As a mage, I just want to pursue the truth

Chapter 5 The Shocked Professor

Li Miaomiao was speechless: "You look at the computer here every day, and you can pass the final exam over [-]?"

"If you are in the Department of Literature, I can still think that when you look at the computer, you are looking at literature endorsements. The problem is that the courses in the Department of Mathematics require a lot of calculations and exercises."

She was a little disappointed, disappointed in the other party's arrogance.

Zheng Li spread his hands: "Let's wait and see."

Li Miaomiao nodded: "You don't need to wait and see, now I need your help to answer some questions here."

"No problem, but there will be a fee." Zheng Li thought to himself that the first order had finally arrived.

Li Miaomiao didn't worry too much about the charging issue, "You help me answer it first, and I will forward you on WeChat immediately after you solve it."

After finishing speaking, she took out the draft paper prepared in her schoolbag: "Here!"

"Assume V is a finite-dimensional Euclidean space, V1, V2 are non-trivial subspaces of V and V="

The most troublesome thing for him in the mathematics of the earth is remembering nouns, finite dimensions, and Euclidean space. These concepts and corresponding nouns are completely different from the education Zheng Li has received.

Zheng Li scanned the topic at a glance and said directly:

"This is a very typical problem to be solved by using matrix expansion thinking. First set dimV1=m, dimV2=n, let m, n>0. Take a set of orthonormal bases of V1 and V2 respectively, and combine them is a basis of V"

Zheng Li wrote on the draft paper while talking, and just finished writing when he finished explaining the solution.

"The essence of this question is to test your understanding of the application of matrix concepts in Euclidean space."

Li Miaomiao snatched the draft paper from Zheng Li's hand, her first reaction was "the writing is a bit ugly."

After Li Miaomiao carefully read the answers on the paper, she stared at the other party with her beautiful eyes, as if she wanted to get to know Zheng Li again.

Although she couldn't understand whether Zheng Li's answer was right or not, combined with Zheng Li's explanation, Li Miaomiao's intuition told her: This should be right.

Li Miaomiao came prepared today. Although the couple was over for a week, Li Miaomiao still regarded Zheng Li as her friend, and she had an inexplicable sense of loyalty to her friends.

She deliberately found difficult problems from the Internet to embarrass Zheng Li, in order to make him realize his mistake and get back on track.

For most college students, the most important thing in student career is grade point.

The topic she was looking for was a question in the finals of the college mathematics competition: "Have you ever done it before?"

Zheng Li shook his head: "No, do you need to do such a simple problem before you can solve it?"

Li Miaomiao nodded: "Okay, it's only been 5 minutes now, I still have two questions here, please help me solve them."

“Let f: R->R be a continuous function which satisfies
Sup|f(x+y)-f(x)-f(y)|<∞(x,y∈R)
Prove sup|f(x)-2014x|<∞(x∈R)”

“Let f1, f2, f3, ., fn are analytic functions on D={z||z|<1} and continuous on”

Zheng Li glanced at the title. If he had just arrived, he might not be able to understand the title. Fortunately, when he searched for information on the Internet through the computer these days, he browsed almost all English pages.

English in mathematics is very simple, and the grammatical structure cannot be simpler, as long as you know the meaning of nouns, you can understand it.

"The first question says that f(x) is a continuous function on R, and its domain and value range are both R, and then the condition is given that when n tends to infinity, dividing f(n) by n will It is equal to n. Then let you prove sup|f(x)-2014x|<∞, let’s say sup|f(x)-2014x|=M, M is finite.”

"For x∈R, it is always true that there exists n such that x is between n and n+1. Hence |f(x)-f(n)-f(xn)|+|f( xn)-2014| will be less than or equal to 2M+sup|f(t)-2014t|, where the value of t ranges from 0 to 1, and it is a closed set."

At this time, if Li Miaomiao listened carefully to Zheng Li's speech, he would find that his speech rhythm was very stable and his tone did not change.

But now her mind is full of: who am I, where am I, what is he talking about.

