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To be honest, I'm not a fast hand, I can only write 500 to 1,000 words an hour, and I use up almost all my free time every day, which is really a tragedy, and sometimes I think about it or it's comfortable to be a reader. And you may be guilty of obsessive-compulsive disorder, and you always have to check it several times after writing a chapter, otherwise you will feel extremely uneasy in your heart. What I ask of myself is to do my best, and I have no regrets or regrets after writing.

……

John Tong began to work with the priests, all of whom had rich knowledge of mathematics, physics, astronomy, etc., and most of the questions were not difficult for them.

However, there is one thing that makes them have a headache, how to translate Chinese into Western terms that they understand, especially the breadth and profundity of Chinese, often with multiple meanings, such as this question: "Measure the depth of the well with a rope, measure it with three folds of the rope, four feet of the remaining rope outside the well, fold the rope four to measure, and ask how many feet is the depth of the well and the length of the rope?" ”

Although all the priests know that this is a one-dimensional equation problem, but "measure it by three folds or four folds of a rope", do you mean one-third, one-quarter, or thirty percent, forty percent, etc.? It seems to make sense no matter how you think about it.

These gave them a headache, so they had to try to bring into the thinking of the Chinese, specially selected a priest who was proficient in sinology to review and translate, and then the rest answered the questions.

Moreover, although Tang Ruowang and others were very knowledgeable, Chinese mathematics at this time did not lag behind the West, and even exceeded some aspects, such as the congruence arithmetic problem involving "things do not know the number": "There is one number, three or three numbers and the remaining two." The remaining three of the five and five numbers, and the remaining two of the seven and seven numbers, ask what is this number? ”

The priests showed their skills, the algorithms were complicated, and they didn't solve it for a long time, but a priest used China's "Great Yan Seeking a Technique" to calculate it first. Looking at the answer on paper, he sighed: "The great Chinese remainder theorem, Qin Jiushao is one of the greatest mathematicians of this country, this nation, that era, and indeed of all eras. ”

The priests held quill pens. Staring intently at the answers on his paper. The above formulas and calculations are so pleasing to the eye, and they are concise and fast, and the data obtained is accurate and concise, which is breathtaking.

One priest also exclaimed: "It is difficult to understand a country that does not pay attention to logic. There will be such a wonderful way to calculate. Father, you're right. The Chinese mathematicians who discovered this method were the luckiest geniuses. ”

John Tong said, "Priests. Every civilization has its own wisdom, and we should not be jealous and slanderous, but strive to absorb their essence. Become one of our Europa wisdoms. ”

Everyone stabilized their minds and continued to calculate, the following is a geometry problem, which is not difficult for the priests, the key is the terminology, such as what is called Gendi, what is Xundi, and what is Kundi, so that everyone argues. John Tong wiped the sweat from his forehead and said, "Priests, we must continue to deepen our understanding of the language and culture of this country. ”

I don't know how long it took, and finally finished the previous arithmetic problems, and with the skills of Tang Ruowang and others, I also felt exhausted, mainly because I was tired of reviewing the questions. In the end, they looked at the Wang math problem at the same time, and then they all felt dizzy, and even the priest had the urge to run away.

John Tang took a deep breath: "Okay, gentlemen...... Priests, we have finally reached our goal, let us first examine the matter. ”

He said: "There are generals in the Jingbian army who are good at using guns, and there are generals who are good at using artillery, and the talented people are piled up with wild geese, and the bigger the stack, the higher the accumulation...... How to interpret this sentence? Father Luther, you are proficient in Sinology, and you will review and explain the problem. ”

Father Luther frowned: "Literally, it means that the Marquis has a famous general who is good at using arquebuses, and a general named Xuan who is good at using breech three-pounder guns. This general, called Xiancai, shoots a swan every day and piles it in a pile...... Jehovah Almighty, what kind of bird is this 'eagle'? I can only guess that it's a type of swan. ”

A priest interjected: "Father Luther, are you sure that the general is an arquebus, and the general named Xuan is a breech-loading three-pounder gun?" Whether they used arquebuses or flintlock guns, three-pounder guns or six-pounder guns, it was critical. ”

Seeing that everyone was about to argue again, John Tang waved his hand to stop it: "Priests, let Father Luther finish the question first, and then we will carefully go back and discuss it." ”

He motioned for Father Luther to continue, and the room was quiet for ten minutes after the priest stumbled over the question, and Father Luther was still rubbing his temples, he somewhat understood why some scholars in Xuanfu Town vomited blood, and he now had the urge to squirt blood.

