I'm really not doing business

Chapter 136 "Treasures of Mathematics", "Tongzong of Algorithms" and "Taixi Mathematics"

False accusations are usually dealt with by sitting back.

In the Han Dynasty, "Hanshu" equated false accusation with killing and injuring people, and clearly stipulated that if you are over eighty years old, you should not sit down if you are not falsely accusing or killing people.

False accusation is equivalent to verbal slander and weapon wounding.

In the Tang Dynasty, "Tang Law Discussion · Dou Litigation III": All false accusers should sit on their backs.Reverse sitting means that the punishment due to the falsely accused crime is imposed on the false accuser.

Inherited from the Tang system, the Ming law was stricter on false accusation and retaliation, adding three grades to the crime. It is expressly stated: falsely accusing a person of a crime and answering a crime shall be added to the false crime;Each crime is stopped with a stick of one hundred and three thousand miles; if it is a crime to falsely accuse someone of death, and the person accused has already been killed, he will sit down and die instead.Those who are undecided will have a stick of one hundred and three thousand miles, and three years of additional service.

In "Gang Xianshi Lei" and the Metropolitan Procuratorate chapter of the Ming Dynasty Huidian, Ke Chen is also required not to stay with prostitutes, not to take prostitutes to play, not to sneak into the theater, etc., and also not to make false accusations, and instead of sitting and adding false accusations Third class.

The Kechen Yanguan is an extremely important part of the Ming Dynasty's error correction mechanism. If the Kedao Yanguan is weaponized and instrumentalized, and becomes a tool for eliminating dissidents and acting as a minion, the Ming Dynasty's official administration will immediately collapse completely.

Judging from the actual monitoring situation in the Ming Dynasty, the role of Yanguan showed a downward trend. It was fine in the early and mid-term, but in the middle and late period, Yanguan became a catalyst for corruption and degeneration of officials from a decontamination agent for officials. .

In fact, Zhang Juzheng has nothing to do with the Kedao spokesperson. He can't do anything to the Kedao spokesperson, otherwise he will confirm all Fu Yingzhen's accusations against Zhang Juzheng.

It doesn't matter if Zhang Juzheng is inconvenient to make a move, as long as Zhu Yijun makes a move.

Ti Commander Zhao Mengyou sharpened his sword and waited eagerly. After pulling the four people on the ground onto the bench, he raised his court stick and hit it down heavily. Weeping and howling.

Zhu Yijun, on the other hand, watched with cold eyes. Zhu Yijun didn't stand up until the execution was over. He didn't even look at them. He left Huangji Gate and returned to Wenhua Hall, where he continued to listen to the government.

The treatment of these four people is not over yet. After receiving the imperial scepter, they still have to lose their official status and return to their hometowns to stay idle, and they are not allowed to sign official affairs. This is to eliminate the possibility of these people's recovery. , and finally ended up like this, it can only be said that it is their own fault.

Soon an imperial decree announced to the world that if the officials of science and Taoism still feel that the emperor has hurt the ministers of the eyes and ears and the integrity of the bones, they can continue to play it. As a result, Zhu Yijun did not wait for the officials to continue to play chapters. The little emperor The series of tricks is really too tricky. After making cards out of thin air and then playing them one after another, I'm afraid it won't be able to end with a single blow of the stick.

So far, Zhu Yijun has taken advantage of the contradiction between Duoqing and Ding You to deal a heavy blow to the arrogance of lowly Confucianism, and to a certain extent corrected the style of framing by officials of science and Taoism. .

Recently, Zhu Zaiyu is busy with a major event, which is about the official compilation of mathematics, that is, the compilation of textbooks. Originally, Zhu Zaiyu thought it was a very simple matter, but was repeatedly rejected by the emperor of Ming Dynasty. The textbook is just one evaluation, not satisfied.

It's not that Zhu Zaiyu has a problem with his math skills, it's that the little emperor's requirements are too high.

"Uncle Huang, what is arithmetic and mathematics?" Zhu Yijun looked at the textbook that Zhu Zaiyu presented again in the side hall of the Wenhua Palace, and rejected it again, and said with a little helplessness: "Borrowing from Guochu Yan Gong's "Tongyuan Algorithm" A sentence in ", that is: a book of ten thousand different principles, reaching the law of Tongyuan."

"That's math."

"During the reign of Jingtai, Wu Jing wrote "Nine Chapters of Detailed Annotations and Comparable Algorithms", which is regarded as the master of mathematics in the Ming Dynasty, but what is the "Enlightenment of Mathematical Sciences" written by the emperor's uncle? The method of accounting for diseases, pregnancy and men and women, mathematics Can it solve the problems of whether you will get sick or have boys and girls?"