Just like the first question, Zheng Li wrote while talking, filling the front and back of the two draft papers.

Zheng Li pushed to her after finishing writing, "If you don't understand something, you can ask me. If you don't understand, you can read the answer I wrote first. Do you not understand any step by step?"

Li Miaomiao blushed, she was embarrassed to say that she didn't understand.

There are basically classes every afternoon in the Numerical Academy, and the study room is usually empty except for the exam week.So no one else bothered the two of them.

Li Miaomiao shook her head, and cleared up what she had just heard from Zheng Li: As a person who learns advanced mathematics, you don't need to know so much.

"Wait for me for a while, I'll take it and ask my friend to show me if what you said is right."

Zheng Li nodded and said it didn't matter. He had full confidence in himself. As a mage who had lived for a long time, this kind of very elementary analysis content was not difficult for him at all, and it was not as difficult as eating dessert after a meal.

He was surprised by the primitive way of transmitting knowledge on the earth, the efficiency of listening, speaking, reading and writing is too low.

The way of knowledge transmission does not match the level of technological development.

When Zheng Li was in the Mage Academy, everyone paid through the magic net and downloaded the purchased knowledge into their brains. A flash of nostalgia flashed in his eyes. Countless years have passed since he lived in the academy.

In his opinion, the acquisition of knowledge on earth is too cheap, and the Internet allows everyone to have access to massive amounts of information.

After Li Miaomiao took a photo of Zheng Li's answer and sent it to Professor Liu, he got up and walked outside the study room, and called directly to ask:

"Uncle Liu, please help me to see if these questions are written correctly, please, I will ask my dad to treat you to dinner later."

Liu Gui is a professor in the Mathematics Department of Jiangcheng University. He and Li Miaomiao's parents have been colleagues for many years, and they can be regarded as watching her grow up since she was a child.

Liu Gui was in the office of his Mathematics Academy at this time, and shook his head helplessly after receiving the call: I need to trouble him for the advanced mathematics of the freshman.

He glanced at his phone and his expression became serious.

Liu Gui thought it was just a freshman's advanced math, but he found out that what the other party took over was actually the test questions from the Qiu competition in the first half of this year.

He guided junior students to participate in the Qiu competition this year, and he was deeply impressed by the topics of this year's Qiu competition.

Liu Gui turned on the computer, looked at the computer screen carefully, and then immediately dialed:

"The writing is pretty good, but you definitely didn't do it. Not to mention that the handwriting is completely different from yours, and the topic alone is not something you can do."

Li Miaomiao refused: "Don't you look down on people? Why are you so sure."

Liu Gui: "I don't know where you found that geometry question. The difficulty is at least the final question of the freshman final exam of the School of Mathematics. You can't do it with your high school math test of only 120 points. "

"The other two analysis questions are the content of this year's Qiu competition. If you can solve it, you won't be studying liberal arts mathematics."

Liu Gui mercilessly said, "Tell me, who did you ask for it?"

Li Miaomiao didn't take it seriously after being bullied, but smiled and said: "Hey, did you tell me first that you did the right thing?"

Liu Gui nodded and said, "There is no problem in doing all three questions. The thinking is very clear, and the solution is also the most concise solution."

"Qiu Sai only finished the competition in the first half of this year, and the official answer can't be found outside. Tell me, who did you ask to do it?"

"I took the junior students this year. When I took the selection exam, I didn't find anyone who could get these two analysis questions right."

Over the years, the Qiu competition has been resumed by Qingbei, and at most one University of Science and Technology of China will take over. Even if the mathematics department of Jiangcheng University can be ranked in the top ten in China, the students of Jiang University will have to depend on luck if they want to win the bronze medal in the Qiu competition.

Li Miaomiao smiled and said, "He's a freshman in your academy, his name is Zheng Li."

Liu Gui looked shocked on the other side of the phone: "Is it Zheng Li who claims to be able to answer problems in mathematics analysis and advanced algebra for a fee?"

(End of this chapter)