Verse 135, the shoulders of giants

"You...... It's too much to underestimate the ancients! Zhang Tao hated iron and said: "You think you have the knowledge and insight of later generations, so you look down on the things of your ancestors?" ”

Jiang Tian didn't know why he said this, although he did look down on the current level of science and technology in his heart, but he didn't underestimate the ancients, after all, he was a time-traveler, and there was no comparison with the scientists of this time and space. But Zhang Tao said so, and he didn't plan to argue, who let himself mess things up this time.

Emperor Zhang ignored him, but turned around and took out a piece of information from a pile of texts and threw it to Jiang Tian: "This is the artillery I asked Song Lao to study, can you see if it can be used?" ”

Jiang Tian knew that Song Yingxing was studying artillery, but he didn't know what kind of artillery he was studying, and he hadn't cared about this before, thinking that it was nothing more than some kind of bronze front-loading smoothbore gun, and he couldn't go anywhere. But when he took this information, he realized that he was naïve and ridiculous. It's not that this gun is advanced, in fact, this is still a front-loading smoothbore gun, but because of the improvement of metallurgical technology, the steel barrel is used and the inner chamber is hardened, which greatly reduces the overall weight of the gun, but this gun uses a short and thick barrel, with a simple high elevation angle gun carriage, it is very much like a mortar.

Zhang Tao didn't care whether Jiang Tian understood it or not, and said directly to himself: "Originally, I wanted to develop a front-line fast-loading curved artillery, similar to the Tiger Squat Cannon of the Ming Dynasty, which is nothing more than lighter after using steel." Later, because you created a compressed fire @ medicine, the power of the flowering bomb has been qualitatively improved, so Song Lao strongly proposed to develop a new ammunition, originally this work was going to be handed over to you, but it happened that you proposed a rocket artillery plan, and the old man didn't tell you. ”

There are more weapons in contact, Jiang Tian also has a certain amount of research on the artillery of this time and space, he immediately thought of the positioning of this kind of artillery in the original time and space, and it is easy to outline the improvement plan, as long as the shell is changed to a cast iron shell with a polished surface, the inside is filled with columnar compression, the bottom is replaced with fixed quick-ignition gunpowder, and the fuse is changed to a red phosphorus fire cap, then a standard ** is born, if the artillery firing pin is simply modified, and replaced with a screw rod control gun mount, then there is no problem with it for flat shooting, A similar mortar flat-firing technology was invented by Tubalu back then, and there was almost no difference except that it was much heavier than the mortars of later generations. And this kind of artillery can guarantee a range of at least 500 to 1,000 meters, which is completely sufficient in today's time and space, and because the price of artillery shells is lower than that of rockets, its consumption of military expenses is also much lower. Even if it is installed on a warship, due to the fast rate of fire and adjustable ballistics, it can also form a fire suppression effect, and it also eliminates the need for complex rocket launch nests, and the only drawback is that the training of gunners is not easy. Jiang Tian realized that he had walked into some kind of misunderstanding, and his head full of lofty ideas finally backfired, and it was precisely Zhang Tao, a person who had been on the battlefield and also knew weapons, that could think of such a simple and easy method, and what seemed to be rustic could play a better role, far more practical than his own overly sophisticated rocket. Zhang Tao saw that he seemed to have figured it out, so he didn't stimulate this fellow anymore, but just gave the task of developing @ kill @ injury @ explosion @ break @ type, and at the same time told Jiang Tian that Old Man Song generously changed the inventor of the mortar to him.

Even Jiang Tian himself didn't know how he got out of the palace, and today was a bit of a big stimulus to him, thinking of the smokeless fire @ medicine that was being intensified, he knew that this would trigger a revolution in the barrel of artillery. Not only that, but even the entire mode of warfare will produce immeasurable changes, which is of course a good thing for China, but it is a great irony for himself, a pretentious scientific researcher, who has always thought that he would lead this change, but in the end, history still chose a simple and practical route, rejecting his own leapfrog development. Is it really like what Zhang Tao said, that he underestimated the ancients too much? Standing at the gate of the palace, Jiang Tian muttered repeatedly for a long time, and then decided to go to the Song Mansion to visit Old Man Song immediately.