"What is arithmetic? Arithmetic is the language of infinite things, and the only way to make all things speak. If this kind of official arithmetic is passed on to the world, how is it different from the art of witchcraft? Wouldn't it be ridiculed?"

Zhu Zaiyu was silent for a moment, bowed his head and said, "No, Your Majesty is wise."

In fact, Zhu Zaiyu was not satisfied with his enlightenment in arithmetic, and he had already tried his best.

As the emperor's arithmetic teacher, he really had nothing left to teach, and the little emperor was really strong in arithmetic.

Zhu Yijun still said with a serious face: "Mathematics is the expression of the infinite theory of everything, it should be as concise as possible, there should be a whole set of rigorous and well-organized argumentation process, it should be about practical problems, boldly put forward conjectures, and be careful Argumentation, careful induction and summary, and repeated verification.”

"Anathematics is the solid foundation for the development of all things, and arithmetic is the general experience of the three talents and all things."

"The enlightenment of mathematics written by the emperor's uncle is like folk wizards dancing a dance they don't know what it is to the sun, praying to God and worshiping Buddha in front of a clay statue, and then burning a spell and drinking it in one gulp. Steamed buns with blood can cure tuberculosis.”

"Uncle Huang, this is not the arithmetic I want, nor is it the arithmetic that Daming should have."

"Uncle?"

Zhu Zaiyu hurriedly said, "The minister is here."

Zhu Yijun continued: "Uncle Huang's enlightenment in arithmetic is not only not enlightening, but it is easy to lead people astray. It is teaching people how to do calculations, not how to do calculations, let alone why. It’s the same as the rotten Confucians shouting the laws of the former kings, they are all teaching people how to do it, but they don’t teach people how to do it, let alone why they do it.”

"To put it more clearly, it means knowing what it is, knowing why it is, and knowing what it must be. Uncle Huang's arithmetic enlightenment is just knowing what it is, not knowing why it is."

"I am very disappointed."

"Even my 12-year-old child can learn the arithmetic of the emperor's uncle. Is this a knowledge?"

Zhu Zaiyu roared crazily in his heart, little emperor, can you be like ordinary people?Your arithmetic has already been perfected, do you still need someone to teach it?
During the half-year mathematics class, Zhu Zaiyu was completely numb. Rather than saying that he was teaching the little emperor, it was better to say that the little emperor was teaching him. The emperor didn't need him to teach many questions at all, and the little emperor could use the winter solstice The shadow leader of the watch, who can measure the winter time to the exact degree of quarter, is a child prodigy just like Zhu Zaiyu and Zhang Juzheng.

"Your Majesty, is there a possibility, that is, the mathematics compiled by the minister is just at the level that we Ming students can accept?" Zhu Zaiyu thought about it and put forward a hypothesis. It is not that there is something wrong with his compilation, but The emperor is too demanding?Overestimated the ability of Ming students to accept.

Except for the Four Books and Five Classics, the students of the Ming Dynasty did not read the rest, not even the Canon of the Ming Dynasty, let alone the mathematics. The reason why the students of the Ming Dynasty did not study the mathematics was because the imperial examinations of the Ming Dynasty did not take the subject of mathematics in the Ming Dynasty. The Song Dynasty did not take the test, and the subject of mathematics in the Ming Dynasty was only a flash in the pan in the early Tang Dynasty. At the end of the Tang Dynasty and the Five Dynasties and Ten Kingdoms, the study of mathematics was not taken at all.

It can be said that the development of mathematics in the Central Plains Dynasty almost stagnated after it failed the imperial examination.

"Uncle Huang's words are reasonable." Zhu Yijun also nodded helplessly. His request was indeed a bit high. What he wanted was calculation, but what Zhu Zaiyu gave was calculation. The main conflict between uncles.

"Your Majesty, shall we let the students accept the calculation first? It is also very good to be able to calculate the number." Feng Bao also said something fair for the emperor's uncle. Not everyone is a child prodigy, nor is everyone Able to accept the concept of arithmetic as the total economy of the three talents and all things.

Walk the road step by step, and eat food bite by bite.

Zhu Yijun thought for a while and said: "Uncle Huang's arithmetic has no mathematical theory, so it's better to change it again."

"Your Majesty, Ge Shouli is asking for an audience outside the hall." A little yellow man hurried in and said.

