Chapter 211

Yilun Hall, built in the form of a single eaves hanging from the top of the mountain, is seven rooms wide and has a throne in the middle for the emperor to sit on. However, Zhu Yijun did not ask people to sit on the throne, but instead held a volume of books and placed a large blackboard next to it. With a few pieces of chalk, he stood on the stage and looked at the crowd.

This is a very special class, a class where the emperor is standing and the supervisors are sitting. This is a violation of etiquette, the emperor is standing, but the students are sitting, but the Minister of Rites did not raise any questions, because it was requested by His Majesty .

Students have to take notes and take quizzes in class, and there is no way to do it standing up.

After the students, more than a dozen courtiers sat and participated in the audition.

Zhu Yijun looked at the students in the audience, and he knew clearly that the people below were basically the next year's Jinshi. In order not to let the emperor's lectures make the monarch and his ministers lose friendship, these are all the elites of the elite.

Zhu Yijun, who has participated in many court meetings and court meetings, has no stage fright in the face of the dark heads in the audience, but he is not tall, after all, he is still young.

It doesn't matter if you are not tall, Fan Yingqi, a disciple of Jin Dang and Ge Shouli, has already raised the podium a lot.

"Guo Shoujing." Zhu Yijun wrote a few large characters on the blackboard, and then said: "Guo Shoujing and Zhu Shijie are the last glory of Chinese mathematics. Many students are wondering, why should we learn mathematics?"

"Mathematics is a book of myriad principles, which is the method to understand the origin. Mathematics is the general knowledge of the three talents and all things. Mathematics is the language of infinite things. It is the only way to make all things speak."

"However, the development of this knowledge stagnated after the end of the Tang Dynasty, and the Song and Yuan Dynasties were its last glorious moment."

"Zhu Shijie's "Enlightenment of Mathematical Sciences" and "Siyuan Yujian" were picked up by the emperor until recently, and they were fully explained."

"We are catching up with the glory of our ancestors' mathematics."

There is no need to elaborate on the significance of bypassing degrees. It permeates Daming’s production and life in all aspects. Even the courtiers admonished them and stopped talking about the magic trick. Most of them said it was too difficult. Please give the emperor some time to let everyone get used to arithmetic that has not been learned for more than 200 years.

It is an undoubted fact that Ming Dynasty was backward in mathematics. Due to the influence of various winds and public opinions, the scholars of Ming Dynasty, or the group of Confucian students, did not pay much attention to mathematics. An equation with unknown numbers, not to mention Quaternary Art, even Tianyuan Art, an equation with unknown numbers, is a difficult thing for Daming to understand.

"Let's first look at this triangle. This is Yang Hui's and Jia Xian's triangle. It comes from "Detailed Explanation of Nine Chapters of Arithmetic". It was proposed by Yang Hui 300 years ago. In the Northern Song Dynasty about 520 years ago, Jia Xian had already used this triangle. It is a typical triangle. Combining numbers."

"We can easily see that the two sides of this triangle are all 1, and in the triangle, each number is equal to the sum of the two numbers above it."

"How to use this Yang Hui's triangle? In the expansion of (a+b)^n, each coefficient corresponds to each item in the (n+1)th row of Yang Hui's triangle."

Zhu Yijun unfolded a (a+b+c+d)^2, and demonstrated the specific application of this Yanghui triangle. He regarded a+b and c+d as a whole, and then unfolded it. This is called in the Quaternary Illustration "Four-Yuan Self-Ride Performance Diagram".

He spoke quickly, at a moderate speed, and quickly explained several sample questions in the Siyuan Yujian very clearly and thoroughly.

After Zhu Yijun talked for nearly half an hour, he found that the sample questions were not difficult, so he suddenly said, "Here are some sample questions."

"Recruit soldiers according to the cube. The first recruit is three feet, and the second recruit is one more foot. The number of soldiers is counted as soldiers. Today's recruiting is 15 days, and each person pays 250 cash per day. How much is the recruiting and payment?"

