Metropolis: My IQ is 300

Chapter 184

Chapter The Wisdom of the Elderly (please subscribe, thank you)

The previous floor design for teenagers and children was very attractive in itself, but now this design is even more attractive, because this is really in line with science, the science that Chen Fan needs.

Chen Fan carefully inspected these plants.

Comparing.

The little boy was a little scared, because more people came.

"I really don't sell them, my grandfather said, these are the ability to eat."

Gardener?

Chen Fan nodded and said, "Well, okay, not for sale, I understand."

Chen Fan left.

Everyone got to Chen Fan's side and wanted to ask the reason.

"In fact, it is very easy to explain, because these plants conform to a certain biological basis. Maybe, you may not have much understanding of these. My concept is that these pollen will naturally combine to form a human body- Helpful substances."

"It probably means that biological experiments in the natural world are the inheritance of ancient wisdom. They are actually very easy to make. They are just thinking. It is difficult to think about."

Everyone understands a little bit, no wonder that this is a thing for the guy who eats, it turns out, this is the real science.

The exhibition at the venue is proceeding steadily.

Finally, in the evening, the final list of winners was determined.

The first place is for the building of a young man, and the second place is for the garden.

The third place Chen Fan didn't bother to care.

The bonus was awarded, and the first place was given a reward of five million U.S. dollars. This figure is very scary.

This last report is destined to become an existence that will be noticed by the world. The design of the boy is very simple, but because it is simple, it is expensive. ,

Thinking is the price.

In the evening, everyone treats each other to dinner, while Saudi Arabia brings his nephew and Zhang Fan to a family dinner.

The house I chose was the villa arranged by Qiu Hua. There were not many people, but they were all very familiar people.

Hua Xiong sat on the table and drank more white wine, which the old man liked to drink.

"It seems to be much older."

Chen Fan said.

Tao Yaoyao said: "It's normal to get old, because of hard work, it's gone."

Chen Fan didn’t know much. Hua Xiong took a sip of white wine and said, “Actually, it’s very simple. I used to think about particle technology. Now, I don’t think about it anymore. Your technology is enough for me to toss. NS."

"Oh, that's okay. In fact, everything I think about is quite simple, because there are still too many areas that we need to find."

Perhaps this is the final outcome.

When someone is thinking about it, in fact, a general direction has already appeared here.

"This time, the particle technology in December, do you plan to go there?"

"Don't go, what do you do? I remember, now that the technology is mature, many experiments can be done every year, what are they still looking for."

Everyone looked at each other and sighed helplessly.

Perhaps this is what makes Chen Fan different from everyone.

"In other words, a piece of marble can be divided into finite pieces and recombined to form a planet, or a telephone can be deformed and then hidden in a lily. In real life this kind of deformation is not feasible because of the size of the atom. It is not infinitely small, and the number is not infinite, but its geometric shape can indeed be deformed in this way. If you know that there is always a way to map from the internal points of a geometric body to another, perhaps this paradox does not look so weird For example, two balls can be double shot to an infinite subset of themselves at the same level (for example, a ball). Similarly, we can also map a ball to a ball with a larger or smaller point, as long as the radius is enlarged by the coefficient One point is mapped to another. However, these transformations generally cannot preserve the product, or need to divide the geometry into uncountable infinite pieces. The unexpected part of the Banach-Tarski paradox is that only finite blocks are used for rotation and translation. To complete the transformation."

The two people around us are discussing the strange ball theory of mathematics. In fact, this theory is quite interesting, about how to turn a piece of marble into a huge planet.

When this theory first came out, it was very interesting. But now gradually over time, no one pays attention.

Chen Fan gave a few steps.

"You don't have to discuss it so seriously, it's meaningless, let me give you directions, use the steps to verify."

"1 Find a special method to divide a free group with two generators;

2. Find a rotation group whose group is homomorphic to these two generators in a three-dimensional space;

3. Use the special division method and selection axiom of this group to decompose the unit sphere.

4. Extend the decomposition of this unit sphere to solid spheres. "

Several people looked at each other with question marks on their faces. Obviously, they had never heard of these things Chen Fan said.

"Chen Fan, do you think the strange ball theory can be implemented?"

