Shen Lang's words show the charm of mathematics. Although many things can be calculated using computers to calculate the final answer, computers are always just computers, and the human brain is the most complex calculation program.

Only through the human brain can we solve the complicated mathematical problems in the world that have not been solved until now.

Even if it may be very long in time, it will be solved one by one in the end.

"How is it? I have seen it these days, but what are you not understanding?"

In beauty and mathematics, Shen Lang perfectly merged the two, and no one delayed each other. If it comes to beauty, he is professional, and if it comes to mathematics, he is also knowledgeable. If Shen Lang was born in the Ming Dynasty, he would be a romantic talent like Tang Bohu. Of course, the premise is that the Ming Dynasty is also good at mathematics, not literature.

When Fang Chao heard this, he immediately told the things he didn't understand these days, hoping to get Shen Lang's guidance.

Shen Lang would give Fang Chao a sense of knowledge, and would like to share things whenever he could tell him. He was interested in Fang Chao's potential and regarded him as his junior. He hoped that Fang Chao's level in mathematics could improve greatly.

Chinese people cannot be said to have little research in mathematics, but in the professional field, there are very few mathematical geniuses of the younger generation, and the older generation is unwilling to teach more. They just throw some templates and papers to you so that you can understand them yourself.

How much you can understand depends on your personal ability.

After all, mathematics is not easy to teach, especially advanced mathematics. If you don’t have talent, even the teacher is unwilling to say a few more words. It’s a waste of your mouth.

If he really has a certain talent in mathematics, Shen Lang's personality may not say a few more words. His current approach is the same as some older professors, with a very high-level vision.

But Fang Chao is really an exception. Shen Lang tried every means to get Fang Chao to go to Peking University of Tsinghua University. In this way, with this junior, he would be very happy and would be willing to spend more time on Fang Chao, because no matter how much thought he spent, Fang Chao was from the Peking University of Tsinghua University...

But if Fang Chao finally decides to go to Peking University, isn’t this equivalent to raising a tiger? Establish a powerful enemy for Tsinghua and Peking University?

But in the final measure, Shen Lang abandoned this absurd idea, such as Tsinghua and Peking University and Peking University, both are Chinese. Wouldn't it be better to let the Chinese have a strong mathematician?

Besides, Fang Chao has such a strong comprehension ability, so just a little point of guidance on the other party’s mathematics will make great progress. Why not do it?

So Fang Chao took out a useless piece of waste paper from the ground, then took out the hotel ballpoint pen, and wrote a line of numerical symbols on it.

There are two n-dimensional vectors, (X1,X2,X3...Xn), (Y1,Y2,Y3...Yn).

Define its inner product, =X1·Y1X2·Y2X3·Y3...Xn·Yn

"Now that we have a definition, we can define two other concepts, distance and orthogonal, and define the norm as... the corresponding distance can be defined as... the two vectors X and Y orthogonal if..."

While speaking, Fang Chao quickly wrote several formulas on the draft paper.

|X|=√(X,X)

d(X,Y)=

=0

"Suppose there are n vectors, E1, E2, E3...En, and satisfy =0, then these n vectors form an orthogonal basis, that is, =1. Now define Ai=, and we can obtain X=Ea,A=(A1,A2,A3...An),E=(E1,E2,E3...En)."

"Then the coordinates in the coordinate system are composed of these data, then..."

Fang Chao was still writing the data, but Shen Lang suddenly knew what Fang Chao was confused about, and immediately spoke, "Chaoer, why don't you try to use the Fourier series?"

"Damn!"

"Yes, why didn't I think of using the Fourier level? Brother Lang, you are simply a god!"

The boss is worthy of being a boss!

God Shen Lang knew where his confusion was before his problems were completely formed. This is not something that ordinary people can do...

Originally, Fang Chao was somewhat blocked, like a huge stone appeared on a road. Fang Chao was still hesitating whether to go around or find a way to move the stone away. Because this stone was a coincidence, the place where it appeared was very unusual. If the word "分类录" was bypassed here, it would appear in other places, like a lonely ghost, pestering you, and the ghosts would never disperse.

But Shen Lang took action and used the Fourier series. It was like a "' character, suppressing the dead ghost, making it unable to trap you all the time. Now you only need to take action to destroy its soul and soul, or even crush its bones and ashes.

"Chaoer, we now think of any function as a vector. We look for a set of functions, such as sin(nx), cos(mx) and so..."

Shen Lang picked up a piece of draft paper from the ground, then took out a pen from his shirt pocket, and then wrote on the paper.

In the function interval 0~2π.

sin(nx)cos(mx)dx=0

cos(x)dx=0,n≠m

sin(nx)sin(mx)dx=0,n≠m

"Chaoer, what did you think of?"

Fang Chao looked at the function written by Shen Lang and contacted the Fourier series at the same time. He said without thinking, "Inner product."

The communication between academic masters is so simple. The two of them can tell you clearly. Shen Lang likes this. The only thing he loves in his life is two things, beauty and mathematics.

People don’t need to pursue too much in their life, just be more refined.

Shen Lang felt that he was okay, so he liked two things that he could spend his whole life.

If a beautiful woman says something, he can speak freely with any beautiful woman, astronomy, geography, or even some slutty words.

Only mathematics is sacred and cannot be explored and discussed in bed.

And now, he found the person who could talk about mathematics with him. Although Fang Chao is still young, he is very malleable and talented. It won’t take long to get to know Fang Chao that he will catch up with him. Thinking of a rising star, even letting him grow vigorously because of some help from him, Shen Lang felt a sense of pride in his heart.

"That's right, it's the internal product. Then the above sin     cos function becomes a set of orthogonal basis. If you look closely at the formula of Fourier series, the Fourier series is nothing more than projecting a function on this orthogonal basis. So Fourier series actually gets a set of "coordinates"."

"Of course, this coordinate is infinitely dimensional..."
Chapter completed!