Standing one person per foot, recruiting troops in cubes, that is, 3×3×3=27 people on the first day, one more person on each side on the second day, 4×4×4=64 people, and 5^3=125 people on the third day people, and so on.

Zhu Yijun asked the students to calculate, and the students figured out the abacus and began to crackle the calculations. They were all integers, which is nothing rare. The total number of recruits was 3^3+4^3+5^3+...+15^3, the final result There are 23400 people, and the total number of copper coins is 23462000, which is 23462 guan.

It took a quarter of an hour for ninety students to give their answers one after another, while Zhu Yijun said with a smile: "The calculation is too slow, now I will interpolate four times to solve it."

"The upper difference is 27, the second difference is 37, the third difference is 24, and the fourth difference is 6. We only need to bring in such a formula, and we can get the result very quickly."

After all, Zhu Yijun still talked about the practical application of the four-time interpolation method. He tried his best to explain clearly, explaining the concept of four differences clearly, and explaining how to sum them simply.

After he finished speaking, he noticed the confusion on the faces of the ninety students, and then he gave several sample questions in a row. These students began to stumble and use it. When the class was over, the four-time interpolation method was finally completely given by the students. Mastered.

Zhu Yijun showed a sincere smile, and he said with a smile: "Today's class has been overdue for more than half an hour, but I saw that most of the students have already learned this method. I am very pleased. The difference method is too difficult, I am afraid that students will not be able to learn it, but looking at it today, it is not the case."

"After class, students can use this interpolation method more often. It's actually not difficult. If you don't know it, don't be shy. You can ask each other for advice."

"I'm here, if you have any questions, you can ask them."

"Your Majesty, the student has a question." Zhang Siwen was overjoyed when he heard that he could ask a question, and raised his hand as a signal.

"Tell me." Zhu Yijun nodded, indicating that Zhang Siwen could ask questions.

"Your Majesty, the students are studying "Chinese and Western Algorithms" in the bypass hall. From the perspective of today's arithmetic methods, they are all Western and Western algorithms. Does this mean that mathematics should be fully westernized?" Zhang Siwen's question was not incisive, and he asked the core question right away. , the distinction between Hua and Yi.

Zhang Juzheng, who was listening to this question, immediately turned dark. This question has actually been in the minds of the officials for a long time. The mathematics of Ming Dynasty has a lot of references to Western mathematics. Symbols, algebra, etc., seem to be fully Westernized.

Zhu Yijun said with a smile: "It is great to be tolerant of all rivers and rivers. The Central Plains dynasty has been open and inclusive in all dynasties, allowing the best of a hundred schools of thought to use it for their own use. Taking Buddhism as an example, we know from the southeast sea merchants and Hong Maofan that India has been ruled by the Mughals. Replaced by the empire, the Buddhist kingdom has been destroyed, the orthodoxy has been lost, but the Buddhism of the Ming Dynasty is still prosperous, and I even built a pagoda."

"It's like the weaver is better at weaving. If you ask the weaver to fish for wool, the weaver can't get it. And the dyer who is good at dyeing is not good at mining coal, isn't he? The reason for the division of labor is that each has his own strengths. The same is true in the world, there are all living beings in the universe, each with their own strengths."

"Master also said: Three people walk together, there must be my teacher."

"Back to mathematics, borrowing from Western mathematics is not fully Westernized. For example, the original text of "Taixi Algorithm" is indeed Western, but it has been translated by Minister Li for a long time, and then obtained by Emperor Shu and Zhen Fu. This kind of arithmetic that is suitable for Daming at present is not entirely the Taixi algorithm, but the emperor's algorithm."

"As for those symbols and algebraic expressions, they are just for the convenience of writing."

"Addition, subtraction, multiplication, and division of A, B, C, and D are more troublesome than writing abcd+-×÷. It is for the convenience of calculation, and arithmetic is already very complicated."

"Actually, it's not entirely Taixi's algorithm. The sextant was invented by King Ulugh Beg of the Timurid Kingdom. The source of Taixi's algorithm is Khorezmo's "Algebra", and Khorezmi also communicated with Datang. , the Arabic numerals we use were also invented by the Indians and spread by the Arabs.”

