I Just Want to Be a Quiet Top Student

　　 A game of basketball made Shen Qi and Xu Rui reconcile as before. The two drank iced Coke outside the school shop for comfort.

　　 After returning to the classroom, Xu Rui no longer looked so bright, the honey domineering disappeared, and replaced by listlessness.

Shen Qi has not forgotten the math problems Zhang Wanbang left him, and there are still three problems yet to be solved. The difficulty of these three problems is further deepened. It is necessary to comprehensively use the concept of Frobenius matrix rank, Laplace's theorem, and Clay Mu’s Law, as well as the subsequent inferences put forward by Fourier and Poincaré, involve the theoretical system of infinite-order matrices.

　　 Although Gao Dai is abstract, it is after all an introductory course for the Department of Mathematics. Even if you can't fully understand those abstract concepts, you can barely follow the routine by rote memorization.

　　 Shen Qi followed the routine very laboriously, working until 10 o'clock in the evening, and finally completed the answers to the last three questions.

　　 The next morning, Shen Qi came to Zhang Wanbang's office and handed the answer sheet to Zhang Wanbang.

　　 "It seems that you have encountered some obstacles." Zhang Wanbang took a quick glance at the answer sheet, and Shen Qi encountered obstacles in his expectation.

　　 "Yes, Mr. Zhang, since the matrix is ​​derived from the determinant, what's the use of quaternion? I thought about it all night and didn't understand it. In fact, I was blind to the last three questions."

"I learned applied mathematics first and then transferred to a normal teacher. I didn't want to understand this until my sophomore year. Shen Qi, please go back to the classroom first and come to me at noon. In addition, I must remind you not to devote all your energy to it. In mathematics, you don’t want to learn Chinese? You don’t want English? I am your math teacher and your head teacher. I can tell you very responsibly that the college entrance examination is not just a course in mathematics."

"Oh okay, I know."

　　 Shen Qi returned to the classroom and took out "Advanced Algebra" to continue studying, but did not attend the Chinese class.

　　 "I can't extricate myself from being addicted to math, how can I break it?"

　　 After school at noon, Shen Qi came to Zhang Wanbang's office again.

　　 Zhang Wanbang gave him two pieces of paper, one was the review of the five questions yesterday, and the other was written on the new five questions.

　　 After lunch, Shen Qi began to study the two topics.

　　 Zhang Wanbang reviewed the five questions yesterday and left a note in the blank space of the answer sheet:

　　 "Although mathematics is just a language or tool on the surface, most of its vivid concepts can provide the key to new areas of thought."

　　 "The determinants and matrices are completely reforms in the language of mathematics. Shen Qi, you must be deeply aware of this in order to make a difference in algebra."

　　 "In the third question, you have misunderstood the Frobenius characteristic equation. Remember, the smallest polynomial is the polynomial with the lowest degree satisfied by the matrix, and it is unique."

"The fourth question, f(λ)=(λ-λ1)^k1(λ-λ2)^k2...(λ-λi)^ki, I did not witness your problem solving process with my own eyes, but I can say with certainty , You are mimicking the Jordan standard."

　　 "However, you can justify the correct answer to prove that you have two tricks. At least you know how to explore the routine, but this routine is not the simplest one."

　　 "The meaning of mathematics is to solve the most complex problems in the simplest and most efficient way."

　　 "Now I tell you the most concise routine of Jordan Standard, let J=XXXX..."

　　...

　　 Zhang Wanbang’s notes on the answer sheet are the essence of what he has learned throughout his life. He uses a limited space to interpret the most core mathematical ideas and skills, and he is instructing Shen Qi.

　　 You can’t learn this in textbooks, at least not as specific, focused, and targeted as Zhang Wanbang’s comments.

　　 Shen Qi understood in a second, and the bottleneck that had troubled him for more than a week broke through in an instant: "That's it, that's how it is! All of what Mr. Zhang wrote is the essence, and I benefited a lot!"

　　 A line of text flashed out from the system: "The host has been mentored by experts in the field of mathematics, and he has learned new professional skills. The points for learning hegemony are +100."

"100 points! It's so spicy!" Shen Qi jumped up excitedly. Teacher Zhang, you are an expert. You teach me knowledge and help me to collect points. A thousand words can be summed up in four words: Shien is like a mountain. .

