Otaku Engineer in Great Tang Dynasty

Remember in one second [End of the God Station] Mobile phone user input address: m.xinwanben.com

Li Zexuan didn't have any grudges against Guozijian himself, at most it was just that some people in Guozijian didn't like him, and he didn't take these things to heart.

When he resigned in anger, he did not deliberately target Kong Yingda. On the contrary, during the time he was teaching at Guozijian, Kong Yingda took good care of him. After all, he just didn't care much about Guozijian, where Confucianism was prevalent!

Besides, things have passed for so long, and now he only wants to do a good job of Yanhuang Academy, how can he have time to deal with those small favors and small grievances?

"Hehe, Mr. Xu, Mr. Liu, come in quickly, please take a seat! Mo Zhong, watch the tea!"

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

Xu Hongzhi bowed his hands and said sincerely: "Shan Chang, this is Xu's mentor, he has something to ask you, and I hope you can ignore it..."

"Hey~! Mr. Xu's words are serious. This is my first meeting with Dr. Liu. How can I say anything? I'm going to sit inside, Dr. Liu, please go 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, "Marquis Yongan has such a heart at such a young age, no wonder he was able to create such a huge family business in just a few months. !"

Several people took their seats one after another, and Li Zexuan smiled and said, "Dr. Liu has won the award. You have been conscientious and conscientious in the School of Mathematics for decades, teaching and educating people, and working hard. You are a role model for my generation!"

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

Seeing that Li Zexuan's face was kind, he was not unhappy. Xu Hongzhi, who had been worried before, suddenly let go.

At this moment, I heard Liu Hongyuan say: "Haha! That's all, it's all in the past, don't mention it again! Today, the old man came to find the Marquis of Yongan, and he has something to ask for!"

The old gentleman has taught books all his life, but he has no air at all, and his attitude is relatively low. There is a world of difference from those scumbags!

Li Zexuan admired in his heart, and said quickly: "Old gentleman is serious, if you have something to say, why should you ask or not ask for it? Isn't this smashing the younger generation?"

Liu Hongyuan listened to Li Zexuan's promise, but he couldn't be polite anymore, a blush appeared on his pale old face at this moment, and he was probably very excited at this moment, "The old man saw the needle-throwing game you made by Yongan Hou a few days ago, Out of curiosity, I also played a similar game at the School of Mathematics. As a result, you must have heard about the Marquis of Yongan. In my lifetime, I can accurately find the sixth decimal place of the ancestor rate. Although the old man is excited, but..."

Having said that, the old man paused for a while, and Li Zexuan asked in a cooperative voice, "But what? It's okay for Dr. Liu to say it straight!"

Liu Hongyuan nodded and continued: "But the old man thought about it and couldn't figure out why he could get the ancestral rate through a simple game of throwing needles? This seems really a little tricky! The old man thought about it for four days. , I didn't think of a reason, so I went to the door with a brazen face, and wanted to ask the Marquis of Yongan for advice, I hope I don't blame the old man for coming uninvited!"

It turned out to be a needle injection experiment!

After listening, Li Zexuan understood why the old gentleman 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!

In fact, many teachers of Yanhuang Academy, including Xu Hongzhi, came to ask him about the principle of the needle injection experiment, but he did not say that he wanted the academy gentlemen to find the answer slowly.

Now that the old man made a trip all the way, and made a special trip for this, Li Zexuan would not be able to continue to sell off.

"Since Dr. Liu wants to know the principle of this game, the junior will talk about it today. If there is any mistake, I hope the two of you will correct me~!"

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

"Suppose there is a wire bent into a circle, and its diameter is exactly equal to the distance between the parallel lines I drew on the paper when I was playing the pin game, and we use d (de) to represent this distance.

As you can imagine, for such a circle, no matter how you drop it, there will be two intersections with the parallel line. So, if the circle has dropped n(en) times, the total number of intersections must be 2n(en). "

Ahem, people in the Tang Dynasty don't understand English, let alone how to read English letters, so when Li Zexuan set up unknown variables, he used the pronunciation of Hanyu Pinyin to read, so as not to be understood by others.

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

Both Liu Hongyuan and Xu Hongzhi nodded thoughtfully. They had both studied Li Zexuan's new arithmetic and had read the knowledge points about equations in the textbook, so they could 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, by the way, I usually like to use π to represent the ancestral rate. After the circle is straightened, such a wire will be the same as when thrown down. The situation where parallel lines intersect is obviously more complicated than that of a circle. There may be 4 intersections, 3 intersections, 2 intersections, 1 intersection, or even none.

Since the lengths of the circle and the straight line are both πd, according to the principle of equal chance, when they throw more 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 is

When the wire of πd is dropped n times, the total number of intersections with parallel lines should be roughly 2n.

Now consider the case where the wire length is l. When the number of throws n increases, the total number of intersections m of the wire and the parallel lines should be proportional to the length l, so there is: m=kl, where k is the proportionality coefficient.

To find k, just note that for the special case of l=πd, there is m=2n. So k=(2n)/(πd) is obtained. Substitute into the previous formula: m≈(2ln)/(πd), so π≈(2ln)/(dm)!

When the length of the line is half the distance between parallel lines, the above formula can be written as π≈n/m. That's it for those two pin games we did earlier! "

There are some "extraordinary" knowledge points in it. Li Zexuan forgot to explain when he was talking, and regardless of whether they could understand it or not, he explained it all at once.

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

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

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