Because there were only two rooms in rented, Zhou Ming was rushed to the living room by her mother on the grounds that a girl needed privacy, and his original room was forced to give it to Song Lina.

Faced with this sudden change, Zhou Ming had no choice but to say anything.

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

Since it was published directly in foreign journals, Zhou Ming's paper was not planned to be written in Chinese. He directly used English. The title of the paper was "a    dichotomy   for     weierstrass-type                                                                                                                                                                                                                           

abstract.    for    a    real    analytic    periodic    function    φ:    r    →    r,    an    inte-ger    b    ≥    2    and    λ∈(1/b,1)……

Zhou Ming was typing on the keyboard here frantically, and Song Lina quickly ran over happily. 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 English proficiency that was quite OK for first-year high school students to read the English words on the screen.

"What kind of function is the summary..." Song Lina was confused and couldn't stand it after just a few glances. "Brother, what are you doing? Are you writing a paper?"

"Well, I'm writing a math paper." Zhou Ming nodded gently, his hands were still typing without stopping at all.

"But aren't you a major in biology? Why do you still have to write a math paper?" Song Lina looked puzzled. She wondered if Zhou Ming saw that she didn't understand, so she just said something lies to fool her.

At this time, Song Lina was only in her first year of high school. She didn't understand what it meant to write a math essay in all English at this speed. She thought it was as simple as writing an English essay during her exam.

"The dichotomy in the title means dichotomy. If I use it here, it can be translated into dichotomy. Have you not learned this word in high school?" Zhou Ming looked at Song Lina next to him.

"No..., I'm only the first year of high school, even if I will learn from me later, I won't know it now." Song Lina was speechless. If she had known this would happen, she wouldn't have come. It would be better to stay in the room and play with her mobile phone.

Song Lina still remembers that when she met Zhou Ming during the Chinese New Year, Zhou Ming was not like this. Unexpectedly, she didn't see each other in less than a year, and Zhou Ming was like a different person.

"The following weierstrass-type functions in Chinese means Weilstras type function. In mathematics, Weilstras function is a type of real-valued function that is continuous and underivable everywhere. The name of this function comes from its discoverer Carl Weilstras.

I remember that I should have learned derivatives in high school. Before the Weirstras function was discovered, mathematicians believed that except for a few special points, continuous functions can be derivable at every point. The Weirstras function is the first function found that is continuous and underivable at every point..." Zhou Ming said this, and then he noticed that Song Lina beside him was confused, as if he didn't know what he was talking about.

"Brother, I've learned sets and elementary functions." After hearing Zhou Ming talk so much, Song Lina is now unlucky. He is not good at math and hasn't even learned it well in the first year of high school. Zhou Ming said that he didn't know what kind of talent learned about these Trass functions. How could she understand them?

"Okay, I forgot you to get to the first year of high school." Zhou Ming had already finished writing the summary and began to write the introduction.

"Brother, are you still my brother?" Song Lina asked when she saw Zhou Ming quickly continued to write his thesis.

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

"It wasn't like this when you went back last year. How did you change so much now? And I remember your English is not bad? Even CET-4 was just passing by the point. Why is English so good now?" Song Lina expressed her doubts.

Zhou Ming seemed to say casually: "People always become. Don't worry, I will definitely not bring these things with me when I take you out tomorrow. I will definitely have fun when I play."

At this moment, Zhou Ming's mother finished washing the dishes and saw Zhou Ming typing the computer, and said, "Don't just hold the computer all day long except holding the phone. If your cousin comes to play, you can play with her. Don't take it seriously when you should."

Faced with the unreasonable accusations of his mother, Zhou Ming was already used to it. He did not say anything to him, but continued to write his paper.

A paper is not so easy to finish. Even if you want to write a paper full of water, it is almost impossible to finish it in one day. What's more, the paper that Zhou Ming wants to write is to be published in inventions        high-quality articles on mathematicae.

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

Therefore, when Zhou Ming turned off the computer at night and was about to go to bed, he had not even finished writing the introduction.

The day after Song Lina came to Jinling, Zhou Ming took her to two museums and visited them. She only visited these two museums for a day. They also ate outside at noon and evening.

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

It rained on the third day and it was inconvenient to go out, so Zhou Ming and Song Lina stayed in the house and didn't go out.

"How do you write this question?"

When Zhou Ming had just finished the introduction to his paper and started writing the conditions for the second part, Song Lina began to ask him questions.

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

"The function f(x)=2|x+1|+ax(x∈r).

prove:

1. When a>2, f(x) is an increment function on r.

2. If there are two zeros in the function f(x), find the value range of α."

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

"I really can't, why am I lying to you?"

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

There are a few choices and a few fill-in-the-blank questions in the first place. The multiple-choice and fill-in-the-blank questions are the proof questions and the application answers.

Soon, after reading the previous several multiple-choice and fill-in-the-blank questions, Zhou Ming said helplessly: "You were wrong with the five multiple-choice questions, and you were wrong with the five fill-in-the-blank questions. There was also one fill-in-the-blank question that was empty. Who would you leave it to? Leave it to me to write it for you?"

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

Because of the tutoring before, Zhou Ming now has some experience in teaching individual students. However, when he saw Song Lina showing an aggrieved expression, his expression relaxed again, and said to her softly: "In terms of mathematics, it is mainly about doing more. If you do more, you will be familiar with it. In addition, you must be careful when doing the questions and don't be careless."

"Look at this multiple-choice question, the positional relationship between circle xy-1=0 and circle xy-4x+2y-4=0 is (). Look at this question, you only need to write these two equations as..." Zhou Ming didn't need to tell questions like this early. He could choose the answer by taking a look, but here is to explain the question to Song Lina. Zhou Ming splits the process in his mind and talks step by step, trying to explain it as carefully as possible.

When Song Lina first met, she said what if she couldn't do if she had a question, Zhou Ming thought she was joking. Now, looking at this situation, at least in terms of mathematics, she is not far from being a question.
Chapter completed!