　　 Shen Qi absorbed and digested five questions from yesterday, numbered this "secret volume" as "Internal Reference 1" and put it in his school bag.

　　 Next, Shen Qi began to study "Internal Reference 2", which is the 5 questions Zhang Wanbang asked today.

　　Mathematics is different from other natural sciences. It is impossible for this subject to verify theoretical hypotheses through experimental equipment.

　　 Mathematics experiments mainly rely on brain supplements. After sufficient insight and understanding of various theories and concepts, the proficiency is improved through derivation, proof, and hypothesis.

　　 In the next two weeks, Shen Qi’s daily routine was to go to Zhang Wanbang’s office every morning and noon to deliver the “internal reference”.

　　 For Shen Qi, Zhang Wanbang has two identities. In the classroom, Zhang Wanbang is an ordinary mathematics teacher who explains the knowledge of high school mathematics.

　　 Outside of the classroom, Zhang Wanbang is the "superior" who inspires Shen Qi, and he spreads deeper knowledge of mathematics.

　　 "The host listens carefully to a physics class, and the learner scores +1."

　　 "The host did not listen carefully to the Chinese class, and the score of the master is +0. But the host cracked a math problem in the language class, and the score of the master was +5."

　　 "The host has performed physical exercises such as running and playing ball for 1 hour, and the score is +1."

　　 "The host has been mentored by an expert in the field of mathematics, and he has learned new professional skills, and his points are +100."

　　 "The host learns "Mathematical Analysis" by itself for 3 hours, and the points for learning tyrants +10."

　　...

　　Shen Qi’s time schedule is very full. He earns a steady income of 120~130 Xueba points every day.

　　The channel with the greatest contribution is "getting expert advice in the field of mathematics", that is, the extracurricular interaction between Shen Qi and Zhang Wanbang.

　　 Zhang Wanbang explained high school mathematics in the classroom, but he could no longer provide Shen Qi with even one point of learning tyrants.

　　 But in the more professional field of mathematics, Zhang Wanbang stably provides 100 Xueba points to Shen Qi every day.

Driven by the "master-apprentice mode", Shen Qi's mathematical actual combat ability has been further improved. His "internal reference" series has been collected as "internal reference 15", and the research scope has been extended to indefinite integrals, Fourier series, and double-leaf rotating double Surfaces, ellipsoids and other fields cover several branches such as high algebra, mathematics, and solution. Shen Qi is now going to take the professional exam for the freshman and sophomore of the Department of Mathematics. UU reading www.uukanshu.com should not fail.

　　 April is a month of rapid progress for Shen Qi.

　　 On April 20th, Shen Qi had accumulated 4205 Xueba points: "Finally, I can upgrade again."

　　 Mathematics Level 2 is upgraded to Mathematics Level 3, which requires 3000 Xueba points.

　　 "The system, I want to upgrade, the math index is upgraded to level 3."

　　 "After deducting 3000 Xueba points, the host's mathematical indicators are upgraded to level 3."

　　 Level 2 and Level 3 are both defined as advanced levels by the system, which can be understood as elementary advanced and intermediate advanced.

　　Host, Shen Qi

　　 age, 17

　　1, Mathematics Level 3 (0/5000)

　　2, physical education level 1 (0/1000)

　　3, language level 0 (0/100)

　　3, English level 0 (0/100)

　　3, Physics Level 0 (0/100)

　　3, Chemistry Level 0 (0/100)

　　3, creature level 0 (0/100)

　　3, history level 0 (0/100)

　　3, Geography Level 0 (0/100)

　　3, political level 0 (0/100)

　　 Balance Xueba Points: 1205

　　 The subject ranking system is carried out. Shen Qi's mathematics index is far ahead at level 3, the sports index is ranked second at level 1, and the other eight subjects are tied for third at level 0.

　　 Mathematics level 3 to level 5, a total of 15,000 points are required.

　　Shen Qi has a steady income of 100+ Xueba points every day, and 15,000 Xueba points can be obtained in a foreseeable time.

　　 After a calculation, Shen Qi will be able to accumulate 15,000 Xueba points in 4 months at the latest, and he will definitely be the first to hit level 5 in mathematics before graduating from high school.