"Why is he here?" Zhu Yijun asked a little strangely: "Xuanlai."

Ge Shouli walked into the Wenhua Palace step by step with 55 volumes of books in his hand, put the books he brought on the ground, respectfully kowtowed five times and three times, and said loudly: "Greetings, Your Majesty, long live your majesty, long live your majesty age."

Zhu Yijun looked at Ge Shouli and asked, "Ge Gongping is dead, why are you here?"

Ge Shouli said with a smile: "I will relieve your majesty's worries. I see that Yuan Fu applied for the old rules to study and govern in order to revitalize talents. The great Situ's degree is bypassed to pay national taxes and calculate science. Your Majesty also seeks calculation talents when collecting taxes. I have 55 volumes of precious books. The book says: "Xinji Tongzheng Ancient and Modern Mathematics Treasures"."

"Oh? Bring it up for reading." Zhu Yijun picked it up and looked at it for a long time before putting it down and saying, "Where did the book come from?"

Ge Shouli quickly replied: "Mathematics is an indispensable part of the world, between public and private. This book was written by Wang Wensu, a Jin merchant during the Chenghua period. There is a manuscript, and I find it novel. At that time, I was the secretary of the household department and presided over the national tax calculation book, so I copied a copy for my own use. Now I heard that His Majesty and Prince Zheng were confused by the enlightenment of mathematics, so I dedicate the book."

Zhu Yijun looked at the treasure book of mathematics at hand, then looked at Ge Shouli and said with a smile: "It turns out that I got it from Yang Dazai. It's very good. Ge Gong has made meritorious deeds. What kind of reward do you want?"

"Your Majesty solves problems for His Majesty, and does not ask for rewards. You are the censor of the left capital of the country, and you are in charge of admonishing, but you can't restrain them. Today, four crazy students have arguing in front of Huangji's gate for no reason, making the emperor bully you." The heart of the minister is the minister, and the crime of being deceived by the minister is the master."

"There is mutual suspicion and fear between the ministers and masters, emotional estrangement, and a lot of discussions, so the blessing of peace and tranquility will not be enjoyed in the end. This minister deeply cherishes it."

Zhu Yijun understood that Ge Shouli wanted to get himself out of the Huangjimen Fuque matter.

Wu Zhongxing, Zhao Yongxian, and others are all imperial censors. As the head of the imperial censors, it is difficult for people not to misunderstand that Ge Shouli is joining hands in the middle. When he was troubled by mathematics, Ge Shouli came with his "Baojian of Mathematical Sciences".

Zhu Yijun thought it over and said: "Ge Gong is wrong. I know Ge Gong is respectful. Ge Gong is the leader of the Jin Party and respects the power of the sovereign. Sheren, with special exceptions, will give each one a python suit and a bullfight, a hundred taels of silver, four coats of silk, five thousand guan banknotes, and five bottles of wine, and if you show your favor to your family, you don't have to leave."

The wine is sweet potato burnt made by Zhu Yijun himself, and the reward of this wine is five bottles at a time, which means that Zhu Yijun is really happy.

The crown prince Shaobao, in the future Ge Shouli will be Ge Shaobao in the court, even though he is only a new official.

"I would like to thank Your Majesty for your grace." After hearing this, Ge Shouli thanked Shengen again, fell down on the ground, and said in a low voice: "Your Majesty, I am old and can no longer solve your majesty's worries and problems."

"Huh? Is Mr. Ge going to be an official? If Mr. Ge is worried that the officials of the Ke Dao will get involved with you, you don't have to worry about it. I'm not an ignorant person. Let alone Mr. Ge, it's Yuanfu, Xiandi, Sejong, who can control me?" Obtained as an official of Ke Dao? A group of people who dare to resist the imperial court's decree for the sake of great reputation, only for the selfishness of the family." Zhu Yijun thought that Ge Shouli was afraid of being implicated by Ke Chen Fu Que, so he simply resigned from office and went to hide quietly.

"Your Majesty, I'm already seventy this year, which is an extremely rare age." Ge Shouli said, "It's really old."

"Ge Gong, get up and talk, Ge Gong is seventy this year?! I look like he is in his 50s, Ge Gong really has a good health." Zhu Yijun looked at Ge Shouli with wide eyes, and he looked at it for a long time. I really didn't see Ge Shouli's 70-year-old appearance.

"Your Majesty." Ge Shouli said with a smile on his face: "At this age, if you don't leave your position, you will be disgusted by people and greedy for positions."