"During the Song Dynasty, Arabic numerals were already widely popular."

Zhu Yijun answered this question from several aspects.

The first aspect is that the Central Plains Dynasty has not been a self-styled culture since ancient times. Even in the Ming Dynasty, there were seven voyages to the West. In active external communication.

In the Datong calendar of the Ming Dynasty, Emperor Taizu Gao once said: The Western Regions speculate that the astronomical phenomenon is the most accurate, and its five-star latitude is not found in China.He ordered Hanlin Li Chong, Wu Bozong and Hui master Ma Sha Yihei to translate his books. The compilation of the Datong calendar is a model of accepting the elders of a hundred schools of thought.

The second aspect is from the aspect of division of labor. It is not a shame to recognize the excellence and leadership of others. In terms of summarization, Taixi's algorithm also has advantages, just like the division of labor. Since it is ahead, it can be used. Anyway, it has to be translated and Sinicized. What I learned is indeed called Taixi Algorithm, but it is not impossible to change the name to "Zheng Wang Algorithm". Is it easier to accept the name change?

From the translation of the Taixi algorithm by the Ministry of Rites to the editing by the emperor's uncle Zhu Zaiyu, it has long been not completely the Taixi algorithm.

The third aspect is the actual meaning of mathematical symbolization and algebraicization. For the sake of simplicity, write as few strokes as possible. The workload of calculation is really too large. For example, the triangulation distance measurement that I am doing recently According to the method, the 10-point sine table has nine digits after the decimal point. If this is written, it is really troublesome.

"Students understand." Zhang Siwen said very respectfully. He understood His Majesty's meaning. The Western-style algorithm they learned was not completely Western-style, but Chinese-style.

"Your Majesty, the students also have questions." Seeing that His Majesty answered Zhang Siwen's question, Wang Qian raised his hand to ask.

"You ask." Zhu Yijun still asked with a smile.

"Your Majesty's students don't understand. Arithmetic is more like a highly complex intellectual game performed by experts to solve difficult problems. Is it really so important? If it is important, why did Daming not pay attention to it before, but now? "Wang Qian expressed his doubts, he didn't quite understand the degree bypass.

As soon as Wang Qian said this, Wang Chonggu directly supported his forehead, and he specifically told Wang Qian not to talk if he had nothing to do. As a result, Wang Qian directly asked a very strange question, questioning the importance of arithmetic or degree bypass.

"You asked very well." Zhu Yijun said with a smile: "Yes, it is so important, even if it is just a highly complex intellectual game, it can still screen out a lot of illogical rotten scholars in the imperial examination, that's all. , it is completely worthy of promotion.”

"Daming did not pay attention to it before, but now it is the same as the law of the development of things."

"The law of development of all things is roughly like sawing wood, sometimes forward, sometimes backward, but overall it develops in depth."

"For example, before the Ming Dynasty, the ethos of prospering culture and martial arts was rampant. Since Wang Ji obeyed the secret edict to kill generals, this trend has spread to the Tumu Fortress Change, and then spread from the Hongzhi period to the 29th year of Jiajing.

"If you are hurt, you have to Zhenwu. Because you don't pay attention to arithmetic, Daming can't even measure the acres of fields, so you have to pay more attention."

As for the meaning of arithmetic, Zhu Yijun needs to talk about more than a dozen chapters if he really wants to explain it clearly.

Upon hearing this, Wang Qian found that His Majesty answered with contradictory negation and negation, and immediately expressed that he understood clearly.

In addition to the demonic art, there is actually another problem that Daming opposes arithmetic, that is, utilitarianism, arithmetic and business are highly and closely integrated, and the status of merchants is low because merchants have a heavy heart of utilitarianism .

But the imperial court will perish if it is not utilitarian.

Zhu Yijun has been reading the historical records of the country recently. The weakness of Ming Dynasty at this time is definitely not achieved overnight, but a downward cycle. The downward speed of this cycle is not constant. Emperor Yingzong and Emperor Xiaozong also stood up and stepped on the accelerator to the bottom to accelerate Daming. slide down.

