Chapter 354 Lin's Curvature Tensor

"Congratulations to the host, you have built a vortex-type magnetic fluid thruster, and you have received rewards: 1000 math experience points, 2000 physics experience points, and 50 truth points!"

"Congratulations to the host, the physics level has been raised to level 6! Reward the physics master halo!"

"It is detected that the host already has the aura of a physics master, and now the reward is replaced..."

"Congratulations to the host for obtaining the neural current interpretation book!"

With the completion of the basic inspection of the magnetic fluid thruster, Lin Xiao also received a series of sounds from the system in his brain.

Hearing these voices, Lin Xiao's eyes lit up immediately.

Physics has finally been raised to level 6!

The subsequent rewards surprised Lin Xiao even more.

Upgrading to level six will automatically reward a master halo?

No wonder he was rewarded with a mathematics master aura when he was promoted to the sixth grade in mathematics.

However, because he came up with a multi-dimensional field theory before, the system rewarded him with a physics master aura in advance, but now he has been rewarded with another reward.

"So, the multi-dimensional field theory I came up with at the beginning was directly recognized by the system as something that can only be made by the sixth level of physics?"

Thinking of this, Lin Xiao couldn't help but smile slightly.

However, what is the exchange reward called... The Interpretation Book of Neural Electricity?

Looking at the name, could it be a technology that can translate neural signals?

He remembered that he had thought about this problem before. At that time, he felt that this problem was very difficult and difficult to handle, and now the system rewarded him directly?

After thinking about it in my heart, if this is the case, it is not bad. Compared with artificial neural technology, the value of this technology that can translate neural signals is almost unimaginable.

Artificial nerves can only save the lives of some people, but this technology has the ability to change the lives of all human beings!

Of course, although Lin Xiao is very curious, he has no plans to touch this technology for the time being. At least he has to wait until he solves the NS equation problem he is currently facing.

And at this moment, he suddenly felt a sinking in his mind. Obviously, it was the 0.7% brain development brought about by upgrading to the sixth level of physics.

So far, his brain development rate has reached 10.65%!

And the voice of the system sounded again: "Congratulations to the host, the brain development has reached 10%! Your brain's endurance has been increased, and now your brain's highest endurance has been increased to 120% of the original! So, please continue Expand your knowledge! The truth awaits you at the end!"

Hearing this sentence, Lin Xiao suddenly felt that the short-term discomfort caused by the increased brain development disappeared in an instant, and at the same time, the brain became very clear.

Lin Xiao's eyes suddenly lit up.

His brain's carrying capacity has been improved, which means that his brain's load has become lower.

Therefore, he will have this relaxed feeling.

And this relaxed feeling also means that he can use his brain better!

Thinking of this, the smile on his face became brighter.

Seeing how happy Lin Xiao was, Ma Weimin couldn't help but smile and said, "Professor Lin, why are you so happy?"

Lin Xiao came back to his senses, then pointed to the experimental pool in front of him with a smile, and said, "Of course I'm happy in this situation!"

Ma Weimin also showed a happy smile: "It's true!"

Hong Fang beside him also laughed more heartily.

Of course, what they probably don't know is that the young Professor Lin next to him is actually laughing because he has become smarter again.

Relatively speaking, in his eyes, other people have become stupid...

……

Next, this brand new magnetic fluid thruster was tested for another ten days.

Ten days is a normal mission cycle for a nuclear submarine. Because the energy used comes from nuclear fission, the continuous operation time of a nuclear submarine under sea water will be very long. According to existing records, the longest voyage time of a nuclear submarine under the sea It is 90 days, but generally speaking, since the submarine personnel can only stay for a maximum of [-] days, and those who exceed [-] days will have some symptoms more or less.

Therefore, their ferrofluid thrusters need to be guaranteed to operate stably for at least sixty days.

Of course, after this ten-day operation, its basic capabilities have been basically tested. It can maintain a stable thrust without any accidents. In addition, its internal eddy current state has always been maintained. Let the water inside flow continuously.

In addition to the most basic detection, they also used this experimental pool to simulate some more complex environments, such as when there is an undercurrent, and when the water pressure is higher. After a series of tests, the magnetic fluid thruster Without exception, the task was successfully completed.

So, at this point, they can basically be sure that this eddy current magnetic fluid thruster is already capable of many tasks.

The next step is to go through a longer test, such as 30 days, or even [-] days, so as to further ensure the stability of the magnetic fluid thruster.

Otherwise, if you install it on a submarine without knowing the stable situation, and the submarine is performing missions in the deep sea at that time, and suddenly loses power, then this submarine may become a deep-sea ghost ship, and maybe it will He fell directly to the bottom of the sea and became a big wave loli in the deep sea.

Of course, after accomplishing this step, Lin Xiao's mission is considered complete.

The vortex-type magnetic fluid propeller, this perfect submarine propeller, will help their nuclear submarines and become the future submarine ghost.

When he learned that the ten-day experiment was successful, he had already returned to Shangjing.

As for the person who told him the news, it was Ma Gaoliang.

"Professor Lin, it has to be you!"

Ma Gaoliang came to Lin Xiao's office and said with a smile.

