Li Zexuan didn't have any grudge against the Imperial College itself. At most, some people in the Imperial College didn't like him. He himself didn't take these things into his heart.
When he resigned in anger, he did not deliberately target Kong Yingda. On the contrary, Kong Yingda took good care of him during the time when he was teaching in the Imperial College. In the final analysis, he just didn't like the Imperial College where Confucianism was prevalent!
Besides, things have been going on for so long, and now he just wants to run Yanhuang Academy well. How can he have time to dwell on those small grudges?
"Haha, Mr. Xu, Mr. Liu, come in quickly, please sit down! Mo Zhong, watch the tea!"
Mo Zhong welcomed Xu Hongzhi and Liu Hongyuan in, and Li Zexuan quickly stood up and greeted them warmly.
Xu Hongzhi cupped his hands and said sincerely: "Chief, this is Mr. Xu. He has something to ask you. I hope you can ignore it..."
"Hey~! What Mr. Xu said is serious. This is the first time I have met Dr. Liu. How can I have any previous grudges? Come and sit inside, Dr. Liu, please come first!"
Before Xu Hongzhi could finish speaking, Li Zexuan interrupted.
Liu Hongyuan glanced at Li Zexuan with admiration, followed Li Zexuan inside, and said with a smile: "Yongan Marquis has such a big heart at such a young age, no wonder he can create such a huge family business in just a few months. !”
Several people sat down one after another, and Li Zexuan said with a smile: "Dr. Liu, thank you for the award. You have been working hard in the Mathematical School for decades, teaching and educating people, and you have worked hard. You are a role model for our generation!"
Li Zexuan knew that Liu Hongyuan was Xu Hongzhi's teacher, and he had also investigated Liu Hongyuan's previous deeds. He was a "people's teacher" worthy of respect!
Seeing that Li Zexuan's face was kind and showed no displeasure, Xu Hongzhi, who was a little worried before, was immediately relieved.
At this time, I heard Liu Hongyuan say: "Haha! That's all, that's all in the past, don't mention it again! I came to Yong'an Marquis today to ask for something!"
The old gentleman has been teaching all his life, but he has no airs about him and his posture is relatively low. He is completely different from those rotten scholars!
Li Zexuan admired him in his heart and said quickly: "Old gentleman, you are serious. If you have anything to say, just tell me. Why do you want to ask for it or not? Isn't this a disgrace to this junior?"
When Liu Hongyuan heard Li Zexuan's promise, he didn't care about being polite anymore. A trace of blush appeared on his pale old face at this moment. He was probably very excited inside at this time. "I saw the needle throwing game played by Marquis Yong'an a few days ago. Out of curiosity, I also played a similar game in the Arithmetic School. You must have heard of the result, Marquis Yong'an. I am certainly excited to be able to accurately find the sixth decimal place of my ancestor's rate in my lifetime, but..."
At this point, the old gentleman paused, and Li Zexuan asked cooperatively: "But what? It's okay for Dr. Liu to just say it!"
Liu Hongyuan nodded and continued: "But after thinking about it, I can't figure out why the ancestral rate can be obtained through a simple needle throwing game? This seems like a child's play! I have been thinking about it for four days. , I didn’t even think of a reason, so I came to the door shamelessly, wanting to ask Yong’an Marquis for advice, and I hope you don’t blame me for coming uninvited!”
It turned out to be for the needle experiment!
After listening, Li Zexuan understood why the old gentleman came, but he couldn't help but feel a little funny. He had been struggling with a problem for four days. He was really a persistent old man!
In fact, many teachers from Yanhuang Academy, including Xu Hongzhi, came to ask him about the principle of the needle experiment, but he did not say that he wanted the teachers from the academy to find the answer slowly by themselves.
Now that the old gentleman has traveled all the way just for this, Li Zexuan can't continue to keep his secrets.
"Since Dr. Liu wants to know the principles of this game, I will talk about it today. If there are any mistakes, I hope you can correct me~!"
Li Zexuan said politely, then he took out a pencil from the pencil case on his desk, took a piece of white paper by the way, and began to draw and explain:
"Suppose there is a wire bent into a circle. Its diameter is exactly equal to the distance between the parallel lines I drew on the paper when I was playing the needle game. We use d (get) to represent this distance.
As you can imagine, for such a circle, no matter how you drop it, there will be two intersection points with parallel lines. Therefore, if the circle is dropped n(en) times, the total number of intersection points must be 2n(en). "
Ahem, people in the Tang Dynasty did not understand English, let alone the pronunciation of English letters, so when Li Zexuan set up unknown variables, he read them in Chinese Pinyin to avoid others not being able to understand.
(For the convenience of reading, the letters will not be additionally marked in the following text)
Liu Hongyuan and Xu Hongzhi both nodded thoughtfully. They had both learned Li Zexuan's new arithmetic and had read the knowledge points about equations in the textbook, so they could understand Li Zexuan's current approach of setting unknown variables.
Li Zexuan continued: "Now we imagine that the circle is straightened, then the length of the wire is πd. Oh, by the way, I usually like to use π to represent the ancestor rate. After the circle is straightened, such a wire will be the same as when dropped. The intersection of parallel lines is obviously more complicated than that of circles. There may be 4 intersection points, 3 intersection points, 2 intersection points, 1 intersection point, or even no intersection at all.
Since the length of the circle and the straight line are both πd, according to the principle of equal opportunity, when they throw more times and are equal, the total number of intersections between the two and the parallel line group is roughly the same. That is to say, when the length of the circle is πd When the wire is dropped n times, the total number of intersections with parallel lines should be approximately 2n.
Now discuss the case where the wire length is l. When the number of throws n increases, the total number of intersections m of this iron wire with parallel lines should be proportional to the length l, so there is: m = kl, where k is the proportional coefficient.
To find k, just note that for the special case of l = πd, we have m = 2n. Therefore, k = is obtained and substituted into the previous equation, so π ≈ when the length of the straight line is half of the distance between parallel lines, the above equation can be written as π ≈ n/m. These are the two pin-throwing games we did earlier! "
There were some "super syllabus" knowledge points here, but Li Zexuan forgot to explain them as he was talking. He didn't care whether they could understand them or not, so he just explained them all in one go.
Sure enough, both Liu Hongyuan and Xu Hongzhi frowned. After the two of them "digested" in silence for a while, Liu Hongyuan asked aloud:
"There is something I don't understand. May I ask what the principle of equal opportunity is?"
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