Study Monster Cultivation System - Chapter 388
The wind god who does business.
It’s smiling.
In Li Zheng’s and Lin’s worship of dementia, he occasionally smiles spiritually and then plunges into the next step of thinking.
He looked back several times to share some joy, but when he saw their looks, he took it back and reluctantly continued his calculation.
This process is very similar to Li Zheng who wants to share the magic of solving problems with Liu Xin.
Li Zheng has seen a lot of explosive learning, and has also done some extraordinary talents.
But at this moment, he did.
He galloped for many years, friends in the circle appreciated him and called him an extraordinary God.
Physics friends call him that. He can take it.
You can pick him up if you call him that.
Even the biology, the computer, he has hardwired.
Only mathematics, as long as return to see the wind horizontal here, he is afraid that will never be able to catch.
Now guijianfeng’s problem is actually “the solution of magic angle”.
It is a mathematical problem transformed from physics thesis by Li Zheng.
In the title, he translated the electrical properties, electrons and stacked physical display of two-dimensional graphene into a series of complex functions and matrices in a way of almost dialogue with the computer, so as to clearly show it in front of guijianfeng and let him focus on it.
As for Li Zheng himself, if facing the same topic, he may spend a long time to get the five solutions in the paper, but further expand to eight? This is not a question of whether there is a train of thought, but that even the train of thought will not be born.
After ten minutes of worship, guijianfeng pulled a bunch of empty paper and shook his head with a smile.
“No, no, it’s not an imaginary number, and an imaginary number can only give a conventional solution…”
“Intuition Wrong? ” Li Zheng asked weakly.
“The intuition is right, the tool is wrong, your matrices are already equivalent to imaginary numbers More theoretical expansion is needed… ” Guijianfeng turned his head and raised his hand excitedly, “quaternion! You’ve pushed me to this point. I like this question. ”
“!!” Li Zheng was also staring at him. After thinking for a long time, he remembered that there was such a thing as “quaternion I remember the expansion of the imaginary part? ”
“Well, more complex but more pure mathematical forms, the amount of calculation is also accumulated, try to solve it before dark.” GUI Jianfeng turned around and twisted his neck, gasping for breath. “If it doesn’t work, it’s going to be eight yuan Accumulate again and again, even if I have to do a week It’s exciting to say that… ”
“Wait, you can have a rest…”
But now, guijianfeng can’t hear Li Zheng.
At the moment, he only talks to mathematics.
“Well…” Lin Qijing is also at this time dare not, pull Li Zheng way, “imaginary number I understand, almost is plural, what is quaternion thing?”
“Well It’s about a mathematical concept that was proposed very early, but only in recent years has it applied space. ” Li Zheng a smile, “you also have today!”
“My brain only records the useful knowledge, unlike you all the scum knowledge.”
“You don’t understand that. Knowledge is the source of inspiration.” Li Zheng clenched his fist and said, “as long as I have enough knowledge, I may not be able to combine two completely unrelated knowledge points together.”
Li Zheng started his explanation.
The imaginary number is a subset of the complex number, so when we talk about this part of the content, we will use the concept of “complex number”.
The so-called plural is actually just middle school content, but most people will lose their memory in a moment after learning that chapter, and they will never encounter this word again in their lifetime.
But for mathematicians, it is a tool that has been tried and tested repeatedly. Although mathematicians speak normally and can’t be understood by people, they always say one or two words that can make people confused, such as –
[in the field of real numbers, the shortest path to connect two truths is through the complex field. 】
the so-called vagueness means that the words “link”, “shortest” and “path” are understood.
But once you add the “real number field” and “complex number field” these two things, it is impossible to understand.
At this time, Li Zheng’s make-up lecture for Liu Xin came into use again. In fact, this sentence is only a figurative metaphor for Liu Xin’s understanding —
[at any two points on the surface of the balloon, the shortest path connecting them is to go through the inside of the balloon. 】
well, in fact, even if he said that, Liu Xin still didn’t understand.
Fortunately, there are not many samples like him in the human population.
If we say that real numbers are intuitively perceivable numbers, such as 1, 2, and 3, then the complex number is that intuition can’t feel. For numbers like – 1 under the root sign and – 2 under the root sign, we can never find which number’s Square is equal to – 2 in objective and direct way.
In this case, the real domain is like the surface of the visible balloon. No matter how it is curled and expanded, it is still a two-dimensional plane. The inner part of the balloon, outside the digital intuition, but the theory can exist, is the complex field.It can be said that imaginary numbers add a dimension to mathematics, also known as binary numbers.
What about guijianfeng’s quaternion?
That’s another dimension increase of imaginary numbers
At this level, it is difficult to give examples that Liu Xin can understand.
As for the octagons above, so far, human beings have not found a suitable application space. Maybe it is knowledge outside the universe.
In the room, Lin yuejing found out the quaternion, but he was not surprised: “is it so deep No wonder my grandfather didn’t catch us skipping classes Every day, I’m looking for a thesis for Feng Feng… ”
“Hum.” Li Zheng disdains a way, “see a change, grandfather old scum man.”
