All-round mathematician

"Ding dong, if you have a proficiency level of 100 in Introduction to Algebra, you will be rewarded with five achievement points."

Finally, this book is very difficult for the current Yang Fan. I have read it many times and gave it 5 points.

Long time no draw.

"System, I now have several lucky draws and several achievement points."

"Three task reward draws have not been used, and 5 achievement points. There is nothing left." Recently, in order to keep up with the body, there is no room for points.

The physical attribute is a long-term growth, use it if you use it.

"Three character lottery draws start simultaneously."

Inside the heart lake, the turntable that spans the sky and the earth starts, and the names of people are engraved on the turntable, waiting like mosquitoes and ants.

"Ding dong, the lottery is complete. The possessed characters are 25-year-old Nick Kevin, 19-year-old Gongsun Aunt, and 45-year-old Liu Bowen."

As the prestige increases, the drawn characters begin to abandon childhood, starting with teenagers.

Wait, how could there be a woman.

"What's the situation with Mrs. Gongsun? Is she a woman?"

"Great masters have a long history, regardless of gender, and there are many female masters."

This is really true, the female masters who can be named at random, during the period of the Republic of China, they could name a lot.

Pushing it forward, because women's status is low, if they can leave their names in the history books, they are definitely outstanding.

Li Qingzhao is also admired by contemporary women, and Ban Zhao continued to edit "Han Shu" in place of her elder brother, so it is not an exaggeration to call her a heroine.Su Ruolan's mysterious map has amazed the world for thousands of years.

These are only women in ancient famous schools such as poetry and songs.Like that Huang Daopo, who contributed to China and overwhelmed talented women.

However, no matter how nice it sounds, she is still a woman.Yang Fan doesn't want to be gay, who knows the sequelae of female possession.

"What kind of master is Liu Bowen?"

"Master of Metaphysics."

Is it possible for Xueba to be a magic stick? Yang Fan said he could not accept it.

"System, does the master lottery include those who open nuclear submarines, repair sewers, and help elementary school students with their homework?"

"Yes, any field that transcends sentient beings is a master."

Yang Fan was dumbfounded, the lucky draw in the past was really good, and he didn't get a manicure, a professional monkey trick.

The results of the number couplet came out, and Feng Yao's training will start again tonight.

When the time was up, Yang Fan entered the office, and everyone was present, including Feng Yao.

"Teacher Feng, I've finished reading this book." Yang Fan put the Introduction to Algebra on the desk, and this action attracted the attention of the four of them.

The four of them had various expressions and remained silent.

"I guess it's about the same time, I'm ready for you." Feng Yao put away this book, took out another from the drawer, and said, "This is a book translated by the Prospective President of Nankai University in the 90s, so please read it carefully. "

Feng Yao held the book with both hands, and handed it over very carefully.

The 90s was an era of rigorous scholarship. This book is very important.Title of the book "Linear Algebra and Its Applications" Strong, published in 1990.

"There is only one edition of this book in Chinese, and there are not many left in the world."

Yang Fan's English has also reached the third level of high school, but it is obviously not enough to read professional books.

The pages of the book are yellowed, from 1990 to here, nearly 30 years.Flipping through it a little, there are countless writings in the pen, all of which are Feng Yao's reading notes.

"Thank you, Teacher Feng." Yang Fan closed the book and thanked in a low voice.

The four were envious, and they wanted a copy without asking for it. The previous one hadn't been started yet, and the progress was very slow.

"Yang Fan, take it easy and prepare for the winter camp next month."

Feng Yao's eyes were piercing, and if he pointed it out, Yang Fan knew he was talking about basketball, hesitated for a long time, and said, "Okay, I see."

Feng Yao nodded and smiled, and turned to Cui Qiming: "You won the second prize this time, and you are already in the third year of high school. Let's put it down for the Olympiad."

Among the five, the first one to be eliminated was actually No. [-] Qiming.Li Jianxing is a freshman in high school, and his long-term development can be expected.

The girl He Qing, a sophomore in high school, can still work hard for another year. Only Cui Qiming can't continue on this road.

