388 Timeout outside number field(1/2)
The god of righteous work.
It's smiling.
During the dementia worship of Li Zheng and Lin Yujing, he occasionally smiled spiritually and then started to think about the next step.
He looked back several times and wanted to share some joy, but when he saw the two of them, he took them back and continued his calculations helplessly.
This process is very similar to Li Zheng who wants to share the wonderful things about solving problems with Liu Xin.
Li Zheng has seen many explosive academic abilities and has also worked as a few arrogant geniuses.
But at this moment, he was still timid.
He has been galloping for many years, and his friends in the circle appreciate his face and call him a god of martial arts.
If your physical friend calls him that, he can answer.
Chemistry friends can also answer him.
Even if it is biological or computer, he has taken the lead.
Only mathematics, as long as you see Feng Heng here, he will never be able to handle it.
Now the problem faced by the wind is actually the "solve of the magic horn".
It is a mathematical problem that Li Zheng puts his efforts into transforming the theory of matters.
In the title, he translated the electrical properties, electrons, stacked physical displays, etc. of two-dimensional graphene into a series of complex functions and matrices in a way that almost talks with computers, just to clearly display them in front of the wind and keep him focused.
As for Li Zheng himself, if he faced the same topic, he might be able to obtain the five solutions in the paper in a long time, but further expand to 8? This is not a question of whether there is any idea, but that even the idea of generating ideas will not be born.
After just ten minutes of worshipping, Gui saw that the wind had brought another stack of empty paper and shook his head with a smile.
"No, it's not an imaginary number, and imaginary numbers can only give regular solutions..."
"The intuition... is wrong?" Li Zheng asked weakly.
"The intuition is right, the tool is wrong. Your matrices are already equivalent to imaginary numbers... There is still a need to make a larger theoretical expansion..." Gui Jianfeng turned around and raised his hand excitedly and said, "Quannuals! You have actually forced me to this point. I like this question."
"!!" Li Zheng also glared at him. After thinking for a long time, he realized that there seemed to be something like this, "Quaden...I remember it was a re-expanding of the imaginary part?"
"Well, a more complex but purer mathematical form has accumulated, so I will try to solve it before dark." Gui Jianfeng turned around and twisted his neck, panting, "If this doesn't work, you have to use eight yuan... After accumulating and accumulating, even if I have to do a week... I'm quite excited after saying this..."
"Wait, you can take a break..."
However, at this moment, Gui Jianfeng could no longer hear Li Zheng's words.
At this moment, he only talks with mathematics.
"Um..." Lin Yujing dared to umm, and pulled Li Zheng and said, "I understand the imaginary number. Is it almost a plural number? What the hell is a quaternary number?"
"Well... it's probably a mathematical concept that was proposed very early but has only been applied in recent years." Li Zheng smiled, "You have today too!"
"My brain only records the knowledge that can be used, unlike you who can remember any bad knowledge."
"You don't understand this. Knowledge is the source of inspiration." Li Zheng clenched his fist and said, "As long as I have enough knowledge, I may be able to combine two completely unrelated knowledge points together at any time."
Li Zheng started his explanation on this.
Impurities are subsets of complex numbers, so when talking about this part of the content, the concept of "plural numbers" is used more often.
The so-called plural is actually just middle school content, but most people will lose their memory instantly after learning that chapter, and will never encounter this word again in their lifetime.
But for mathematicians, it is a tool that has been tried and tested. Although mathematicians cannot understand the normal words, they have always said one or two words that can make people understand, such as-
[In the real domain, the shortest path connecting two truths is through the complex domain.]
The so-called "just understanding" means "connection", "shortest" and "path" all understand the words ".
But once you add the two things like "real number domain" and "complex number domain", it is impossible to understand.
At this time, the small lecture hall provided by Li Zheng for Liu Xin came in handy again. In fact, this sentence was only a vivid metaphor that made Liu Xin understand.
[At any two points on the surface of the balloon, the shortest path connecting them is to pass through the inside of the balloon.]
Well, even if you say that, Liu Xin may not understand.
Fortunately, there are not many samples like him in the human community.