Jiajing did not go to court, and Emperor Longqing did not see his assistants and courtiers, but they still approved the memorial.

Thirty years after the arrival of Emperor Wanli, Emperor Wanli stepped on the accelerator directly into the fuel tank, causing the Ming Dynasty, who was on the downhill road, to dive all the way into the abyss.

In any case, memorials still need to be approved.

"Can the difference method only be used in the summation of high-power operations?" Another student began to ask.

With a smile on his face, Zhu Yijun talked about a few cases of the application of the recruiting method. The recruiting method is a fitting method that can be used in all aspects of life, such as Dingjian, recruiting soldiers, recruiting, freight, smelting, astronomy, etc. , For example, in ironmaking, it is necessary to determine the amount of a certain material added, and so on.

Zhu Yijun explained how to measure the line of sight of the sun, moon, and five stars using the method of recruiting. He only scratched the surface. Calculating the sun, moon, and five stars is still too difficult for students. If you want to enter the Qin Tianjian, you can continue to study .

Zhu Yijun answered the students' questions. It was not until late in the evening that Zhu Yijun finished the first class of the day.

Overall, his first class was extremely successful.

"Your Majesty has worked hard. Your Majesty's lectures are really thunderous. Could it be that the listeners are enlightened." Seeing that everyone had dispersed, Feng Bao praised him when he came up. He gave a class and stood for an hour and a half. This is really true. Very hard.

"Sycophant, prepare the horse, go to the Beijing camp." Zhu Yijun didn't let Feng Bao continue to flatter, but chose to go to the Beijing camp to inspect the military horses. Emperor Cheng Zuwen said that even if there are knives in the sky, you have to go to Beijing with a steel umbrella Battalion parade military horses.

Let the soldiers know who is the emperor.

"Your Majesty, take a day off." Yu Dayou is old, but he still insisted on listening to this class. He is a rough man, but he has learned the method of recruiting. After finishing the four-yuan technique, he talked about the recruiting method, and Yu Dayou understood both the four-yuan technique and the recruiting method.

Of course, during the teaching process, no student suggested that the teacher delay the class.

After all, there are twenty correctors, standing on both sides of Yilun Hall, any student who dares to say that will be corrected by physics.

"Rest today, and I want to rest tomorrow. I'm young and I can't rest. I'm going to the Beijing camp first. Come back, everyone." Zhu Yijun waved his little hands, got on his horse, and rushed to Beitu City outside Deshengmen.

Ge Shouli looked at the back of His Majesty leaving, and said with a smile on his face: "The angry horse in fresh clothes is young."

Ge Shouli was extremely pleased that the sun was rising, and he also felt incredible about Zhang Juzheng's power to turn decay into magic.

Zhang Juzheng raised his hand and said: "Your Majesty gave lectures in a simple way, penetrating into the inside, and used all available methods to make the students understand. The Zhongshu Sheren recorded the notes on daily life and have already copied them. In this class, Very well said."

"Zhang Huangbang announced the content of this class. The monthly exam will be about recruiting methods. Those who score eight out of ten will go to the official woolen factory to fish wool for three days and offer wine. This matter will be left to you."

"Yes." Fan Yingqi took the order immediately. He didn't think it was very demanding. Your Majesty's lectures are extremely vivid, logical and rigorous. For the students of the Imperial College, they can't learn these things, and don't find a rope to hang themselves Get up, I am so sorry for His Majesty's preparation.

The emperor gave lectures in person, and the lectures were so good that they exceeded everyone's expectations.

Zhang Juzheng was afraid that the students would not be able to understand the recruiting method, so he asked the emperor to teach the Siyuan technique. He probably underestimated the emperor's teaching ability. Judging from the reactions of the students and Yu Dayou after the class, this class was very successful .

The monthly exam of the Imperial College depends on this content, can't you learn it?If you can't learn it, go to labor reform, experience the hard work of poor coolies, and do physical labor for three days. Knowing that life is hard-won today, you will definitely learn it next month.

