Genius of the Rules-Style System

Three days before the holidays.

Students are beginning to look forward to holidays and Chinese New Year, and their ability to attend class has been affected to some extent.

This is especially true if there are vacation plans.

What Lin Xiaoqing and Zhao Linlin must do every day is to get together to discuss and go out. Occasionally, they even miss the self-study time. Niu Lianhua is still sitting on the podium, holding papers in each hand, pretending to discuss the topic. He got closer and started talking.

"Is it hot over there in the South Island? What should I wear?"

"Summer clothes are fine." Lin Xiaoqing shared the information, "I checked the information yesterday and found that the temperature in South Island is over 30 degrees all year round, so there is no need to be afraid of the cold."

"It's great. I can wear a skirt again. I must look beautiful when the time comes."

"Me too."

"Do you think it's okay to wear something that reaches the knees? A more ordinary one, or a gauze skirt? I think the gauze skirt is too revealing, so I dare not wear it. If it is thicker, will it be too hot?"

"It's okay. My mother is here. Just ask her. She studies this every day."

"Your mother's clothes are so fashionable. I saw on TV that people on the beach all wore that kind of clothes, which only covered... and some foreigners, the upper body... hehe..."

"What are you talking about! Are you ashamed?"

"Tickle you!"

"I tickle you..."

Zhao Yi looked at the books on the table, his eyes still in his sockets, not moving for a moment, and kept thinking silently in his heart, "Color is emptiness, emptiness is color, women are tigers..."

"Women are monsters..."

"Women are devils..."

"Read the book carefully, and don't let your thoughts wander or wander off!"

The cow lotus still has majesty.

The two girls didn't dare to have too much fun. After talking for a while, they seemed to feel bored, so their attention turned to Zhao Yi.

Lin Xiaoqing stared at the book on the table and asked, "Zhao Yi, is this mathematics?"

"right."

"Is it college mathematics?"

"no."

"What is it? What is it?" Zhao Linlin also came over to take a few glances. She found that what she said was very novel and she couldn't understand most of it, so she felt it was boring. "Don't worry about him. He is just a pervert. He is obviously a pervert." In high school, he felt even better than a college student.”

The two girls sat back with a smile.

Zhao Yi looked up and shook his head silently. He was indeed studying seriously. He was not just memorizing textbooks, but learning something new.

This is a New Year's gift from Professor He.

All right.

Let's consider it a gift for now.

Zhao Yi received a stack of information, including two professional reference books and two handwritten notes, all written by Professor He himself. .

The core content of the book and notes all revolve around one point: fuzzy mathematics.

Modern mathematics is based on set theory. The importance of set theory lies in its ability to extend the abstract ability of mathematics to the depths of human cognitive processes: using sets to describe concepts, and using set relationships and operations to express judgments and sums. Reasoning, thereby incorporating all realistic theoretical systems into the mathematical framework of set description.

no doubt.

Exact mathematics and stochastic mathematics based on classical set theory have achieved remarkable results in describing the inherent laws of various objective phenomena in nature.

However, just like random phenomena, there are a large number of vague phenomena in life, such as cloudy weather, overcast weather, light rain, heavy rain, poverty, food and clothing, etc.

Since classical set theory can only limit its expressive power to phenomena and concepts with clear extensions, it requires that the affiliation of elements to the set must be clear and cannot be ambiguous. Therefore, for those concepts with unclear extensions that cannot be reflected by classical sets, Scientists try to avoid them.

With the continuous development and progress of science, there must be a system that can be extended beyond the classical set theory to describe those uncertain concepts.

This is fuzzy mathematics.

The concept of fuzzy mathematics is divorced from the conventional mathematical system, but it has broad prospects in application fields.

For example, the field of computing.

When those complicated calculations that are difficult to determine are abandoned and calculators based on fuzzy mathematics are used, the computing efficiency can be increased by hundreds or thousands of times.

The discrete component prototype of the fuzzy inference engine developed in China twenty years ago has an inference speed of 15 million times per second, marking a very important step in the country's breakthrough in fuzzy information processing technology.

In the field of fuzzy mathematics, the most promising prospects are decision-making and artificial intelligence.

In the field of major decision-making, such as deciding on some major affairs, you have to face a lot of uncertain factors. You can use the theory of fuzzy mathematics to make the decision-making more accurate and less like a 'gamble'. Just like that, I made a decision as soon as I thought about it.

The Three Gorges Dam is an example.

During the design and construction process of the Three Gorges Dam, many uncertain factors will be encountered. Decisions are related to a century-old plan, and decisions cannot be made directly.

At that time, Professor He used the concept of fuzzy mathematics to make detailed auxiliary calculations to help senior executives make final decisions.

This is Professor He’s ‘fame’ battle.

