Chapter 388 (1/2)

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.