"Is Mr. Ge suffering from an old illness?" Zhu Yijun asked suspiciously.

Ge Shouli shook his head and said, "No."

"Then it's over? I want to see, who dares to make a fuss about Ge Gong's age." Zhu Yijun heard that Ge Shouli was not in pain, and said with a smile: "Ge Gong don't need to say too much, let's stop talking about getting an official job." mentioned."

Ge Shouli can be used, and the Jin Party has taken on a new look in Ge Shouli's hands. Now that Ge Shouli has retired, Zhang Siwei and Wang Chonggu immediately lost the competition within the party. How could Zhu Yijun make Zhang Siwei happy?
As Ge Shouli said, "Baojian of Computing and Learning" was published in the second year of Jiajing and was widely circulated among Shanxi merchants. Didn't Zhang Siwei know about it?As long as he is a little submissive, why didn't he present the "Baojian of Mathematical Sciences" to the imperial court to solve the immediate urgent affairs of Daming. Zhang Siwei didn't, and Ge Shouli came.

"Then the minister will continue to solve His Majesty's worries and problems?" Ge Shouli said after thinking about it.

"Excellent, excellent, burning sweet potatoes, not... Guojiao's wine has a high alcohol content, so it's better for Mr. Ge to drink lightly." Zhu Yijun nodded with a sunny smile on his face.

This was Ge Shouli's test. By presenting a book, he tested whether he was a courtier in the emperor's mind, and whether he should get out and save himself.

But it was obvious that the little emperor was very satisfied with Ge Shouli. Ge Shouli had a sour and rotten air peculiar to some scholars, but he was not a lowly Confucian, nor was he a corrupt Confucian.

Ge Shouli couldn't control the rebellious group of Ke Dao officials.

"Your Majesty, Mr. Yuanfu is asking to see you outside the hall." Another little yellow door rushed in and reported the news.

"Xuan."

Zhang Juzheng was also holding a stack of books, walked in step by step, put the books on the ground, shook his sleeves and said, "I pay my respects to Your Majesty, is Your Majesty safe?"

"Excuse me, sir is also here to offer a book? What kind of book is it?" Zhu Yijun looked at the dozen volumes of books Zhang Juzheng was holding, and asked curiously.

Zhang Juzheng bowed his head and said: "Returning to Your Majesty, "Zhizhi Algorithm Tongzong" written by Cheng Dawei, a businessman from Huizhou Prefecture in Nanzhili, has a total of [-] volumes. Applying for the old chapter to study politics, and hearing that His Majesty and Prince Zheng's sons are trapped here, I present a treasure book."

Zhu Yijun read the book carefully. It is not surprising that Zhang Juzheng presented the book. Zhang Juzheng proposed the application of the old chapter to study politics, and he also added mathematics. In the end, he wanted to promote mathematics. Without textbooks, Zhang Juzheng naturally could not allow himself to implement the policy It is the flower in the mirror and the moon in the water, so I presented the book.

"My Daming is really full of talents." Zhu Yijun said with emotion after simply looking through it.

Zhu Yijun smiled and asked, "What reward do you want, sir?"

"The decree proposed by the minister, the minister will naturally implement the administrative decree. I would like to kowtow to the head and only accept it. I am very grateful for the grace of heaven." Zhang Juzheng did not want to reward, because His Majesty has already given the reward, and he ordered his parents to come to Beijing to be loyal and filial. Quan, to Liang Menglong and Jin Ge's inability to avoid seizing love, and then to Zhao Mengyou's incessant progress, making cards out of thin air and Lu Guangzu's seizing love, this series of struggles were all decided by the little emperor, and solved Zhang Juzheng's parents. The huge passive on it.

What kind of reward does Zhang Juzheng want for this kind of support?Doing a good job as the chief assistant and implementing the New Deal well is Zhang Juzheng's greatest gratitude.

Zhu Yijun shook his head and said: "Sir, I don't want it. I can't refuse to give it to you. If you don't get rewarded for your merits, the world will see that I'm not very kind. Don't say no, sir, for your contribution to books.

"My minister thanked God for his kindness." Zhang Juzheng thought about it again and again, and he did not want to say no more. He did a good job in presiding over the New Deal.

Zhu Yijun looked at the two piles of arithmetic and said, "Where is the author of the Algorithm Tongzong?"

"Business in Huizhou, Nanya." Zhang Juzheng replied honestly, this book was sent to the capital by Song Yangshan, governor of Yingtian, in order to cooperate with Zhang Juzheng in rectifying education and administration.