After that, China only paid attention to fuzzy mathematics. However, in fact, because the content of fuzzy mathematics research is itself uncertain, many people in the field of mathematics are very resistant to fuzzy mathematics. They believe that fuzzy mathematics is not real mathematics. And it's a bit like literature and philosophy.

In addition, fuzzy mathematics is very high-end in the application field, which directly affects the popularity of the subject.

Professor He has been studying fuzzy mathematics all his life and is very aware of the development of fuzzy mathematics in China. Most colleges and universities do not have relevant courses, and there are only a handful of people who have conducted in-depth research on fuzzy mathematics.

He hopes to pass on what he has studied throughout his life.

After Zhao Yi received the books and manuscripts, he took the time to study them patiently. He found that Professor He was right. Fuzzy mathematics and artificial intelligence are very relevant.

For example, calculation.

When an ordinary computer performs multiplication, it first converts two numbers into binary, and then uses the rules of binary multiplication to calculate the accurate result step by step.

The human brain is different.

If you ask about the result of multiplying 134 by 257, it is difficult for most people to calculate it. If you want the answer to be more accurate, you may calculate it like this. First calculate 13*25 and find that it is 325, and then you can get a result, " It should be around 35,000, and the last digit is 8."

The results are ambiguous.

In real life, many things do not need to be very accurate, but only require a 'fuzzy' answer. For similar things, the human brain can be better than a computer and quickly come up with a vague result.

Fuzzy mathematics can be applied in this field.

Intelligence designed with the logic of fuzzy mathematics can handle problems whose results are difficult to determine, and the thinking logic is closer to that of the human brain.

Zhao Yi carefully looked at the knowledge of fuzzy mathematics. Some concepts and logic gave him some new ideas for designing robot programs.

"Let's wait until we get back from vacation!"

noon.

Zhao Yi went to have lunch alone.

He and Sun Liang usually go out to eat together. The street stalls and the small restaurants across the street, regardless of whether they are hygienic or unhygienic, are always better than the food in the school cafeteria.

Sun Liang went to winter camp.

Zhao Yi was really not used to losing his friend who complained and made sarcasm all the time. He quickly finished his lunch and returned to the classroom, where he saw Zhao Linlin rushing in quickly.

"Zhao Yi, it's not good!"

Lin Xiaoqing followed closely behind, shouting constantly, "Zhao Yi! Zhao Yi!"

"What's wrong?"

The two girls explained angrily. On their way back from the cafeteria, they met Niu Lianhua. Niu Lianhua told them a piece of 'good news'. She discussed it with Teacher Xue Pinggui and decided to go to the South Island with them during the holidays.

This is definitely not good news!

Lin Xiaoqing and Zhao Linlin pretended to smile calmly, turned the corner and ran back quickly.

"Absolutely, yes, no, okay!"

Zhao Yi took a deep breath, immediately looked at Zhao Linlin, and smiled calmly, "Linlin! Dear Linlin, let's do this! You just stay at home. I think it's better to go with Xiaoqing, and Aunt Zhao also It doesn’t matter, you just go with…”

Lin Xiaoqing nodded along with her.

Zhao Linlin gritted her teeth, tears were about to fall, and she looked pitiful.

Lin Xiaoqing said softly, "How about going with Teacher Niu and Teacher Xue?"

"Absolutely, yes, no, okay!"

"I 100% disagree! Otherwise I will go alone and we will separate. I won't be with them anyway!"

Zhao Yi said very firmly.

He still remembers the experience of the Mathematical Olympiad exam. Niu Lianhua and Xue Pinggui were together, which was a kind of torture to others.

Even if you can withstand the pressure of being 'blind', go on vacation with two teachers by your side?

Is this going on vacation?

Looking at the pitiful Zhao Linlin, Zhao Yi still couldn't bear to leave her behind. It was actually very strange to be without Zhao Linlin. He, Lin Xiaoqing and Zhao Hongjuan were together... so awkward!

Zhao Linlin can play a mediating role.

For example, if Zhao Hongjuan and Lin Xiaoqing sleep in the same room, Zhao Linlin can...ahem!

yes!

Zhao Yi's eyes suddenly lit up and he rushed out of the classroom. He got on his bike and went out of the school gate. He went directly to a travel agency and asked them to help him book air tickets and hotels.

He originally planned to take time to go to the airport tomorrow to buy tickets and check information before choosing a hotel.

No need to choose now!

Just order the expensive one!

Zhao Yi chose a luxury hotel by the sea, which cost more than 2,000 yuan a night. Money is not everything, but money is very important. He measured the teacher's salary level and determined that Xue Pinggui and Niu Lianhua were unlikely to stay in the same hotel. .

That's it.

Whether the hotel is luxurious or not, it doesn't actually matter. It's relatively acceptable. He is not someone who settles for enjoyment, but he must get rid of Niu Lianhua and Xue Pinggui.

This is the bottom line!

