162 Yang Fan's first conjecture in mathematics

New York, USA.

It was already the next morning, and after the evening performance, the agent sent Yang Fan to the hospital, and after examination, the injury was not as serious as imagined.

Without alarming anyone, Yang Fan and Teacher Qian returned to the hotel smoothly.

In order to take care of the nearest person, Mr. Qian deliberately changed the bed and stayed with Yang Fan. When the latter woke up, Mr. Qian pointed to the breakfast at the bedside and said, "Help you order, you are also a celebrity now, try to move around as little as possible, and it will be impossible to explain the impact on the Orsay." That one...... Can I brush my own teeth?"

The thick gauze on the ten fingers was entangled, bloated and ugly, Yang Fan moved it, and it almost didn't affect it: "It just can't get wet, and the rest is fine." ”

When washing, Mr. Qian also helped fetch water, which made Yang Fan very embarrassed. This time it's a math competition, and so much has happened.

"Cultivate well, and it will be good to be able to grab a pen in three days. In fact, Yang Fan, Westerners' rational thinking is worse than ours, and they attach one level less importance to the Olympiad. On the contrary, it is your excellence in the piano that can be recognized by them. Teacher Qian was a little disappointed.

"It's just a middle school level, Mr. Qian, top academics, everywhere is valued. ”

Yang Fan was eating breakfast in the room, and Mr. Qian leaned on the window sill with a stool in front of him, with several newspapers and magazines in his hand.

"It's amazing, the front page of the New York Daily News. Teacher Qian read it on the spot with a smile, "The youngest pianist in China, he has been praised by several masters as the first piano person in a hundred years. ”

"Culture & Art, the speed of the keystrokes is so fast that the top piano spontaneously combusts, coupled with the perfect musical quality, this is a miracle in the history of music, and it will not be the same phenomenon in a hundred years. ”

"The Manhattan Morning Post, the third part perfectly makes the gods cast their gaze, and the fourth part of the theme is elevated, and the human struggle will go to the starry sky, the galaxy, the edge of the universe. ”

......

"It's just a fluke. Yang Fan said.

Within a few minutes, the landline phone in the living room rang, Yang Fan was stunned, and then remembered that the mobile phone had been turned off overnight, and Li Yunfei had called the landline again.

"Hey, I'm Yang Fan. ”

"Yang Fan, I know you don't want to contact the media, they can't find you, so they will naturally look for me. I've helped you push more than 70 interviews, but this one, you must be on it. This is the world's recognition of you, and it can enhance the international image of the Chinese. ”

"Newspapers, television?" Yang Fan said.

Time Magazine. ”

Time magazine has had an impact that runs through the world. Everyone on the cover is a household name, a political celebrity, a financial tycoon, a global movie star, an academic figure, and so on.

"Okay. Yang Fan weighed it again and again and decided to accept it.

Half an hour later, Li Yunfei sent people to him. Yang Fan didn't want his classmates and teachers to make a fuss, so he deliberately asked for a small reception room.

This is a working woman in her thirties, with curly blond hair, a snow-white shirt that wraps around her chest, and a short black skirt that exposes her slender long legs.

Sexy lips opened and closed, "Hello, Time Catherine." ”

Yang Fan raised his finger and said, "I'm sorry, I'm Yang Fan." ”

Li Yunfei said hello and left, and closed the door in the small reception room, and when he got to the door, he let out a long breath, Time Magazine, even he has never been on it, but unfortunately, this kind of thing is not enviable.

In the reception room, there was only a transparent round table, with three seats on both sides, and Yang Fan and Catherine sat opposite each other.

Catherine opened her orange satchel, took out a pen and paper and put it on the table, and continued to search, a video pen, a lighter, and a pack of cigarettes.

"Crackling. With a sound, the lighter lit, Catherine Qianqian grabbed a cigarette between her fingers, took a big puff, and said, "Smoke?"

"Thank you. Yang Fan hurriedly waved his hand, he was not yet old, and he was not interested. I heard that the man who smokes will lose points. What about women smoking?

