In the office.
When Li Zexuan heard Liu Hongyuan ask about the principle of equal opportunity, he couldn't help but rub his eyebrows. This problem 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 opportunity, I can't explain it to you at the moment. In the future, another field of mathematics will be derived, called" Probability Theory and Mathematical Statistics ". After you finish reading that book, you will roughly understand what equal opportunity is. In addition, when mathematics is developed to a higher level, the same result can be derived through pure mathematics. That method is more complicated, so I won't take it out! "
In fact, the Buffon needle throwing problem could be completely proved using pure mathematics. Two mathematical abstractions were used in the middle. First, let the needle rotate around a point on the basic unit segment. Through definite integration, the ratio of the two areas was obtained. Then, let the needle translate on the basic unit segment. Using definite integration, the ratio of the two volumes was obtained. Finally, the relationship between the probability of the fine needle pressing the line and π was obtained.
However, this process required knowledge of trigonometric functions and calculus, so it would be more troublesome to explain!
But then again, when a person reached a high level in mathematics, they wouldn't use such a "stupid" method like the needle throwing experiment to find π! Because trigonometric functions and infinite series methods could be used to obtain a more accurate π.
According to records, in 1706, the British mathematician Melchyn used the formula: π = 16 arctan (15) — 4 arctan (1239) to calculate the value of π, which broke through the 100-digit decimal mark. The value of arctanx could be calculated through the Taylor series.
At this time, Liu Hongyuan couldn't help but be shocked. Listening to Li Zexuan's words, the new mathematics that everyone thought was very advanced was only in the beginning stage. In the future, there would be a whole set of advanced theories, and other knowledge would be derived!
This, how old is Li Zexuan this year? How can there be such a terrifying amount of knowledge in his brain? Is he going to establish his own school of mathematics and become a founding figure in the field of mathematics?
At this moment, Liu Hongyuan didn't care about the "equal opportunity principle" anymore. His heart was only filled with horror. He looked at Li Zexuan as if he was looking at a monster!
Gulp ~!
Xu Hongzhi was stunned for a while and couldn't help but swallow a mouthful of saliva. When he first met Li Zexuan (when he was checking the accounts of the shop), he wanted to give Li Zexuan some pointers! Only today did he realize that he was not on the same level as Li Zexuan. The difference between them could be described as heaven and earth.
"Yamachō, have you mastered the advanced level of mathematics?"
Xu Hongzhi came back to his senses and asked tentatively.
Li Zexuan tilted his head and thought for a moment, then said, "Seventy to eighty percent! Back then, I wasn't interested in learning mathematics, so I only learned about seventy to eighty percent of it! "
What he said was the truth. When he was in high school and university, his math grades were not outstanding. At most, he was considered excellent. He could not be compared to those straight-A students who could get full marks every time!
However, in this life, his spiritual power was so strong that if he was given another chance, he would definitely be able to compete with the top students in his class.
Pfft ~!
Xu Hongzhi and Liu Hongyuan nearly vomited blood. Firstly, they were depressed. Depressed that Li Zexuan had only learned seventy to eighty percent, yet he was still able to "hang and beat" the two of them. Secondly, they were angry. Angry that Li Zexuan had the conditions to learn such knowledge, yet he didn't study it properly. What a waste!
"Then, with Duke Yong 'an's current proficiency in mathematics, can you calculate the ancestral rate to more than seven decimal places?"
After struggling for a long time, Liu Hongyuan asked this question. He mainly wanted to see if advanced mathematics was really as powerful as Li Zexuan said. He didn't want to make things difficult for him.
Li Zexuan laughed in his heart. Now he could "act tough" again. In his previous life, he had especially memorized this thing to "act tough", but until his "accidental death", no one had given him a chance to "act tough". Now, Old Liu was simply here to "deliver a pillow" to him!
"Haha! Of course! In my spare time, I've calculated a few times. Now, I'll share it with the two of you. Please listen carefully! "
Li Zexuan chuckled and stood up with his hands clasped behind his back. Then, he began to act tough. "Three points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points, four points,
Liu Hongyuan was just casually probing, but once Li Zexuan opened his mouth, he couldn't stop. In the blink of an eye, Li Zexuan had memorized eight decimal places, nine decimal places, ten decimal places. This had already exceeded the accuracy of Zu Chongzhi's Zu rate, but Li Zexuan still didn't stop.
"… … Three seven five one zero, five eight two nine, seven four nine four four … …"
As they listened, Liu Hongyuan and Xu Hongzhi felt that something was wrong. Although Li Zexuan spoke very quickly, they could tell that Li Zexuan seemed to be reciting according to some kind of rhythm.
That's right, rhythm!
The two of them couldn't help but look at each other. They suspected that Li Zexuan was just randomly reciting.
"… Three, four, eight, two, five, three, four, two, one, seven, six, seven, nine! Phew, alright, this junior will only remember the first 100 names for now. You two gentlemen can record them down for future verification. There is absolutely no mistake in the first 100 names. I, Li Zexuan, guarantee with my own integrity! "
After reciting for a while, Li Zexuan finally stopped. He let out a sigh and said to the two people in front of him.
The reason why he could memorize the first 100 digits of pi in his previous life was mainly because he used an opportunistic method:
First, imagine a drunkard drinking in a mountain temple and dying in a ravine:
"A pot of wine in a temple on the peak (3.14159), Er 'Le (26), three pots of wine are not enough for me (535897), Wine Kill (932)! Unkillable (384), Le Le Le (626). It's fine if you die (43383), Er's Abandoned Ravine (279). "
Then, imagine the mood of the "deceased"'s father after learning that his son had "died":
"I love my son (502), it's sad enough to die in vain (8841971), leaving him to the ravine (69399)."
Then imagine the scene of the "deceased"'s father going to the ravine to look for his son:
"My back hurts when the mountain turns (37510), I'm afraid you'll be frozen for a long time (58209), Long Sad Sisi (74944)."
Then, the scene of the father finding his son in the ravine and saving him, and the son realizing his mistake and turning back:
"I save my son (592), the cave turns (307), it's not good to stay (816). The four neighbors are happy (406), Er's Not Happy (286), Er Dotes on Father for a long time (20899). Father Le 'er doesn't understand (86280). 'Think thrice (348)!' Son Wu (25). Think thrice and be reluctant (34211), Wife Waits for a long time (70679). "
Just like that, wouldn't the first 100 digits of pi be easy to memorize?
(Ha, I'm just asking you guys if you're 6 or not)
Xu Hongzhi and Liu Hongyuan didn't know if they should slip away or not, but when they heard Li Zexuan make such a solemn guarantee, their faces became solemn. This was because Li Zexuan had never used his personality to guarantee anything. This was basically equivalent to swearing to the heavens (cough, ancient people didn't know the saying "I use my personality to guarantee")! Then, the solemn expression on their faces turned into horror. If what Li Zexuan said was true, it would be too scary! The ancestral rate was 100 digits after the decimal point. This, this Li Zexuan was going to break through the heavens of the mathematics world!
Seeing the shock on their faces, Li Zexuan couldn't help but feel a little proud. He finally had a chance to show off! However, Xu Hongzhi's next sentence caused his face to darken.
"Ahem, Yamachō, can you say it again? We can write it down!"
…
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