"Fibonacci sequence?" Tao Li was stunned, but then understood why the system chose this direction.

For Zhang Xingchen, Zheng Tongya and Shen Lei, although they have participated in mathematics competitions, they still have a simple foundation in advanced mathematics, but it is only limited to the most basic calculus in advanced mathematics, and if they want to publish papers based on this knowledge, it will definitely not work.

But the knowledge of high school is different, although the knowledge of high school only belongs to elementary mathematics, which is indeed a bit simple compared to advanced mathematics, but that is only because the part touched by high school is relatively simple, not that elementary mathematics itself is very simple, if you really want to dig deeper, many contents in elementary mathematics are actually not simple.

As the most difficult part of the whole high school mathematics, the importance of the number series is self-evident, which can be seen from the finale questions of the college entrance examination mathematics in various provinces, almost all of which are propositions based on the number column.

Among all the sequences, the Fibonacci sequence is definitely the most famous existence of all the sequences, which was defined by the Italian mathematician Leonardo Fibonacci because of its special properties, and has been widely used in real life.

The most common application of the Fibonacci sequence is the golden ratio. The reason why "Langya Bang", which was popular some time ago, is sought after by so many people, in addition to the attractiveness of the plot, the shooting picture is also an important reason that it conforms to the golden ratio.

In addition, the sunflowers and snail shells in nature are in line with Fibonacci's compositional principles, and not only that, but this sequence can also be linked to the Yang Hui triangle, the Batu Wan series and the Lucas series after a series of transformations.

In addition, the divisibility and prime number generation of the Fibonacci sequence also play a very important role in the study of number theory, for example, in the simplest case, one and only one of every three consecutive numbers in the Fibonacci sequence is divisible by 2, one and only one of every four consecutive numbers is divisible by 3, one and only one of every five consecutive numbers is divisible by 5, one and only one of every six consecutive numbers is divisible by 8, and only one of every seven consecutive numbers is divisible by 13......

In addition, the applied research on the mantissa cycle and the area of the rectangle in the sequence also makes this sequence of very important research significance, and these seemingly coincidental properties, the mathematical theories involved, are by no means as simple as they seem. Therefore, the direction chosen by the system is still very meaningful.

"There are many things about the properties of the Fibonacci sequence, and the host only needs to choose one of them to study, and the system will not repeat them one by one. ”

This is very in line with the character of the system, no matter what you do, he will not guide you in detail, only give you a rough outline, and the rest of the details need to be filled in by yourself. However, Tao Li didn't think about asking the system to provide more details, which was a bit constrained.

After determining the direction, Tao Li did not have any delay, that night, he called Zhang Xingchen and other three people over, and now these three people are obedient to Tao Li, because they themselves know that if there is no Tao Li's later counseling, they will definitely not be so easy to enter the national training team.

"I'm calling you here today to ask you what you think about publishing academic papers. After all three of them arrived, Tao Li did not hesitate and said directly.

"Academic papers?" the three of them looked at each other, not knowing how to answer for a moment. Although they have heard the word paper, publishing a paper is still too far away for them, let alone any ideas.

"It's not good to blame me, I'll tell you this as soon as I come up, I'll tell you about the relevant knowledge of the paper first. Looking at the three people with confused looks, Tao Li smiled and said.

Then, Tao Li gave Zhang Xingchen a literacy sweep from the general definition of the paper and the format of the paper, and the three of them also listened and thought at the same time, and if they didn't understand, they would ask again in time.

"According to Mr. Tao's intentions, publishing more papers will be of great help to our academic research in the future, right?" Zhang Xingchen said thoughtfully.

"Yes, the more valuable your paper is, the more educational resources you will get in school, and the more well-known professors will be willing to tutor you. This will be very helpful for your future scientific research path. Tao Li replied with a smile.

"But we haven't written a paper yet, and the direction of the paper is uncertain, so even if we have the intention to publish it, I'm afraid it's powerless. Zheng Tongya said with some embarrassment.

"Silly, since Mr. Tao called us over to talk about this, he must be willing to guide us. Shen Lei reacted quickly and quickly guessed Tao Li's intentions.

"Really, Teacher Tao?" Zhang Xingchen and Zheng Tongya said as they looked at Tao Li in surprise.

"Shen Lei is right, I want to guide the three of you to publish a paper together, and the direction of the paper has already been thought of, I just don't know if you will be interested?" Tao Li said with a smile.

"Teacher Tao, it's good that you're willing to guide us, we don't care about the direction or anything. ”

"yes, I don't understand anything anyway. ”

"Teacher Tao, you can write whatever we want. ”

The three of them didn't have much thought about it.

"Since you all say so, then I will help you choose the direction of this paper Luo Lao, that is, the study of the relevant properties of the Fibonache sequence, which property in the number series is involved, I have not yet decided, you can take a look at the relevant information for yourself after you go back, and you can tell me if you have any ideas. ”

As he spoke, Tao Li picked up the three-point printed materials from the table and handed them over, which was the information he had just compiled about the Fibonache number series for their reference.

For this number series, the three people are naturally no strangers, often appear in the exam questions, and the number theory will also involve relevant knowledge, but their understanding of this number series is only limited to doing questions, to say that the real understanding, it is still far away!

"When you go back, read the information I gave you carefully, and I will explain to you if there is anything you don't understand. It's best to decide on a specific direction for your dissertation before the end of the week, and if you don't have any ideas about it, then I'll have to assign a specific direction. ”

Tao Li paused, and then continued, "Also, the time to prepare the paper will be very hard, the first time you write it, you will definitely revise it many times, plus the final exam is approaching, both sides have to be taken into account, so it is certain to endure hardship." ”

"Don't worry, Mr. Tao, I can't do anything else, it's okay to endure hardships. ”

"There's nothing to review for the final exam anyway, so I'm sure I'm going to devote myself to the paper. ”

"Teacher Tao is not afraid of hardship, what am I afraid of!"

The three of them looked at each other and smiled, and said one after another.