Otaku Engineer in Great Tang Dynasty

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Inside the office.

Hearing Liu Hongyuan ask what is the principle of equal opportunity, Li Zexuan couldn't help rubbing his eyebrows, because this question is too complicated to explain! After thinking about it for a long time, he still didn't know where to start, he could only say:

"Dr. Liu, this so-called equal opportunity, it is difficult for the younger generation to explain it to you for a while. In the future, there will be another discipline derived from arithmetic, called "Probability Theory and Mathematical Statistics". After you read that book, you will roughly Then you will understand what equal chance is. In addition, when arithmetic develops to an advanced stage, the same result can be deduced through pure arithmetic methods. That method is more complicated, and juniors won’t come up with it!”

In fact, Buffon's needle-throwing problem can be proved by pure mathematical methods. Two mathematical abstractions are used in the middle. First, let the midpoint of the needle rotate around a certain point on the line segment of the basic unit, and through definite integration, two areas can be obtained. Then let the needle translate on the line segment of the basic unit, and use the definite integral to get the ratio of the two volumes, and finally get the relationship between the probability of the thin needle pressing the line and π.

However, this process requires knowledge of trigonometric functions and calculus, which is even more troublesome to explain!

But then again, when a person reaches that level in mathematics, he won't use the "stupid" method of throwing a needle to find pi! Because of the trigonometric function plus the infinite series method, a more accurate pi can be obtained.

According to records, the British mathematician Machen used the formula in 1706: π=16arctan (1/5)-4arctan (1/239) to calculate the value of π, breaking the 100-digit mark, of which the value of arctan x can be obtained by Taylor series calculated.

At this time, Liu Hongyuan couldn't help being secretly shocked. Listening to Li Zexuan's words, everyone felt that the very advanced new arithmetic was just in its infancy, and there will be a whole set of advanced theories in the future, which will also be derived. Out of other knowledge!

Well, how old is Li Zexuan this year? How can there be such a terrifying amount of knowledge in the mind? Is he trying to establish his own faction and become a pioneering figure in the field of arithmetic?

At this moment, Liu Hongyuan no longer cares about pursuing the "principle of equal opportunity". His heart is only horrified, and he looks at Li Zexuan as if he were looking at a monster!

"Gudong~!"

After being stunned for a while, Xu Hongzhi couldn't help swallowing a mouthful of saliva, thinking that when he first saw Li Zexuan (when the store was checking accounts), he wanted to point out Li Zexuan! Only today did he know that he and Li Zexuan were not on the same level at all, and could be described as the difference between heaven and earth.

"Shan Chief, you have already mastered the advanced stage of arithmetic you said?"

Xu Hongzhi came back to his senses and asked tentatively.

Li Zexuan tilted his head and thought for a while, and said, "It's 70% to 80%! When I wasn't interested in learning, I learned about 70% to 80%!"

What he said was the truth. In high school and college, his math scores were not outstanding, at best, they were excellent, and he couldn't compare to those academic masters who could get full marks every time!

However, his mental strength is so strong in this life, if he is given another chance, he will definitely be able to compare to those academic bullies who were in his class back then.

"Pfft~!"

Xu Hongzhi and Liu Hongyuan almost vomited blood. First, they were depressed. Li Zexuan only learned 70 to 80 percent of the time and could "hang and beat" them. Second, they were angry. Learning, what a waste!

"Could the Marquis of Yongan's current mathematical attainments be able to calculate the ancestral rate to more than seven decimal places?"

After struggling for a long time, Liu Hongyuan asked such a question. He mainly wanted to see whether advanced arithmetic is really as powerful as Li Zexuan said, not to deliberately embarrass him.

Li Zexuan laughed inwardly, now he can "pretend" again, because he deliberately recited this thing in order to "pretend" in his previous life, but until his "accidental death", no one gave him a chance to "pretend". Now Lao Liu is here to "deliver pillows" to him!

"Haha! Of course! In his spare time, the boy has done a few calculations, and now read it out and share it with the two gentlemen. Listen carefully to the two of you!"

Li Zexuan chuckled lightly, then stood up, put his hands behind his back, and started the pretense mode: "3.14159, 26, 535897, 932, 384, 626, Four three three eight three..."

Liu Hongyuan was just a random test, but when Li Zexuan opened his mouth, he couldn't stop at all. In a blink of an eye, he recited eight, nine, and ten decimal places, which were already beyond the accuracy of Zu Chongzhi's Zu rate, but Li Zexuan still didn't know what to do. stop.

"...Three-seven-five-one-zero, five-eight-two-nine, seven-four-nine-four-four..."

Listening and listening, Liu Hongyuan and Xu Hongzhi seemed to hear something wrong. Although Li Zexuan spoke very fast, they still heard that Li Zexuan seemed to be reciting numbers according to a certain rhythm.

Yes, it's rhythm!

The two couldn't help looking at each other, and they suspected that Li Zexuan was thinking blindly.

"...Three-four-eight, twenty-five, three-four-two-one, seven-nine-six-nine! Phew, alright, the junior only remembers the first hundred for the time being, the two gentlemen can write it down and leave it for later verification. , there is absolutely no mistake in the top 100, I, Li Zexuan, guarantee with my personality!"

After reading for a while, Li Zexuan finally stopped, he let out a sigh of relief, and said to the two in front of him.

The reason why he was able to memorize the top 100 pi in his previous life was mainly because he took a cast

The clever way:

Let's first imagine a scene where an alcoholic drinks binge in a mountain temple and gets drunk in a ravine:

"One temple on the top of the mountain, one pot of wine (3.14159), Erle (26), I don't have enough three pots to eat (535897), and the wine kills Er (932)! Can't kill (384), Lele (626). That's it (43383), Erjigou (279)." [Top 30]

Next, imagine how the father of the "dead" felt when he learned that his son "died":

"I hurt the child (502), it is enough to die in vain (8841971), leave it to the valley (69399)." [15th place]

Then imagine the situation where the father of the "dead" goes to the ravine to find his son:

"Shanguai, I have low back pain (37510), I am afraid that you will be frozen for a long time (58209), and the sad thing will be long Sisi (74944)." [15]

Then, it was the father who found the son in the ravine and rescued him, and the scene where the son found his way back:

"I save the child (592), the cave turn (307), it is not suitable to stay (816). The four neighbors are happy (406), the child is not happy (286), and the child loves Dad for a long time (20899). Dad Leer does not understand (86280). 'Think again (348)!' Erwu (25). Think again and Yiyi (34211), and his wife waits for a long time (70679)." [Last 40]

Just like that, isn't it easy to memorize the top 100 of pi?

(Ha, just ask you 6 or not 6)

Xu Hongzhi and Liu Hongyuan didn't know whether to slip or not, but when they heard Li Zexuan making such a solemn package, their expressions became solemn, because Li Zexuan had never guaranteed anything with his personality, which was basically quite the case. Yu Zhitian swears (cough, the ancients didn't know the slogan "I use my personality to guarantee")! Immediately afterwards, the solemn expressions on their faces turned into horror. If what Li Zexuan said was true, it would be too scary! Zu led to 100 decimal places, this, Li Zexuan is going to pierce the math world!

Seeing the shocking expressions on the faces of the two, Li Zexuan couldn't help but feel a little smug in his heart, and finally pretended to be a big match! But Xu Hongzhi's next sentence made his face darken.

"Cough, Mr. Shan, can you read it again, so we can take notes!"

………………

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