Li Chun arranged the classroom discipline, and then said to Li Yu: "Thank you, sir."
Li Yu walked up to the podium, put the German textbook on the desk, and said, "I don't need to introduce myself anymore. I wonder what stage you have learned?"
Squad leader Wu Peifu said: "Instructor, the previous instructor has already talked about a function called normal distribution in error analysis in battlefield surveying and mapping."
"Okay, thank you classmate Wu."
Li Yu was a little embarrassed, and it always felt weird to call Wu Peifu "classmate", although he was indeed a classmate now.
Li Yu opened the textbook and found an entire chapter on the normal distribution.
For battlefield surveying and mapping, error analysis is indeed very important, so it not only talks about the normal distribution model, but also includes the intermediate error, limit error, Bessel's formula and many other contents.
Li Yu asked again: "Did the previous teacher just start talking about normal distribution?"
Wu Peifu sat upright on the chair: "Yes, teach me."
Li Yu glanced at Sun Chuanfang in the middle and remembered that he had just entered the surveying and mapping class, so he asked: "Can Mr. Sun keep up with the progress?"
Sun Chuanfang said: "Don't worry, Professor. I didn't sleep all night last night. I have learned the latest chapters and previewed the normal distribution. But there are many questions that are not clear yet."
Well, I really didn’t expect that a great warlord would love learning so much. It’s incredible.
"Xiao Sun loves learning so much, which is very worthy of praise."
Li Yu is now in his early 20s, so he is indeed older than Sun Chuanfang, who is only seventeen years old now. So it doesn't seem inappropriate to call him "Classmate Xiao Sun", but it feels weird to accept it at first.
"Then let's start with the normal distribution function."
Li Yu is no stranger to the normal distribution function. After all, it is a subject that must be learned in middle school. Moreover, the analysis of errors in undergraduate mechanical design is much more precise than battlefield surveying and mapping.
Whether it is the early 20th century or the 21st century, error control is actually a very valuable technology, related to the advancement of many processes. In this regard, Japan and some Nordic countries have done extremely well.
He didn't need to read too many textbooks. The normal distribution was already familiar to him. Li Yu drew the image of the normal distribution function on the blackboard, wrote down the formula, and then listed the important properties one by one.
These methods he used were very common teaching methods a hundred years later, but for now, they are actually an advanced teaching model. The content written on the blackboard is much more flexible and concise than the German textbooks.
If you follow the dozens of pages in the book and explain it mechanically, I'm afraid you won't be able to finish it in three days.
Nowadays, German education is still relatively rigid, or even education is too militarized. Otherwise, Einstein would not have got tired of German middle schools and went to Switzerland to study.
Since Beiyang is learning from the West, Li Yu does not need to use A, B, C, and D instead of letters when giving lectures to them. He can directly use abcd and mathematical symbols to represent them.
After a morning of classes, Li Yu had clearly explained the various properties of the normal distribution function, and also expanded on the more complex normal distribution function itself.
It is enough for the course of battlefield surveying and mapping.
Li Yu put down the chalk and said, "I think today's class is over. If you have any questions, you can ask them."
Wu Peifu had listened carefully and taken notes, and was the first to raise his hand, "Excuse me, teacher, I read in the book about the errors that may be caused by the length of the ruler, and the errors in reading numbers during surveying and mapping. What are the differences between them?"
Li Yu's eyes drifted to the notes he took, and he copied what he wrote on the blackboard very neatly, and also made annotations in some places.
Wu Peifu used to be a scholar, but he was deprived of his fame. However, Wu Peifu did attend a private school since he was a child, and he also had some calligraphy skills, at least much better than Li Yu.
Li Yu explained: "The damage to the ruler itself is naturally a systematic error, and the reading error is the accidental error we just emphasized. Since it is a battlefield measurement, of course, we must avoid systematic errors and reduce accidental errors as much as possible."
"Thank you for teaching me." Wu Peifu immediately wrote it down in his notebook.
Li Yu asked, "Any more questions?"
A burly student said: "Teacher, my name is Li Jinglin. I would like to ask, if the unit is wrongly converted, what is the error?"
Li Yu thought about it: Li Jinglin, it suddenly occurred to him that this is the Wudang Swordsman.
Li Jinglin was also a great warlord in the future, but his fame came more from his martial arts attainments. He was a modern martial arts master and the successor of Wudang swordsmanship. He also studied Yang style Tai Chi under Yang Jianhou, the third son of Tai Chi master Yang Luchan, and became a member of the Yang family.
One of the rare disciples with a foreign surname.