The Guozijian immediately mourned, but after reading the yellow list, Jiao Hong had fully realized the application of the recruiting method, which was really not difficult.

Zhu Yijun came to the Beitu City camp again. He didn't bother the soldiers. The training was over, but he just walked around. The soldiers thought the emperor would not come today, but before the sun set, they saw the emperor's car, Longqi Dazhu was talking with the emperor himself and Qi Shuai.

This made the soldiers of the Beijing camp feel extra at ease.

The fact that the dragon flag flutters in the capital camp for a day proves that Ming Zhenwu will not end.

The last time Zhu Yijun killed the lowly Confucian Chen Youren and spread it in the Beijing camp, Zhu Yijun entered the military camp, and the soldiers supported him from the bottom of their hearts.

Zhu Yijun and Qi Jiguang chatted about the war in Northeast China. Daningwei and Tuman Khan had more than 20 rounds of small-scale fights with each other, and each had a winner or loser. Ning Wei's attempt.

Wang Rulong is not Tang Kekuan. Wang Rulong is Qi Jiguang's direct descendant. He obeys the general's order and never takes the initiative to go out to fight in the camp. Qinglong Fort, Xingshu Fort, and Taotushan Fort are just like each other's horns. Taking over is like a fool's dream.

The Five Battalions of Khalkha also got their noses in the face of Li Chengliang. Li Chengliang's use of troops was extremely strange. If it weren't for the fact that Kalkha's thousands of households ran so fast, they would almost have been pulled out by Li Chengliang and quickly transferred Hai's strategy. At that time, he fell off his horse and broke an arm. In a short time, he couldn't form an effective offensive against Zhang Wu.

"Subahai is very desperate, because even if Zhangwu garrison is defeated, from Zhangwu to Pinglu Fort, there are earth fortresses all over the place, and they must be gnawed down, otherwise they will never return when they invade Liaodong." Zhu Yijun's He has zero military talent, but he also knows that if he dares to intersperse quickly, there is only one dead end.

Once rushing in quickly, it is like infantry entering a minefield, and no place in all directions is safe.

Hou Yuzhao's farming in Liaodong caused great trouble to his direct opponent Su Bahai.

"I'm more worried about the reconciliation between the left and right wings." Qi Jiguang said rather worriedly: "Although the third lady seems respectful, she has been seeking reconciliation between the left and right wings. Last time she went from Qinglongbao to Tumanhan Jinding University Account, discussed this matter."

For politicians, gender is secondary and political identity matters.

"Qi Shuai's worries are also my worries. Qi Shuai is so good at fighting that I thought the northern captives were weak, but the death of Tang Kekuan did clearly tell me that even Dong Huli, who was played around by Qi Shuai, would It can kill Tang Kekuan." Zhu Yijun was also worried about this issue.

"You have to stick out the inside and the outside, so that the left and right wings can't be reconciled. Let me think slowly, hey, I have it!" Zhu Yijun raised his eyebrows with his left fist and his right palm and said, "Let Wang Rulong collect the wool of the right wing before winter comes. The emissary of Man Khan has nagged so many times, so he is extra merciful and bought it at a price that is less than one-third of the price of the left wing."

"This man doesn't worry about being few, but about being uneven."

Hearing this, Qi Jiguang felt a chill down his spine, and looked at His Majesty dully. His Majesty may not know how to fight, but his ability to fight fire is first-class tough. When he rolled his eyes, it was an idea.

It’s fine if you don’t collect wool, but in the end, you can buy it at a reduced price based on the left-wing price.

Tu Manhan's right-wingers were not qualified to participate in the wool business. If they couldn't get it, they wouldn't be jealous, but if they got it, they ate less than others, and they immediately became jealous.

And Al Da Khan's left wing, originally a unique business, was scooped up by Tuman Khan at a low price, what would Al Da Khan think?He has the heart to kill Tuman Khan.

"It's really a sad thing to be the enemy of His Majesty." Qi Jiguang said sincerely. It is Qi Jiguang's most gratifying place that His Majesty can use the power in his hands correctly. He can provide His Majesty with an invincible army. Use it, but His Majesty doesn't use it, and he can't help it.

