"Huh? You tell me." Shi Cunyuan was sitting in his seat with his eyes closed and concentrating. Hearing this, he opened his eyes and sat up, looking back at Qin Ke.

Not only Shi Cunyuan, but also Lin Haibo, who was almost asleep next to him, also opened his eyes again.

Ning Qingyun, who was reading a book, Chen Ting, Chen Hanyin and Hong Xingwei, who were chatting quietly, also looked over curiously.

Qin Ke asked: "I want to write an academic paper and publish it. Can you please give me some advice on how to write an academic paper and how to publish it? Which journal is better to publish it in?"

They were sitting in economy class, and there were many passengers around them. Several of them were obviously college students. They were chatting and laughing in low voices. They laughed when they heard Qin Ke's words. At the same time, they looked back at Qin Ke and saw that he was still wearing high school clothes.

The school uniform is even more funny.

A mere high school student actually has to write an academic paper and publish it in a journal? Isn’t it too arrogant?

However, they were quite capable. They just exchanged mocking looks and did not laugh out loud.

Shi Cunyuan was also a little surprised and said: "You kid want to write an academic paper?"

His first impression was that it was funny, but since the speaker was Qin Ke, Shi Cunyuan still took it a little seriously.

"I just have some mathematical ideas and want to try publishing them. I heard that writing academic papers seems to be interesting, so I want to try it."

Is it fun to write academic papers? It's too silly and naive! The college students around tried hard to hold back their laughter, but it was a bit hard to hold back.

Shi Cunyuan also smiled, shook his head and said: "Oh, the graduate students I lead have headaches every day to publish papers. You kid, you are just in high school and you only want to publish papers. That's all. Tell me, which direction do you want to write in mathematics?

topic?"

Shi Cunyuan thought that Qin Ke might want to write a small innovative paper such as new problem-solving techniques for the Mathematical Olympiad.

With Qin Ke's attainments in Mathematical Olympiads, it shouldn't be too difficult to write such a small paper and publish it in a small journal that is aimed at high school students and easy to pass review, such as "High School Mathematics Journal" or "High School Interesting Mathematics Knowledge"...

Anyway, just to satisfy Qin Ke's little wish, Shi Cunyuan was still willing to give some guidance.

Qin Ke thought for a while: "I have never written a paper, and I want to write a relatively simple one as a practice. Well, I just thought about a topic, "Proof of nonlinear fractions with infinite point integral boundary conditions"

"The Existence and Multiple Solutions of First-Order Differential Equations", do you think this topic can be published after writing it?"

Shi Cunyuan and Lin Haibo thought they heard wrongly and subconsciously repeated: "What?"

"Proving the existence and multiple solutions of nonlinear fractional differential equations with infinite point integral boundary conditions."

Shi Cunyuan, Lin Haibo: "..."

Not only Shi Cunyuan and Lin Haibo were stunned, but the college students who were listening to the joke were also confused. Although they were also majoring in science, they were not majoring in mathematics. Except for the four words "differential equation", which sounded familiar to them, the rest

...what does it mean?

Chen Ting, Chen Hanyin and Hong Xingwei looked confused and their eyes widened.

What did Qin Shen just say? Why can I hear every word clearly, but when put together it is like a heavenly book?

Ning Qingyun knew that Qin Ke had been reading calculus in college, so he wasn't too surprised, but his beautiful eyes couldn't help but shine with admiration... It did feel a bit unclear.

Seeing that the surroundings suddenly became quiet, Qin Ke carefully asked Shi Cunyuan and Lin Haibo: "Teacher Shi and Teacher Lin, do you think this topic is inappropriate? Is it too obscure and of low academic value? I read it online last night before going to bed.

Fractional calculus, I randomly thought of it at this time, if it doesn’t work, I will change it.”

Of course, Qin Ke didn't read it last night. In fact, he just read and digested this book "Fractional Calculus" ten minutes ago. He felt that some of the contents were not detailed enough.

He searched his brain again and found that there was basically no mathematical analysis textbook that fully discussed the solution of this kind of nonlinear fractional differential equation with infinite point integral boundary conditions, but many fragmentary knowledge points were connected in series.

It is easy to prove the existence and multiple solutions of this type of boundary value problem.

Although the academic discussion of nonlinear fractional differential equations under such special circumstances is actually useless, the key point is that it is easy. It only takes about half a day for Qin Ke to write 3,500 words, and this direction is continuous.

The teaching materials provided by the system have not formed a knowledge system, and presumably no one has published them.

Simple. No one has published it before. Isn’t it a good topic direction?

So Qin Ke tried to raise this topic.

But now the reactions of Shi Cunyuan and Lin Haibo made him feel a little unsure. After all, he was a complete novice when it came to academic papers, and he was unable to judge the submission requirements of professional academic journals.

Shi Cunyuan twitched the corner of his mouth, and finally managed to get his frozen facial muscles to move again: "Qin Ke, have you studied calculus textbooks on your own?"

"Well, I had nothing to do while preparing for the national competition. I read a few undergraduate textbooks, and also subscribed to some electronic books online."

Qin Ke did buy a lot of books, especially electronic ones. He is not short of this little money now, so he can explain that his knowledge is not "made out of nothing."

However, after he bought it, he simply browsed through it, mainly to verify whether the knowledge passed to him by the system was different from the knowledge in the real world and whether it was more complete. The conclusion was that the knowledge passed to him by the system was basically based on

There are mainly textbooks in this real world, but there are also a few that have not been published. I don’t know if they have not been printed or they exist in another parallel time and space. In general, the knowledge imparted to him by the system is richer and more diverse.

sex, and without any errors or omissions.

Lin Haibo couldn't help but interjected and asked: "What teaching materials have you studied by yourself?"

Qin Ke randomly cited a dozen textbooks on mathematical analysis, including "Fractional Calculus" of course.

Lin Haibo and Shi Cunyuan looked at each other and gasped at the same time.

Even for undergraduates at Enshu University, in terms of mathematical analysis, they only have two main textbooks plus three elective self-study tutorials, and a "Jimidovich Mathematical Analysis Exercise Collection". The mathematical analysis textbook that Qin Ke has read is actually

It is more than twice that of undergraduates in the School of Mathematics at ordinary universities!

Especially the book "Fractional Calculus" may be used as an elective textbook for undergraduates in top universities such as Qingmu University and Beiyan University, which are particularly good at mathematics. However, in Enshu University and Huahai University of Science and Technology, it is only required for first-year graduate students.

Just learned the course...

The college students also looked blank when they heard this, and couldn't help but look at Qin Ke.

Are all high school students today so awesome? They have taught themselves more than a dozen college mathematics textbooks when they were just in high school?

Lin Haibo suddenly asked: "Qin Ke, you said you have finished reading "Fractional Calculus", then let me ask you, what are the general properties of fractional calculus?"

"Linearity, itemization, homogeneity, scale transformation, Leibniz's rule, chain rule..."

“How much do you know about the hypergeometric distribution function?”

"It is a type of discrete probability distribution, called hypergeometric distribution, just because its form is related to the series expansion coefficient of the 'hypergeometric function'..."

"Fractional order numerical algorithm, how do you understand it?"
Chapter completed!