Lin Yue Jing said with a smile, “you really have a chance to blacken my grandfather.”
“Don’t my grandfather black me?”
“Well Also, are you ok… ”
“Damn it, I’m sure it’s black.”
“Let’s not talk about my grandfather. Let’s see the wind.” Lin qiojing looked at guijianfeng’s sneering figure from time to time, and his expression gradually deepened. “Although the quaternion came a little sudden, intuitively, I always felt that this direction was right.”
Li Zheng nodded again and again.
The expansion of guijianfeng’s mathematical dimension made him think of “two-dimensional quantum tunneling” in the system hint.
Then, we expand the magic angle model to three dimensions, and open the prospect of true superconductivity theory.
Once involved, it is impossible to give theoretical results only from physical observations and experiments. On the contrary, only puzzles can be given, and more puzzles can be given.
Imagine if manned spaceflight was born before relativity.
Then, in the space station, the astronauts who found the clock slowing down will have the same degree of doubt and shock as the observer who found “waves turned into particles” in the double slit interference experiment.
At that time, the discussion of the nature of time, space and energy was no less chaotic and illusory than the status quo of quantum mechanics.
Of course, even in such a mess, it’s good to do more, even blind, experiments.
The more mysteries, the more research materials are provided to the theory.
But this is only a process of accumulation, and all accumulation leads to only one result –
use mathematical weapons to penetrate the interior of the physical balloon.
Thinking of this, Li Zheng’s eyes stare.
“Wonderful! I finally know that the physics competition for middle school students is a long-term one
“In that case, let’s add a little bit to the quaternion.” Lin Yue Jing kneaded his face and said, “although I can’t keep up with the wind, I want to see what he has done. I’m free. Go find the handout quickly!”
“Idle is idle?” Li Zheng frowned and said, “shouldn’t we use this rare leisure to have a feeling?”
“You come again…”
“Well, learning is our double sport…”
On this day, Feng’s father went home three times.
The first time was at noon. I thought it was time for them to go out for dinner
But I saw three people in the room without saying a word
I’m very flustered.
Does the son’s weekend social intercourse use mathematics to express?
The second time was two o’clock in the afternoon.
I’m still working on the problem. I haven’t touched the lunch money on the table.
The third time was at six o’clock in the evening, and Feng’s father crept to the door to observe secretly.
This time it was a little better. Although seeing the wind and the boy were still doing it, the girl finally fell asleep.
Probably hungry
Wait Sleeping on your stomach can But you just lie down on that boy’s leg so recklessly Still drooling
Forget it See the wind It’s time to grow up.
At this time, Li Zheng is also hungry after all some trance, found the wind father’s return.
“Ah, hello uncle…” Li Zheng said hello and subconsciously looked out of the window.
Seeing that night had fallen, he had only one sigh.
It’s always the case that learning relativity is all the time –
[learning relativity]
[once learning, the flow of time will be faster]
[time in learning = real time * under the root sign (1 – (current learning speed? C?)]
among them, C is 300000 times of Liu Xin’s learning speed, which is a constant cosmological constant.
With such a profound theory, Feng’s father couldn’t see it from Li Zheng’s eyes. He just wryly grinned and nuzzled: “what do you want to eat in the evening? I’ll do it for you.”
“Ah This… ” Li Zheng looked at guijianfeng with embarrassment, “how long do you need? No, we can’t
Guijianfeng still did not answer.
I think it’s right to come.
His learning speed, perhaps, has surpassed C.In that case, the study of relativity will also dive into the complex number field, and its time velocity will become an imaginary number, independent of the universe, and become a concept that only exists in theory.
Think about it.
“Ah…” Li Zheng rubbed his forehead.
No, I think too much about it today. I’m afraid I’ll be possessed.
For the first time, he wanted to stop the day’s study and have a good rest.
As a headache, Feng’s father has already brought two boxes of milk and handed him one. The other box is on the edge of Lin’s head, which is Li Zheng’s leg.
“Mathematical calculation is very disturbing, nutrition can not keep up with, of course, headache.” Feng dad then backed back and kept a polite distance. “Actually, we’ve met once before.”
“Oh? Sorry… ” Li Zheng looked at it carefully, but he had no impression.
“In the national mathematics competition.” Feng’s father also took a box of milk himself, inserted a straw and said with a smile, “at that time, Feng Feng called suddenly and said that he was going to die. I immediately put down my business and took the high-speed rail to catch up with him. But when I get into your room…”
wind, as like as two peas, he smiled and raised his hand.
“!!” Li Zheng responded, “I remember. We studied all day at that time. We didn’t see the note until you left. It was very impolite.”
“Well, this is actually my third time back today.”
“???”
“Ha ha, it’s OK. It’s good. I want to thank you.” Feng’s father sucked milk and said with a smile, “since the national competitions, he has not been unable to do so. It seems that he has found a new method and has become stronger. I thought he couldn’t make it through IMO, but he did. Thank you. ”
“I didn’t do anything.” Li Zheng rubbed Lin Yue Jing’s head, looked at guijianfeng and said with a smile, “what I have got from him is much more than what I gave him.”
