Vol 2 Chapter 1206: Braid group

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In the sun, the alpine dwarf pine cast a delicate shadow. On a rock in front of the dwarf pine, the girl was resting on the boy ’s knee. The boy was reading a book quietly, and it was a quiet beauty. Then, the curiosity and fun-loving boy quietly opened the girl's hair ...
This is a young campus love story with normal style.
Most girls like this kind of story. Although Chen Youjia is from Wan Famen, although her temperament is a little strange, she is also a girl, so she naturally likes this kind of picture.
Therefore, when Wang Qi was on her knees, she was still very twitchy.
However, Wang Qi's breathing is always calm. Listening to the young man behind him, Chen Yujia's own heart gradually calmed down.
"What are you working on recently ..."
Wang Qi's hand was half a beat slow, and his mouth replied calmly: "A little thinking about symmetry."
"symmetry?"
"Isn't I helping someone to do some kink theory research for a while, I know it from there." Wang Qi said while combing Chen Youjia's hair with force, "This is actually a very interesting concept."
"group?"
Wang Qi nodded: "Even the monks who practiced Qi, they all knew to use the concept of" group "to express their martial arts in a completely different form, but few people worked hard to understand this. The mechanism inside ... "
Chen Youjia laughed: "Are you talking about yourself, where can ordinary disciples do?"
"Well ... I know two Bo familys, can it be done?" Wang Qi also smiled: "Actually, I was also relying on the concept of familiar groups, so I completed this step with the textbooks. . Now I use less boxing, but I gradually want to understand the truth. "
"'Symmetric operation'." Chen Youjia rubbed his forehead: "It's quite powerful."
Through the concept of "symmetric operation" in group theory, changing the various "forms" in a martial arts into another form can change the appearance of martial arts without changing its meaning.
This is also the characteristic of ever-changing sects.
"Symmetric operation" is an extremely broad concept. It specifically means that the symmetric image is the image restored after more than one action that does not change the distance between any two points, and each action that can restore a symmetric image. To put it simply, a square table has four symmetric operations: "rotate 90 degrees", "rotate 180 degrees", "rotate 270 degrees", "rotate 360 ​​degrees".
In addition to the "identical symmetric operation" of "rotating zero degrees", the set of all other symmetric operations can be called a "group".
The group is used to describe symmetry.
However, Chen Youjia is a bit strange: "Well, I remember what idea you used ... complex or ... higher degree polynomial?"
"Ah, this time I'm trying to use a very intuitive way. Symmetrical operation is really interesting," Wang Qidao said: "Even number theory can see it this way."
"Well, irrational numbers ..."
Not all numbers can be intuitively expressed as the ratio of two integers. Similarly, not all irrational numbers can be intuitively written as "root two", "one plus two root" is also irrational.
No matter what common arithmetic operations are performed on this irrational number-addition, subtraction, multiplication, and division, this form of irrational number in the form of "any number plus any multiple of the root number two" will be obtained.
This can be considered as a property not possessed by rational numbers. This is also a special kind of "symmetry".
Symmetry here refers to the rule of using a new number to assign value to any existing number—that is, the rule of changing any number to another number. This rule is even compatible with basic calculation rules such as addition, subtraction, multiplication and division.
"Finally, I'm ready to even put my hands on number theory ..." Chen Youjia's head and shoulders were still. She stretched her hands backwards and patted Wang Qi's thigh.
"Don't hurt me, I know I can't do this yet." Wang Qi replied: "I'm not interested in number theory in a short time. I just thought of it when I was thinking about 'symmetry'."
"Well……"
In this way, the two people quietly exchanged some academic topics.
Until Chen Youjia heard the sound of "sand" in his ear.
"What are you writing with pen and paper?"
"Your hair ... I have to record it."
Chen Youjia finally noticed something was wrong.
Is Wang Qi such a nasty person?
Obviously not.
He is a scum who must use game theory to analyze the pros and cons even when he is in love.
Will this kind of game-theoretic scum burn into my head do romantic or nasty things?
Obviously impossible.
Therefore, there is only one truth ...
Chen Youjia formed a water mirror in front of herself, and the mirror reflected what she was like now-a bird's nest on her head. All her hair was divided into small strands, forming a weird chain on her head.
Of course, there is a sense of art.
In addition, the mirror also reflected Wang Qi's face with pure eyes and a wiry smile.