Li Jinglin was a martial arts fanatic, and later he proposed the idea of "national martial arts for all", believing that martial arts could "strengthen the body, the country, the race, and the race." When the Nanjing Central Academy of Chinese Martial Arts was established, Lao Chiang Kai-shek invited him to be the director, but he was rejected.
.
Li Jinglin and Sun Chuanfang are the same age in the classroom now, and they are both of the younger generation, but Li Jinglin's learning ability is obviously not as good as Sun Chuanfang's.
Li Yudao: "If the unit is wrongly converted, it is the so-called 'gross error'. I think in battlefield surveying and mapping, this is an unforgivable error. Otherwise, the maps will be drawn incorrectly and the battle will not be fought, so it must be thorough."
Eliminate gross errors. Where you cannot make mistakes, you must not be sloppy."
Li Jinglin scratched his head: "I usually tend to be careless."
Monitor Wu Peifu smiled and said: "This is easy to say. I will definitely remember it after eating a few meals of riding whip."
Li Yu didn't know who else was important in the class, so he named another classmate: "What's your problem?"
"Teacher, my name is Cai Yubiao."
Um...well, this guy is also somewhat famous.
Cai Yubiao later became an instructor at Baoding Military Academy. He was not keen on war, but devoted himself to education. Mao Zedong and Deng Yanda were among his students.
Cai Yubiao asked more in-depth questions than others, and directly asked Li Yu about the expansion of the normal function. Because what Li Yu drew on the blackboard was the standard normal function, which is a simple form.
Unexpectedly, Cai Yubiao really liked studying.
Li Yu gave him a rough calculation on the blackboard. In fact, it was not very difficult, but a little more complicated and troublesome.
After Li Yu finished speaking, he said: "If you are interested, you can write it down and deduce it yourself."
"Thank you for teaching me." Cai Yubiao said.
When Li Yu was doing calculations just now, even Wu Peifu stopped taking notes because they really didn't understand. For them, what Li Yu just talked about was beyond the scope of mathematics and was part of mathematical research.
The question-and-answer session was almost over, and Li Yu said: "If you have any more questions, you should do more research yourself or discuss it among your classmates. If you really don't understand, you can of course come to me."
Li Jinglin felt that he had been listening in confusion and asked: "Teacher, do you have to take the test for all the things you talked about?"
Li Yu flipped through the exam syllabus and said, "Everything must be tested."
Li Jinglin felt like his head was going to explode. He regretted entering the surveying and mapping department. He should have gone to the infantry department. It was really too difficult.
However, the Surveying and Mapping Department belongs to the "Rocket Class" of the Beiyang Army Crash Course, and is the most likely to be promising in the future. If you want to become a master, you can only bite the bullet and take it.
The military school exams at this time were all serious, and many later generations could not pass just by hanging around in college, and the punishment for cheating was much more severe than later.
Li Jinglin felt hopeless. The surveying and mapping class had just begun, and he didn't know how many formulas and numbers were waiting for him later. Thinking about it made him despair.
Li Yu smiled after seeing his painful expression: "If you really don't understand, you can look at classmate Wu Peifu's notes. He did a good job."
When Li Yu said this, all the students became interested, "Notes?"
They all gathered around Wu Peifu and found that his notes were much more concise and clear than those in the textbook.
It should be said that Li Yu’s writing on the blackboard was very good, and Wu Peifu’s copying was also good. The current German textbooks are like heavenly books to them. German itself is a big obstacle, plus the unique problems of Westerners writing textbooks.
This thinking model is very difficult for these Eastern students to accept.
It’s not just the Beiyang Army Crash Course. When Western textbooks were first introduced in the early years, Japan was also troubled. It even went to China to find many Westernization-translated books to use directly as textbooks.
So when Li Jinglin and others saw a note written in Chinese, they felt very comfortable.
Sun Chuanfang's eyes shone: "Can you lend me a copy?"
"I said it first, I'll copy it first!"
"How about one page per person?"
Wu Peifu said helplessly: "Who told you not to take notes in class? Just take it easy and don't tear them up!"
Li Yu saw them starting to copy notes, and get out of class was over anyway, so he said, "See you in the next class."
It was already noon, and not long after returning to the office, Li Chun took Li Yu to the camp canteen.
Li Yu and the others entered the officers' mess. Ordinary soldiers did not eat here. In fact, even if they were not separated, ordinary soldiers generally would not come to the officers' mess to eat. The reason is very simple. The food is expensive and they cannot afford it.
As soon as they entered the dining hall, they saw Cao Kun commanding two soldiers to move in with several boxes, "Put it in the house, yes, right here, very good!"