Cui Qiming looked at Ye Haoran, then looked at Yang Fan, and finally said: "Thank you, Mr. Feng, for your recent advice, and thank you, my classmates."

Cui Qiming walked to Yang Fan's side: "It's still the same sentence, help me suppress the source of the river, nothing else matters."

"Okay, I'll try my best."

"Come on. Come on everyone."

Cui Qiming left the small team and will never come back.With his first place in the school every year, the Olympiad is just the icing on the cake. Referring to the previous year's attached high school, Aurora, Nanzhou, Zhedong, etc. are not a big problem.

"Okay, adjust your mentality. Students like Cui Qiming will become company executives in the future and live a worry-free life. On the contrary, if you take the path of majoring in mathematics, you may be so devastated that you have no place to eat." Feng Yao said.

Mathematical Olympiad, to put it bluntly, is also to choose a prestigious school. After graduating from university, one must either enter a large company or enter a professional research institute, which is better.

"Ye Haoran, the headmaster is sure to put you in the winter camp roster, so you have to be serious. For other competitions... you can do whatever you want."

Ye Haoran didn't give up on one of the Olympiads. This kind of science genius was born for the competition.

Feng Yao is not optimistic. Students like Ye Haoran, in the whole world, have a chance to win a bronze medal in every subject, but it is just a chance. The gold content is far worse than a gold medal.

"As for the two of you." Feng Yao pointed to the remaining couple, "You still need to work hard, so take your time."

Feng Yao took out four test papers, and he got serious.

"The progress of these four papers is different. Let's start doing it now. If you can't finish it, go home and do it. I will explain it tomorrow night."

The four took the papers, one for each, Ye Haoran and Yang Fan were in the same senior year of high school, and the other two also followed the schedule.

Feng Yao walked away not long after, and the silence in the office was only the sound of writing.

After 7 o'clock, Yang Fan ran away first.Since it can be done at home, it is the same everywhere.

After arriving home, parents were watching TV in the room, and when they heard the sound of the door opening, Yang Tian came out to have a look, nodded, closed the door without saying anything, and continued watching TV.

Yang Fan went to the small study room, did not do any more papers, and couldn't wait to flip through the book "Linear Algebra and Its Applications".

Turn to the table of contents: Chapter 1, determinants and their applications. Chapter 2, Matrices and their operations.

"A matrix, it turned out to be a matrix."

Yang Fan, who has been bombarded countless times by TV and movies, feels compelling when he sees these two words.

In sci-fi movies, if the name of a matrix does not appear, it cannot be included in the sci-fi category.

Matrix operations, matrix inverses, characteristics of reversible matrices, listen, what a great vocabulary.

Yang Fan, who had a seizure in the second grade, immediately skipped Chapter 1 and started reading from the matrix.

In half an hour, I didn't finish reading a section.

Bracket characters, which are a mouthful to read.A matrix is ​​actually another arrangement of formulas:

（1+2）+3=（3+2）+1，这也是矩阵。

After watching it for a long time, I was confused, but it aroused my addiction to sci-fi movies.

"Just relax, the player hasn't been used for months."

Turn on the computer, open the communication software, Gu Changfeng sent a message: "LOL?"

There is not enough time, and he still asks himself to play games, which is really wicked.

Well, seeing that he is a little sincere, let's play a game first.

This game wasted nearly an hour, and Yang Fan sent a message: "Asshole, professional cheater, don't ask me to play games in the future."

Resisting the temptation of the game, Yang Fan began to reflect, why?Is there any necessary connection between matrix and computer?

Think of The Matrix, think of computer blue screen data.

Yes, or data.

In the computer format, the expressions are both 1 and 0. This is what I am best at and like most.

So, how to see these?

Interpreting the source code of the program, because I only understand the superficial level of operation, I can't understand it at all.

"Yes, wireless, it's a wireless network."

The desktop computer has a closed wired connection, and you can't see anything by yourself.There are two computers at home, the computers are almost Yang Fan’s personal items, and the laptops are shared.

