Chapter 5 The Shocked Professor
Li Miaomiao was speechless: "You are here every day and can you get a 90-plus exam in the final exam?"
"If you are from the literature department, I can still think that you are looking at the computer and reading literature, but the problem is that the mathematics department courses require a lot of calculations and practice."
She was a little disappointed, disappointed by the other person's arrogance.
Zheng Li spread his hands: "Let's go and see."
Li Miaomiao nodded: "No need to see, now I need some questions here to help you answer."
"No problem, but you have to charge." Zheng Li thought that the first order was finally here.
Li Miaomiao didn't worry about the charging issue, "You can help me answer it first, and if you solve it, I will transfer it to you immediately on WeChat."
After saying that, she took out the draft paper prepared in her schoolbag: "Here!"
"Suppose v is a finite dimensional Euclidean space, v1 and v2 are non-trivial subspaces of v and v=..."
The most troublesome thing about the Earth's mathematics is the ranking, finite dimensions, and Euclidean space. These concepts and corresponding nouns are completely different from those of Zheng Li's education.
Zheng Li finished scanning the question at a glance and said directly:
"This is a very typical problem that uses matrix extension thinking to solve. First, let dimv1=m, dimv2=n, let m, n>0. Take a set of standard orthogonal bases of v1 and v2 respectively. They are combined into a set of bases of v..."
While Zheng Li said, he wrote on the draft paper, and he was just finished writing 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, and her first reaction was that "the handwriting was a bit ugly."
After Li Miaomiao looked at the answer on the paper carefully, her beautiful eyes staring at the other party, as if she wanted to get to know Zheng Li again.
Although she couldn't understand whether Zheng Li's answer was right, combined with Zheng Li's explanation, Li Miaomiao's intuition told her: This should be correct.
Li Miaomiao came prepared today. Although the couple ended for a week, Li Miaomiao still regarded Zheng Li as her friend, and she had an inexplicable loyalty towards her friends.
She specially found difficult questions from the Internet to make things difficult for Zheng Li, in order to make the other party realize his mistakes and get back on track.
For most college students, the most important thing in their careers is grade points.
The question she found was a question in the final of the college student mathematics competition: "Have you done it before?"
Zheng Li shook his head: "No, can such a simple question still need to be solved before it can be solved?"
Li Miaomiao nodded: "Okay, it's only five minutes now, I still have two more here, so please help me solve it."
“let f:r->r be a continuous function which satisfies
sup|f(xy)-f(x)-f(y)|
prove sup|f(x)-2014x|
“let f1,f2,f3,....,fn are analytic functions on d={z||z|<1} and continuous on .....”
Zheng Li glanced at the question. If he had just arrived, he might not be able to understand the question. Fortunately, when he was searching for information online through computers these days, he had almost always browsed English pages.
English in mathematics is very simple, and the grammatical structure is simple and cannot be simple. As long as you know the meaning of the noun, you can understand it.
"The first question is that f(x) is a continuous function on r, and its definition and value range are both r, and then the condition is given when n tends to infinite, divide f(n) by n will equal n. Then let you prove sup|f(x)-2014x|
"For x∈r, there is always a fact that n exists, so that x is between n and n1. Therefore, |f(x)-f(n)-f(x-n)||f(x-n)-2014| will be less than or equal to 2msup|f(t)-2014t|, where the value range of t is 0 to 1, and the closed set is taken."
If Li Miaomiao listened to Zheng Li's speech carefully at this time, he would find that his speech rhythm was very stable and his tone did not change.
But her mind was full of: Who am I, where am I, what is he talking about.
Like the first question, Li Zheng wrote while talking, and wrote the front and back of the two draft papers in full.
After writing, Zheng Li pushed her to her, "If you don't understand, you can ask me. If you don't understand, you can read the answer I wrote first. Do you have any steps to which step you don't understand?"
Li Miaomiao's face flushed, and she was embarrassed to say that she didn't understand anything.
The Mathematics Institute basically has classes every afternoon, and the study room is usually empty except for the exam week. So no one else comes to disturb them.
Li Miaomiao shook her head and cleared up all the content she had just heard from Zheng Li: As a person who studies advanced mathematics, you don’t need to know so much.
"You wait for me for a while, and I'll take it to my friend to show me if what you're talking about is right."
Zheng Li nodded and said it didn't matter. He had full confidence in himself. As a mage who had lived through a long time, this kind of basic analysis was completely difficult for him. He had not had any difficulty in eating dessert after a meal.
The original way of the earth conveying knowledge surprised him, and the efficiency of listening, speaking, reading and writing was too low.
The way of transferring knowledge does not match the level of development of technology.
Zheng Li was in the Master Academy back then. After paying through Magic Network, everyone downloaded the purchased knowledge into his brain. A trace of nostalgia flashed in his eyes. Countless years have passed since his college life.
In his opinion, the acquisition of knowledge on the earth is too cheap, and the Internet allows everyone to access massive amounts of information.
After taking a photo of Zheng Li's answer, Li Miaomiao sent it to Professor Liu, she got up and walked outside the study room, called directly and asked:
"Uncle Liu, please help me see if these questions are written correctly? Please give me a message. I'll ask my dad to invite you to dinner later."
Liu Gui is a professor in the Department of Mathematics of Jiangcheng University. His parents and Li Miaomiao have been colleagues for many years, so they have watched her grow up since childhood.
Liu Gui was in the office of his Mathematics Hospital at this time. After receiving the call, he shook his head helplessly: He needs to trouble him if he is a freshman.
He glanced at his phone and his expression became serious.
Liu Gui thought it was just a freshman, but he found that what the other party brought was actually the test questions of Qiusai in the first half of this year.
He guided junior students to participate in the Qiusai this year and was deeply impressed by the topics of the Qiusai this year.
Liu Gui turned on the computer, looked carefully on the computer screen, and then immediately dialed the phone:
"I wrote it well, but it was definitely not what you did. Not to mention that the handwriting is completely different from your handwriting, this topic is not something you can do alone."
Li Miaomiao refused: "Don't you underestimate others? 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 for the first-year exam of the Mathematics College. With your high school math level of only 120 points, you will definitely not be able to do it."
"The other two analytical questions are all about this year's Qiusai. If you can do it, you won't be able to learn liberal arts mathematics."
Liu Gui showed no mercy: "Tell me, who did you find?"
After being criticized, Li Miaomiao disagreed and laughed, "Hehe, have you told me first that you did the right thing?"
Liu Gui nodded and said, "There is no problem in doing all three questions, the idea is very clear, and the solution is also the simplest solution."
"Qiu Sai only finished the competition in the first half of this year. The formal answer can't be found outside. Tell me, who did you ask for?"
"I am leading junior students this year. When I was selecting the exam, I didn't find anyone who could get these two analysis questions right."
Over the years, the Qiushui has been re-educated by Tsinghua University and Peking University, and at most one person from the University of Science and Technology of China has been won. Even if the mathematics department of Jiangcheng University can rank among the top ten in China, it depends on luck to win the bronze medal in the Qiushui.
Li Miaomiao smiled and said, "He is a freshman in your academy. His name is Zheng Li."
Chapter completed!