All-round mathematician

Chapter 154 [-] Yang Fan's Mathematical First Conjecture
New York, USA.

It was already the next morning, after the performance in the evening, the manager sent Yang Fan to the hospital. After examination, the injury was not as serious as imagined. He put on a pack of anti-scalding cream and disinfected white gauze, and then he passed away with some medicine.

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

In order to take care of her nearby, Teacher Qian specially changed the bed to stay with Yang Fan.When the latter woke up, Teacher Qian pointed to the breakfast on the bedside, and said, "I've ordered for you, you are a celebrity now, try to move around as little as possible, and it won't be clear if it will affect Orsay. That...can you brush your teeth by yourself? "

The thick gauze around the ten fingers is bloated and ugly, and Yang Fan's movement will hardly affect it: "Just don't get wet, everything else is fine."

When washing the cough, Teacher Qian also helped fetch water, which made Yang Fan very embarrassed.This time it's a math competition, so many things happened.

"Cultivate well, and it will be good if you can grasp the pen after three days. In fact, Yang Fan, the rational thinking of Westerners is worse than ours, and they pay less attention to the Olympiad. On the contrary, your excellence in the piano is more recognized by them." Qian The teacher was a little disappointed.

"It's only at the middle school level. Teacher Qian, with top academics, is valued everywhere."

Yang Fan was eating breakfast in the room, and Teacher Qian moved a stool against the window sill, with several newspapers and magazines in hand.

"It's amazing, the headline on the front page of the New York Daily." Teacher Qian read it on the spot with a smile, "The youngest pianist among the Chinese, praised by several masters as the No. 1 piano in a century."

"Culture and Art News, the keystroke speed is so fast that the top piano spontaneously ignites, coupled with the perfect music quality, this is a miracle in the history of music, and the same phenomenon will not appear in a hundred years."

"Manhattan Morning Post, the third part is so perfect that the gods cast their eyes on it, and the theme of the fourth part is elevated again. The struggle of mankind will go to the starry sky, the galaxy, and the edge of the universe."

……

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

Within a few minutes, the landline in the living room rang, and Yang Fan was taken aback for a moment, then remembered that the phone had been turned off all night, and Li Yunfei had called the landline again.

"Hi, I'm Yang Fan."

"Yang Fan, I know you don't want to contact the media. If they can't find you, they will come to me. I have recommended more than 70 interviews for you, but you must go to this one. This is the world's recognition of you, and even more so. It can enhance the international image of Chinese people.”

"Newspaper? TV?" Yang Fan asked.

"Time Magazine."

The influence of Time magazine has spread throughout the world.Every person on the cover is a household name, a political celebrity, a financial giant, a global movie star, an academic master, and so on.

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

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

This is a professional woman in her thirties, with golden wavy hair, a snow-white shirt wrapping her majestic chest, and a black short skirt exposing her slender long legs.

The sexy lips opened and closed, and said: "Hello, Time Magazine Catherine."

Yang Fan raised his wrapped finger and said, "Sorry, I'm Yang Fan."

Li Yunfei left after saying hello, and closed the door of the small reception room. When he got outside, he let out a long breath. Time Magazine, even he had never been published, unfortunately, such things are not enviable.

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

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

"Crack." With a sound, the lighter was lit, and Catherine Qianqian held a cigarette between her fingers, took a big puff, and said, "Smoking?"

"Thank you." Yang Fan hurriedly waved his hand, he was not yet of age, and had no such interest.I heard that men who smoke will lose points.So what about women smoking?

The exhaust fan on the top of the head was turned on, the smoke was rising, and the coolness of women's cigarettes entered her stomach, finally brought her back from the baptism of music, Catherine was shocked, and said in an extremely exaggerated tone: "Very, very wonderful concert , the unimaginable swan song of heaven and earth, I can no longer describe its perfection, its nobility, and its holiness in words."

The media people have their own channels, and the influence of Time Magazine is also world-class. Catherine's seat is very forward, so the taste of music she hears is naturally better.

Speaking of playing music just now, the strong woman at work could no longer maintain a calm demeanor, and shouted eagerly: "Mr. Yang, I'm sorry, we have investigated your background in private. , our first reaction is always that it is speculation. Naturally, we cannot rule out doubts about Mr.'s age and ability."

"In the end, Mr. gave all of us a resounding slap. It has been 170 years since Mr. Chopin passed away, and the expectations of generations of the art world in the world have finally been fulfilled in Mr.'s hands. I think Mr. Chopin will be gratified when he knows the news."

"Miss Catherine is too polite, I'm just lucky." Yang Fan couldn't stand this woman's enthusiasm, she kept talking, what's the point of her body getting closer.

He hurriedly moved his butt off the rattan chair, and hid himself across the round table, which was the farthest away.This woman is very tasteful and beautiful.It's just that I'm getting older with myself, so I can't be too harsh.

Catherine naturally noticed Yang Fan's small movements. She licked her sexy lips and said seductively, "Huaxia people are too reserved. If you want, sir, we can have dinner together some other day."

Catherine really had this idea. The man in front of her was young, energetic, and talented. Using the vocabulary from the East on the Internet, he was called Xiao Xianrou.

For women who are more than 25 years old, the favorite is fresh meat.Refreshing, good physical fitness.

"I don't have time, I still have an exam, sorry." Yang Fan leaned back and tried his best to get further away.Western women are also too direct. The one in front of her doesn't know how many interactions she has had with people, so she would only go to talk to her when she was in a daze.

