universal data

Chapter 363 Pen!

366 chapter

The two fiercely quarreled.

The quarrel was loud and attracted the attention of some people nearby, including Cheng Nuo and He Youjun.

Two people, one black and one white, stood directly on the stone steps of the activity center, arguing with red faces.

Judging by the posture, if there is no one to stop it, I am afraid there will be a fight soon.

Cheng Nuo sat at the side, looking sideways, as if watching a play.

Cheng Nuo didn't know the reason for the quarrel between the two, but judging from the conversation between the two, it seemed that there were irreconcilable differences regarding the solution of a certain mathematical problem.

Gradually, the two people who couldn't tell the winner from their mouths began to push each other.

The other two companions who were with them, the old god was there, and they didn't seem to try to persuade them to fight.

Depending on the situation, it has long been commonplace.

Suddenly, a white student was pushed and shoved by Xiao Hei, his body was unstable, and he fell directly to one side.

Sitting on that side were Cheng Nuo and He Youjun.

Fortunately, Cheng Nuo is a man who wins with speed. He reacted very quickly and supported the fallen white classmate with both hands.

The white classmate fell into Cheng Nuo's arms, leaning against Cheng Nuo's generous chest, something strange seemed to flash in his blue eyes.

The white student looked at Cheng Nuodong's sharp-cut cheeks, and swallowed subconsciously.

Behind Cheng Nuo's back, there was a chill, and he made a bold guess.

But in order to maintain his image, Cheng Nuo politely helped the white student up.

The white student shook hands with Cheng Nuo excitedly, "Hi, my name is Chali, thank you very much for your generosity!"

Cheng Nuo smiled friendly, "Cheng Nuo, from China!"

The white students were even more excited, and put their arms around Cheng Nuo's shoulders, "Hua Guo? I've been there! Cheng, I have to say, it's a very interesting place!"

"By the way, Cheng, which college are you from?" Student Chali was curious.

Cheng Nuo thought for a few seconds, "Uh..., he should be a student majoring in mathematics in the Faculty of Science!"

"What! You are also a mathematics major! That's great!!" The student Chali, who was always excited, was excited again.

Regardless of whether Cheng Nuo agreed or not, he took Cheng Nuo's arm and walked to the little black classmate.

With his strong body, Xiao Hei successfully defeated Cha Li in terms of force, but he will not be easily convinced.

"Hey, Luke, I found a classmate majoring in mathematics, how about letting him help us judge our opinions?" Charlie said to classmate Xiao Hei.

Classmate Xiao Hei folded his arms and glanced at Cheng Nuo lightly, "Chali, you are joking! We are not discussing some exam questions, but an advanced math problem."

"As far as your undergraduate friend is concerned, I'm afraid it's difficult to even understand what we're discussing!"

Zha Li didn't care at all about Xiao Hei's ridicule.

Cheng Nuo couldn't bear it anymore.

I eat your rice at a young age! !Why haven't you seen a genius from heaven?
Lao Tzu was looked down upon in various ways in China, and it is still the same when he is abroad!
This dude, if you don't pretend to be pretty, you'll be sorry for being called the king of dudes.

Cheng Nuo stretched out his hand, and said in a calm tone to Cha Li, "Bring me a question?"

Cha Li couldn't react to the sudden change in the tone of his new friend from Huaguo. After a few seconds, he handed a piece of paper to Cheng Nuo from his schoolbag and said, "This is the paper we are in." There is no correct solution to a question I found while browsing ResearchGate.”

ResearchGate, Cheng Nuo has heard of this website. Simply put, it is a favebook for scientific researchers.

Cheng Nuo took the topic and read it through.

[Proof: When 2≤n≤N, the following continuous product inequality always holds:
√2√3√4√5……√n≤3/2^n-1√n+2≤√1+2√1+3√1+4√1+……+(n-1)√1+n】

Cheng Nuo thought he finally knew why he heard the words Ramanujan's identity in the quarrel between the two.

It turns out that this question is a transformation of Ramanujan's identity.

The so-called Ramanujan's identity refers to an identity named by the great mathematician Ramanujan.

公式为：3=√1+2√1+3√1+4√1+5√1+n……

There are two mainstream proof methods for this identity, so I won’t go into details here.

In short, the question Chali showed Cheng Nuo was closely related to Ramanujan's identity.

Chali then handed Cheng Nuo another piece of paper, which was filled with dense mathematical formulas, "Hey, this is the steps of Luke's proof. He thinks his proof steps are correct and there is no problem. But I think he The proof process is wrong! Because of this, we quarreled!"

It turned out to be because of this reason!

People who study academics, even the reason for the quarrel is so high-end and high-end.

"Then do you think he made a mistake in that step?" Cheng Nuo asked.

Charlie scratched his head, "I don't know, just by feeling."

Cheng Nuo: "..."

Brother, you are cheating!

Cheng Nuo was speechless for a few seconds, took the A4 paper full of steps, and began to browse line by line.

There are not many formulas, just one page. In 3 minutes, Cheng Nuo finished reading.

After reading it, Cheng Nuo raised his head and met Shang Zhali's eyes.

"How is it?" Chali asked, as if he had great expectations for this Huaguo student he had never met before.

Cheng Nuo smiled and stretched out his hand, "Here comes the pen!"

"Here, here, and here, the steps are all wrong!" Cheng Nuo pointed out four or five places with a pen and explained the reasons for the mistakes in detail.

This topic should be regarded as a level that is difficult for most doctoral students.

And judging by their age, Charlie and that little black classmate should still be studying for a master's degree. Even if they are students at the Massachusetts Institute of Technology, it doesn't mean that they can easily fight across levels.

Questions of this level of difficulty are still a bit embarrassing for them.

Xiao Hei, who was pointed out by Cheng Nuo, looked ashamed, but he still kept his mouth firm.

His face turned red, and he pointed at Cheng Nuo with trembling fingers, "Aren't you very strong, I'll give you the pen, and you write!"

Cheng Nuo shrugged with a smile and smiled lightly. "no problem!"

What I'm waiting for is your words, classmate Xiao Hei!

The first pretense trip to a foreign country, I didn't expect the first stop to happen here.

It's God's will, so let nature take its course.

Holding the pen, Cheng Nuo swiped away.

先证左侧，【当3≤k≤N时，由伯努利不等式可得：2*(3/2)^k-2=2*(1+1/2)^k-2＞2*(1+k-2/2)=k.即k<2*(3/2)^k-2，k=3，4，……n，于是，√2√3√4√5√……√n≤√2√2*(3/2)√2*(3/2)^2√2*(3/2)^3……】

再证右侧，【因为k=√1+(k-1)(k+1)，k=3，4，5，……，所以3=√1+2*4√1+2*√1+3*5=√1+2√1+3√1+4*6=……=√1+2√1+3√1+4√1+……+(n-1)√1-n(n-2)……】

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PS: Are you starting school soon?
(End of this chapter)