False accusations are usually dealt with by reversing.

In the Han Dynasty, the Book of Han equated false accusations with killing and injuring people, and clearly stipulated: If you are over 80 years old, you should not sit unless you make false accusations or kill or injure people.

A false accusation is the same as a verbal slander and a weapon wounding.

In the Tang Dynasty, "Tang Law Discussion and Litigation III": Those who falsely accuse people will sit back. To sit back means to put on the false accuser the punishment for the crime falsely accused.

Ming inherited the Tang system, and the Ming law was more severe in false accusations, adding a third degree to the crime, and the clear text was: the false accuser should add the second degree of the false accusation to the crime; The crime of falsely accusing a wanderer or of the rod shall be added to the third degree of false accusation. The rod of every sin flows one hundred and three thousand miles; Whoever falsely accuses a person of capital sin, and the person whom he falsely accuses has been killed, sits on it and dies. Those who are undecided shall be served for three years with a rod of one hundred and three thousand miles.

In the "Outline of Constitutional Affairs" and the Metropolitan Procuratorate of the Ming Dynasty, the Metropolitan Procuratorate also demanded that Kechen not be allowed to stay with prostitutes, not to play with prostitutes, not to sneak into the theater to wander, etc., and also not to make false accusations, and to sit back and add false accusations to the third degree.

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 to eliminate dissidents and act as tigers, the rule of the Ming Dynasty will immediately collapse completely.

Judging from the actual supervision of the Ming Dynasty, the role played by the officials showed a downward trend, the early and middle periods were fine, but in the middle and late periods, the officials changed from the detergent of the officials to the catalyst for the corruption and degeneration of the officials.

Zhang Juzheng actually has nothing to do with the Kedao Yanguan, he can't attack the Kedao Yanguan, otherwise he will confirm all the accusations made by Fu Yingzhen against Zhang Juzheng.

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

Ti Shuai Zhao Mengyou sharpened his knife Huo Huo had been waiting, and after pulling the four people on the ground onto the bench, he raised the court staff and beat it hard, and the officials kept crying and wailing in the court staff again and again.

And Zhu Yijun watched coldly, and it was not until the end of the execution that Zhu Yijun stood up, didn't even look at them, left the Huangji Gate, returned to the Wenhua Palace, and continued to listen to the government at the Imperial Gate.

The disposal of these four people is not over, after being beaten by the court staff, they still have to cut their official bodies and return to their hometowns to live idlely, and they are not allowed to sign official affairs, which is the possibility of these people's recovery, and the four people finally ended up in this fate because of the impeachment of Lu Guangzu's revenge, which can only be said to be self-inflicted.

Soon a holy decree was announced to the world, if the officials of the science and Taoism still feel that the emperor has hurt the ministers and the righteous people, they can continue to play to see, but Zhu Yijun did not wait for the officials to continue to play the chapters, the little emperor is too tricky, and the staff blames after making cards out of thin air, and then plays one after another, I am afraid that it will not be over with a court staff.

So far, Zhu Yijun has dealt a heavy blow to the arrogance of the lowly Confucianism by taking advantage of the contradiction between seizing love and Ding Wei, and to a certain extent, correcting the framing style of the Taoist officials, and the injustice, righteousness, and clarity of the atmosphere of the righteous people.

Recently, Zhu Zaiyu has been busy with a major event, that is, about the compilation of arithmetic officials, that is, the compilation of textbooks, Zhu Zaiyu thought it was a very simple thing, but it was repeatedly rejected by the Ming Emperor, and the emperor made an evaluation of the textbook he compiled and was not satisfied.

It's not that Zhu Zaiyu's arithmetic level is problematic, it's that the little emperor's requirements are too high.

"Uncle Huang, what is arithmetic and mathematics?" Zhu Yijun was in the side hall of the Wenhua Palace, looked at the textbook submitted by Zhu Zaiyu again, rejected it again, and said a little helplessly: "To borrow a sentence from Yan Gong's "Tongyuan Algorithm" at the beginning of the country, that is: a book of ten thousand different principles, reaching the law of Tongyuan. ”

"This is arithmetic."