"That still has to be won by Qi Shuai, so I can torment them like this." Zhu Yijun said with a bright smile.

It is an indisputable fact that military victories bring more initiative. All of this is based on winning the battle.

The backs of Zhu Yijun and Qi Jiguang were drawn very long by the setting sun.

After Zhu Yijun returned to Beijing, the first thing he did was to take a look at today's miscellaneous newspaper. The Quanjin Zabao comprehensively sorted out the various technological innovations of the official woolen factory, and praised the craftsmen's spirit of research. Many The inconspicuous small technology saves a lot of cost, manpower and material resources, and the Jin Party shows their respect for the craftsmen.

The main content of the Quanchu Miscellaneous News is the serialization of Qi Jiguang's Dongzheng Ji, and the nonsense Pingwa Ji, which made Zhang Juzheng very, very angry. With such an army in Ming Dynasty, he would rather starve himself than reach out to the people. Mi Vat, The Story of the Eastern Expedition is a series of practical reports, serializing all the achievements of Qi Jiguang from military training to the Pingwa, focusing on the comparison of the lives of the people before and after the Pingwa.

The Quanzhe Miscellaneous News published some progress of Qingzhang, as well as Song Yiwang's water control in Nanya.

In addition to the three major party journals, many miscellaneous newspapers have sprung up like mushrooms after rain, such as Min Bao, which likes to report all kinds of things closely related to the people, and has become the most sought after newspaper besides party journals. What Geng directed to organize in Beijing is mainly about food, drink and entertainment, such as Zhu Zaiyu's Twelve Laws, various novel musical instruments, and some ways to eat kelp.

The research on the big neck disease of the Xie Jie Hospital was also published in Minbao.

The miscellaneous newspaper that Zhu Yijun dislikes the most is the Fushe Daily founded by Sun Jigao and other retro Confucian scholars. retro.

Zhu Yijun snorted and said: "This Sun Jigao, who is scolded by children every day, still keeps running newspapers and selling them well. Look, after a while, he won't even be able to pay the rent!"

Newspapers that cannot be sold will naturally be eliminated. Sun Jigao's Fushe Daily has a huge market, but those old-fashioned things have been talked about for a long time, so no one listens.

"The Ministry of Rites heard that Li Yashi, the special envoy of Frangji, wanted to run a Taixi newspaper to publish some interesting overseas stories, please play your Majesty." Zhang Hong took out a memorial, and Li Yashi also wanted to join in the excitement of running a miscellaneous newspaper. Introduce overseas affairs.

After Zhu Yijun took the memorial and read it, Zhu approved the memorial. He approved Li Yashi's request, but specially ordered the Ministry of Rites to prevent Li Yashi from preaching. If he found out, he banned it immediately.

It is absolutely impossible to allow preaching, and more than half of the Dalongxing Temple was taken away to build the Royal Gewuyuan.

"Has Antonio left?" Zhu Yijun asked the whereabouts of the captain. He is an investor, so he naturally needs to pay attention to the progress of the project.

"I borrowed 50 yuan and left the capital. I went to Tianjinwei to take a hydrofoil sailboat to Songjiang Mansion, and I am going back to Taixi." Zhang Hong took out a memo, found the entry of Legazim, and reported Antonio's whereabouts.

Antonio bought a total of four ships, bought firearms for two ships, bought some gunpowder, and hired a group of sailors and boat masters from Ming Dynasty. These sailors and boat masters are for a five-year period. , or change the ship, it all depends on the decision of the boat master and sailors themselves.

Ming ships can carry bows and armor with knives, cannons and firecrackers can also be equipped, but bows and guns are not allowed to be filled when entering the port. They can only be inspected by coastal defense inspections. Zhu Yijun gave Antonio the treatment of Ming ships. After all, Antonio is a vassal.

Antonio's profits were all used to buy ships, and he owed a lot of debt.

Daming earns money, Daming spends money, and one part wants to take it home.

 Ask for a monthly ticket, woohoo! ! ! ! ! ! !
  
 
(End of this chapter)

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