Chapter 149

In fact, fractal is quite common in our life.

Take a chestnut ~ ~

snowflake!

It's not snow beer, it's snowflake!

A snowflake, if you look at it with the naked eye, is a shape, a hexagon.

When you put it under a microscope and magnify it a few hundred thousand times, the details you see are hexagonal.

In other words, a snowflake is a large hexagonal crystal composed of n extremely small hexagonal crystals!

Of course, there are sperm, which also conform to the fractal principle.

So people use mathematical methods to express these fractal phenomena.

After hundreds of years of research, fractal theory, in the field of mathematics, there are three very important models.

They are: Cantor set, koch curve, Julia set.

The events that the two players are challenging are related to Julia and Julia.

The definition of Julia set sum is very simple: Z (n + 1) = Z (n) ^ 2 + C (C is a constant)

the definition is very simple, an ordinary high school student can understand the meaning.

But what's amazing about Julia's collection is that its mathematical definition is very simple, but the images it produces are incredibly complex, including profound mathematical principles - or even our own imaginary philosophy.

Well, zhe has been involved A kind of Learning problems.

A Julia set, simply put, is the formula of Z (n + 1) = Z (n) ^ 2 + C.

Iteration should be known to most people.

For example, consider the function f (z) = Z ^ 2-0.75. We can obtain the fixed values of ZF (1, Z2), ZF = 0 by iteration. For example, when Z0 = 1, we can iterate in sequence:

Z1 = f (1.0) = 1.0 ^ 2 – 0.75 = 0.25

Z2 = f (0.25) = 0.25 ^ 2 – 0.75 = - 0.6875

z5=f(-0.6731)=(-0.6731)^2–0.75=-0.2970

………

It can be seen that the result of Z (n) function tends to a certain value after continuous iteration.

Of course, this is just the change of Z (0) = 1.

After a series of indescribable researches on Julia sets, it is found that not all Z (0) values can form bounded fractal figures.

Only when Z (0) is in the range of [- 1.5,1.5], the value of Z (n) is limited.

In other words, only within the range of [- 1.5,1.5], can Julia sets form bounded fractal figures.

This time, the program group fixed the value of Z (0) and made a question according to the change of parameter C.

The parameter C can be written as C (x, y) = x + iy.

The value of C is determined by a real part X and an imaginary part y.

Changing the value of X, y, the corresponding fractal image will also change.

And, the change of X, y is nonlinear, fast and slow.

Guests will randomly select 7 of the 100 fractal animations generated by X and Y changing in a certain range (or [- 1,1]).

50 fractal images are captured from each fractal animation.

Cheng Nuo and Li shiye can choose 2 pieces each to display the values of X and Y corresponding to the fractal diagram.

Then, through the on-the-spot study, they deduce the logic from the formula to the graph.

Then, according to the generated logic, the specific value of X and y can be determined, and the value can be accurate to three decimal places. The error is between [- 0.001, 0.001]!

Seven topics, seven fractal animations, seven production logic, 175 fractal graphics, 28 million possible values of X, y.

What the players need to do is to find out the only correct one among the 28 million possibilities!

Only when there are seven questions can there be a preemptive answer mode.

One point for correct answer and one point for wrong answer.

Whoever gets four points first wins!

Rules, it's over.

The whole audience, you look at me, I look at you.

A face of muddle force!

Two faces muddled!

……

It's all crazy!

"Do you understand what is said?"

"Listen to me 0.0001%。”

……

"After reading this question, I feel that I didn't bring my brain today!"

"Ha ha Me too My brain has already let me flush it out of the toilet……

"It's too damaging to talk about this topic. Let's change the topic. What are you going to have for lunch today

"I think I need to supplement with Shenbao. Shenbao, a bottle of refreshing

This topic of Tema

What the hell is it?

Is my Chinese Putonghua not up to standard or what?

I know all these words. But why is it that I'm surrounded when I'm connected?

Is your strongest brain gone, or are we the audience unable to hold the knife?

Usually take some brain burning projects to insult our IQ, even if we can understand a little bit.

But this topic, to tell you the truth, really I don't understand at all!

It's hard for them to imagine a project that they can't even understand the rules of the topic, while two teenagers in their twenties on the field are going to challenge him.

Sure enough

The only meaning of our dregs is to make up for human beings.

Maybe it's time to be a big fish!

Mr. Jiang also saw the muddle in the eyes of the audience and said with a smile, "maybe a lot of the audience don't understand the challenge rules of this project. It doesn't matter. Let's make an animation demonstration."

"First of all, these fractal animations are based on the iterative function f (z) = Z ^ 2 + C in the complex plane. After the value of complex C changes continuously, we..."

Give up, give up completely

To kneel down, really to kneel

Mr. Jiang, are you sure you are not talking about the book of heaven?

I thought we could understand something after you said it?

But The more you talk, the more confused you are!

The audience has little hope of understanding the topic.

Just look forward to the game will start immediately, and then quietly watch Cheng Nuo and Li shiye faking force.

Melon seeds, beer and Maza are all ready.

Two big guys, please start your show!

I'm waiting for salted fish. I don't have any other skills. I've practiced the skill of calling 666!

…………

"Now, let's invite four guests to select seven of the 100 fractal animations as the contestants' titles!"

Finally, in a crowd of salted fish audience's expectation, the competition link officially begins!

Cheng Nuo and Li shiye sit side by side in the challenge position.

In front of everyone, there is a display screen for uploading topics.

The guests quickly selected seven fractal animations.

Seven fractal animations, corresponding to seven different x, Y values and the laws of fractal graphics.

"OK, next, change the X, Y values of these seven fractals."

On the large screen, only the values of imaginary numbers (x, y) of seven fractal animations can be seen, and the values change with each step of 0.001 starting from [1,1].

"Next, randomly capture 50 fractal images on each fractal animation."

In fact, according to 0.001 step, each fractal animation will have 1000000 change graphs.

If only 50 of them are intercepted, there will be a lot of fractal figures in the middle.

Will also give two players the judgment, causes the great influence!

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