Inside the office.
When Liu Hongyuan asked what the principle of equality of opportunity was, Li Zexuan couldn't help but rub his eyebrows, because this question was too complicated to explain! After thinking for a long time, he still didn't know where to start, so he could only say:
"Dr. Liu, this so-called equal chance cannot be easily explained to you by this junior. In the future, arithmetic will lead to another branch of knowledge called "Probability Theory and Mathematical Statistics". After you finish reading that book, roughly You will understand what equality of opportunity means. In addition, when arithmetic reaches an advanced stage, the same result can be derived through pure arithmetic methods. That method is more complicated, and the juniors will not use it!"
In fact, Buffon's needle throwing problem can be proved completely using 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 basic unit line segment. Through definite integrals, two areas can be obtained. The ratio of the two volumes is then allowed to translate on the basic unit line segment, and the definite integral is used to obtain the ratio of the two volumes. Finally, the relationship between the probability of the fine needle pressing the line and π is obtained.
However, this process requires knowledge of trigonometric functions and calculus, which would be even more troublesome to explain!
But then again, when a person reaches that level in mathematics, he will not use the "stupid" method of the needle experiment to find pi! Because the trigonometric function plus the infinite series method can completely obtain a more accurate pi.
According to records, British mathematician Machin used a formula to calculate the value of π in 1706, breaking through the 100 decimal place mark. The value of arctan x can be calculated through Taylor series.
At this time, Liu Hongyuan couldn't help but be secretly shocked. Hearing what Li Zexuan meant, the new arithmetic that everyone thought was very advanced was actually just in its infancy. There would be a whole set of advanced theories in the future, and there would be more derivatives. Come up with other knowledge!
This, how old is Li Zexuan this year? How could there be such a terrifying amount of knowledge in his mind? Does he want to establish his own school and become a pioneer in the field of mathematics?
At this moment, Liu Hongyuan no longer cared about pursuing the "principle of equal opportunity". He only felt horror in his heart. He looked at Li Zexuan as if he were looking at a monster!
"Gudong~!"
After Xu Hongzhi was stunned for a long time, he couldn't help but swallowed his saliva. He thought that when he first met Li Zexuan (during the store audit), he wanted to point out Li Zexuan! Only today did he realize that he and Li Zexuan were not on the same level at all. They could only be described as worlds apart.
"Shan Zhang, have you mastered all the advanced stages of arithmetic you mentioned?"
Xu Hongzhi came back to his senses and asked tentatively.
Li Zexuan tilted his head and thought for a moment, then said: "About 70% to 80%! I didn't intend to learn arithmetic at the beginning, so I only learned 70% to 80%!"
He was telling the truth. When he was in high school and college, his math scores were not outstanding. He was excellent at most. He was not as good as those top academics who got perfect scores every time!
However, he has such strong mental power in this life. If he is given another chance, he will definitely be able to compare with those top academics who were in the same class with him back then.
"Pfft~!"
Xu Hongzhi and Liu Hongyuan almost vomited blood. First, they were depressed because Li Zexuan had only learned 70% or 80% of the skills and could beat them both. Secondly, they were angry because Li Zexuan had the conditions to learn such knowledge but he didn't learn it well. Learning is such a waste of natural resources!
"Then with Marquis Yong'an's current arithmetic skills, can he calculate the ancestor's 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 was as powerful as Li Zexuan said, and he did not mean to deliberately make things difficult.
Li Zexuan secretly laughed in his heart, now he could "pretend" again, because in his previous life, he deliberately carried this thing on his back in order to "pretend", but until his "accidental death", no one gave him a chance to "pretend". Now Old Liu simply came to "give him a pillow"!
"Haha! Of course! I calculated it several times in my spare time, and now I will share it with you two gentlemen. Please listen carefully!"
Li Zexuan chuckled, then stood up, stood with his hands behind his back, and started to show off: "Three points one four one five nine, two six, five three five eight nine seven, nine three two, three eight four, six two six, Four three three eight three......"
Liu Hongyuan was just casually testing it, but as soon as Li Zexuan opened his mouth, he couldn't stop at all. In the blink of an eye, he memorized it to eight, nine, and ten decimal places. This was already beyond the accuracy of the Zu rate obtained by Zu Chongzhi, but Li Zexuan still didn't. stop.
"...three-seven-seven-five-one-zero, five-eight-two-hundred-nine, seven-four-nine-four-four..."
As they listened, Liu Hongyuan and Xu Hongzhi seemed to sense something was wrong. Although Li Zexuan spoke very quickly, they still heard that Li Zexuan seemed to be counting according to a certain rhythm.
Yes, that’s the rhythm!
The two couldn't help but look at each other, and they suspected that Li Zexuan was thinking nonsense.
"...Three, four, eight, two, five, three, four, two, one, seven, six, seventy-nine! Phew, okay, I can only remember the first hundred for now. You two gentlemen can write them down for later verification. , there is absolutely no mistake among the first hundred people, I, Li Zexuan, guarantee it with my own personality!"
After reading for a while, Li Zexuan finally stopped. He took a breath and said to the two people in front of him.
The reason why he was able to memorize the first hundred digits of pi in his previous life was mainly because he adopted an opportunistic method:
Let’s first imagine a drunkard drinking heavily in a mountain temple and dying in a ravine:
"There is a pot of wine in a temple on the top of the mountain to make you happy (26). Three pots are not enough for me to eat (535897). The wine will kill you (932)! If you can't kill me (384), you will be happy (626). Just forget it if you die (43383) , Erqigou (279)." [Top 30]
Next, imagine how the father of the “deceased” felt after learning that his son was “dead”:
"I love my son (502). It is sad enough to die in vain (8841971), leaving it to Shangougou (69399)." [15th place]
Now imagine the scene where the father of the “deceased” goes to the ravine to look for his son:
"My back hurts when I turn on the mountain (37510), I'm afraid you'll be frozen for a long time (58209), and I'll think about the miserable things for a long time (74944)." [15th place]
Then, there is the scene where the father found his son in the ravine and revived him, and the son found his way back after getting lost:
"I saved my son (592), but the cave turned around (307) and it was not suitable to stay (816). The neighbors were happy (406), but the son was unhappy (286). The son loved his father for a long time (20899). Dad Leer did not understand (86280). 'Think twice (348)!' Erwu (25). Think twice and surrender (34211), and my wife will be happy waiting for a long time (70679)." [Last 40]
Just like that, isn’t it easy to memorize the first hundred digits of pi?
(Ha, let me ask you if you are 6 or not)
Whether they were slipping away or not, Xu Hongzhi and Liu Hongyuan didn't know, but when they heard Li Zexuan vouching for it so solemnly, their faces became solemn, because Li Zexuan had never guaranteed anything with his personality, which was basically quite Yu Zhitian swears (well, ancient people didn’t know the meaning of “I guarantee it with my personality”)! Immediately afterwards, the solemnity on their faces turned into horror. If what Li Zexuan said was true, it would be too scary! The Zu rate is one hundred decimal places. This, Li Zexuan is trying to destroy the arithmetic world!
Seeing the shock on their faces, Li Zexuan couldn't help but feel a little proud, finally pretending to be a big showdown! But what Xu Hongzhi said next made his face suddenly darken.
"Ahem, Chief Shan, can you read it again so we can write it down in notes?"
………………
