Otaku Engineer in Great Tang Dynasty Chapter 901: Strength puzzles!

Li Zexuan has no hatred for the Imperial College itself. At most, some people at the Imperial College saw him not pleasing to his eyes. He himself did not take these things to heart.

At the beginning, he was angry and resigned, and he did not deliberately target Kong Yingda. On the contrary, during the time when he was teaching at the Imperial College, Kong Yingda took good care of him.

Furthermore, things have been going on for so long, and now he just wants to do a good job in Yanhuang College, where can he have time to entangle those little grievances?

"Hehe, Mr. Xu, Mr. Liu, come in, please sit down! Mo Zhong, watch tea!"

Mo Zhong greeted Xu Hongzhi and Liu Hongyuan in, and Li Zexuan quickly got up and greeted him enthusiastically.

Xu Hongzhi arched his hand and said sincerely: "Shanchang, this is Xu's mentor, his old man has something to ask you, but I hope you can ignore it..."

"Eh~! Mr. Xu is serious when he said that. This is the first time I have met with Dr. Liu. How can there be any accusations? Go inside, Dr. Liu, please first!"

Li Zexuan interrupted before Xu Hongzhi finished speaking.

Liu Hongyuan looked at Li Zexuan appreciatively, and while following Li Zexuan inside, he smiled and said: "Yong'an Hou has such a heart at a young age. No wonder he can make such a big hit in just a few months. Family business!"

Several people were seated one after another, and Li Zexuan smiled and said: "Dr. Liu has been rewarded. You have been working hard for decades in the mathematics school, teaching and educating people, working hard, and you are a role model for my generation!"

Li Zexuan knows that Liu Hongyuan is the teacher of Xu Hongzhi, and he has also investigated Liu Hongyuan's past deeds. This is a respectable "people's teacher"!

Seeing Li Zexuan's face full of kindness, without any dissatisfaction, Xu Hongzhi, who was still a little worried before, immediately let go.

At this time, I listened to Liu Hongyuan said: "Haha! It's nothing more, it's all the past, don't mention it again! Today, the old man came to Yonganhou to ask for something!"

The old gentleman taught all his life, but he didn't have any arrogance at all, and his posture was relatively low, so he was totally different from those corrupt scholars!

Li Zexuan admired in his heart, and said quickly: "The old gentleman is serious, if you have something, don't you want to ask or not? Isn't this the younger generation?"

Liu Hongyuan heard Li Zexuan's promise, but he couldn't care about being polite. His pale old face showed a blush at this moment. It is estimated that his heart is very excited at this time. "A few days ago, the old man saw the vote you made in Yonganhou The needle game, I was very angry, and I did a similar game in the School of Mathematical Studies. As a result, you must have heard of Yonganhou. In my lifetime, I can accurately find the sixth decimal place of the ancestral rate. The old man is excited, but ..."

Speaking of this, the old man paused, and Li Zexuan asked cooperatively: "But what? It's okay for Dr. Liu to just say it!"

Liu Hongyuan nodded and continued: "But the old man thinks about it, and can't figure out why he can get the ancestral rate through a simple needle-throwing game? This seems a bit tricky! The old man thought about it. For four days, I didn’t think of a reason, so I went to the door brazenly and wanted to ask Yonganhou for advice. I hope I don’t blame the old man for uninviting me!"

It turned out to be a needle experiment!

After listening, Li Zexuan understood why the old man came, but he couldn't help feeling a little funny. He struggled with a problem for four days. This is really a persistent old man!

Actually, many teachers at Yanhuang Academy, including Xu Hongzhi, came to ask him about the principle of the needle-throwing experiment, but he didn't say that he wanted the gentleman of the academy to find the answer slowly.

Now the old gentleman travels all the way, making a special trip for this, and Li Zexuan will no longer be able to continue selling.

"Since Dr. Liu wants to know the principle of this game, the younger generation will talk about it today. If there are errors, I hope you two can correct them~!"

Li Zexuan said politely, then he took a pencil from the pencil case on the desk, took a piece of white paper by the way, and began to draw and explain:

"Suppose there is an iron wire bent into a circle so that its diameter is exactly equal to the distance between the parallel lines I drew on the paper when I was playing a pin-throwing game. We use d (de) to represent this distance.

It can be imagined that for such a circle, no matter how it is dropped, there will be two intersections with the parallel line. Therefore, if the number of times the circle is dropped is n (en) times, then the total number of intersection points that intersect must be 2n (en). "

Cough cough, people in Datang don’t understand English, and they don’t understand the pronunciation of English letters, so when Li Zexuan sets unknown variables, he uses the pronunciation of Chinese pinyin to prevent others from not understanding.

(For the convenience of reading, the letters will not be additionally marked in the following text)

Liu Hongyuan and Xu Hongzhi both nodded thoughtfully. Both of them had learned Li Zexuan's new arithmetic. The textbook contained knowledge about equations, so they could also understand Li Zexuan's current practice of setting unknown variables.

Li Zexuan continued: "We now imagine that the circle is straightened, then the length of the wire is πd. Oh, yes, I usually like to use π to express the ancestral rate. After the circle is straightened, such a wire like this The situation where it intersects the parallel line when dropped is obviously more complicated than the circle. There may be 4 intersections, 3 intersections, 2 intersections, 1 intersection, or even no intersection.

Since the length of the circle and the straight line are the same as πd, according to the principle of equal chance, when they have more throws and are equal, the total number of intersections between the two and the parallel line group is roughly the same, that is, when the length When the iron wire of πd is dropped n times, the total number of intersections that intersect the parallel line should be approximately 2n.

Now let's discuss the case where the wire length is l. When the number of throws n increases, the total number m of intersections between the wire and the parallel line should be proportional to the length l~IndoMTL.com~Therefore: m=kl, where k is the proportional coefficient.

In order to find k, just note that for the special case of l=πk, there is m=2n. Then we get k=(2n)/(πd). Substituting into the previous formula: m≈(2ln)/(πd) so that π≈(2ln)/(dm)!

When the length of a straight line is half the distance between parallel lines, the above formula can be written as π≈n/m. These are the two needle-throwing games we did before! "

There are some "super-class" knowledge points in it. Li Zexuan forgot to explain when he talked about it, and regardless of whether they could understand it or not, they said it all in one mind.

Sure enough, both Liu Hongyuan and Xu Hongzhi frowned. After the two silently "digested" for a while, Liu Hongyuan asked:

"There is something unclear about the old man, dare to ask what is the principle of equal opportunities?"

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