"During the Jingtai period, Wu Jing wrote "Nine Chapters of Detailed Annotations and Analogous Algorithms", which can be regarded as the master of arithmetic in the Ming Dynasty, but what is the "Arithmetic Enlightenment" played by the emperor's uncle? Occupying the disease method, pregnancy pushes men and women, can arithmetic solve the problem of whether you will get sick and give birth to a boy or a girl? ”

"What is arithmetic? Arithmetic is the language of infinite things, the only way to let all things speak, if it is this kind of arithmetic official style, spread all over the world, what is the difference between witchcraft? Isn't that a shameful laugh? ”

Zhu Zaiyu was silent for a moment, then bowed his head and said, "No, Your Majesty Shengming." ”

Zhu Zaiyu is actually not satisfied with his arithmetic enlightenment, he has done his best.

As the emperor's arithmetic teacher, he really has nothing to teach, and the little emperor's arithmetic is really strong.

Zhu Yijun still said with a serious face: "Arithmetic is the expression of the principle of infinite things, it should be as concise as possible, there should be a complete set of rigorous and well-organized argumentation process, it should be for practical problems, boldly put forward conjectures, carefully demonstrate, carefully summarize, and repeatedly verify." ”

"Arithmetic is a solid foundation for the development of all things, and arithmetic is the total economy of all talents."

"The arithmetic enlightenment written by Uncle Huang is like a folk sorcerer dancing to the sun that they don't know what it is, praying to God and worshiping Buddha in front of a clay statue and then burning a charm and drinking it, just like eating blood-stained steamed buns can cure tuberculosis."

"Uncle Huang, this is not the arithmetic I want, and it is not the arithmetic that the Ming Dynasty should have."

"Uncle Huang?"

Zhu Zaiyu hurriedly said: "The minister is here." ”

Zhu Yijun continued: "Uncle Huang's arithmetic enlightenment, not only is it not enlightenment, but it is easy to lead people astray, that is, he is teaching people to calculate like this, not to teach how to calculate the world corporal, let alone why to calculate like this, just like the rotten Confucians shouting the law of the ancestors, they are all teaching people how to do, but they don't teach people what to do, let alone why they do it." ”

"To be more clear, it is to know what it is, why it is, and why it is inevitable, and Uncle Huang's arithmetic enlightenment is only to know what it is, not why it is."

"I'm disappointed."

"Uncle Huang's arithmetic, even I, a twelve-year-old child, can learn it, is this a science?"

Zhu Zaiyu roared madly in his heart, little emperor, can you be like an ordinary person? Your arithmetic has long been turned into a realm, do you still use people to teach?

In the half-year arithmetic class, Zhu Zaiyu's whole person is numb, not so much that he is teaching the little emperor, but that the little emperor is teaching him, many problems, the emperor does not need him to teach at all, the little emperor can use the shadow length of the winter solstice table to measure the winter time to the accuracy of the carving, which is the same as he Zhu Zaiyu and Zhang Juzheng, they are all prodigies.

"Your Majesty, is there a possibility, that is, that the arithmetic compiled by the minister is just acceptable to our Ming students?" Zhu Zaiyu thought about it and put forward a hypothesis, it was not that there was a problem with his compilation, but that the emperor was too demanding? Overestimating the receptivity of Daming students.

In addition to the four books and five classics, the students of the Ming Dynasty do not read, and they do not even read the Ming Huidian, let alone this arithmetic, the reason why the students of the Ming Dynasty do not read arithmetic is because the Ming imperial examination does not take the Ming arithmetic subject, not only the Ming Dynasty does not take the exam, but even the Song Dynasty does not take the exam, the discipline of the Ming arithmetic is just a flash in the pan in the early Tang Dynasty, and at the end of the Tang Dynasty and the Five Dynasties and Ten Kingdoms, it is not tested at all.

It can be said that the arithmetic of the Central Plains Dynasty, after arithmetic was not included in the imperial examination, the development speed almost fell into a state of stagnation.

"What Uncle Huang said is reasonable." Zhu Yijun also nodded helplessly, his requirements are indeed a bit high, what he wants is arithmetic, but what Zhu Zaiyu gives is arithmetic, this gap between expectations and reality is the main contradiction between the emperor and the emperor's uncle.

"Your Majesty, should we let the students accept the arithmetic first? It's also great to be able to do the math. Feng Bao also said a fair word for Uncle Huang, not everyone is born with a prodigy, and not everyone can accept the concept of arithmetic as the total economy of the three talents and all things.

The road is taken step by step, and the rice is eaten one bite at a time.

Zhu Yijun thought for a while and said: "Uncle Huang's arithmetic, there is no mathematics, it is better to change it again." ”

"Your Majesty, Ge Shouli is asking for an audience outside the palace." A small yellow door hurriedly ran in and said.

