Hammer of Technology

"Heh... Make that kid so crazy, don't stop me today, let's let him solve two problems, if he can solve it for me in person today, and accuse me of those words, I will admit it If you haven’t solved it, you must tell me well today.”

"Yes, Senior Brother Lu, it just so happens that I have also prepared two questions. Let him do it together today. After we finish it, we will go around after seeing the younger brother. Otherwise, Senior Brother Lu, don't say that we don't give Tian Dao face and bully him." student!"

……

Lu Dongyi looked at the group of Ph.D. students who stayed in the academy in order to catch up with their dissertations in the summer vacation speechlessly.Of course, not all of them are the students of Director Tian, ​​and there are also students of other professors in the school, but Ning Wei probably treated each other equally and provoked each other without distinction.

In fact, Lu Dongyi still admires Ning Wei for being able to drive this group of doctoral students out of a state of rage.But let him say something to this group of people, and he doesn't know how to speak.

It's not always good to tell the truth.

Tell them directly that the little junior brother is in a bad mood because a girl whom no one knows in the yard hasn't played the piano in a certain classroom for several nights in a row, so he's looking for trouble with the seniors everywhere?

He was afraid that to be honest, these doctors would be really depressed.

So after holding back for a long time, Lu Dongyi just said: "What questions did you prepare? Why don't you show me first?"

It's too embarrassing not to use this excuse to waste time.

"It's fine to show you, but don't remind that kid later."

"All of you are guarding here, why should I remind you?"

"Okay, let's take a look first, can you stop that kid!"

A few pieces of manuscript paper were delivered to Lu Dongyi, Lu Dongyi glanced at them, and said with a wry smile, "Where did you get this question from?"

"This is an advanced version of two Putnam's latest competition questions this year."

"Hey, I also picked a question from Putnam, and another question I got in the Alibaba math competition."

Lu Dongyi was speechless.

The Putnam Mathematics Competition is a mathematics competition for college students in the United States, mainly participated by college students from the United States and Canada.Some people directly translate it into Putian, because the topic of this competition is really difficult.

How difficult is it?Let's put it this way, the competition has 12 questions, each question is ten points, the total score is 120 points, and the test time is 6 hours.According to media reports, last year, more than 3300 high-achieving students who are confident in mathematics from prestigious universities in the United States and Canada signed up for the competition, and half of them failed to score more than 3 points.

Yes, it's 3 points, no less than 0.

If you can get 56 points in the test, you will enter the top [-].

But only the top 25 will be rewarded, the top 5 will be recorded and receive an invitation to join the Putnam Math Club. Lists within 100 will be published directly in the Journal of the American Mathematical Society.

Of course, the design of the difficulty of the competition questions is not aimless, because this competition originally exists to select students with mathematical talents.And it works great.

Among the Putnam Prize winners in history, there have been six Fields Medal winners, four Nobel Prize winners in physics, and two Nobel Prize winners in economics.

You must know that in the West, being good at math is not a cool thing.For most of the students, only the most powerful football field can get the most attention.If it weren't for the love of mathematics, no one would come to seek abuse!

Now these doctoral students are directly using these questions to embarrass the younger brother...

Moreover, he also carefully avoided the field of partial differential equations, which Ning Wei is best at. The more critical four questions were obviously discussed, and four different mathematical directions were selected, and each question was very classic.

For example, the question Zhou Yanping was looking for is to randomly select four points on the sphere, and then consider a tetrahedron with them as vertices. What is the probability that the center of the sphere falls inside the tetrahedron?

This is definitely the finale of any math competition.

Therefore, Lu Dongyi felt that these brothers were really bullying others.

"Ahem..." Just as he was about to say something fair, the office door was pushed open, and Ning Wei walked in with a gloomy air.

Seeing so many people gathered in the office, Ning Wei was stunned for a moment, then frowned and said, "No, these seniors, have you finished your doctoral dissertation? Why, the supervisor let you go without urging you? Why? What teacher always said that XX is the worst one I have ever brought, can't you have some idea in your heart?"

