Learning Demon Cultivation System

"We need to use physical images as hubs to connect the world of mathematics."

"Of course top geniuses don't need this stuff, they have a translation system in their brain circuits."

"For example, von Neumann, he also did this, but he did it when he was building the atomic bomb with Fermi and Feynman. Young, using a computer, Von Neumann doesn't use anything, just mental calculation, the result is always faster than these two old brothers."

"Then the atomic bomb experiment was successful, and the two brothers went home after finishing their work. As a result, von Neumann came up with a "Neumann Stability Analysis" while doing mental calculations, which directly blossomed in both mathematics and physics. Unfortunately, it was to build an atomic bomb I came up with it by the way, and it was kept secret by the Magnesium military for ten years."

"It's a pity, old Feng passed away in his 50s..."

Hearing this, Li Zheng couldn't help raising his hand and said, "Mr. Xie, although I rarely listen to cross talk, why do I feel like I'm in the Deyun Club?"

"Eh? You also listen to Mr. Guo and Mr. Yu? I listen all the time. Do you have the energy to speak?"

"This... I don't reject it, it's just that you said it was only for 15 minutes."

"That's right, this time doesn't count...Look at this lump of fluid, it's three-dimensional, let's take a moment in the x direction..."

"Then the y direction, the z direction..."

"The three directions are all together, which is this big equation, and this is the description of the continuous equation."

"With this, just put in some laws of physics, and the rest can be deduced."

"For example, the speed at a certain moment, you can use the momentum theorem."

"For the first time, I'll put you on one first. In fact, it's just these two styles... Put it together and then slightly..."

"... In the end, this equation was obtained, isn't it pretty?"

"Oh, by the way, this is the Navier-Stokes equation. If you can memorize it, you can use it directly. It doesn't matter if you can't memorize it. You can just push it like I am."

"Sometimes I don't know what to do. There are too many equations, and it's not as comfortable as rolling them out by myself."

"In addition, the momentum theorem is not necessarily used here. Using other physical laws that can construct the relationship between time and velocity can also be used to derive this equation. If you have nothing to do, you can try it yourself, so I won't talk about it."

"Okay." Solving the problem threw the chalk and clapped his hands, "That's the idea. Now you should be able to deduce all the equations of fluid mechanics. Some places need to use linear algebra, so you won't learn it by yourself."

Li Zheng: "???"

"Huh? Is there anything else you don't understand?"

"Ah..." Li Zheng bowed his head tremblingly.

It's not a question of ignorance.

I don't know what I should understand at all!

Li Zheng asked bravely, "For example... the flow of viscous fluid in the tube."

"Isn't that just putting a tube on and adding a few more forces and then it's over?"

"Is that so...then I'll look slightly..." Li Zheng tremblingly picked up the pen.

"Well, let's keep quiet first, don't ask if you don't understand, just turn over the book and memorize the equations. I have already taught everything that should be taught here. The simplest theory can be used to deduce the whole set of pictures. This is the basis of physics. Quality."

"It's really... the foundation..." Li Zheng was already dripping with sweat.

After that, Xie Qifan left the small classroom and wandered around the laboratory.

In desperation, Li Zheng had no choice but to use his mind acceleration.

Although it is nonsense, it does provide a set of learning methods——

It is self-derivation.

Of course, at least a comprehensive grasp of advanced mathematics and linear algebra is required to be eligible.

Presumably, Gui Jianfeng must have mastered it long ago.

And every time the physical competition exam, it must be pushed so hard.

No, it should have started much earlier.

Maybe he pushed it all through middle school.

Or earlier, elementary school.

It has been like this even since the beginning of contact with numbers.

Presumably, no matter whether it is to see the wind or solve the problem, I have instinctively chosen this line of thinking from the very beginning. In the tens of thousands of derivations, I have strengthened my brain time and time again, and finally it is so strong that there is no one in a million. .

Of course, perhaps congenital reasons are dominant, but this does not prevent acquired training from playing a role.

Give it a try.

Follow the path of these freak geniuses and try it out.

Li Zheng started with all his strength and embarked on a learning path that he had never traveled before.

……

Half an hour later, when Xie Qifan returned to the classroom, he saw scratch paper all over the floor.

"Fuck, are you really pushin'?" Xie Qifan walked up to Li Zheng in surprise, randomly picked up a piece of draft paper and looked at it, "Well... that's what it is..."

Li Zheng himself has also escaped from the acceleration of thinking, his eyes are empty, and he is panting heavily.

He used this learning method at such a young age. In the first few hours, he had difficulty walking. Most of the time, he could only use the method of brute force and various physical formulas in order to calculate the required equations.

It's like throwing a bunch of screws and nuts of different shapes to a blind man and asking him to screw them together. The blind man can only touch the outlines and try one by one, and only by coincidence can they match.

But after the eighth hour, Li Zheng gradually gained vision, or in other words, his sense of touch became sharper.