"What is he doing here?" Zhu Yijun asked a little strangely: "Xuanlai." ”

Ge Shouli walked into the Wenhua Hall step by step with fifty-five books in his hand, put the books he brought on the ground, bowed respectfully five times and kowtowed, and said loudly: "Meet Your Majesty, long live Your Majesty, long live, long live." ”

Zhu Yijun looked at Ge Shouli and asked, "Ge Pingping, why did you come this time?" ”

Ge Shouli said with a smile: "The minister is relieved of His Majesty's worries, and the minister sees Yuan Fu Shen Old Chapter to learn politics to revitalize talents, and the great Situ degree is bypassed to pay the national tax calculation, and His Majesty's tax audit also seeks to calculate talents, and the minister has fifty-five volumes of treasure books, which says: "New Collection of Tokens Ancient and Modern Arithmetic Treasures". ”

"Oh? Present it. 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 hurriedly replied: "Arithmetic, the whole world, between public and private, indispensable for a day and the absence of a person, this book for the Chenghua period of the Jin merchant Wang Wensu written, mostly circulated in the Jin merchant home, convenient for trading, Yang Dazai has a copy in the house, the minister felt novel, at that time the minister for the household book, presided over the national tax book, copied a book for his own use, now heard that His Majesty and the prince of Zheng Wang for the arithmetic enlightenment confused, so this book dedication. ”

Zhu Yijun looked at the arithmetic treasure book in his hand, then looked at Ge Shouli and said with a smile: "It turned out to be from Yang Dazai, it's very good, Ge Gong has made a meritorious contribution to the book, what kind of reward?" ”

"His Majesty solves problems for His Majesty, does not ask for a reward, and the ministers are the imperial history of the left capital of the country, and they are in charge of the platform, but they can't be restrained.

"The suspicion and fear between the ministers and the lords arise from each other, the feelings are estranged, and there are many discussions, then the blessing of quiet and peace will not be enjoyed, and this minister deeply regrets it."

Zhu Yijun understood that Ge Shouli wanted to take himself out of the previous Huangji Gate Fuque matter.

Wu Zhongxing, Zhao Yongxian and others are all imperial historians, as the head of the ministers, it is difficult for people not to misunderstand that Ge Shouli is in the middle, and Ge Shouli is really wronged, so when he saw that the emperor, the emperor's uncle, and Yuan Fu were all troubled by arithmetic, Ge Shouli came with his "Treasure of Arithmetic".

Zhu Yijun pondered and then considered and said: "Ge Gong is wrong, I know Ge Gong's respectful heart, Ge Gong is the leader of the Jin Party and respects the power of the lord, today he offers a treasure book, enters the prince Shaobao, and Yin Yizi is a scholar in the middle of the book. ”

The wine is Zhu Yijun's own sweet potato roast, and the reward for 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 in the court, and he will be Ge Shaobao, although he is only an official.

"Thank you, Your Majesty." After Ge Shouli heard this, he thanked the Holy Grace again, fell to the ground, and said in a low voice: "Your Majesty, the minister... He is old and can no longer solve problems for His Majesty. ”

"Huh? Does Ge Gong want to be a minister? If Ge Gong is worried that the Kedao Yanguan is implicated in himself, there is no need to worry, I am not an unreasonable person, let alone Ge Gong, it is Yuanfu, the first emperor, and Shizong, who can control the Kedao Yanguan? A group of people who are famous for a while dare to resist the imperial court's decree are only for the selfishness of the family. Zhu Yijun thought that Ge Shouli was afraid of being implicated by Kechen Fuque, so he simply went straight to the official and hid quietly.

"Your Majesty, the minister is seventy years old this year, and he is already a rare old man." Ge Shouli said: "I'm really old. ”

"Ge Gong hurry up and speak, Ge Gong is seventy years old this year?! I look like I'm in my fifties, and Ge Gong is really good at health. Zhu Yijun looked at Ge Shouli with wide eyes, he looked at it for a long time, and he really didn't see Ge Shouli being seventy years old.

"Your Majesty." Ge Shouli said with a smile: "At this age, if you occupy a position and don't leave, it will be disgusted by people and disgusted by dogs, and they will be greedy and slanderous." ”

"Can Ge Gong be riddled with old diseases?" Zhu Yijun asked suspiciously.