"Wang Qi ..." A killing intent emerged spontaneously. Wang Qi consciously put down the hair in his hand, and then grabbed the pen and paper suspended in his side, and began to record quickly.
"Now ... it's late!" Chen Youjia elbowed back without hesitation, intending to use an elbow to directly teach this crazed bastard. Wang Qi's hands are still writing something fast, only using his elbows to defend his enemies. When the elbows of the two men touched lightly, Chen Youjia felt that the strength on his arm was out of control. The original docile horse suddenly turned into a violent horse, completely confused.
I clearly occupy a favorable position ... Hell, as he said, he now relaxes his fist and kung fu, but because of the level of mathematics, he has penetrated many martial arts principles that were not understood before ...
Chen Youjia suddenly understood the gap between the two. But when her temperament came up, she didn't want to lose. Both arms suddenly seemed to dance like a butterfly, slamming into the back and overlapping. Wang Qi still used his elbows to defend his enemies, but he only twisted left and right to prevent or avoid every attack by Chen Youjia.
Chen Youjialing's scandalous look at Wang Qifen's diseased book was even more bitter. She jumped out of Wang Qi's arms and beat her with real punches. Wang Qi didn't want to be skin-like, but rolled on the rocks, still not giving up writing.
Chen Youjia was really annoyed, took out the scabbard and shouted, "Wang Qi!"
Wang Qi stopped immediately—but he was still writing.
"Let me fight immediately, or else ..."
"Wait for me to write this line!" Wang Qi speeded up his hand. After a few seconds, he threw a pen and paper: "Come on, hard! But don't hit your face ..."
"Wonderful thinking!" Chen Youjia shot a scabbard on Wang Qi's face without hesitation.
Then, the eyes were red.
Seeing that Chen Youjia was really angry and turned around, Wang Qi sighed: "Well ..." He hugged the girl gently, holding her tiger mouth with both hands: "Who wants you to be so forceful. Does it hurt ... I said don't hit your face. "
"Long skill." Chen Youjia wiped the corners of her eyes: "I actually practiced the control strategy on the face ..."
Chen Youjia had just failed to guard Wang Qi's hand just now, but he felt the pain when he was under twice the force of his hand.
Fortunately, she is a monk. For normal people, this is probably a crack.
"My skills have been growing ..." Wang Qi's tone softened a bit.
"You have a pit ... idiot ... idiot ... actually using my hair as a braid group ..." Chen Youjia's voice became lower and lower: "Not at all ..."
Braid group is a finite generating group that satisfies some braid relations. It has a more intuitive expression method. Suppose there are two fixed plates, each of which has the same number of nails. Each nail is connected to any nail on another flat board with a wire. All the wire segments can be entangled with other wires in any way, but they must not be entangled by themselves. Each nail can only be connected with one wire. The collective term for all the lines between these two tablets is the "braid" and "braid" in the mathematical sense.
It is the "braid group" that studies the addition and changes between these "braids".
"I just want to look at the braid group intuitively ... Ah, and then I thought of the symmetry operation of the braid group, and the addition of the braid group-that is, the kind of tricks that tie the braids together ..." Wang Qi also felt very embarrassed: "Well ... you fell asleep, your hands were cheap. In fact, your hair is pretty, so you can't help it ..."
"Do you have to play for your beautiful hair?" Chen Youjia was inexplicably feeling better because of the last sentence: "You ... say it again."
Wang Qi was helpless and his voice was louder: "If you fall asleep, I'll be cheaper ..."
"Explain the psychological process when committing a crime."
"Actually, your hair is pretty, so my hands are itchy." This time it was Wang Qi's turn to feel ashamed of PLAY-for a guy who has always been shameless, this experience is still very new.
Chen Youjia finally recovered. She stomped Wang Qi's foot hard: "I don't want to quarrel ... I will let you go this time ... but you will be careful with me later."
"Huh ... Thank you, Sister and sister, you are so generous ..." Wang Qi was very grateful.
"You untie me ..." Chen Youjia said bitterly. She looked at her hair carefully with her spiritual knowledge, and found that at least thousands of knots were punched by a "hand cheap" guy, and each knot was in a different link. These links were based on the braid group. They also change and overlap ... in short, how complex and complicated. Chen Youjia could not solve it by herself.
After Wang Qi helped Chen Feng to study the kink theory not long ago, the knotting technique is really strong and invincible.
It is obviously impossible for Chen Youjia to cut off her hair—although she can indeed regenerate her hair in a short time. However, toss about how good Wang Qi is.
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