Jiang Tian visited, and the subordinates of the Song Mansion naturally did not dare to slack off, but Song Yingxing was not in the mansion, not even Song Yi, so he had to wait in the study first. After two cups of tea, he was bored and looked at the books on the shelf, it didn't matter, Jiang Tian's expression, which was still very casual, gradually became solemn. What is this book? Actually, there is nothing special about it, it is just a manuscript that introduces the twelve equal laws of music, what is the twelve equal laws? This is an algorithm invented by Zhu Zaiyu, a commoner prince of the Ming Dynasty, which has triggered a revolutionary role in music, without which the European Renaissance is not complete, and without it, people's interpretation of music is not as colorful as later, but in the final analysis, this is a simple arithmetic problem - how to use 2 to open 12 times!

Seeing this, Jiang Tian's cold sweat came down, which is completely inconsistent with the ancient Chinese science that he did not seek to understand, and even did not coincide with the history of science in the world, many people said that the great development of science in China was due to the stagnation of mathematics, but this reality fully illustrates the development of ancient Chinese mathematics. But how did Zhu Jaeyu come up with it? Or how was abacus liberalism born? There is no clear indication in this booklet. So Jiang Tian was unwilling, anyway, the old man Song hadn't come back yet, so he looked for books about arithmetic in his collection, and this search directly gave birth to a very important event in this time and space - the confluence of the Jiang family! It is the confluence of geometry and algebra, which later generations regarded as the beginning of the birth of higher mathematics.

At this time, Jiang Tian was completely immersed in the study of Chinese mathematics, and it was not until the sky was dark that he could not see the handwriting clearly, so he raised his head and rubbed his eyes. Then I found that Old Man Song had come back a long time ago, and he was sitting in the study with a book and looking at it for a long time. Jiang Tian stood up embarrassedly, looked at the pile of reference materials spread out on the desk, walked up to Song Yingxing with a smile and took a deep look: "The kid is rude!" ”

Song Yingxing nodded, and looked at the messed up bookshelf again: "Seeing that you are immersed in it, I can't bother it, but do you have any experience?" ”

"Late ......" Jiang Tian didn't know what to say, so he could only slam to the ground again, and if he said too much at the moment, he would only appear to be very ignorant, and he was really ignorant.

Old man Song still nodded: "Since it is helpful to you, I happen to have some books here, so you can take them together!" ”

In the following days, Jiang Tian fell into a state of frenzy, Song Yingxing's collection of books naturally would not be a few or a dozen books, Song Yi was ordered by his grandfather to give Jiang Tian all the books on arithmetic in the family, a total of more than 300 books in a carriage. Song Yi categorized it simply, some of which were theoretical, and some were similar to research notes or exercise books, while Jiang Tian didn't care about reading them first, anyway, it was about to be winter vacation, and he didn't have anything to worry about.

I don't know if I don't see this, but it really startled Jiang Tian when I saw it. Who said that ancient Chinese science was underdeveloped, and mathematics, as the mother of a qiē science, had developed a complete elementary algebra before the Ming Dynasty in China! And summed up a bunch of efficient and practical mathematical formulas, such as the well-known nine-nine multiplication table for Chinese, which is the most classic representative. Someone might be dismissive of something so simple, but is that also advanced math? If you have this question, you may wish to think about it, how to pronounce the simple multiplication formula if it were changed to English? oneonegetone、twotwogetfour…… What about ninety-nine-eighty-one? For mathematics, Chinese has an innate advantage.

