Xueba's life simulator

Chapter 17 Topic
Because the rented place only had two rooms, Zhou Ming was driven by her mother to live in the living room on the grounds that girls needed privacy, and his original room was forced to give up to Song Lina.

Faced with this sudden change, Zhou Ming had nothing to say.

In the evening, Zhou Ming sat on the sofa with a quilt covering his lap and his laptop on his lap. He opened the newly downloaded software and started writing a thesis.

Since it was directly published in foreign journals, Zhou Ming’s paper was not prepared to be written in Chinese. He directly used English. The title of the paper was “A Dichotomy for the Weierstrass-type functions”, which translates to Dichotomy of Strauss-type functions", a paper that would have appeared several years later in Advances in Mathematics, or Inventiones mathematicae.

Abstract. For a real analytic periodic function φ: R → R, an integer b ≥ 2 and λ∈(1/b, 1)……

Zhou Ming was typing on the keyboard frantically here, and Song Lina quickly ran over. She put her head in front of Zhou Ming's laptop, looked at the full English on Zhou Ming's computer screen, and used her pair of For a freshman in high school, the English level is not bad, and they read the English words on the screen.

"What's the purpose of this one, the abstract..." Song Lina was confused, and couldn't read it after just a few glances. "Brother, what are you doing? Are you writing a paper?"

"Well, I'm writing a mathematics paper." Zhou Ming nodded lightly, his hands didn't stop at all, and he was still typing.

"But aren't you a biology major? Why do you still need to write a mathematics paper?" Song Lina looked puzzled. She wondered if Zhou Ming thought she didn't understand, so he just said some nonsense to fool her.

At this time, Song Lina was only in her first year of high school. She still didn’t understand the concept of an ordinary Chinese undergraduate who had never published a paper before writing a mathematics paper at such a speed in English. She thought it would be the same as when she was writing during the exam. An English composition is as simple as that.

"Dichotomy in the title means one divides into two, dichotomy. The words I use here can be translated as dichotomy. Didn't you learn this word in high school?" Zhou Ming looked at Song Lina next to him.

"No...well, I'm only a freshman in high school, even if I learn later, I won't do it now." Song Lina was a little speechless. If she knew this would happen, she wouldn't come here. She might as well stay in the room and play with her mobile phone.

Song Lina still remembered that the last time she met Zhou Ming during the Chinese New Year, Zhou Ming was still not like this. She didn't expect to see him in less than a year, and Zhou Ming seemed to be a different person.

"The Chinese meaning of Weierstrass-type functions in the back is Weierstrass type function. In mathematics, Weierstrass function is a kind of real-valued function that is continuous everywhere and irreducible everywhere. The name of this function comes from to its discoverer, Karl Weierstrass.

I remember that I should have learned derivatives in high school. Before the Weierstrass function was discovered, mathematicians believed that continuous functions could be differentiated at every point except for a few special points.The Weierstrass function is the first discovered function that is continuous everywhere but not differentiable everywhere..." Zhou Ming said this, and then he noticed that Song Lina next to him looked confused, as if he didn't know him at all. What are you talking about.

"Brother, I just learned sets and elementary functions." Listening to Zhou Ming's ramblings, Song Lina has nothing to love in her life now. How can she understand what kind of Tesla function is said by who knows what kind of talent.

"Well, I forgot that you were in the freshman year of high school." Zhou Ming had finished writing the abstract at this time and began to write the introduction.

"Brother, are you still my brother?" Song Lina asked seeing that Zhou Ming would resume writing his thesis soon.

"What's wrong?" Zhou Ming looked at Song Lina strangely, "Why am I not your brother?"

"It wasn't like this when you went back last year. Why has it changed so much now? And I remember that your English is not very bad? You even passed the fourth level with a little bit of effort. Why is your English so good now?" Song Lina He expressed his doubts.

Zhou Ming said casually, "People always change. Don't worry, I won't take these things with me when I take you out tomorrow. I will definitely have fun when I play."

At this time, Zhou Ming's mother also finished washing the dishes, saw Zhou Ming typing on the computer there, and said, "Don't just hold the computer all day long except your mobile phone. You can accompany your cousin when she comes to play." She's just playing around, and doesn't care when she should."

Zhou Ming was already used to the groundless accusations from his own mother, so he didn't say anything for himself, but continued to write his thesis.

It is not so easy to write a paper. Even if you want to write a paper full of water, it is almost impossible to finish it in a day, not to mention that Zhou Ming will write this paper to be published in Inventiones mathematicae high-quality articles.

Moreover, even if Zhou Ming has the knowledge of the future, he still needs to read a lot of references to write this paper, that is, to search for references while writing.

So when he turned off the computer at night and was about to go to bed, Zhou Ming hadn't even finished writing the introduction.

On the second day Song Lina came to Jinling, Zhou Ming took her to visit two museums. It took a whole day just to visit these two museums. They also ate out at noon and night.

Fortunately, Zhou Ming earned some pocket money as a tutor before, otherwise he might have gone bankrupt after inviting Song Lina to dinner a few times.

It rained on the third day and it was inconvenient to go out. Both Zhou Ming and Song Lina stayed in the house.

"How to write this question?"

Zhou Ming had just finished the introduction of his thesis and started to write the conditions for the second part when Song Lina started asking him questions.

Because she could only stay in the house and could not go out, Zhou Ming's laptop was also used to write papers, Song Lina had no choice but to do her homework honestly.

"The known function f(x)=2|x+1|+ax(x∈R).
prove:
1. When a>2, f(x) is an increasing function on R.
2. If there are two zero points in the function f(x), find the value range of α."

After Zhou Ming finished reading the question, he looked at his cousin seriously, and asked her, "You really don't know how to do this question?"

"No, why should I lie to you?"

Hearing Song Lina's affirmative answer, Zhou Ming looked at the topic she wrote earlier.

There are several choice questions and a few fill-in-the-blank questions in the front, followed by proof questions and applied answer questions.

Soon, after reading the previous multiple-choice questions and filling-in-the-blank questions, Zhou Ming said helplessly, "You got two of the five multiple-choice questions wrong, you got two of the five fill-in-the-blank questions wrong, and you got one of the fill-in-the-blank questions wrong too." The question is left blank. Who will you leave it to if you don’t write it? Leave it to me to help you write it?”

"I don't know how to do that question." Seeing Zhou Ming's serious expression, the little cousin who was usually joking is now honest, looking aggrieved.

Because of being a tutor before, Zhou Ming now has a little experience in teaching individual students, but when he saw Song Lina's aggrieved expression, his expression became relieved, and he said to her softly and gently: "Mathematics is mainly about how much Do it, do it a lot and you will be familiar with it, and you have to be careful when doing the questions and don't be careless."

"Look at this multiple-choice question, the positional relationship between the circle x+y-1=0 and the circle x+y-4x+2y-4=0 is (). Look at this question, you only need to write these two equations as... ..." Zhou Ming doesn't need to tell you about this kind of question, he can choose the answer at a glance, but here is to explain the topic to Song Lina, Zhou Ming will break down the process in his mind, and explain it step by step, trying to explain it as clearly as possible Detailed enough.

When Song Lina first met, Zhou Ming thought she was joking when Song Lina said that she couldn't solve a single problem. Looking at the situation now, at least in terms of mathematics, she is not far behind.

(End of this chapter)