"Well, it seems that Mr. Yang still has important matters." Catherine felt a little regretful, if it wasn't for the fact that the work process hadn't been completed, she still wanted to continue flirting.

At this point, she snuffed out the cigarette on her fingertips, said with a serious face, "I'm going to record now, sir, please prepare."

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

"Okay, tell me." Yang Fan relaxed a lot, and he had to distinguish between public and private, and he had no intention of making contact with people in the West.

The transparent voice recorder was about the size of an ordinary pencil, clicked, she pressed a button, and put it next to the ashtray.

Catherine picked up the writing board again, put her back against the back of the rattan chair, and entered into the working state with the most comfortable movements, and said: "Mr. Yang let me see the artistic accomplishment of Eastern pianists in the West, and the major newspapers must have reported the grand event in the morning. I won’t say any more here.”

"What makes us wonder now is that Mr. has not only filled the regret of the gods, but also digs out the inner connotation and raised the theme. Did Mr. have a name for him?"

"The fourth part, the starry sky is dark." Yang Fan named it solemnly, "Chopin was limited by his vision, and human beings could only move on the earth at that time. But in this turbulent and magnificent era, human beings should look at the cosmic sea of ​​stars. , we don’t need the attention of the gods, we have to be the creators ourselves.”

The words are sonorous and powerful, Yang Fan thinks so, and he is willing to do so.Human beings have been in conflict on the earth for too long.

"Is the starry sky dark?" Catherine murmured, as if returning to the music, "I did see the starry sky and the Milky Way during Mr.'s performance, but unfortunately... I didn't finish listening."

It has to be said that it is another century-old swan song.The earth's industrial system couldn't keep up, and the piano couldn't bear the speed of keystrokes, so it collapsed and spontaneously ignited.Material engineering breakthroughs are too difficult.

"It's only half a chapter, so let's call him Incomplete Xinghai." Yang Fan was very disappointed. If this song is complete, every time he listens to it, he will be able to feel the beauty of the starry sky.

It is human progress to let all people on the planet look at the stars, not the borders of neighboring countries.

"Okay, Mr. is the author. The fourth book, Starry Sky and Darkness, like Chopin's Genesis, will surely be passed down as human epics for hundreds of years."

"Here, on behalf of the general audience, I would like to ask again, why can you complete the century-old music industry when you are not yet old enough to compose famous songs?"

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

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

Catherine's eyes lit up. There was an inside story. She didn't care what happened to the music circle. Time magazine and even political celebrities often interviewed her. The music circle was only a small part of it, and she was not afraid of offending.

"Please tell me, sir, as an answer to the public," Catherine urged.

"Okay, let me say it again. Miss Catherine should know that I am here to participate in the World Mathematical Olympiad this time. Let me tell you now that mathematicians have bonuses in playing the piano, and can even deduce classic pieces. Do you believe it?"

Yang Fan smiled, first in the music circle, then in the financial circle in a few days, and later...it is time to justify the name of mathematics. His ultimate goal is to let the world know that mathematics is the king.

And Time Magazine, obviously has this influence, and it can just be used to spread this idea.

"What?" Sure enough, Catherine was very surprised. Mathematics is rational, and music is emotional. They are completely two branches. "How is it possible?"

"The following passage may be more professional. If Miss Catherine doesn't understand, you can find a mathematician when you sort out the materials." Yang Fan said.

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

"I also did 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 discovered another problem. The keys of the piano are arranged in a geometric sequence. What is the frequency of each key of the piano? What is the relationship between the arrangement of frequencies?
"What is the reason for the arrangement of black and white keys? Why do some sounds coexist harmoniously when combined, and why do some sounds fight when combined? Later, I discovered that mathematics can actually explain these problems."

"There are 88 keys in the piano, and their respective frequencies form a geometric sequence, and the proportional coefficient is 2 to the 12th power...

"Wait, please wait, Mr. Yang." Catherine hurriedly interrupted, took out her mobile phone from her bag, and turned on the recording. She wanted a double backup.

The content in it is too profound, and she can't understand it at all. After the interview, she will find an expert to verify it.

She absolutely believes that in a few days, this issue of Time Magazine will be full of hairstyles, and the spiel and war in the mathematics world will spread 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 are aural cycles and major and minor scales involved here. In C major, C is used as Do, and then intervals are taken as whole, whole, half, whole, whole, whole, half..."

"The sense of hearing depends on the waveform. If the waveform is simple and periodic, then it sounds pleasing to the ear, and vice versa. The major triad is Do+Mi+So, that is, 1+3+5, which is a consonant chord... "

"Each basic section is transformed into a piece of music according to appropriate, harmonious proportions and intervals, and finally performed on an instrument..."

Having said that, Yang Fan stopped, and the bewildered Catherine said with white eyes: "Is there any more?"

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

"All musical masterpieces can be transformed into mathematical formulas, and I haven't figured out whether those perfect mathematical formulas can be transformed into music. I believe that one day, someone will think of solving this guess." Yang Fan looked forward to this day. not far.

"This... this..." Catherine trembled and couldn't even finish her sentence. Suddenly, a flash of inspiration flashed, "Is this a conjecture? Is this a mathematical conjecture created by Mr. Yang? A conjecture of the perfect conversion of music and formulas?"

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

A new mathematical conjecture appeared.

(End of this chapter)