He turned on the laptop and the system booted.When the interface enters XP, the desktop senses infinite signals.

Turn off the sound effect and open a video software.

"boom."

From his eyes, the whole room was filled with green numbers, 1 and 0, completely covering all directions.

Yang Fan's eyes are shining brightly. In his pupils, 1 and 0 are emitted from the infinite router with certain rules, like flowing water, and the numbers are collected to form strips of green light as thick as chopsticks.

"It's the wireless world of data."

The blue water flow-shaped light strip enters the receiving port of the notebook and disappears, and another section of light strip is emitted from the port and returns to the wireless router.

In Yang Fan's eyes, it is full of green, illuminating the space, 1 and 0, one after another in a perfect arc.

He turned off the lights in the room, and in the darkness, only he could see the streamer of data, shining a little bit of light, radiant.

"Beautiful, really beautiful."

Looking at the strips of light, he couldn't help stretching out his fingers to cut off the path of a strip of light.However, a data stream is not a physical body and cannot be manipulated by fingers.

The band of light runs along the skin, around the edge, around the finger, and on its way.The surface of the body also blocked dozens of light bands from surging.

"How should I use it?"

Wireless data, observed by the naked eye, is unique.Without the experience of his predecessors, he was at a loss.

"Harmonica, by the way, data music."

What the harmonica blows out is also a certain kind of data, the note duo corresponds to the word 1.

He took out the harmonica and played continuously. The music characters are white fluorescent, and the wireless characters are green. When the two touch each other, Yang Fan stares nervously. The music penetrates the green light without interfering with each other.

"It's over, it's useless at all."

In the room, there are green light bands everywhere, and the music characters, floating meaninglessly, do not affect the surrounding area, nor interfere with the wireless data torrent.

"Impossible, the word 1 is in my eyes."

Yang Fan still didn't believe it, and tested it several times, but it was completely useless.

"Both are equally intangible. Both can represent characters, why?"

He was depressed, unable to operate, and what he could see was just a beautiful view.And this beautiful scenery, only one can see it, so what's the point.

"Let me understand. The sound is transmitted by vibration and has physical properties, and the signal is purely data, and the two have nothing to do with each other.

Music characters one by one, until they disappear, without any abnormality.

"Of course, music 1 is just for brief expression, and data 1 is not a concept. It may also be a lack of certain factors."

Yang Fan studied for a while, feeling decadent.Wireless data, cannot be changed, cannot be touched.The data tape is there, you can see it, but you can't touch it.

"If I can manipulate the data flow, then I can set up a matrix in the void. Whether it's practice or proficiency, it's obviously impossible."

There is something I didn't think of, and there is something that can be used.

Yang Fan recalled, besides possession, what else does the system have?Physical attributes, mount system, reputation system, weapon system...weapon system.

"Yes, there is also an enchanted pen."

Thinking of the enchanted pen, Yang Fan felt that he seemed to have found that possibility.Enchanting is an incredible existence, so it may not be impossible.

Trembling, he found the pen from his schoolbag, and hastily unscrewed the cover, his fingers trembling forward.

A data -0 in the tip of the pen.

The enchantment Fengrui activates, 0 pops out from the data light belt, castrates to the end, floats to the void and does not move, and it is alone.

"Unexpectedly, it is really useful."

Yang Fan himself was stunned.If the pen picks out a single zero, it can operate countless 0s and countless 1s.

He did the same, connecting dots in the void, and a series of numbers 1-0 flew out of the streamer, standing still.

He quickly turned back to look at the notebook, the video screen flickered and gradually turned black, and the data was received incorrectly.

"Time. See how long the separated data can exist."

For an hour, randomly selected data can exist for an hour, and its green light will weaken in the later stage until it disappears completely.

"The room is a relatively closed space, and because a single data is close to the streamer belt, there may be some kind of charging phenomenon. If it is outdoors, it is absolutely impossible to keep it for such a long time."

"If you use physical isolation, the selected data may exist for a longer time, and if you find a way to recharge..."

"That is a completely independent, surreal void matrix."