Hearing this, Zhu Yijun thought for a while and said seriously: "The virtuous are in the field, and it's because I don't cultivate benevolence. Sir, with such a great talent, wouldn't it be advisable to recommend him to return to Beijing?"

There are virtuous people in the field and not in the court. This is caused by the emperor's lack of morality. This is the only way for lowly Confucians. Since there is such a mathematician still alive, he will naturally be brought to the capital to serve the court.

"I obey the order." Zhang Juzheng bowed his head and took the order.

Looking at another pile of books, Zhang Juzheng asked, "Did Ge Gong also come to offer books?"

"Coincidentally, did Yuanfu also come to present the book?" Ge Shouli said with a smile on his face. In this matter, Ge Shouli was one step ahead of others, and he presented the treasure of mathematics earlier than Zhang Juzheng. learn from.

"Your Majesty, Minister of Rites, Wan Shihe, please see me outside the hall." Another little yellow door hurried in.

"What day is it today? Have you all come together?" Zhu Yijun said happily when he heard that, "Xuan."

Wan Shihe came in with a few books in his hands, bowed five times and kowtowed three times and said, "I pay homage to Your Majesty, is Your Majesty well?"

"An, excuse me, what book does Wan Shangshu want to present?" Zhu Yijun asked, looking at the few books Wan Shihe had brought.

"Chen Xuexue, Minister of Honglu Temple, compiled six volumes of "Taixi Mathematics"." Wan Shihe handed the book to Zhang Hong, and said very respectfully.

In Haojing and in Luzon, Daming obtained a large number of books. Among these books, Chen learned to pick and choose. After picking out all the scriptures, he selected the whole set of mathematics and did a compilation and translation.

Zhu Yijun opened it and looked at it for a long time, then nodded and said: "Very good, Wan Shangshu has made great contributions to dedicating books, and Yin Yizi is a member of Zhongshushe. , Sisi, four bills, five thousand guan banknotes, and five bottles of wine, in order to honor the merits of translation, collation and compilation."

"That's right." Zhu Yijun glanced at so many masterpieces in his hands. All of this starts with tinkering with the telescope. As the language of all things, arithmetic becomes more and more important. The emperor wants to learn arithmetic, and the officials of the empire must I will do my best to take out the works of mathematics and let the emperor check them out.

Zhu Yijun smiled and said, "Uncle Emperor, start compiling "Arithmetic Enlightenment" after copying a copy."

Zhu Yijun held the "Baojian of Mathematics" in his hand. Wang Wensu's masterpiece of mathematics compiled by Haoshou was only circulated in the hands of Shanxi merchants. It was a pity that it was used as a tool for trading.

In the treasure book of mathematics, there is a kind of thinking: a new collection of tokens.

Token is to remove the false and save the truth, fill in the gaps, and clear the source. It is a summary and demonstration of the past mathematics. argumentation, conclusion.

In line with Zhu Yijun's requirements for mathematics, bold assumptions, careful argumentation, and generalization.

Zhu Yijun read "Baojian of Mathematics" which studies the numerical solution of high-degree equations in one variable. In this book, arithmetic is like a heavenly scripture. It's really not easy to understand.

The emperor had a copy of "Taixi Mathematics" at hand, and introduced "Algebra" published by Milan in the 29th year of Jiajing, summarizing the symbols of addition, subtraction, multiplication and division, and using sub-parent algebra to replace unknowns, it will become easier to understand.

After reading the six volumes of "Algebra", Zhu Yijun realized that there was still no concept of decimal system in Thai and Western mathematics at this time, and that decimal fractions, decimal numbers, calculation methods and notations were lacking. (It was not until 1585 that the Dutch mathematician Stevin introduced decimal fractions into the system.)
However, in Zhu Yijun’s mathematics textbook, the "Nine Chapters of Arithmetic" in the Wei, Jin, Southern and Northern Dynasties states: "The unknown number of micro numbers is considered to be a numerator, and one of them is back to ten as its mother, and then it is back to a hundred. thin.When calculating compound interest in the "Nine Chapters of the Book of Numbers" in the Southern Song Dynasty, the great mathematician Qin Jiushao calculated the compound interest as: 79 Wen, three cents, four cents, eight cents, four silk, six suddenly, seven micro, seven sand, three mang, one light, two clear, and five smoke.

In fact, there is no actual unit below the text, and every centimeter is calculated as interest.

Wang Wensu's numerical solution to high-degree equations in one variable is very interesting.