If that's all it takes, it's not worth making a fuss, Jiang Tian put the mathematical knowledge he mastered in later generations into ancient mathematics, and then found that the ancient Chinese actually developed a mathematical system that shocked the whole world at a very early age, while Europe only made achievements in geometry, after all, the points and lines of the plane are more intuitive, so it is a bit difficult for them to think abstractly about various numbers. And the reason why ancient Chinese mathematics does not have as many mathematical laws, theorems and other things that sound very bluffing in Europe, in addition to not being as cheeky as Europeans in character, is mainly because the starting point of scientific research in China and Europe is different, most of the scientists in ancient China consider it from a practical point of view, and they study mathematics completely to solve problems in life, such as calculating precise rhythms with prescriptions. The Europeans began with a theory of what they thought was superior, but they got stuck after making it indecent, and then there was a wave of learning from the East to the West during the Renaissance, and various practical sciences from China were introduced to the West and solved their various questions about the basic problems, and then there was a scientific explosion in the 18th century. However, after receiving the benefits, these shameless people completely denied the doctrine of the East, and shamelessly called their own invention and creation, which shows that for China in this era, the role of Europe is a bit like that of Korea in later generations.

Some people may disagree, but the progress of mathematics in the West can be counted from the advent of calculus, which laid the foundation of modern higher mathematics. Although there is debate about the inventor of calculus, it is undeniable that the Europeans finally broke through the bottleneck of algebra and finally established modern mathematics. Jiang Tian used to hold this view, but when he began to study these ancient books, he found that he was simply wrong, since the Chinese can calculate pi to so many decimal places very early, how can they know nothing about geometry and higher algebra? And the reason why calculus was not born in China is because it is not needed at all!

For those who are interested and have some knowledge of mathematics, please note that the following terms and concepts may subvert some people's preconceived notions of mathematics. Jiang Tian found that in the actual production and life, the application of calculus is quite extensive, since China established advanced science and technology earlier than Europe, it is impossible to leave the precise and complex mathematical calculations, and because the ancient Chinese scientists were very good at summarizing empirical calculation formulas, so in ordinary use are generally used to use various formulas summarized by predecessors, so there are not so many theorems named after people. Since China does not have a complete geometry, how to solve geometric problems when encountered? The answer is that the ancients solved most of the problems with the following three theorems: the numerical difference method (Taylor expansion), the Pythagorean theorem, and the great derivation method (solving the congruence problem)! The ancient Chinese used triangulation to expand various plane or three-dimensional geometry problems, dismantling complex geometry into right-angled triangles, and then substituting the Pythagorean theorem to solve them...... Isn't it like the complex plane geometry in elementary school, where you are given the necessary verification conditions and then asked to calculate the value of a certain area or an edge? In fact, the reason why China's education system is different from Europe and the United States is largely related to the inheritance of this pragmatism, and recall that most of the curriculum from primary to secondary school is to teach students how to use various formulas, without thinking about how the formulas came about. Because that's more advanced knowledge that is taught when needed.

Arithmetic counts! In the Chinese scientific system, arithmetic and arithmetic are two kinds of things, which are the process of derivation, and the art is the final formula theorem, as long as the descendants master the art, there is no need to know how it is derived, just like modern people can operate computers, but not everyone needs to know how the computer language is written. The core of modern mathematics in the West is function, but function is the promotion of geometry, China did not study complete geometry, because we used Yang Hui triangle to replace the role of function early, so calculus not only appeared in China, but also was widely used than the European contemporaries. On this basis, there was the dual development of technology and culture, and China not only invented musical instruments (there is archaeological evidence), but also used mathematics to promote music to the top. Jiang Tian couldn't help but wonder if the Manchu Qing Dynasty had not entered the customs at that time, or had not learned from the East to the West, would China have been able to develop a mathematical system that is very different from that of the West? The answer is obvious, in the late Ming and early Qing dynasties, there have been many works of Western geometry into China, with the ability of our ancestors to create, this mathematics may have to change its appearance.

At this point, Jiang Tian didn't dare to have a trace of disrespect for ancient Chinese scientists, he found that this statement of underestimating the ancients was too tactful, he was simply ignorant and fearless, what is ability? The ability to reduce complex problems to simple problems is called ability. Although he has more and more comprehensive scientific knowledge, it is simply ridiculous compared to the great wisdom of the ancients. China can develop advanced science without Europe, but it will be slower at best. But Europe left China...... Hehe......