Hearing this, Lu Dongyi swallowed back the words that came to his lips, and silently watched the confrontation between the two sides.

"Listen, Professor Lu, did you hear that? What is Ning Wei's madness now? Come on, Ning Wei, don't say that being a senior is unreasonable, you can teach us a lesson, show us yours first The basics of mathematics. In this way, we have prepared four questions. According to the standard time, we will give you half an hour for one question. If you can solve all four questions in two hours, you will go sideways in the math school. If you can’t solve it, give it to the brothers Apologize, and keep a low profile when you meet senior brother in the future!"

Zhou Yanping took the attitude of a senior brother and taught him a lesson.

Ning Wei glanced at senior brother Lu, then looked at the four senior brothers squeezed into the fourth room, sneered, and said, "Problem solving? All right, but it's not interesting to bet on this, why don't we bet bigger?"

"Okay, how much do you want to bet?"

"In this way, if I can't do it, I will only need to spend one day in this yard for all the senior brothers, serving tea and water every day, cooking and cleaning. In short, if you have any requirements, I will cover everything. But If I make it within the stipulated time, let’s do the opposite, I said you just accept it, let you do something, you just listen, how about it?” Ning Wei said with a sneer.

"Junior brother, let me tell you, the guy who was as arrogant as you last time has already closed himself!"

"That's right, you're so confident without even reading the title? Ning Wei, you're so ruthless!"

Ning Wei sneered: "I said you are bothering or not? You are all studying mathematics, not debating? Let's just say, you can just say whether to gamble or not? Professor Lu, you are a witness, as long as the seniors agree , I can't convince my brothers, so I will write Ning horizontally in the future."

"Gamble, bet, bet! Lao Zhou, Lao Zhang, Lao Luo, we must not be cowardly today, this kid is bluffing!"

"Yes, I bet! I still don't believe it!"

"Okay, I'm betting too, Ning Wei, it's not that the seniors bullied you, do you think that what you said is human words?"

Just when several senior brothers were furious, a voice interjected forcefully: "Hey, how lively is it here today? I said why are you all making a fuss around here?"

Several people turned their heads and saw that Professor Xiao who was next to him was attracted.

"Director Xiao, you came at the right time. Help us to be a witness. Junior brother Ning Wei has been really crazy lately. We have prepared four competition questions for him. He wants to make a bet with us that he will be able to solve the problem within the specified time. If we can do it, we only need to stay in the courtyard for one day, and we will listen to him for a day, and if we can’t do it, he will listen to us." Seeing his mentor, Brother Zhang immediately said.

"Oh! And this thing? Ning Wei, is it really you who took the initiative to bet with the brothers?" Professor Xiao asked slowly.

Ning Wei said straightforwardly: "Yeah, Professor Xiao, I'm really not picky, Professor Xiao, are the professors in the courtyard too low for our doctoral students? Anyway, I think these doctoral brothers have One by one is too idle. Doing projects and writing papers are all procrastinating, wandering around every day, without any energy. It is time to rectify the atmosphere. We want to be in line with international standards, this kind of procrastination The atmosphere is bad! Mathematicians should race against time to do research!"

"I..." Zhou Yanping almost spat out a mouthful of old blood.

Ma Dan, is he traveling around for fun?Are you thinking about the problem? !

Even Senior Brother Luo, who has the best temper, started to roll his eyes.

"oh, I see!"

Professor Xiao nodded with a smile: "Come on, show me the competition questions prepared by senior brother. Where are they?"

Lu Dongyi stood up silently, walked to the door, and handed over the topic that he had just read.

Professor Xiao glanced at it and smiled: "Interesting, interesting, we haven't been this lively in a long time, do you really want to bet? If you really want to bet, let me see which professor is still in the yard. Rise up and bear witness to you."

Ning Wei immediately said: "It's a gamble! It must be a gamble! The academic atmosphere in the research institute must be rectified!"