John Tang coughed lightly: "Okay priests, let's analyze it...... Father Locke, you come and draw. ”

John Tong said: "Judging from the title, it seems to involve the limit of the cone, infinite, and infinitesimal. I remember that the ancient Greek wise man Antiphon mentioned the exhaustion method, which specifically discussed this problem, and the Chinese circumcision technique, which also had a similar concept. But I always felt that the mathematical methods used in the Chinese and Western countries mentioned above were still not enough to answer the questions of the Marquis, because the methods they used were static in nature. ”

One of the missionaries said: "Yes priest, looking at this sentence 'Xuan cannon', it seems that there is also a talk of the motion of objects, involving circles, ellipses, parabolas, hyperbolas, etc., as well as the relationship between their motions, and so on. Galileo the Wise discovered that objects move along a parabola, and Mr. Kepler also discovered that planets orbit in elliptical orbits around the sun. The sun, on the other hand, is at one of the focal points of this ellipse. There seems to be some subtle similarity to this math problem. ”

One of the preacher said: "Yes, you are right, it's just that the motion of an object, which concerns in particular the motion of a conic curve, is very complicated to calculate. Apollo. The wise man Neos once mentioned the concepts of ellipse, parabola, and hyperbola in his work "Conic Curve", but many of them are purely conceptual explorations. Archimedes had calculated the area inside a parabolic bow, but it was not enough to solve the difficult mathematical problem at hand. ”

Another priest said: "Attention Fathers, this question is far from that simple. According to my speculation, this cone is infinitely large and infinitely small, and under the setting, it is still in constant motion. We've done geometry problems before, and they're all static. Dynamic, where to start? How to find the formula for the base area and volume of such a limit cone? How should the height be derived? How to calculate the infinitesimal taper tip? ”

He said, "...... No, 'only the upper four sides are not flat and concave, and the more you multiply, the more concave it becomes,' Lord, the sides of this cone are still moving...... And parabola. The trajectory of the cannon's chamber. There are different ways to calculate it from different angles. How to calculate the area between the shells before they reach the cone? When a shell hits a cone, what is the relationship between the surface of the projectile and the object? The shell hit the cone, and then pierced out again. What kind of ballistic volume do they form? ”

He exclaimed, "Oh. It's horrible...... Priest. We are far from understaffed. ”

Cold sweat broke out on John Tong's forehead, and he said, "Calm down, priests. There is always a way around it. ”

He said: "In this ancient country, there is a saying: no accumulation of steps, no thousands of miles, we start from the first step, first draw a picture......

This calculation made John Tang and others count from near noon to evening, and John Tang and others couldn't even take care of lunch, and kept their heads buried in the huge geometric patterns.

They first used the exhaustion method to calculate the static geometry, and then tried to use Menekmuse's method to solve the conic curve to turn it into dynamic, but John Tang and others found in despair that the workload was too large, not to mention ten years, a hundred years, at least one year in a row, it is also a common thing.

The continuous racking of his brains and high-intensity calculations made Tang Ruowang's face pale, and he muttered: "You have to find an entry point to unify everything, but where is the entry point?" ”

Late at night, under the oil lamp, John Tang was still standing in a daze, he looked at the starry sky outside, and said to himself: "Where is the entry point?" ”

The priests beside him are also depressed, all of them have straight eyes, they have tried all methods, but they still can't find the door, this topic, unless the use of crowd tactics, there may be a little clue...... At this time, they somewhat understood the pain of Guozijian and other students, this question is really perverted.

Father Luther staggered to his feet, using his brain too much to make him dizzy. He saw that John Tang was motionless and had been standing for a long time, he stepped forward and said with concern: "Priest, you have been thinking for a long time, you must rest. ”

At this moment, suddenly John Tong's body fell straight down, and Father Luther hurriedly stepped forward, held John Tang up, and shouted, "Priest, priest, what's wrong with you...... O Lord Almighty......"

There was also an exclamation in the room, and all the priests gathered around, and John Tang said weakly: "Priests, don't worry, I don't have anything to ......."

He closed his eyes with a sigh and opened them for a long, long time: "Send this newspaper to the church...... I keenly anticipate that this math problem will play a pivotal role in changing the course of civilization...... The torrent of the times, we ......"

……

A day later, in the palace, Princess Zhu Yujiao of Kunxing sat in front of an elegantly shaped desk, at this time she was lying on the desk and calculating something, her figure had become more and more slender, her hair was tied in a bun, and the upper end of the fiery red sable fur was exposed, and her neck was exposed.

Beside her, Princess Zhaoren, who was only a few years old, kicked her calves boredly, and looked at Zhu Yujiao's back from time to time and pouted: "Bad sister, don't play with me for a few days." ”

……

Shengjing, Chongzheng Palace.