…

School is over in the afternoon.

Lin Xiaoqing returned home with her schoolbag on her back. When she got home, she talked to Zhao Hongjuan, "Mom," Teacher Niu said. She was also going on vacation, as was Teacher Xue, who taught chemistry. They seemed to be in a relationship. Teacher Niu was still worried about Lin. Lin."

"This is great!"

Zhao Hongjuan's reaction was as expected. She said with surprise on her face, "With two teachers following you, you won't have to worry about delaying your studies. You can also ask Teacher Niu and Teacher Xue to make up for your lessons."

Lin Xiaoqing nodded vigorously, as if in recognition, but frowned and said, "But Zhao Yi has already made reservations and hotels!"

"ah?"

Zhao Hongjuan's focus immediately changed, "The same goes for this kid. I've already said that we spend our own money. Even if he wants to invite you, I should spend my share!"

"no!"

"I have to give him the money."

Zhao Hongjuan was a little restless. She suddenly frowned and said, "By the way, your teacher is going too. Let Zhao Yi refund the ticket. The hotel has also refunded the money. Let's make a new reservation! I'll make the reservation tomorrow!"

Lin Xiaoqing quickly shook her head, "I've spent all my money. I refunded something very expensive. It's said that one-third will be deducted. I don't know. It can't be refunded anyway, and air tickets are tight during the New Year. If you refund, you might not be able to buy it."

"That's it!"

Zhao Hongjuan hesitated for a long time and finally said, "Okay, I'll talk to Teacher Niu..."

In the end, there was no result.

Niu Lianhua heard that Zhao Yi had bought tickets and booked a hotel, and the tickets he wanted to buy for the same day were no longer available, so he had to go to the wrong day.

Hotels are even less likely.

Zhao Yi and the others successfully got rid of Niu Lianhua and Xue Pinggui, and almost opened a bottle of champagne to celebrate.

Zhao Linlin danced happily.

certainly.

When Zhao Hongjuan is around, she must show regret. This was the case on the way out in the car. Lin Xiaoqing kept saying, "It's a pity that Teacher Niu didn't go with us!"

"I also asked her to catch up on math."

"And Teacher Xue...what a pity!" She said with a smile.

Zhao Yi sat next to Lin Xiaoqing and poked her hard with his fingers, which made Lin Xiaoqing's face turn red and finally stopped talking about Niu Lianhua.

This girl...

Just can't lie!

Ever since she told Zhao Hongjuan about Niu Lianhua, Lin Xiaoqing probably felt awkward and was always afraid that Zhao Hongjuan would see something, so she kept saying it again and again.

Zhao Hongjuan had already heard it.

A wise daughter is better than a mother.

Of course Zhao Hongjuan knew about Lin Xiaoqing and didn't want the teacher to go with her. She just took care of her daughter's face and didn't say it directly, occasionally nodding along.

Zhao Yi wanted to laugh just looking at it.

The mother and daughter seemed to be acting, Lin Xiaoqing kept performing, and Zhao Hongjuan knew clearly that her daughter was performing, so she cooperated and followed...

"I turned a blind eye when I was supposed to cooperate with you in your performance.

You're forcing the person you love most to perform impromptu.

When did we start to put away the bottom line?

Adapt to the changing times and watch those poor performances..."

On the plane.

Zhao Yi booked four tickets, three of which were together, and one was two rows behind.

Zhao Hongjuan sat in the back.

Zhao Yi, Lin Xiaoqing and Zhao Linlin sat in a row.

Zhao Linlin competed for the seat by the window, Lin Xiaoqing sat in the middle, and Zhao Yi could only sit in the aisle seat. The two girls chatted, almost unable to stop talking, and even talked about the problem of sleeping at night. .

"Let's share a bed!"

"Sleep in your arms!"

"Xiaoqing, I thought you would be very hard, but I didn't expect you to be soft..."

Lin Xiaoqing covered Zhao Linlin's mouth and glanced at Zhao Yi shyly, "Keep your voice down!"

Zhao Yi was crossing his arms and closing his eyes.

He didn't fall asleep.

suddenly.

He opened his eyes wide, patted his head and leaned over, saying anxiously, "It's broken, it's terrible!"

"What's wrong?"

"I forgot. Unexpectedly, I ended up booking two rooms. What should I do?"

"ah?"

Lin Xiaoqing and Zhao Linlin looked at each other. They had not thought about the room problem at all.

Originally, the three of them planned to go together, and two rooms were definitely enough. Even if there was an extra Zhao Hongjuan, there would only be four people, and theoretically two rooms would be enough.

But, think about it?

its not right!

Then the question comes——

There are four people, three women and one man. One woman is forty years old, and the others are all eighteen years old. Among them, there are no couples who have a confirmed relationship and can live together.

When only two rooms are booked, how should they be allocated?