"Yes, yes, we also bet with Ning Wei, but let's say it first, the four questions will only take up to two hours!"

"Two hours? Brothers, who do you look down on? Nine and ten minutes, if you can't finish it, I'll lose." Ning Wei glanced at Zhou Yanping and said.

"Ha...Professor Xiao, Professor Lu, you heard it, this is not what we said, it was Ning who said it for himself!" Brother Zhang said with a sneer.

"Okay, okay, but Ning Wei, don't push yourself too hard. These questions are still very difficult, and it will take two hours." Professor Xiao smiled and said.

"No, just nine and 10 minutes, lest the seniors who lose in the end say that the juniors bully them."

"Uh...hahaha, okay, let's go to the next classroom, wait a minute, I'll call someone."

……

Ten minutes later, six professors who happened to be in the institute, including Tian Yanzhen, were all called by Professor Xiao to the classroom next to Lu Dongyi's office.

As Professor Xiao said, there hasn't been such a lively gambling game in the institute for a long time. It's good to watch the children bet and have fun together.

So when it was almost time for people to arrive, Ning Wei took the questions and buried himself in the classroom. Several doctoral seniors were proctoring the exam in the classroom, and the professors were chatting outside the classroom.

"Xiao Lu, what's going on with Ningwei recently? Why are you bothering a few senior brothers?"

"Yeah, these are just a few hot-tempered guys who happened to go out to communicate. Otherwise, those few and Ning Wei, the catalyst, wouldn't have demolished our yard? Right, Director Tian."

"It's demolished, it's demolished, and a bigger one is being built! But Lu Dongyi, I'm also curious, Xiao Ning didn't feel so irritable before, why did he make those senior brothers so angry?" Tian Yanzhen also asked curiously.

Lu Dongyi smiled, he couldn't speak directly to the doctoral students, but he had nothing to say to the professors who used to be his advisors, and replied: "Speaking of which, I probably have to blame... ..."

So, without concealment, he recounted the events of these days completely.

"Probably the situation is like this. In fact, the younger brother looked quite calm yesterday. Who knows that when he came today, he seemed to be a different person and started to pick things up everywhere."

"Oh! That's it, but think about it, Ning Wei seems to be only 23 years old?" Professor Xiao asked with emotion.

"22 years old, 3 years old in 23 months." Tian Yanzhen answered casually.

"You're so young! It's better to be young!" Another professor beside him sighed.

"Yeah, so I think if he wins the Fields Medal four years later, he will be the youngest Fields Medal winner in history, but this kid actually dislikes the difficulty of continuing to do NS equations! He needs to change the project! "

Tian Yanzhen shook his head, then looked at Lu Dongyi and asked, "Didn't you ask someone, which major is that female student?"

Lu Dongyi shook his head and said, "I told my junior brother that if he doesn't worry about taking the postgraduate entrance examination any more, he can go directly to your direct doctoral student, and I will help him find out."

"Haha, no wonder, why is Ning Wei trying to trouble other senior brothers? Xiao Lu, he is playing games with you." Xiao Liang said happily.

Lu Dongyi was stunned, blinked, and asked, "Play with me?"

"So, Xiao Lu, you should also think about your life's major events, otherwise, how can you still have a young mentality? Let's say that you asked Ning Wei to take the initiative to find Lao Tian as a doctoral student, so you are willing to help him inquire. Isn't that right? Just let him take the initiative to admit that he has a crush on that female student? Young people need to save face when it comes to this kind of thing! I'm ashamed to admit my thoughts, but I can't get angry, so I just go to toss those senior brothers. Do you want to pay back? If you don’t inquire for him, are you afraid that he will make trouble for your small office every day?” Xiao Liang continued jokingly.

Lu Dongyi came to a sudden: "Oh, the younger brother is also shy! Let me tell you earlier, but a while ago, the younger brother actually looked quite normal. When I was doing the subject, I was more excited than usual. I thought..."

"Just don't think so, but I'm still curious. Does that female student play the piano really nicely?"