If real numbers are intuitions that can be felt, and exist exactly like 1, 2, and 3, then complex numbers are intuitions that cannot be felt. Numbers like -1 under the root number and -2 under the root number. After all, in an objective and direct manner, it is never possible to find which number squared equals -2.
Here, the real domain is like the surface of the visible balloon. No matter how curled and expanded, it is still a two-dimensional plane. The inside of the balloon, outside of digital intuition, but the part that can exist in theory is the plural domain.
It can be said that imaginary numbers add a dimension to mathematics, which can also be called binary numbers.
So what about the quaternion mentioned by Gui Jianfeng?
That is another dimension upgrade of imaginary numbers...
At this number of layers, it is difficult to give examples that Liu Xin can understand.
As for the eight-center number above this, humans have not yet found a suitable application space, and it may be knowledge outside of this universe.
In the room, Lin Yujing was surprised after figuring out the four-center: "It's already so deep... No wonder grandpa didn't catch us and skip class... I'll find papers for Fengfeng every day..."
"Hmph." Li Zheng said disdainfully, "When I see strangers, my grandfather is an old scumbag."
Lin Yujing laughed and scolded: "You really want to hack grandpa if you have the chance."
"Will grandpa not hack me?"
"Well..., okay..."
"Damn it, I'm going to be a lot of blackmailing me."
"I won't talk about grandpa, let's look at Fengfeng." Lin Yujing looked at Gui Jianfeng's back, which sneered from time to time, and his expression gradually became deeper. "Although the quaternion came a little suddenly, intuition, I always feel that this direction is really right."
Li Zheng nodded frequently.
Gui Jianfeng's expansion of mathematical dimension reminded him of the "two-dimensional quantum tunneling" in the system prompts.
Then, the ambition to expand the magic horn model to three-dimensionality and open up the true superconducting theory.
Once these are involved, it will be impossible to give theoretical results from physical observations and experiments alone. On the contrary, only mysteries and more mysteries can be given.
Imagine if manned spacecraft was born before the theory of relativity.
Then, in the space station, the astronaut who found that the clock slowed down, the degree of doubt and shock of the astronauts who found that "waves turned into particles" would not be inferior to the observer who discovered that "waves turned into particles" in the double-slit interference experiment.
At that time, the degree of chaos and psychedelic discussion of the essence of time, space and energy may not be inferior to the current situation of quantum mechanics.
Of course, even in such a mess, it is a good thing to conduct more, even blind experiments.
The more mysteries there are, the more research materials provided to theory.
But this is just a process of accumulation, and all accumulation leads to only one result-
Use mathematical weapons to pass through the inside of the physical balloon.
Thinking of this, Li Zheng glared at him.
"It's amazing! I finally know why the middle school students' physics competition is organized into a middle school students' calculus competition. The physics society has a long-term vision."
"Since that's the case, let's add some quaternion contents." Lin Yujing rubbed his face and said, "Although he can't keep up with Fengfeng, at least he wants to see what he made, he is idle too. Go and find the lecture notes!"
"Is it also free to be idle?" Li Zheng frowned, "Shouldn't we borrow this rare leisure and have a relationship?"
"You're coming again..."
"Okay, learning is our double sports..."
On this day, Papa Feng returned home three times.
The first time was noon, and I thought they should go out for dinner...
But I saw three people in the room without saying a word and doing their own questions...
It's very panicked.
Do my son’s weekend social interactions need to be expressed in mathematics?
The second time was at 2:00 pm.
I was still doing the exam, but I didn’t even touch the lunch money on the table.
The third time was at six o'clock in the evening, and Dad Feng still tiptoed to the door to observe secretly.
This time it was a little better. Although I saw Feng and the boy still doing it, the girl finally fell asleep.
Probably hungry...
Wait... You can sleep on your stomach... but you just lie on the boy's legs so unscrupulously... still drooling...
Forget it... it's time to grow up when you see the wind.
At this time, Li Zheng was so hungry that he was a little dazed and discovered Feng Dad's return.
"Ah, uncle, hello..." Li Zheng greeted him and subconsciously looked out the window.
Seeing that night had already fallen, he could only sigh.
Always like this, learning relativity theory is always there-
【Learn the theory of relativity】
To be continued...