The meaning of Han Xin’s command of troops
Han Xin’s command of troops, the more the better
There was a general in the Han Dynasty of our country named Han Xin. Every time he gathered his troops, he only asked his subordinates to He counts 1 to 3, 1 to 5, and 1 to 7 successively, and then reports the remainder of each team's count, so he knows how many people have arrived. His clever algorithm is called Guigu calculation. It is also called partition calculation, or Han Xin’s command, and foreigners also call it the “Chinese remainder theorem.” In the Ming Dynasty, mathematician Cheng Dawei summarized this algorithm in poetry
Han Xin’s command
Han Xin’s command of troops is also known as the Chinese Surplus Theorem. According to legend, Liu Bang, the emperor of the Han Dynasty, asked the general Han Xin how many soldiers he commanded. Han Xin replied that for every 3 people in a row, there would be 1 left, for every 5 people in a row, 2, and 7 There are 4 people in each line, 6 people in each line of 13 people. Liu Bang is confused and does not know the number.
Let us first consider the following questions: Assume that the soldiers are less than 10,000, and there are 5 people in each line, 9 people in each line, and 13 people in each line. If there are 3 people left in each row and 17 people in each row, how many soldiers are there?
First we find the least common multiple of 5, 9, 13, and 17, 9945, and then add 3 to get 9948.
An ancient Chinese mathematics book, "Sun Tzu's Suan Jing", has a similar problem: "There are things today, but I don't know their number. Count them by threes and threes, and there will be two left. Count them by fives and fives, and there will be three left. Count them by sevens and sevens. 2. Ask about the geometry of things?"
The answer is: "Twenty-three"
The technique says: "The remaining two from the number of three and three are placed at one hundred and forty, and the number of five and five is If there are three left, set it to sixty-three. If there are two left of the seventy-seven number, set it to thirty, and combine them to get two hundred and thirty-three. Subtract it from two hundred and ten, and you will get it. If there is one left of the three-three number, set it Seventy, if there is one left in the number of five-five, then put twenty-one, and if there is one left in the number of seven-seven, then put fifteen, that’s it.”
The author of Sun Tzu’s Suan Jing and the exact date of his writings are evenly matched. It cannot be tested, but according to research, the age of the writing will not be after the Jin Dynasty. According to this research, the Chinese discovered the solution to the above problem earlier than the West, so the promotion of this problem and its solution are called Chinese Remainder theorem. The Chinese remainder theorem occupies a very important position in modern abstract algebra.
What does Han Xin's command of troops mean?
There is an old saying "Han Xin commands troops, the more the better", which is Han Xin's A confident view of one's ability to lead troops. Han Xin believed that his specialty was marching troops and fighting, so the more troops he led, the better. However, Liu Bang did the opposite. Liu Bang was good at managing soldiers but not good at leading troops, so the number of troops he could lead was limited. In ancient times, it was used as a metaphor that people have their own strengths. It is often used in modern times to describe focusing on quantity.
What is the meaning of Han Xin's idiom when ordering troops?
The idiom "Han Xin orders troops, the more the better" means that Han Xin directs troops and horses, the more the better.
Story source:
The idiom of Han Xin ordering soldiers comes from Huai'an folklore.
Liu Bang asked him: "How many troops do you think I can lead?"
Han Xin: "At most one hundred thousand."
Liu Bang asked in confusion: " What about you?"
Han Xin said proudly: "The more the better, the more the better!
Liu Bang said half-jokingly and half-seriously: "Then I can't beat you?"
Han Xin said: "No, the lord is the one who controls the generals, not the soldiers. The soldiers are specialized in training soldiers." "
Han Xin, Han nationality, native of Huaiyin, the founding hero of the Western Han Dynasty, an outstanding military strategist in Chinese history, one of the three heroes of the early Han Dynasty along with Xiao He and Zhang Liang, and one of the three great names of the early Han Dynasty along with Peng Yue and Yingbu General.
What is the sentence after Han Xin ordered the troops?
The next sentence is "The more the better"
The literal meaning of this sentence is: Han Xin leads the troops to fight, the soldiers. The more, the better. Later, the extended meaning is, the more, the better, and there are also "more, the better".
Han Xin, a Han nationality, a native of Huaiyin, the founding hero of the Western Han Dynasty, and an outstanding military strategist in Chinese history. , together with Xiao He and Zhang Liang, were listed as the three heroes of the early Han Dynasty, and together with Peng Yue and Yingbu, they were known as the three famous generals of the early Han Dynasty.
In the Chu-Han War, Han Xin exerted his outstanding military talents. Wei Guo defeated Dai and Zhao in a last-ditch battle. After that, he went north and surrendered to Yan State. In the fourth year of the Han Dynasty, Han Xin was worshiped as the prime minister. He led his troops to attack Linzi, wiped out the dragons in Weishui, and led Qi reinforcements. Therefore, Liu Bang made Han Xin the king of Qi. In October of the following year, he ordered Han Xin to join forces in Gaixia to encircle and annihilate the Chu army, forcing Xiang Yu to commit suicide.
After the establishment of the Han Dynasty, he removed his military power and moved. He was the king of Chu. He was accused of treason and demoted to the title of Marquis of Huaiyin. Later, Empress Lu conspired with Xiangguo Xiao He to trick him into the Changle Palace and kill him in the Zhongshi.
"Han Xindian. The allusion of "soldiers": In the last years of the Qin Dynasty, Chu and Han were fighting. Once, Han Xin sent 1,500 soldiers to fight against the Chu king's general Li Feng. After a hard battle, the Chu army was defeated and retreated to the camp. The Han army also suffered four to five hundred casualties. , so Han Xin reorganized his troops and returned to the base camp. When he reached a hillside, he suddenly heard that the Chu cavalry was chasing him. He saw dust flying in the distance and the sound of killing was loud. The troops were in an uproar. When Han Xin reached the top of the slope, he saw that the enemy had less than 500 horses, so he quickly ordered his soldiers to form a line of 3, but there were 2 more soldiers; then he ordered 5 soldiers to form a line, but there were more soldiers. Three more soldiers came out; he ordered the soldiers to form a row of seven, and two more soldiers came out.
Han Xin immediately announced to the soldiers: Our army has 1,073 warriors, and the enemy is less than 500. We are condescending and can defeat the enemy with numbers and numbers. The Han army was already convinced of their commander-in-chief, and now they believed that Han Xin was a "god descended from the earth" and a "wonderful plan". So morale was boosted. For a time, the flags were waving and the drums were beating loudly. The Han army was advancing step by step, and the Chu army was in chaos. Not long after the battle, the Chu army was defeated and fled.