The exhaust fan overhead turned on, the smoke rose, and the coolness of a lady's cigarette finally brought her back to her senses from the baptism of music, Catherine was shocked, and said in a very exaggerated tone: "Very, very wonderful concert, unimaginable swan song of heaven and earth, I have no words to describe its perfection, its nobility, its sacredness." ”

Media people have their own channels, Time Magazine's influence is also world-class, Catherine's seat is very high, and the music she hears naturally tastes better.

Talking about playing music just now, the strong woman at work couldn't keep a calm demeanor, and shouted eagerly: "Mr. Yang, I'm sorry, we have all investigated your background in private, and when we come into contact with first-hand information as a media person, our first reaction is always hype." Doubts about Mr.'s age and ability cannot be ruled out. ”

"In the end, Mr. gave us all a resounding slap in the face. It has been 170 years since Mr. Chopin's death, and the world's art community has been waiting for generations to finally complete it in his hands, and I think Mr. Chopin will be pleased to know this news. ”

"Miss Catherine is so kind, I'm just lucky. Yang Fan couldn't stand this woman's enthusiasm a little, talking is talking, what's the point of getting closer and closer.

He hurriedly moved his butt under the rattan chair, and the whole person hid across the round table, so that the distance was the farthest. This woman is very tasteful and beautiful. It's just that I'm older than myself, so I can't talk too hard.

Yang Fan's small movements were naturally discovered by Catherine, she licked her sexy lips, and said seductively: "The Huaxia people are too reserved, if you want, sir, we can have dinner together another day." ”

Catherine really had this idea, the man in front of her, young, vibrant, and talented was earth-shattering, and he called Xiao Xianrou in the words that came from the East on the Internet.

For women over the age of 25 who are slightly cooked, their favorite is small fresh meat. It's refreshing, and it's good for physical fitness.

"I don't have time, I still have exams, sorry. Yang Fan leaned back, trying his best to get farther away. Western women are too direct, and the one in front of her doesn't know how much she has had dealings with people, so she will only talk to her when she is dizzy.

"Well, it seems that Mr. Yang still has important things. Catherine felt a little sorry, if it wasn't for the fact that the workflow hadn't been completed, she would have wanted to continue flirting.

At this point, she snuffed out the cigarette at her fingertips, her face turned pale, and said, "I'm going to record next, please prepare for it." ”

The West attaches great importance to privacy, and the woman's meaning is to get Yang Fan's approval, and the two sides reach an agreement.

"Yes, you say. "Yang Fan is much more relaxed, public and private should be clear, and he has no intention of connecting with people in the West.

The transparent voice recorder was about the size of a regular pencil, and with a click, she pressed a button and placed the recorder on the side of the ashtray.

Catherine picked up the clipboard again, put her back on the back of the rattan chair, and entered the working state with the most comfortable movements, and said: "Mr. Yang has let me see the artistic accomplishment of oriental pianists in the West, and I think the major newspapers have reported the grand occasion in the morning. I won't say more here. ”

"What makes us wonder now is that Mr. not only fills in the regret of the sighs of the gods, but also excavates the connotation inside and raises the theme. Did you name him?"

"The fourth part, the starry sky is dark. Yang Fan named it solemnly, "At that time, because of the limited vision, human beings could only move on the earth at that time. And in this magnificent era, human beings should look at the universe and the sea of stars, we don't need the attention of the gods, we want to be the creator ourselves. ”

The words were sonorous and powerful, Yang Fan thought so, and he was willing to do so. Human beings have been in the internal friction of the earth for too long, too long.

"Is it dark in the starry sky?" said Catherine, as if returning to the music, "I did see the stars and the Milky Way in my husband's playing, but alas...... Didn't finish listening. ”

This has to be said that it is another century-old swan song. The earth's industrial system could not keep up, and the piano could not withstand the speed of keystrokes, so it collapsed and spontaneously combusted first. Breakthrough in materials engineering, it's too hard.

