying, selling and trading. In other words, merchants must be proficient in calculations. Therefore, the advanced Chinese algorithms were passed through the Silk Road to later Western Asia. Through the decimal system, Arabic numerals evolved, which led to modern mathematics.
Just as the destruction of God without ghosts and surgical surgery support each other. The algorithm and case comparison are also complementary. The complex calculations used in statistics are all due to the decimal system planning algorithm.
Know the plan, and think about "planning in the middle and winning thousands of miles away."
The plan of the master is not to make it big. It is to compare the "sophisticated calculation" at the mathematical level.
It means that "practice makes perfect". Many masters of mathematics can even abandon the calculation and make the actual objects, and "mental calculation" can be solved.
When I was young, I had a great test of the ancestral hall. A bowl of clear water was dipped in my fingers, and the boys wrote on the table. At this time, they should suddenly understand and suddenly realized (Note ①).
What happened in the later generations? King Ji has never visited him in person. However, as far as the present is concerned, mathematics is usually normal. Don’t be alone in front of you, it’s embarrassing to see you.
"I reported to the lord, the magistrates and officials of all counties in the east, all of them lived on public ships. Now the Bohai Sea is frozen and the water is frozen. When traveling, you need to drive a sled cart. The east is vast and sparsely populated, and snow is over the knees, or even a sled cart. It is not easy to travel with a cart. Now there is a 'huyu country, you offer a 'huyu dog', as strong as a calf, and you can ride a horse." The right minister said, "However, the public cart is heavy and the dog is not strong enough. Can you please build a temple and make another sled cart?"
"The Literature of Zhou·Qiuguan·Dogman" "Whoever is a dog who leads a dog," the commentary says: "There are three types of dogs: one is a field dog, the other is a barking dog, and the third is a dog. If the field dog is a barking dog, you should observe its good or bad; if you eat a dog, you should observe its fat and thinness." Therefore, what is the use of raising a dog? You should think first and then act.
Everyone in the country knows that the right prime minister is humorous. When the cart comes out on a dog sled, all officials laugh.
King Ji also said: "It's okay." Customized lightweight car body, for Ji Kingdom, is just a matter of raising hands. Qing steel glazed, replaced hard wood-clad iron, leaf spring shock absorption, and changed to machine spring shock absorption. Lingnan brown mats are replaced by a soft leather folding carport, lined with steel wire mesh curtains, and reduced the machine passenger equipment in moderation, all kinds of which are all in one place. It not only reduces weight in moderation, but also does not lose protection.
Later, I took a dog sled car and became popular in the east. There was also a winter dog sled car competition, which was popular in the north and attracted the attention of the Chinese people.
If you ride a dog sled alone, you will know that the governance of Ji State is complete in every detail.
"A masturbation dog is better than a wolf." King Ji reminded again: "You must prevent ripping and biting."
"Now." The next time, the commander Su Bo, the method of controlling fierce beasts is like a dog in the Zhou officials, and there are also tigers and leopards in the Xianglin Garden. There must be a method for building a temple.
The right prime minister first stated this memorial to activate the atmosphere in the hall. All officials relaxed their minds and minds. It can be said that they had a way of opening up and relaxing. Later, they would follow the things in the East and the Tao in turn.
King Ji may be arbitrary in the universe or brainstorm.
Approvals one by one.
Chapter completed!