Chapter 902: A wave of comparison! (12/22)
Inside the office.
Hearing Liu Hongyuan ask what is the principle of equality of chance, Li Zexuan couldn't help but rub 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, so he could only say:
"Dr. Liu, this so-called equality of chance, the younger generation is not easy to explain to you for a while, in the future, arithmetic will derive another discipline, called "Probability Theory and Mathematical Statistics", after you finish reading that book, you will roughly understand what is called equality of chance. In addition, when arithmetic has advanced to an advanced stage, the same result can be calculated through pure arithmetic methods. That method is more complicated, and the younger generation will not come up with it! ”
In fact, if the problem of Bufeng needle throwing 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 point on the line segment of the basic unit, and the ratio of the two areas is obtained by integral, and then let the needle translate on the line segment of the basic unit, and the ratio of the two volumes is obtained by using the definite integral, and finally the relationship between the probability of the fine needle pressing the line and the π is obtained.
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 height in mathematics, he will not use the "stupid" method of needle throwing experiment to find pi! Because the trigonometric function plus the method of infinite series can completely obtain a more accurate pi.
According to records, the British mathematician Machin used the formula: π=16arctan (1/5) - 4arctan (1/239) to calculate the π value in 1706, breaking the 100-decimal mark, of which the value of arctan x can be calculated by Taylor series.
At this time, Liu Hongyuan couldn't help but be secretly shocked in his heart, listening to the meaning of Li Zexuan's words, everyone currently thinks that the very advanced new arithmetic is only in its infancy, and there will be a complete set of advanced theories in the future, and other knowledge will be derived!
This, how old is Li Zexuan this year? How could there be such a terrifying amount of knowledge in the brain? Is he going to set up his own faction and become the founder of the arithmetic world?
At this moment, Liu Hongyuan couldn't care about the "principle of equal opportunity", he only had horror in his heart, and looking at Li Zexuan's eyes was like looking at a monster!
"Goo Dong~!"
It was Xu Hongzhi who was stunned for a long time, and couldn't help but swallow a mouthful of saliva, thinking that when he first saw Li Zexuan (when the store was checking the accounts), he still wanted to point his finger at Li Zexuan! Today he learned that he and Li Zexuan were not on the same level at all, and they could be described as the difference between heaven and earth.
"Mountain 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 about it, and said, "Seventy or eighty!" At the beginning, I didn't want to do arithmetic, so I learned seventy or eighty! ”
He is telling the truth, when he was in high school and college, his math scores were not outstanding, at most he was excellent, not as good as those who could get a full score every time!
However, in this life, his mental strength is so strong, if he is given another chance, he will definitely be able to compare to those top students who were in the same class as him back then.
"Poof~!"
Xu Hongzhi and Liu Hongyuan almost vomited blood, one was depressed, depressed Li Zexuan only learned seventy or eighty percent to be able to "hang" the two of them, and the other was angry, angry Li Zexuan had such conditions to learn such knowledge, but he didn't study well, it was really a tyrannical thing!
"Then Yong'an Hou's current arithmetic attainments, can he 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 if advanced arithmetic was really as powerful as Li Zexuan said, not to deliberately embarrass him.
Li Zexuan laughed secretly in his heart, he can "pretend to be forced" again, because he deliberately memorized this thing in his previous life in order to "pretend to be forced", but until he "died unexpectedly", no one gave him a chance to "pretend to be forced", and now Lao Liu is simply here to "send him a pillow"!
"Huh! Of course! In the boy's spare time, he counted a few times, and now he reads it out and shares it with the two gentlemen, and the two of you listen! ”
Li Zexuan chuckled, then stood up, stood with his hands in his hands, and began to pretend to be forced: "Three o'clock one four one five hundred and fifty nine, two six, five three five eight nine seven, nine three two, three hundred and eighty-four, six two six, four three three eight three ............"
Liu Hongyuan was just a random temptation, but as soon as Li Zexuan opened his mouth, he couldn't stop at all, and in the blink of an eye, he memorized to eight decimal places, nine places, and ten places, which was already beyond the accuracy of Zu Chongzhi's ancestral rate, but Li Zexuan still didn't stop.
“…… 37510, 58209, 74944......"
Listening and listening, Liu Hongyuan and Xu Hongzhi seemed to hear something wrong, although Li Zexuan's speech speed was very fast, they still heard that Li Zexuan seemed to be reading according to a certain rhythm.
That's right, it's rhyme!
The two couldn't help but look at each other, and they were a little suspicious that Li Zexuan was thinking blindly.
“……… Three-four-eight, two-five, three-four-two-one-one, seven-zero-six-seven-nine! Huh, okay, the juniors only remember the first 100 for the time being, the two gentlemen can write it down and leave it for later verification, none of the first 100 are wrong, I, Li Zexuan, vouch for my own personality! ”
After reading for a while, Li Zexuan finally stopped, he exhaled lightly, and said to the two people in front of him.
The reason why he was able to memorize the top 100 places of pi in his previous life was mainly because he took an opportunistic approach:
Let's imagine a drunkard drinking in a mountain temple and getting drunk to death in a ravine:
"A pot of wine in a temple on the top of the mountain (3.14159), children's music (26), I don't have enough three pots to eat (535897), wine kills (932)! Kill (384), Joy and Joy (626). Death is just (43383), and the ditch is abandoned (279). [Top 30]
Then, imagine how the father of the "deceased" would feel when he learned that his son was "dead":
"My Pain (502), it's sad enough to die in vain (8841971), leave it to the mountain valley (69399)." [15-bit]
Imagine the "deceased" father going to the ravine to look for his son:
"I have back pain in the mountain (37510), I'm afraid that you will freeze for a long time (58209), and I will think about it for a long time (74944)." [15-bit]
Then, there is the scene where the father finds his son in a ravine and revives him, and the son finds himself lost:
"I save the child (592), the cave (307), and it is not advisable to stay (816). Neighbors are happy (406), children are unhappy (286), and children love their fathers for a long time (20899). Dad Leer doesn't understand (86280). Think twice (348)! 'Enlightenment (25). Think twice and follow (34211), and wait for a long time (70679). [Last 40]
That's it, isn't the first hundred places of pi easy to memorize?
(Ha, just ask you 6 or 6)
Slipping away or not, Xu Hongzhi and Liu Hongyuan didn't know, but when they heard Li Zexuan packing the ticket so solemnly, their faces became solemn, because Li Zexuan had never guaranteed anything with his personality, which was basically equivalent to swearing to the sky (cough, ancient people didn't know the stalk of "I use my personality to guarantee")! Immediately afterwards, the solemnity on their faces turned into horror, if what Li Zexuan said was true, it would be too scary! The ancestral rate is one hundred decimal places, this, Li Zexuan is going to stab the god of the arithmetic world!
Seeing the thick look of shock on the faces of the two of them, Li Zexuan couldn't help but feel a little proud in his heart, and finally pretended to be a big competition! But Xu Hongzhi's next sentence made his face suddenly darken.
"Ahem, mountain chief, can you read it again, we can use it to write it down!"
…………………
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