Carefully closing these precious books, Jiang Tian looked up to the sky and sighed, Manchu, why are you so unlucky? Could it really be that the Hu people have no luck for a hundred years? Even if you are guaranteed to protect your country, but you have exhausted China's accumulation in science and technology, you will still not be able to escape the fate of infamy in the end! Or is it precisely because of the emergence of a first-class scientist like Kangxi, who was afraid of the great wisdom of the Chinese nation, that deliberately stifled the hope of scientific and technological progress? Of course, this was only Jiang Tian's idea of righteous indignation, but the real situation is that in the 18th century, due to the large-scale spread of Chinese people-oriented thought and atheism, the great fear of the Holy See was forced to interrupt academic exchanges with China, so that the Chinese scientific community could not learn from the rapid development of European science, and finally fell behind the times. This can be found in the accusations of the various masters of thought in the late Renaissance in Europe.

On the twenty-ninth day of the Lunar New Year, the atmosphere of the festival on the street was already very strong, a carriage was speeding through the snow, and the guards guarding the imperial city saw the car early, but they did not dare to stop and interrogate, because Lord Jiang, who everyone knew, jumped out of the car with an ivory palace waist card, and shouted while running: "100,000 people are urgent, I want to face you!" ”

Although the guards didn't dare to stop him, some people had already run back to report, none of them had ever seen the always elegant Lord Jiang so sloppy, his unkempt hair seemed to have not been washed for a long time, his beard had grown half an inch, although his clothes were quite neat, but he smelled a foul smell from a distance, he must have not taken a bath for a long time. No one knows what happened, can the Chinese literati who pay attention to cultivation and cultivation panic like this, could it be that the invasion of foreign invaders has already arrived in the city?

Zhang Tao was also a little dumbfounded when he looked at Jiang Tian's appearance, thinking that you finally threw the basic etiquette out of the clouds: "What are you doing?" I heard that you have a cart of books from Song Lao, and you have been reading books with a dull head for the past few days, and you are stupid? ”

Jiang Tian, who was bearded and unkempt and looked like a sharp brother, nodded: "Look stupid!" But before I'm stupid, you must ban a single scientific book from leaving the country! ”

The two of them had a heated discussion on the issue of "forbidden books" in the imperial study, and neither of them left the room for a whole day. The whole day here is really twenty-four hours, from the morning of the twenty-ninth day of the new year to the morning of the Chinese New Year's Eve, in addition to delivering food, the eunuchs only sent a bucket of bath water in, which means that Jiang Tian discussed with the emperor while taking a bath in the imperial study! I'm afraid this treatment is unprecedented, and those who know a little bit of the inside story can only sigh, it seems that the matter reported by Lord Jiang is too important, so that although His Majesty can't stand his body odor, he also wants to let him report while taking a bath, which makes people even more interested What is so important? Until the next day, the exhausted Jiang was carried back to his house to sleep. At that time, no one knew what these two people said, and due to the sensitive political environment at that time, many people thought that this was a signal that the emperor intended to solve some problems by force, and a group of people did not get well for many years. However, the customs soon received a new order, that is, the export goods are temporarily prohibited from leaving the customs, and at the same time, the luggage of missionaries and others is required to be checked, and any books other than the Bible must be filed for examination, and all scientific and technological content will be confiscated!

Many people were confused about this and couldn't understand what the emperor and Jiang Tian wanted to do, but fortunately, this order had almost no impact on the people, so after being nervous for a while, everyone relaxed and was in a good mood for the New Year. It's just that later generations didn't know the relationship between Jiang Tian and the ban, thinking that this was the result of Zhang Tao's own assertion after listening to the report, so they didn't put the charge of stifling the spread of knowledge on his head. Jiang Tian's madness into the palace was named Daigo Empowerment by historians, and its academic importance surpassed that of Yangming Gezhu, and it was claimed that the greatest scientific master was officially born at this moment......

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I would like to dedicate this article to the motherland, and let those who have nothing to do and like to complain about their ancestors take a good look.