Chen Fan nodded and said: "Yes, it definitely makes sense to exist for so many years. As for how to implement it, it's up to you. But I tend to be mathematical verification. This is a refutation. It comes from mathematics and must be solved by mathematics. In fact, This argument is meaningless, I can't think of a point that can be used. ’

Several people leaned in.

It's okay, you don't think it's okay, if we can solve it, that's honor.

Several big guys gathered in front of Chen Fan.

Fields winners and Nobel winners are also there.

Chen Fan has a question mark on his face.

"Don't you understand? Are you pigs?"

Chen Fan himself is probably the only one who can scold these bigwigs in the world.

Chen Fan asked for a piece of paper and said, "Come on, I will give you calculations. This is not difficult."

The pen was brought over. ,

"A free group with two generators a and b consists of all finite strings containing the symbols a and b, where no a is next to a (a represents the inverse of a, and b is the same) or b is next to b This phenomenon. Two such strings can be connected together, as long as the next a and a are offset (the same for b). For example, ababa is connected to ababa to get ababaababa, which can be reduced to abaaba. We can Verify that these strings form a group under this operation, and the identity element is the empty string e. We call this group F_2. The group F_2 can be specially divided as follows: Let S(a) be all strings starting with a, the same The rationale defines S(a), S(b) and S(b). Obviously: F_2={e}∪S(a)∪S(a)∪S(b)∪S(b) and: F_2=aS (a)∪S(a), at the same time: F_2=bS(b)∪S(b).

0 ···Find flowers·····

"This way, do you understand?"

Everyone nodded.

Chen Fan continued to write.

(AS(a) means to take out all the strings from S(a) and connect an a on the left.) The key to the proof is here, please look carefully. At present, we divide the F_2 group into four pieces (it is no problem to ignore e), and then "rotate" them by multiplying one a or b, and then "recombine" two of them into F_2, and the other two into another One F_2. This is what we want to do with the sphere.

"Do you understand this?"

Several people nodded again.

In the second step, in order to find the behavior of the three-dimensional space rotation group similar to F_2, we take two coordinate axes and set A to rotate arccos (1/3) radians on the first axis and B to rotate arccos on the other axis ( 1/3) radians. (This step cannot be done in two dimensions, because it involves rotation in three-dimensional space. If you take any two rotations on the two-dimensional plane to try to form such a group, the obtained group will be a commutative group and therefore do not have F_2 Nature.) Something trivial but not too difficult is that the behavior of these two rotations is the same as the behavior of the two elements a and b in F_2, so they are omitted here. The rotation group generated by A and B is named H. Of course, we can divide H according to the method described in the first step.

.. ........ ...

In the third step, the unit sphere S can be divided into some orbits by operations in the group H: two points belong to the same orbit if and only if the first rotation in H moves the first point to the second. We can use the axiom of choice to select a point in each orbit. Combine these to form set M. Now (almost) all points in S can be moved to M by rotating the appropriate number in H. Therefore, the division of H can also be applied to S.

The fourth step, and finally, connect each point of S to the origin, and the division of S can be applied to the solid unit ball. (There will be something special at the center of the sphere, but ignore it in this brief proof.)"

After finishing writing, Chen Fan took a sip of white wine. This thing is really spicy. Why do these people like it so much.

It's really strange.

"So, do you understand?"

"Probably, I could understand it at first, but I can't understand it now."

Hold.

Goodbye, Chen Fan intends to give up talking about these issues with these pigs.

"Chen, Project Mars?"

Chen Fan said: "Oh, does it have to be Mars? It will take at least seven months. The last time I sent it out, the signal was cut off. I don't want to send it anymore."

The rocket launched by Chen Fan at the beginning of the year had no satellite signal. ,

Because Mars is known as a cemetery, and the success rate is poor.

"Then you can speed it up a bit, or say, try again."

Chen Fan said: "It can be, but I need people. In this way, if you help me build a house, how about I help you build a rocket?"

"What house?"

Chen Fan thought for a while and said, "It's probably the kind of house that can be in the sky, a huge blueprint. I need an airplane to sit down on it. I need to build a city out of thin air, a huge sky city. Sky towers, But I need people."

"no problem."

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