“You are modest. I have checked. Your experience and achievements are much better than seeing the wind.” “The wind dad said and flushed to the sleeping Lin Qijing nuzui a smile,” the result is also. ”
“Ha, ha.” Li Zheng grinned and scratched his head. “I’m just greedy. In the core of mathematics, I’m willing to give guijianfeng as a draft paper.”
“You should be modest, but I understand…” Feng dad shook his head and sighed, “you’ve learned so much that I can’t even see my back I know I’m selfish, but if possible I actually He would rather be a healthy ordinary man Even if you are stupid… ”
“I’m sorry Well, I’ll prepare what I want to eat. ”
Li Zheng’s heart was sad.
He has no doubt that guijianfeng must be a treasure full of value for academic and even human beings.
But for father and family, this treasure is not worth mentioning in front of health.
“You have worked hard.” Li Zheng said, raised his hand and threw Lin Yue Jing aside. He got up and patted GUI Jianfeng. “Don’t forget it. Just this time, make a meal for your father.”
“???” Return to see wind a stagnant, stagnate for a long time just stay in a voice to scold a way, “take advantage of me again! I’m not cooking for you
This situation is a little out of control.
Li Zheng quickly raised his hand and stabilized his father: “it’s a reasonable joke for familiar boys to be fathers to each other.”
Then he looked and rubbed his eyes and woke up. Suddenly he found Lin Chaojing, the father of Li Zheng: “you continue to sleep with you.”
Finally, he caught guijianfeng and said, “you are so happy with your calculation that your father did not dare to come back after a day of wandering outside in order not to disturb us. Don’t beep. While I’m in charge of Yinghu, I’d like to make a meal for your father. ”
“Ah…” Guijianfeng was in a trance for a long time. He looked at the sky outside and then habitually looked at the small table on the right.
This habit has been for a long time. Once he is too hungry or tired to learn, the table will be filled with prepared meals without accident, so that it seems to be a matter of course, like the laws of physics.
“It’s OK.” Feng dad quickly wiped his eyes, “I’ll do it, you go on…”
Return to see the wind has not yet returned to meet Li Zheng’s angry stare.
“Ah This time it’s still… ” Guijianfeng had to knead the back of his head and stood up with his face on his side Li Zheng is a good cook. ”
Feng’s father still refuses, but Li Zheng has already pushed it: “you go out to watch TV, and watch me not to let my son go today We’ve been trained by the wind. ”
It’s hard to be gracious, and Li Zheng is overbearing. Feng dad has to really watch TV.
Then Lin yuejing, half asleep and half awake, went into the kitchen with Fengfeng and asked about his favorite dishes. After that, he sent Lin Qijing to purchase the ingredients. Li Zheng listed the cooking steps, guijianfeng made overall planning and arrangement, and finally met with him to start the business.
Li Zheng thought that guijianfeng would blame him for many things, but guijianfeng was more serious than he did. He always tried to recall his father’s favorite taste in cooking and constantly reminded Li Zheng of his control over the ingredients.Before eight o’clock, hot baked fish, meat, vegetables and soup will be served.
Feng dad was full of praise, but his eyes were red and he stopped talking.
The same is true of guijianfeng.
Finally, it turned out that Li Zheng and Lin Yue Jing had a hard chat.
“You give a mouth fish.”
“No, no I was so scared that I was stabbed
“You deserve it.”
“Really Hmmm It’s stuck in my throat. ”
“Oh? I’ll suck it out for you
“It’s OK. It’s OK.”
“Why fish? Give a mouth fish
In such a fish eating cycle, the atmosphere finally eased up. GUI Jianfeng snatched a fish clip from Lin Yujing’s hand and put it into his father’s bowl. Then he turned his head and squeezed out words in a very low voice.
“Dad It’s hard work. ”
“Hey, what are you doing with this?” Feng dad ate the fish with rice, with a smile on his face, “it’s really delicious, so you have this talent.”
“It’s not me Mainly Li Zheng I’m much worse than him… ” GUI Jian Feng lowered his head.
“Where?” Li Zheng eyes a stare, with chopsticks pointing to a large piece of fish on the strange shape of “Ginger silk” way, “this ginger is seen wind cut, very imaginative.”
The wind dad also floated, reached out and took ginger shreds to chew into his mouth. He could not help nodding his head and said: “good, good, all good. This ginger silk is the best to eat, to drive away the cold.”
It’s a bit of a puzzle.
In order to ease the embarrassment, Li Zheng quickly gave Lin Qijing a Tuo: “come, eat ginger, drive cold.”
“I don’t Well… ”
Looking at Lin qiojing being stuffed with ginger, father and son both laughed and kept laughing.
Finally, taking advantage of their father and son’s efforts to watch the evening sports news, Li Zheng left a note [to be discussed tomorrow], and then led Lin Yue Jing to leave quietly.
The bad news is, nothing happened today.
The good news is, it’s a happy day.
But Lin did not.
She always thought, lie down and sleep well
Why did it fall to the ground?!