There is also Zhang Xun in the room. He is sitting there in a very ungraceful posture. If you look closely, you can see that his buttocks are not completely seated.
Cao Kun walked over and said with a smile: "Zhang Guandai, no matter how much you eat, you don't forget to practice your kung fu, why are you doing horse walking here?"
Zhang Xun gritted his teeth and landed firmly on the chair with his buttocks firmly on the chair. He secretly screamed in pain, but still pretended to be calm on the surface: "Of course you can't forget to practice at all times."
Cao Kun smiled and said: "I brought some good things today, let's have a drink together?"
Zhang Xun shook his head quickly: "No, no, no! I have to do a drill in the afternoon, so you can't drink, you can't drink!"
Cao Kun picked up a bottle and took a sip: "You don't want to drink soda either?"
"Oh?" Zhang Xun took a look and found that what Cao Kun drank was indeed not wine, but Watson's soda.
Yes, it's Watson again.
There must be nothing wrong with the soda. Zhang Xun said: "Give me some!"
Li Chun and Li Yu were sitting at the table on one side. Li Chun said, "Guan Cao, can you give me a few bottles as well?"
Cao Kun said casually: "Just take it."
Li Chun picked up two bottles and handed them to Li Yu.
Li Yu took a look and saw that the words "Watson's Soda" were actually written on the bottle.
There is a promotional poster on the side with "Orange Dew" written on it; on the other side, an introduction to Watsons Pharmacy and an advertisement about the "magic" of the soda are written in small characters.
Anyway, the advertisement at that time looked really shy, and it was quite embarrassing to read it.
Li Yu took a sip and found that the taste was okay. It did have a bit of orange flavor, but compared with the various drinks he had drank before, it was still a bit inferior.
The most important thing is that I really didn't expect Watsons to be so popular that they actually made soda and sold it to the newly-established army.
In fact, before Coca-Cola became popular, Watsons soda was the most popular soda drink in the Qing Dynasty.
Even a hundred years later, Watson's soda has not disappeared completely, but its name has changed to "Arctic Soda". I believe many people should have drank it.
Li Chun asked: "What do you think, sir?"
"It's better than drinking." Li Yu replied.
Li Chun smiled and said: "Everyone thinks so, and they drink several boxes of it every day."
The food in the cafeteria was quite good. After finishing the meal, Li Yu was about to go back to rest. Li Chun said to him again: "Sir, if you are free, can you also take a ballistics course?"
"Ballistics?"
Li Chun said: "Yes, the German instructor of ballistics is also on vacation. Originally, we wanted the Japanese major officer Taga Muneyuki to lead the class, but the effect was not very good. His Chinese is not very fluent."
Seeing Li Yu's expression of embarrassment, Li Chun immediately added: "There are also textbooks and syllabus. I don't think it will be difficult for you, sir. Moreover, our Beiyang Army respects teachers very much and pays them well. Teachers are treated according to the leadership."
Pay salaries.”
Li Yu said: "Guandai?"
"Yes, the salary for teaching is the same as Cao Guandai and Zhang Guandai, 400 taels a month. And since you are teaching both subjects, you can follow the standard of 800 taels."
Hey! That's a little motivation.
Li Yu thought about how he had worked as a student assistant for Yi Kuang for so long and only earned 200 taels. Now he earns 800 taels for teaching two courses a month. The gap is huge! It turns out that Beiyang is generous. "Then please
Please show me the relevant teaching materials."
Li Chunxi said: "No problem!"
The middle and senior leaders of the Beiyang Army still attach great importance to the Army Crash Course, especially the "Rocket Class", who are all future reserve officers.
In fact, this has formed a tradition, so much so that the later Baoding Military Academy and Huangpu Military Academy received great attention and trained their trainees to become senior generals one after another. Many famous figures came from the two schools.
Sure enough, whether in the 21st century or the 20th century, talent is the most important.
Li Yu was holding the ballistics textbook given by Li Chun, and it seemed that he was learning and selling it now.
Fortunately, like surveying and mapping, current ballistics is not yet complicated. It almost belongs to the field of applied mechanics in applied physics, and it has not yet involved the frightening aerodynamics, elastic-plastic mechanics, etc.
It's just that ballistics does use more mathematical and physical knowledge than surveying and mapping. Of course, there are also some chemical combustion theories, explosion theories, etc.
In other words: Surveying and mapping is a basic required course, while ballistics is an advanced professional course.
No wonder Li Chun told Sun Chuanfang that the surveying and mapping department was more difficult, and the depth of study was indeed higher than that of other departments such as the artillery department, cavalry department, ordnance department, etc.