Emperor Xuantong Dolgon paced with his hands behind his back, holding a copy of the Xuanfu Times in his hand, and said to himself: "What is the meaning of Wang Dou's move? ”

The Qing State had already decided to attack Japan soon and plunder the population and materials, of course, the failure of the Yuan attack on Japan at that time also made Dolgon feel uneasy, so let Abatai in Korea understand it carefully, and also asked Shi Ningwan and others of Hongbunyuan University to look through the historical books to find out the reason.

Yi Abatai and others understood the defeat of the Yuan attack on Japan at that time, and found that the monsoon was still secondary, the most important thing was that the warships were extremely backward at that time, and the quality was very poor, the keel rivets were too dense, the hull plates were still lapped, and many were still river boats, so they were easy to break under the crash of the huge waves.

At that time, the Korean people were passive workers, which was an important reason, so Dolgon decided to improve the treatment of the Korean Eight Banners, and the Koreans who plundered with the army could also get the spoils of war.

Sure enough, Qingguo's move successfully diverted the attention of the brutally oppressed Korean people. After all, the conflict between the DPRK and Japan has been going on for a long time, and many Koreans are still tempted to attack Japan, and they can also obtain their own slave population, gold and silver wealth.

Unable to resist the Qing state, they vented their anger on their enemies, and many Koreans, even more active than the Manchurians.

Moreover, the Qing army only imitated the "Daoyi" ancestors to plunder, and crossed the sea from the Tsushima Strait. The danger was also less than that of Meng Yuan at that time. Dolgon's attitude was also to test first. The first batch of Banner Coalition Army, with less than 10,000 people, is damaged, and it will not hurt the muscles and bones.

Just in the midst of intense preparations. Dorgon gets the paper.

Hongbunyuan University Shi Ningwan and I didn't care. The number of words and books is just a small way. The sage said that righteousness is orthodox, and persuaded the emperor not to care too much, Dolgon shook his head: "Wang Dou's every step has a deep meaning. I can't take it lightly. ”

He instructed Ning Wan and the others: "Solve this problem first." ”

……

Xi'an, Shaanxi, Governor's Residence.

Sun Chuanting also saw the newspaper, recently he strictly pursued the taxes owed by the gentry in the past, and killed those who dared to make trouble, killed those who were closed, and the thunderbolts were ruthless, and the local area in Shaanxi was "crying and shaking the sky". Not to mention the local shock, it was the imperial court that learned that Sun Chuanting was sending, and many people were stunned, what was Sun Baigu doing?

In the face of the external attack and impeachment, Sun Chuanting was unmoved, and the money and food he obtained were continuously invested in the recruitment of the new army and the reclamation of Tuntian.

Then he saw the content of the newspaper, and counted Wang Dou's math problem for a few days with high interest, and the staff advised that the number of books is just a small road, and now Shaanxi is a critical time, Sun Du must not be distracted by this, Sun Chuanting just shook his head: "The government of a country lies in money and grain, the way of money and grain lies in arithmetic, and the number of books is not a small road, but a road." ”

Of course, he also knew that the situation in Shaanxi was at a critical time, and compared with his overall situation, this "Wang's arithmetic problem" was indeed a trivial matter, and he soon threw this matter out of the clouds.

……

With the arrival of the newspaper, this "Wang's arithmetic problem" stirred up a huge wave, and when it reached the south of the Yangtze River, Nanjing Guozijian was as sensational, after all, the emperor personally issued an order, but the Jingshi Guozijian was powerless, which inevitably aroused the competitiveness of the Nanjing prisoners.

It's just a pity that they all returned home, and when the news came out, more and more people in Jiangnan became interested in this "Wang's arithmetic". At the same time, the image of Wang Dou is becoming more and more mysterious in the hearts of many people, as if it is covered with a hazy veil, in addition to the warrior and the good government, he also brings the image of a wise man.

In the end, this "Wang's arithmetic problem" went overseas, spread in many countries, and all kinds of stirred up trends were not expected by Wang Dou.

For Wang Dou, it is normal for people in this era not to be able to do this question, that is, Tang Ruowang and other Western missionaries returned with the news in their hands, and Wang Dou also smiled indifferently.

It is also impossible for them to make it, after all, this math problem has the idea of analytic geometry and calculus.

Although the French mathematician Descartes published the appendix to "Geometry" in the tenth year of Chongzhen, put forward the idea of analytic geometry, and had the idea of calculating dynamic geometry, it was actually a hazy idea of analytic geometry, and it was not until the middle of this century that it was really to be perfected.

Moreover, John Tang and others came to China during the Wanli period, how could they know the latest developments of Descartes?

As for calculus, it is already close to the next century, and it is even more gone.