"This one……"

"Okay, okay, you'd better find out which female student it is first. If she can really help you two find mathematical inspiration by playing the piano, then I will vacate the room next to you later, and I will borrow a piano Go in as usual, and let her play the piano for you in spare time in the future, and our academy will give her subsidies according to the time. To save your future juniors from being restless, when those proud masters come back, don't really treat us The yard is demolished!"

Tian Yan was really arrogant.

Lu Dongyi thought for a while and said, "Okay then! If Junior Brother wins, I'll call. If he loses, he should be able to settle down by himself."

------------

147 Don't Make Professor Lu Dissatisfied

Lu Dongyi's meaning is very simple.

Ning Wei wanted to make a fuss, but he had to pass the test of the brothers.

Those who can hang out in this courtyard have a calm temper on weekdays, who is not the one who is proud and arrogant?

Rather more so.

If he loses this time, I think the younger brother will naturally be at peace.

That's right, Ning Wei has already proved his ability, but it is mainly in the research of ns equations, and it is not achieved by the Institute of Mathematics.The usual academic discussions have also proved that Ningwei has a solid foundation in mathematics and has dabbled in many fields.

But when it comes to solving math problems, it is actually a different field. What is needed is not only the mastery of mathematical concepts, but also a generalized thinking mode and comprehensive ability.

In particular, the questions asked by the doctoral brothers are very unusual and involve a wide range of topics.

Lu Dongyi probably had mixed confidence in Ning Wei.

Because Ning Wei's dazzling resume is just a shortcoming in mathematics competitions.

But as soon as he finished speaking, he saw Zhou Yanping walking out of the classroom dejectedly with a stack of draft paper.

This also immediately attracted the attention of several professors.

"What's the matter? Xiao Zhou, it's coming out now? Stop staring at it?" Tian Yanzhen asked.

"Ningwei has solved all the two problems I found." Zhou Yanping said with a sad face.

"Oh? So fast?"

Lu Dongyi subconsciously picked up his phone and looked at the time. Only 35 minutes had passed since the start of solving the problem, and the average time for each problem was 17 minutes and 30 seconds.

"I checked his problem-solving steps just now, there is no problem, the standard problem-solving thinking. It took about 10 minutes to solve the first problem, and only 10 minutes for the second problem. It took me another 5 minutes to check the answer. .” Zhou Yanping said dejectedly.

It is understandable that these people must have done research on the answers when selecting the topic, and 5 minutes is indeed enough to judge whether Ningwei's problem-solving steps are standard.

"Show me." Lu Dongyi stretched out his hand.

Zhou Yanping directly handed Ning Wei's paper filled with answers to Lu Dongyi.

The first sentence in the entry: "Assume that in the two-dimensional state of the sphere, three points are randomly selected on the circular surface, and the probability of forming a triangle containing the center of the circle is [-]/[-]..."

After carefully reading Ningwei's subsequent problem-solving process, Lu Dongyi handed the problem-solving process in his hand to the professors next to him.

Everyone began to circulate quietly. After a while, Professor Xiao smiled and patted Zhou Yanping on the shoulder without saying anything.

Lu Dongyi glanced at Ning Wei who was still writing hard in the classroom, shook his head, sighed, took out his mobile phone, walked to a secluded place and started making calls.

"Hey, Mr. Lu, do you have a phone number for the management office of our art college? Oh, it's nothing, I want to find out who is in charge of the professor on the second floor next to the Red Sixth Building. I have something to ask Ask that teacher. All right, then I'll wait for his call, please."

……

Soon, a few professors heard a clamor across the classroom door: "Oh, how difficult is the question I thought? Please, can the brothers use a little bit of care and effort when they come up with the question? Four questions that challenge my writing speed to bet, who is this looking down on?"

Then I saw several doctoral students in my family walking out of the classroom one by one with complicated and unspeakable expressions.

Zhou Yanping, who was standing outside the classroom, heard that sentence, his complexion became even more exciting, from blue to white, and then from white to blue, switching back and forth several times...