For example, to find the approximate root of x-3x+1=0, the method given by Wang Wensu is simple and rude, cut off x directly, and get a formula -3x+1=0, x=1/3, and bring this approximate root into , the left side=1/27≈0.03, obviously, 0.03≠0, there is an error.

显然这个近似根还不够近似和精准，为何进一步近似，设误差为u，也就是说x=1/3+u，将这个近似根带入原式可得，(1/3+u)-3(1/3+u)+1=0，这个方程还是一个高次方程，如何求解？再次把高次项砍掉，得到一个式子1/27+1/3u-1-3u+1=0，解得：u=1/72，x=1/3+1/72=25/72。

Bring in the approximate root of x=25/72, the left side ≈0.00025, obviously, 0.00025≠0, there is still an error.

Why further approximation, set the error as i, x=25/72+i, and then bring this approximate root into it, do it again in the same way, and get a more approximate value.

On this basis, Wang Wensu adopted a valuation method, first roughly finding the approximate root a, and then setting the error b, step by step.

Find an approximate solution of f(x)=0, set x=a+b, and substitute: f(a+b)=f(a)+kb+o(b), f(a) can be solved The constant term, o(b) is a high-order term that is not easy to calculate, so cut it off directly, and then get a solution of a one-dimensional linear equation. Only the coefficient K of the primary term is required, and the approximate solution of the equation can be obtained iteratively, regardless of the order of the equation No matter how high it is, it can be approximated infinitely.

This K is called differentiation in later generations. This method of iteratively solving higher-order equations is actually more of a method of partial application to find approximate solutions, but it is indeed an infinite cut of differentiation.

After that?After that it was gone.

Even the results of Wang Wensuku's decades of poor experience are nothing more than reference books in the hands of businessmen, and they have not been widely circulated. Ge Shouli's presentation of these 55 volumes of books is just to solve some urgent problems without teaching materials. That's all.

Compared with the Song and Yuan Dynasties, the mathematics of the Ming Dynasty has improved, but this progress is fragmented and unsystematic.

Zhu Yijun looked at his pile of great works on mathematics and knew that he was busy.

Zhu Zaiyu deleted some content about accounting for diseases, pregnancy and men and women, and recompiled "Arithmetic Enlightenment". Enlightenment is enlightenment. Addition, subtraction, multiplication, and division solve equations. Simplification, the six-volume "Taixi Mathematics" is easy for Zhu Zaiyu to understand. Various mathematical symbols and algebraic thinking make mathematics more concise.

As for the higher-level mathematics textbooks, Zhu Zaiyu had to study and understand the three masterpieces in his hand before continuing to compile them.

Zhu Yijun is only 12 years old, he can afford to wait.

After watching a little emperor angrily scolding his officials in the capital, Chen Lin took his three-body hydrofoil sailboat and went south again, heading for Songjiang Mansion.

Chen Lin, who returned to Songjiang Mansion, needs to perform the ocean test mission again, this time to go to Yuegang, to the Penghu Inspection Department, to Luzon, and this time, a total of seven hydrofoil sailboats will go to the Governor-General of Daming Luzon together. Yin Zhengmao has been officially appointed Governor of Luzon.

This is not the first time that the Ming Dynasty appointed the governor of Luzon. The first time a governor of Luzon was appointed. In the third year of Yongle, Xu Chailao took the seal of the Ming Dynasty and became the governor of Luzon, commanding military, political, financial, and cultural power.

In Yu Dayou's coastal defense plan, Manila, Luzon will also set up an inspection department to be responsible for anti-smuggling.

The reason why Chen Lin wants to go to Luzon is firstly to continue testing the hydrofoil sailboat, and secondly to confirm whether Hongmaofan's galleon will arrive in Hong Kong as scheduled this year.

Daming needs silver, and a massive inflow of silver is needed to activate Daming’s commodity economy, increase the circulation of Daming’s commodities, and complete the national tax reform. However, Daming stretched out its claws and brought the Spanish Luzon Governorate back into Daming’s command.

And Spain needs a large number of goods provided by Ming Dynasty to alleviate the domestic contradictions of rising prices.

Whether it is war or peace, this is a question.

　Whether the concept of "Party B" in "Bao Xue Bao Jian" is a derivative is still controversial. The shadow of "derivative" is found in the method, but it is just a shadow. The solution method of unary high-order equation in "Baojian of Mathematics" is still a numerical solution method that approximates differential by difference. It is still a bit embarrassing and regretful to write here.Ask for a monthly ticket, woo! ! ! ! !
　　
　
(End of this chapter)