At the same time, it is also a watershed for Chinese and Western mathematics, which has been on a par with the West before, and even surpassed it in some places. After analytic geometry, Eastern mathematics lagged behind the West, not to mention calculus.

And the most important point is that the coordinates are established, and everything is unified, so that there is a possibility of calculation.

Wang Dou designed this math problem to attract the attention of all scholars and make them pay attention to mathematics, after all, mathematics is the foundation of everything, and let them try logical reasoning, and finally establish a rigorous and unique oriental mathematical system.

Moreover, the problem set up a strange elf, which contains a lot of content, even ballistics, parabola, gravitation, etc., if you can study and solve the problem step by step, and even find the first step to establish the coordinates, Daming's mathematics and achievements in all aspects will be incomparably improved.

I hope that after this problem is solved, a large number of masters of mathematics will be born in this land of China, and even masters of physics, chemistry, astronomy, and so on.

After the official examination, the shogunate also selected a large number of talents needed by Xuanfu Town according to the standard answers, Huang Bowen, Liu Dongyang, and three scholars, who were specially recruited into the university and prepared to enter the normal university that will be established.

One by one, they have also obtained the status of "trainee researchers", and their task is also to continue to study "Wang's arithmetic".

Zhao Zhongju really didn't pass the exam, he stayed in Xuanfu Town and entered a primary school to teach Mandarin and calligraphy classes to junior students. His wife opened a tofu stall near the school, which grew into a shop because of its good business.

His daughter, Xiao'er, entered a girls' school.

The family lives a peaceful and happy life, and in the turbulent torrent of Xuanfu Town, they are also one of the waves that gathers the waves.

……

After the leap month is the wax month, in the next time, Wang Dou will continue to be busy, the New Year is spring, Mo Nan will carry out large-scale construction, everything must be prepared in place. After the first batch of officials are recruited, they must also enter the academy for further study for a period of time, which is also what Wang Dou needs to pay attention to.

Suddenly, under the wax moon, the New Year will be celebrated in two days, Xuanfu Town is full of joy, and the atmosphere of the New Year is spreading. Wang Dou also relaxed and concentrated on accompanying his family at home, he has been busy with government affairs recently, and he has neglected his family, especially the children, which makes Wang Dou feel a little guilty.

However, Wang Dou was surprised to find that Ji Junjiao and others were also busy with something, and when he asked, he learned that Ji Junjiao was preparing a bookstore to sort out books in all aspects, such as literature, mathematics, music, art, etc., and planned to open it to the society.

When she said it, Ji Junjiao was still a little worried about Wang Dou's opinion: "Will the husband think that the concubine is not doing her job?" ”

Wang Dou said with a smile: "How can it be, this is a good thing for the benefit of the people, what my wife has done, it is a grand event that will benefit thousands of generations and benefit all generations." ”

He looked at Ji Junjiao, and was originally a little worried that she would have some thoughts after she was named Mrs. Yipin, but seeing that she still respected Xie Xiuniang, he was also relieved, and felt that it was good for her to find something serious to do, this library was good, elegant and tasteful, and it also benefited the people.

He muttered, "I think you have the name of this library...... Let's call it a library. ”

Ji Junjiao was very happy to be told by Wang Dou, she kissed Wang Dou, and said with a smile: "My man just can talk." ”

She talked about her dream with great interest, to sort out Quan Daming's books, especially books on music, and her goal was to be a generation of female writers Ban Zhao.

Wang Dou said: "What my wife did is a good thing, but don't be tired." ”

Ji Junjiao said with a smile: "The husband is a great hero, and the concubine can't be left behind." ”

There is also Liu Qing, Liu Ji also said to Wang Dou shyly that he wanted to set up a school to provide education for adults, so that they can get a graduation certificate after graduation and find a better way out, Wang Dou was very happy, he said: "Support you for your husband and become a noble people's teacher." ”

That night, the family had a festive reunion dinner, during which several children climbed up and down on Wang Dou, especially Liu Qingsheng's daughter Wang Yao, who was lively and cute, and constantly coquettish to Wang Dou. All children have a characteristic, they are afraid of their mothers and like to be close to their fathers, which is also the reason why Wang Dou loves his children in his bones.

That night, Wang Dou was slightly drunk, he looked at the bright starry sky outside, the Qing soldiers in November of this year did not happen, his arrival changed the fate of many people, the people of Shandong, also spared this military disaster, countless people were able to no longer be separated from their wives, and their families were ruined.

This is also where he is proud, hoping that his arrival can change the fate of more people.

In the first month of the sixteenth year of Chongzhen, Wang Dou went to Guihua City. (To be continued.) )