He can just see the shape of the nut and roughly know what kind of screw is needed.

After 30 hours, he could clearly see most details of the nut and was absolutely sure what size screw was needed.

After 45 hours, he knew exactly where each screw was placed.

After 55 hours, he closed his eyes again and returned to the original state. He only needs to touch the nut lightly, and he can twist the required screw with his own hands.

At this moment, Li Zheng stared blankly ahead.

He didn't feel like he had learned anything.

But confidently understood everything.

No matter what problem is thrown, he has an answer.

Feeling the confidence of a mystery.

Li Zheng's entire scalp went numb.

It's a new realm!

There is no trick to win!

At this moment, Xu Zhu is not alone.

Feng Qingyang, Zhang Sanfeng, Dugu Qiubai, at this moment, their souls merged together!

"I... I understand..." Li Zheng looked at Xie Qifen, tearfully grateful, "Thank you, Teacher Xie, thank you!!"

"..." Jie Qifan held the draft paper and took a step back in shock, "I... I didn't do anything. In addition, it's fine to call me Lao Jie. Xie Xie is my nickname, only my mother can call me."

"thanks, thanks!"

"..." Xie Qifan looked at Li Zheng worriedly, picked up two pieces of draft paper and looked at them for a while, then couldn't help sighing, "It's not easy to come up with so many... But it can be seen that you are not good at mathematics, and your method Still silly. To be honest, we still don't get along...I'm not sure I can continue to teach you."

"It's okay, this lesson is already very good." Li Zheng nodded repeatedly.

"Your attitude is quite comfortable..." Xie Qifen put down the draft paper, raised his hand and said, "Okay, then as I said before, I'll come up with one last question, and if you can solve it, I'll continue."

"Please!"

"Let's do a simple fluid mechanics problem. I'll say it just once. Listen carefully—" Xie Qifen raised the corners of his mouth and gave a smirk, "How much electricity can a drop of water carry at most?"

Li Zheng waited blankly for a long time, and only laughed when he saw the difference, and then suddenly realized.

"that's it?"

"That's it." Xie Qifen gestured, "You can set the conditions as you like, cube water droplets can also be used, spherical shapes can also be used, with or without gravity, that's it."

"Ah." Li Zheng opened his mouth wide, "Yes..."

"You can do whatever you want, let it go." After rubbing Li Zheng's head, Xie Qifan walked out of the classroom.

When he turned around and closed the door, he bumped into Lu Yang.

"Mr. Xie, the lab is almost done. Let everyone go to dinner?"

"Well, let's lead them there." Xie Qifan leaned against the classroom door and waved casually.

"Aren't you going?"

"I'll wait."

"Oh..." Lu Yang glanced at the door and window, and found Li Zheng in the back row of the classroom after a lot of effort, and then said in surprise, "Li Zheng is back?"

"Ah."

"Why don't you go to the lab?"

"Isn't this a dissatisfaction?" Xie Qifen smiled with a cigarette in his mouth, "call me by name."

"Ah!" Lu Yang trembled, and then looked into the classroom.

Full of regret and pity.

What are you doing, brother...

Mr. Xie's class is either a bible or a cross talk. Isn't it good to make good use of the time?

"Although this kid's aura doesn't match mine, he's still quite interesting." Xie Qifen sighed, pointing at the glass, "Scientific research all lead to the same goal by different routes. Although I should prefer to see the wind, his way is also a good one." Let's go."

"!" Lu Yang trembled again, "Mr. Xie...are you praising him?"

"Didn't you hear that I think he's stupid?" Xie Qifan curled his lips and said, "How can I teach high school students? Just tease him, and drive him home with the questions he will definitely not be able to solve."

"Phew... that's right..." Lu Yang breathed a sigh of relief, "I'll just say, the most you teach is the kind of person who sees the wind."

"That depends on your mood."

"whee……"

"I didn't think you were so indecent before?"

"I'm leaving now, I'm leaving now..."

……

In the classroom, Li Zheng took advantage of the residual heat of his soaring realm, and quickly came up with the idea of ​​solving the problem.

How much charge can a drop of water carry?

Easily, he sketched a physical picture in his mind.

First, there is tension on the surface of the droplet, causing the droplet to shrink.

The charge on the surface of the droplet causes the droplet to expand due to repulsion.

When the repulsive force is equal to the tension force, the water droplet cannot maintain its shape and breaks apart.

At this time, the amount of charge that generates repulsion is the maximum amount of charge.

After figuring out the principle, Li Zheng started to write.

In the case of vacuum without the influence of gravity, let the water droplet be spherical, with radius r, density ρ, surface tension coefficient σ, charge quantity Q, and vacuum dielectric constant ε.

Then according to the "cutting analysis method" just learned, take a small element on the water droplet for force analysis...

Micro all at once...

just a second...

No, draw a geometric figure...

Damn it, go up the curvature...

……

Appeared!

Tension is 2σ/r!

It must be so handsome.

And then repulsion...