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

"Isn't that the end of it? I want to see who dares to make a fuss about Ge Gong's age. Zhu Yijun heard that Ge Shouli was not sick, and said with a smile: "Ge Gong doesn't need to say much, don't mention this matter again." ”

Ge Shouli can be used, the Jin Party is in the hands of Ge Shouli, and it has taken on a new look, at this time Ge Shouli retired, that Zhang Siwei and Wang Chonggu immediately lost the competition within the party, how could Zhu Yijun make Zhang Siwei happy?

As Ge Shouli said, "The Treasure of Arithmetic" was published in the second year of Jiajing and was widely circulated among Jin merchants, didn't Zhang Siwei know? He is a little deferential, why don't he submit the "Treasure of Arithmetic" to the front of the emperor to solve the immediate priority of Daming, Zhang Siwei didn't, Ge Shouli came.

"Then the minister will continue to solve problems for His Majesty?" Ge Shouli thought for a while and said.

"Excellent, excellent, sweet potato burned, no... The wine in the national cellar has a high degree, and it is advisable for Ge Gong to drink it lightly. Zhu Yijun nodded with a sunny smile on his face.

This is Ge Shouli's temptation, through the dedication of books, to test whether he is a minister in the emperor's mind, whether he should get out of Mingzhe to protect his life.

But obviously, the little emperor is still very satisfied with Ge Shouli, Ge Shouli is the unique sour and rotten spirit of some scholars, but he is not a cheap Confucian, nor is he a corrupt Confucian, and now he has directly become a fun person, watching fun all day long.

As for the group of fierce and rebellious officials of the science and Taoism, Ge Shouli couldn't control it, not that Ge Shouli had a problem, but that the roots of the science and Taoism officials were rotten.

"Your Majesty, Mr. Yuanfu asks to see you outside the palace." Another small yellow door hurried in and gave the news.

"Xuan."

Zhang Juzheng also held a stack of books, walked in step by step, put the books on the ground, flicked his sleeves and said, "The minister greets Your Majesty, is Your Majesty safe?" ”

"Excuse me, Mr. is also here to present a book? What kind of book are you holding? Zhu Yijun looked at the dozen or so books that Zhang Juzheng was holding and asked curiously.

Zhang Juzheng bowed his head and said: "Back to Your Majesty, Cheng Dawei, a businessman in Huizhou Mansion in Nanzhili, wrote "Zhizhi Algorithm Tongzong", a total of seventeen volumes, since Gui Cao advocated a compilation of laws, the minister has been paying attention to arithmetic talents, and the minister has asked Shen Lao Zhang to learn politics, and his Majesty and the prince of Zheng Wang are trapped here, and they offer a treasure book. ”

Zhu Yijun read the book carefully, it is not strange that Zhang Juzheng dedicated the book, the old chapter of the old chapter was proposed by Zhang Juzheng, and he also added arithmetic, and the result was to promote arithmetic, there is no textbook, Zhang Juzheng naturally can't let the policy he implement is the flower in the mirror and the moon in the water, so he dedicated the book.

"I'm really full of talents." After Zhu Yijun looked at it briefly, he said with emotion.

Zhu Yijun smiled and asked, "What reward does Mr. want?" ”

"The minister's decree, the minister naturally wants to push the executive order, and the minister respectfully kowtows to the leader, and he is very grateful for Dai Tian's grace." Zhang Juzheng don't want to be rewarded, because His Majesty has already given a reward, from the edict to the elderly to send his parents to Beijing to be loyal and filial, to Liang Menglong's Jin Ge has no evasion of love, and then to Zhao Mengyou's inch by inch, out of thin air Lu Guangzu to seize the affair, this series of struggles are all the little emperor's decision, solving the huge political passivity of Zhang Juzheng's parents in the future.

What reward does Zhang Juzheng want for this kind of support? Doing a good job as the first assistant and implementing the new policy is Zhang Juzheng's greatest gratitude to Dai Tian's grace.

Zhu Yijun shook his head and said: "Mr. don't want it, I can't help but give it, Mr. has no reward for his merits, and the people of the world have seen it, doesn't it mean that I am thin and unkind?" Mr. has contributed to the book, and he has added a good product, so don't shirk it. ”

"Thank God." Zhang Juzheng thought about it again and again, and no longer resigned, his new policy is indeed good.

Zhu Yijun looked at the two piles of arithmetic and said, "Where is the author of the algorithm sect, Cheng Dawei?" ”

"Nanya Huizhou is doing business." Zhang Juzheng replied honestly that this book was sent to Beijing by Song Yangshan, the governor of the Heavenly Patrol, in order to cooperate with Zhang Juzheng's rectification of Xuezheng.

