All-round mathematician

Chapter 115 Advanced Algebra Audit Progress
The three chatted about their high school life for a while, and Yang Fan could tell that the two of them still missed their high school life.

"It's not nostalgia, Yang Fan, let me tell you, my brother is suffering."

He was fine just now, but suddenly Pan Zhe's painting style changed suddenly, his stomach was full of sourness, and he was unspeakably depressed.

Su Jun'an nodded sympathetically, and said: "In high school, I was a top student, and I was crushed by many people. In college, I don't care about farts, and I mainly depend on my appearance and gold."

When it comes to appearance, Su Jun'an is five-year-old and three-faced, he really doesn't look like Mizuki's student.Pan Zhelu is seriously humanized, and he can get by. It's not as exaggerated as imagined.

"9 to 1, why didn't I get closer, I chose Zhedong, because I was harmed by the so-called TOP2." Pan Zhe patted the canteen table, venting his dissatisfaction, and almost rolled over.

TOP2 is the two top universities in Huaguo. There is a joke describing the structure of domestic universities. There is only the first and no second.Only the third, not the fourth.

Su Junan explained: "The ratio of female students in the mathematics department of our school is 9 to 1. In fact, in many 211, 985, the ratio is basically 1 to 1. It will be very convenient to transfer to finance and economics at that time. Because the top science students in high school are often men, it is really exciting. I can't laugh or cry."

Yang Fan understood that the training camp a few days ago was full of men, and the finalists were also men, and the female students were purely soy sauce.

"Yang Fan, hurry up and get out of the order. Entering the Shuimu Mathematics Department is entering the monk's nest. We can't compete with those second generations. We will come, have resources, and have seen various scenes. Hey."

Pan Zhe spoke the heartfelt voice of a man. Compared with chasing girls, he must not be those second-generation opponents.

When the second generation was a student, it was relatively easy, because the resources were sufficient, the education methods received, the vision, the clothes, etc., were a little higher than hanging silk.

Yang Fan secretly compared with his classmate Liang Yi, the rich second generation. If it wasn't for the halo of being a top student, the overall score would not compare to him.

That guy's winter clothes are like human-shaped RMB, costing tens of thousands. As for Yang Fan, except for the down jacket, which costs a few hundred, everything else is a famous brand of a certain treasure.

"Remember, junior, you only need to do two things in college, sister and sister. As for professional courses, put down your old face and stuff a cigarette at the end of the semester. In fact, the difficulty of make-up exams will also be reduced."

Pan Zhe looked like someone who had come here, and pointed out Yang Fan's future life path, "Okay, finished eating, the first section, Gao Dai, have you brought the book?"

There are also several freshman courses for mathematics majors, such as high-level professional courses, score points, and analytic geometry. Anyway, Yang Fan decided to participate in university physics and physics experiments.

He patted inside the black satchel and said, "It's all ready."

In college, there is no such thing as a schoolbag. Girls will always have a small bag, and there are many things in the bag.Boys can go to class with a pen and a book.

The three of them walked together, came to a red and yellow ancient building, and ran to the third floor.Pushing open the door of classroom 312, the 30 students present immediately looked towards the door.

The counselor, Lao Cui, has taken care of the students in the group, and there is an auditor today.It was halfway through the freshman year, and a new student suddenly appeared, and the mathematics application class was naturally very curious.

"The rich second generation is definitely using money. And the connections are all over the world."

"Old Cui's old family, they're the ones who come in."

Discussions in the student group turned against Yingtian, and they asked Pan Zhe and Su Jun'an who lived in the same dormitory, but they couldn't explain clearly.

Yang Fan followed behind the two of them. Seeing that everyone had turned into Sherlock Holmes, he simply walked to the podium and said, "Big brothers and sisters, I will enter Shuimu in September, and I will make a pilgrimage first. Please take care of me."

"I thought it was the second generation, and I still want to smoke cigarettes in the future."

"It's Lao Cui's relative, so we need to save face and prevent small reports."

"It's the door of the dean of mathematics, don't be confused."

Yang Fan smiled slightly, nodded and went down to the corner seat at the back of the class, and sat down quietly.

"Sure enough, it's 9 to 1. No wonder the two roommates are full of complaints."

He glanced at it and got the data, a total of 32 students, three female students.

After discussing a few words among the students in the class, they didn't pay any more attention, only remembering that there was such an auditor.

Five minutes later, the professor who was sparsely above his head stepped into the professor and frowned slightly when he saw the independent seat in the class.

Small class professional courses are not allowed to sit in. Some classes have a fixed number of seats, so don’t even think about skipping classes.

Immediately, he remembered the care of the dean yesterday, suppressed his displeasure, and went to the podium with a blank expression.

"Everyone, we are talking about vector spaces recently. Today we will talk about the second section, the linear correlation of vectors. Please turn the book to page 153..."

Under the stage, there was a sound of flipping through books, and the students were concentrated and single-minded.

Yang Fan took out the new book that still had a fresh scent, turned to the page, and listened attentively to the professor's explanation.

"In a set of elements of a vector space, if no vector can be represented by a finite linear combination of other vectors, it is called linearly independent or linearly independent, and vice versa is called linearly dependent."

"For any set of vectors, either they are linearly independent or they are linearly dependent."

"The necessary and sufficient condition for the linear correlation of vectors a1, a2, ..., an (n≧2) is that one of the n vectors is a linear combination of the remaining (n-1) vectors."

……

Yang Fan felt very interesting when he heard it. The advanced generation is actually an expansion of the line generation. Feng Yao had read the book on the line generation in advance for him. It also contained matrix knowledge, and his proficiency level was already 61%.

Following the explanation, thoughts echoed in my mind, and suddenly the system sounded: "Ding Dong, "Linear Algebra and Its Application", receive 1 to 10 bits of information per second, and the proficiency will increase by 1%."

Yang Fan's mouth was O, the surprise came too suddenly.Listening to lectures can actually speed up proficiency?That's not bad.

Wait, why didn't you find out before?He remembered that after getting the system in high school, he focused on brushing the books, and rarely listened to the teacher's class. It was because of the increase in difficulty that it was taught faster by humans.

Yang Fan prefers the latter, some things must be taught by others, it must be more difficult to comprehend by oneself.

"Primary and middle schools rely on self-consciousness, and preview and review account for a large proportion. After college, it depends on teaching. No wonder it is another order of difficulty."

The efficiency is countless times higher than that of him brushing through the books once, and dozens of books in a section. In order to speed up, he considers the problem of taking lessons in the future.

After making up his mind, he stopped paying attention to the progress and immersed himself in the ocean of knowledge.

"A sufficient condition for a vector to be linearly dependent is that it be a zero vector."

"For example, the three vectors (1, 0, 0), (0, 1, 0) and (0, 0, 1) in the three-dimensional Euclidean space R are linearly independent. But (2, 1, 1), (1, 0, 1) and (3, 1, 2) are linearly related because the third is the sum of the first two."

……

In two full math classes, Yang Fan's linear algebra application progress increased by 2%, and his advanced algebra proficiency increased by 1%.

The two are similar and intersected, with many repetitions, and they were settled into two books by the system.

"These are just the basics. After the branches of mathematics are refined in the future, there will only be one subject."

Having found a new way to cheat, Yang Fan is in a very good mood.Within ten years, we must reach the top and win awards.

(End of this chapter)