Chapter 905 of 3096
Chapter 905: Engineering, the new world! (During)
5 min read1,332 words
"Boom~!"
Li Zexuan held up his hands and made a gesture of "embrace the world", his
posture was extremely chic, but the words he just said were nothing more than
dropping a depth bomb, making all the people in the auditorium uneasy!
Zulu! This is the ancestral rate that has troubled the ancestors for so many
years! Even now, there are very few people who can accurately calculate the
ancestral rate, but Li Zexuan just played a small game with everyone, and
easily got the approximate value of the ancestral rate. This is a miracle!
"This... how is this possible?"
"It should be a coincidence?"
"But the head of the mountain just mentioned the ancestor rate to us first. If
it's really a coincidence, wouldn't the head of the mountain say all the
things he said before?"
"It's definitely not a coincidence. Shanchang's face is always stable from
beginning to end. How could it be a coincidence?"
The students talked about it all below, and they all felt incredible. In fact,
not only them, but also the teachers of the colleges here, all felt
incredible! A big problem in the academia—Zuzi, how could it be calculated so
casually?
Li Zexuan secretly said in his heart, no one guessed right! Because it was a
coincidence to finally get such an answer, but it was not a coincidence. This
experiment is the famous Bufeng needle injection experiment in the past:
One day in 1777, French scientist D? Buffon invited guests to do an experiment
at home that Li Zexuan did earlier. In the end, the guests made a total of
2,212 needles, of which 704 intersected parallel lines. The ratio of the total
number of 2212 to the number of intersections 704 is 3.142. He said loudly to
the guests: "Gentlemen, this is the approximate value of Pi!"
The guests were in an uproar, and there was a lot of doubts, and everyone felt
inexplicable: "Pi? This game is not even close to the circle!"
The appearance of π in such a chaotic situation is really beyond people's
expectations, but it is a true fact. Since the problem of the needle-throwing
test was first proposed by Mr. Buffon, it was called Buffon’s problem in the
history of mathematics. The general result obtained by Buffon is: if the
distance between two parallel lines on the paper is d, the small needle is
long It is l, and the number of needle throwing is n, so the number of
throwing needles crossing the parallel line is m, then when n is quite large,
there is: π≈(2ln)/(dm). The needle length l used here is exactly half the
distance d between parallel lines, so substituting the above formula to
simplify it is: π≈n/m.
(This formula can be fully proved by the knowledge of probability and
geometry, so I won’t repeat it here for now)
It is worth mentioning that many people followed Mr. Bufeng's footsteps and
used the same method to calculate the value of π.
One of the most amazing is the Italian mathematician Lazireni. In 1901, he
declared that he had carried out many needle-throwing experiments. Each time
the number of needles was 3408, the average number of intersections was 1808.
Substituting the Buffon formula to obtain π≈3.1415929 (the needle length l he
used is not equal to parallel Half the distance d between the lines). Compared
with the exact value of π, the difference does not appear until the seventh
decimal place! Using such a lightweight method to obtain such a high-precision
value of π, this is really a natural creation, a beautiful clock of good
fortune, and so beautiful! If Zu Chong were to be reborn, he would be
dumbfounded!
However, people have always criticized a lot about Razreni's result, but it is
not unreasonable to get such a result, because in mathematics, it can be
proved that the closest to the true value of π, the few fractions with the
smaller denominator Yes:
(22)/7≈3.14 (sparse rate)
(333)/(106)≈3.1415
(355)/(113)≈3.1415929 (density rate)
(103993)/(33102)≈3.141592653
However, Razreni actually had a secret rate, and for a throw within 10,000
times, there could be no better results. It is no wonder that many people have
raised doubts: "Is there such a coincidence?" However, most people think that
Razirini is indeed "good luck" in view of his diligence and caution throughout
his life. What the truth is, there is no way to examine it now!
Therefore, the result Li Zexuan just got is a coincidence and not a
coincidence. If you are close to luck, the error in the result will be
slightly larger, but it is not much larger! This is a question of probability!
In the auditorium, Xu Hongzhi had been doing arithmetic for most of his life,
and he was the most shocked. At this moment, he didn't care about being
courteous. He instantly stood up from his seat, and then walked directly to
the podium!
Halfway through, he realized that he was rude, and hurriedly handed over to Li
Zexuan: "Shanchang, can you let the old man go up and take a look? This... the
old man has no other meaning, just want to go up and see with his own eyes!"
The latter part of the sentence is somewhat concealed. After all, he would
never believe this miracle if he saw it with his own eyes.
Li Zexuan was happy, secretly saying that this old man still suspected that he
was cheating? So he amused: "Mr. Xu wants to see, even if he comes up to
check, not only that, other gentlemen or students who have questions can come
up to check! Be careful not to touch the podium and disturb the position of
the needle!"
"Thank you Shan Chang!"
As soon as his voice fell, several people appeared immediately below,
including students and gentlemen from the college, Li Tai was among them!
Several "skeptics" quickly came to the edge of the podium and began to count
the thin needles falling on the parallel lines on the piece of paper.
"One, two, three...Two hundred twenty-five, two hundred twenty-six, two
hundred and twenty-seven! There actually happened to be two hundred and
twenty-seven fine needles falling on the black thread!"
Half a quarter of an hour later, four or five "skeptics" who stepped onto the
podium had already counted the results, and suddenly couldn't help but let out
an exclamation!
Xu Hongzhi was completely convinced at this moment, but he still couldn't
figure out how could a simple little game be related to Zu Li? So he looked at
Li Zexuan next to him and said excitedly:
"My mentor also used the circle-cutting technique to calculate the ancestral
rate in the early years, but after three days, only the first four decimal
places were exactly the same as the ancestor’s calculations~www.mtlnovel.com~
Many times, one step was accidentally calculated incorrectly. If it is done,
it will cause all the games to be wrong! Today's Shan Chang's free game can
accurately count to the first three decimal places. The old man is deeply
impressed! I wonder if Shan Chang can clarify the principle for me?"
At this time, everyone turned their attention to Li Zexuan. Obviously they
also want to know the principle? However, I saw Li Zexuan smile a little bit
humble, and then said: "You should go back to your seats first! Let's put this
question aside for the time being, I will show you a little game!"
Play your sister's game! We must listen to the truth! ! !
When everyone heard it, they almost vomited blood, all of them frantically.
But the mouth is on Li Zexuan's body, he doesn't want to say, can't find
someone to beat him up and force him to talk, right? Who has that guts in the
auditorium? Besides, who can beat it?
As a result, they could only sit on their seats obediently (depressed)
obediently (sullen) and watch what Li Zexuan would do next!
.....................
(End of this chapter)