When Zhu Yijun heard this, he thought about it and said seriously: "Virtuous and virtuous in the wilderness, I don't cultivate benevolence, sir, such a talent, is it advisable to recommend returning to Beijing?" ”

There are virtuous people in the opposition, not in the court, this is the emperor does not cultivate virtue caused, this is the only way for the Confucians, since there is such a mathematician is still alive, naturally get the Beijing master to serve the dynasty.

"Obey." Zhang Juzheng bowed to the leader's order.

Zhang Juzheng looked at another pile of books and asked, "Is Ge Gong also here to offer books?" ”

"Coincidentally, is Motosuke also here to dedicate a book?" Ge Shouli said with a smile on his face, in the power of the lord, in this matter, Ge Shouli is still one step ahead, and he presented the treasure of arithmetic earlier than Zhang Juzheng.

"Your Majesty, the Ministry of Rites is still the secretary of Wan Shihe, and I ask to see you outside the palace." Another small yellow door hurried in.

"What day is this? All together? Zhu Yijun also said when he heard this: "Xuan." ”

Wan Shihe walked in with a few books in his hand, bowed five times and kowtowed three times and said, "The minister greets Your Majesty, is Your Majesty bowing to the Holy Peace?" ”

"An, excuse me, what book does Wanshangshu want to offer?" Zhu Yijun looked at Wan Shihe and asked a few books.

"Honglu Temple Qing Chen Society, collated and compiled the "Taixi Arithmetic" in six volumes." Wan Shihe handed the book to Zhang Hong and said very respectfully.

In Haojing and Luzon, the Ming Dynasty obtained a large number of books, and among these books, Chen learned to pick and choose, and after picking out all those scriptures, he selected the whole set of arithmetic and made a collation, compilation and translation.

Zhu Yijun opened it and looked at it for a long time, nodded and said: "Very good, Wan Shangshu has meritorious dedication to books, Yin Yizi is a member of the Zhongshu House, Chen Xuexue has been added to the official level, especially exceptions, and each person is given one hundred taels of silver, four tables of silk, five thousand banknotes, and five bottles of wine, so as to show that the translation and compilation are meritorious." ”

"Not bad." Zhu Yijun looked at so many masterpieces in his hand, all of this has to start from tinkering with the clairvoyant mirror, arithmetic, as the language of all things, has become more and more important, the emperor wants to learn arithmetic, and the officials of the empire will do their best to take out the works of arithmetic and let the emperor check it.

Zhu Yijun said with a smile: "Uncle Huang, copy a copy and start compiling "Arithmetic Enlightenment". ”

Zhu Yijun held the "Treasure of Arithmetic" in his hand, Wang Wensu's mathematical masterpiece compiled by Haoshou was only circulated in the hands of Jin merchants, as a tool for trading, which is really a pity.

In the Treasure Book of Arithmetic, there is a kind of thinking: a new set of tokens.

The token is a kind of review and demonstration of past mathematics, talking about why it is calculated this way, and the new set is to put forward its own conjectures on some problems, and carefully demonstrate and summarize through the token.

In line with Zhu Yijun's requirements for arithmetic, bold assumptions, careful argumentation, and inductive summary.

Zhu Yijun saw that the "Treasure of Arithmetic" studied the numerical solution of a one-dimensional higher-order equation, in this book, arithmetic is like a book from heaven, and the concepts of total A, Yu Shi, a cheap multiplication, total B, and Party B are indeed not easy to understand.

The emperor had a copy of "Taixi Arithmetic" at hand, which introduced "Algebra" published by Milan in the 29th year of Jiajing, which summarized the symbols of addition, subtraction, multiplication and division, and the use of algebra instead of unknowns, which would be easier to understand.

After reading the six volumes of "Algebra", Zhu Yijun realized that there was still no concept of decimal system in Taixi arithmetic at this time, and decimal fractions, decimal decimals, calculations and notations were lacking. (It wasn't until 1585 that the Dutch mathematician Steven's system introduced decimal fractions.) ）

However, in Zhu Yijun's mathematics textbook, the "Nine Chapters of Arithmetic" during the Wei, Jin, Southern and Northern Dynasties said: The nameless person who is a micro number thinks that the numerator is a numerator, and one of them retreats to ten as the mother, and then retreats to a hundred as the mother. When calculating compound interest in the Southern Song Dynasty's "Nine Chapters of the Book of Numbers", the great mathematician Qin Jiushao calculated the compound interest as: seventy-nine texts, three cents, four centimeters, eight millimeters, four silks, six hundreds, seven microswords, seven sands, three reckless, one light, two clear, and five smokes.