"It's only half a chapter, so let's call him the crippled sea of stars. "Yang Fan is very disappointed, if this piece is complete, every time you listen to it, you can feel the beauty of the starry sky.

It is human progress to have all the people on the planet look above the stars, and not on the borders of neighboring countries.

"Well, Sir is the author, and the fourth starry sky, like Chopin's Genesis, will surely be passed down for hundreds of years. ”

"Here, on behalf of the general audience, I would like to inquire again, when Mr. is not old enough to compose famous songs, why can he complete the great cause of the century-old music industry?"

She had been thinking about Catherine's question for several days, and when she received the information of the young man opposite a few days ago, it came to mind.

Yang Fan smiled slightly and said: "I also explained to several masters that day, but the gap is too big, and it is obviously difficult for several masters to accept, I am afraid that this statement is a subversion of the music industry." ”

Catherine's eyes lit up, she has an insider, she doesn't care about the music industry, Time magazine, even political celebrities often interview, the music industry is only a small part of it, and she is not afraid of offending.

"Sir, please say it, as an answer to the public. Catherine urged.

"Well, I'll say it again. Miss Catherine should know that I am here to participate in the World Mathematics Olympiad, and I will tell you now that mathematicians can play the piano and even deduce classical repertoire, do you believe it?"

Yang Fan smiled, first in the music circle, in a few days in the financial circle, and then in the ...... It's time to make a name for mathematics, and his ultimate goal is to let the world know that mathematics is king.

And Time Magazine, which obviously has that influence, can be used to spread the idea.

"What?" Sure enough, Catherine was amazed, mathematics is reason, music is sensibility, and they are completely two branches, "How is that possible?"

The following passage may be more technical, and if Miss Catherine does not understand it, she can find a mathematician when she compiles the information. Yang Fan said.

Catherine nodded, concentrating, it doesn't matter if you don't understand, you must remember, this is really a big bomb of music.

"I've done a talk show before, and the piano keyboard is the first few numbers in the Fibonacci sequence."

"As the concept of music and mathematics deepened, I found another problem, the piano keys are arranged in proportional sequences. What is the frequency of each key of the piano and what is the relationship between the frequency arrangement?

"What is the reason for the arrangement of the black and white keys? Why do some sounds work together in harmony and some sound groups fight? It turned out that mathematics can actually explain these problems. ”

"The piano has a total of 88 keys, and their respective frequencies form a proportional sequence, and the scale factor is 2 to the 12th power......

"Wait a minute, please wait for Mr. Yang. Catherine hurriedly interrupted, took out her phone from her bag, turned on the recording, and she wanted to double back up.

The content is so profound that she can't understand it at all, and she will find an expert to verify it after the interview.

She absolutely believes that in a few days, this issue of Time Magazine's hairstyle will explode, and the saliva and war in the mathematics world will burn to the music world.

It just so happened that Yang Fan rested for a few seconds to adjust his thinking, and the following statement was even deeper.

"There is a lot of time to hear and a major and minor key, C major is to use C as Do, and then take the interval as full, full, half, full, full, full, half, ......."

"Hearing depends on the waveform. If the waveform is simple and periodic, then it will sound pleasant, otherwise it will not be good to the ear. The major third chord is Do+Mi+So, i.e. 1+3+5, which is a concordant chord ......"

"The basic sections are transformed into a piece of music in proper and harmonious proportions and intervals, and finally played on the instrument......"

Speaking of this, Yang Fan stopped, and Catherine, who was in a daze, said with a blank face: "No?"

She didn't understand it anyway, so she casually asked.

"All musical masterpieces can be transformed into mathematical formulas, and whether those perfect mathematical formulas can be transformed into music, I don't know yet, and I believe that one day, someone will think of solving this speculation. Yang Fan looked forward to it, this day will not be far away.

"This ...... This ......," Catherine trembled and couldn't even finish her words, and suddenly, a flash of inspiration flashed, "Is this a conjecture? Is this a mathematical conjecture created by Mr. Yang?

The explosion thunder exploded in Yang Fan's head, and then his whole body shivered.

New mathematical conjectures have emerged.