In fact, there is no actual unit below the text, and the slightest fraction of the slightest sand and light smoke is only calculated as interest.

Wang Wensu's numerical solution to the unary higher-order equation is very interesting.

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

Obviously, this approximate root is not approximate and accurate enough, why further approximation, let the error be u, that is to say, x=1/3+u, bring this approximate root into the original formula, (1/3+u)-3(1/3+u)+1=0, this equation is still a higher-order equation, how to solve it? Chop off the higher terms again, and get a formula 1/27+1/3u-1-3u+1=0, and the solution is: u=1/72, x=1/3+1/72=25/72.

Bringing in the approximate root of x=25/72, the left ≈ 0.00025, and it is obvious that 0.00025≠0 still has an error.

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

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

To find an approximate solution of f(x)=0, let x=a+b, and substitute it to obtain: f(a+b)=f(a)+kb+o(b), f(a) is a constant term that can be solved, o(b) is a higher order term that is not easy to calculate, cut it directly, and then obtain a unary one-dimensional equation to solve, only require a one-time term coefficient k, you can iteratively get the approximate solution of the equation, no matter how high the number of times this equation is, it can be infinitely approximated.

This K was called differential in later generations, and this iterative method of solving higher-order equations is actually more of a method of finding approximate solutions in the direction of application, but it is indeed an infinite cut of differential.

And after that? After that, there was none.

Even the results of Wang Wensu's decades of sitting in poverty were just a tool book for settling accounts in the hands of businessmen, and they were not widely circulated, and Ge Shouli took these fifty-five volumes of books to present them, just to solve some urgent needs without teaching materials.

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

Zhu Yijun looked at his large number of arithmetic masterpieces and knew that he was busy.

Zhu Zaiyu deleted some of the content of the disease method, pregnancy and men and women, and re-compiled the "Arithmetic Enlightenment", enlightenment is enlightenment, addition, subtraction, multiplication and division to solve equations, the level is roughly equivalent to the textbooks of primary school to junior high school in later generations, and the mathematics has been simplified, and the six-volume "Taixi Arithmetic" is very easy to understand for Zhu Zaiyu, and various mathematical symbols and algebraic thinking make mathematics concise and concise.

As for the higher-level arithmetic textbooks, Zhu Zaiyu can continue to compile them only after he has studied and understood the three masterpieces in his hand.

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

After seeing the excitement of a little emperor angrily reprimanding the ministers in Jingshi, Chen Lan took his three-body hydrofoil sailboat to the south again and headed towards Songjiang Mansion.

Chen Lan, who returned to Songjiang Mansion, needed to carry out the ocean test mission again, this time to Yuegang, to the Penghu Inspection Division, to Luzon, and this time, a total of seven hydrofoil sailing ships went to the Daming Luzon Governor's District, and Yin Zhengmao had been officially appointed as the Governor of Luzon.

This is not the first time that the Ming Dynasty has appointed the governor of Luzon, the first time that the governor of Luzon has been appointed in Yongle for three years, and Xu Chai Lao received the seal of the Ming Dynasty as the governor of Luzon, and he commanded the military, political, financial, and cultural powers.

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

The reason why Chen Ling wants to go to Luzon is to continue testing the hydrofoil, and the second is to determine whether the red hairy sailboat will arrive in Hong Kong as scheduled this year.

The Ming Dynasty needed silver, and a massive inflow of silver was needed to activate the commodity economy of the Ming Dynasty, increase the liquidity of the Ming Dynasty's commodities, and complete the national tax reform, but the Ming Dynasty stretched out a claw and brought the Spanish Viceroyalty of Luzon back under the command of the Ming Dynasty.

Spain needs a large number of goods provided by Daming to alleviate the contradiction of rising prices in China.

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

The concept of "Party B" in the "Treasure of Arithmetic" is still debated whether it is a derivative or not, Party B is indeed equal to the result of multiplying A by finding the first derivative, only from this point of view, we can indeed find the shadow of "derivative" in Wang Wensu's method, but it is also a shadow, "Treasure of Arithmetic" unary higher order equation solution, or a numerical solution of differential approximation of differential, written here, there are still some sighs and regrets. Ask for a monthly pass, woo!!!!

(End of chapter)