"There is a saying that is still true. Professor Lin will know if it will work as soon as he makes a move. Your vortex-type magnetic fluid thruster is really powerful."

Although Ma Gaoliang did not go to the scene to see it in person, but according to the news that came back later, Lin Xiao undoubtedly brought them another important technology. With this technology, their naval strength will once again be qualitatively improved. leap.

After all, what you need to know is that in the Trinity nuclear strike capability, nuclear submarines bear one of the responsibilities.

Therefore, whether the power of nuclear submarines is strong or not will be directly related to the effect of their trinity nuclear strike capability.

It is precisely because of this that the new technology developed by Lin Xiao is of great significance to their national defense strength.

When Lin Xiao heard Ma Gaoliang's words, he just smiled and said, "It's just luck."

"I believe what other people say about luck, but I don't believe what you say about luck, Professor Lin." Ma Gaoliang smiled and waved his hands, and then asked with a look of inquiry: "However, Professor Lin, since you have solved all this problem, is it right?" Doesn't it mean that you have also solved the NS equation?"

Lin Xiao waved his hand: "It's still a little bit worse."

"A little worse?"

Ma Gaoliang was taken aback for a moment, then smiled and said, "It seems that I can wait for the day when Professor Lin solves this mathematical problem thoroughly, and you must tell me when the time comes!"

Hearing Ma Gaoliang's words, Lin Xiao smiled slightly and made an "OK" gesture, "Of course there is no problem."

"Ah."

Ma Gaoliang nodded, and then said: "In addition, I actually have another matter for you. The second phase of clinical trials on artificial nerves has ended, and now we are starting to prepare for the third phase of clinical trials."

"Oh? That's good."

Lin Xiao nodded, "How are those in the second phase?"

"Not bad." Ma Gaoliang said with a smile: "I heard that many of those six people can run and jump now. A lot of doctors said this is simply a miracle."

Lin Xiao smiled, "That's good."

Being able to do this is exactly the original intention of his developer. Now many people, including on the Internet, praise this as the greatest invention in the world after entering the 21st century, and he has been reported by many people. With greater respect, call him the living Hua Tuo of the 21st century.

Lin Xiao also noticed these remarks.

"Well, let's do this first. I have to go to the superconducting laboratory to see another experiment. It seems to have been successful."

"Oh? What technology?"

"It's that Professor Shu Qingzong from back then. He seems to have created microwave weapons."

Lin Xiao couldn't help raising his brows, microwave weapons?

Then he smiled and said, "Okay, you can go."

"Ah."

Ma Gaoliang said no more and left Lin Xiao's office.

But Lin Xiao sighed in his heart, what has come out of this small research institute of his own.

Of course, everyone is studying it seriously, so it's time for him to continue working hard.

Turning his gaze back to the draft paper in front of him, there are complicated formulas on it.

And if someone who studies mathematics takes a look, they will be surprised to find that these things written by Lin Xiao look like Riemann curvature, but they don't look like Riemann curvature. They are a brand new thing.

This is a new mathematical theory that Lin Xiao is trying to come up with, inspired by the eddy current phenomenon in the magnetic fluid channel.

To find the general solution of the NS equation, the past mathematical theory is obviously not enough. He needs to create a brand new mathematical theory to find a solution.

"According to the fluid model formed in the vortex magnetic fluid thruster, I can directly construct a brand new equation, um... From the Cauchy-Lipsitz theorem, I can try to do such a construction..."

"R(u,v)w=▽u▽vw-▽u▽u&..."

"Um……"

Looking at this equation, Lin Xiao stroked his chin, thought for a while, and then continued to write.

"For a fluid, no matter how it changes, its molecules eventually form a boundary, which can always be defined by equations. In addition, it is precisely because of the existence of its internal molecules that these fluids are differentiable."

Seeing this, Lin Xiao couldn't help but feel dizzy. In this way, if it needs to be differentiated to the level of fluid molecules, then the amount of subsequent calculations will become very large.

Of course, he soon stopped being entangled. The huge amount of calculations now are all in preparation for the final simplification.

It's like doing a math problem during an exam. After a series of complicated calculations, the final answer is just a simple 0 or 1, or 2022.

"So based on this differentiability, I can construct a new theory of curvature."

Lin Xiao frowned, showing a little joy.

He has spent a lot of time building this new theory.

But until now, his thoughts have finally become extremely smooth, and the next steps in his mind have also become extremely clear.

"R=RklijRDx^k..."

Until the end, Lin Xiao stopped writing.

"Finally... finished."

"Well, let's call it Lin's curvature tensor."

Chapter 355 General Solution of NS Equation!

Lin's curvature tensor can be used to describe many states of fluid, and it can be used to describe a form of manifold in differential form.

The so-called manifold can be directly regarded as a fluid, or a curved plane, such as bending a very smooth steel plate, and its surface forms a manifold.

Like the Riemannian curvature tensor, it can be used to express the standard square of the Riemannian manifold curvature.

The Lin’s curvature tensor developed by Lin Xiao describes another manifold, which is not necessarily smooth, because this manifold may not even be a curved surface, but have angles.

In this way, this manifold can be completely named after Lin Xiao, that is, Lin's manifold.

And with these two, Lin Xiao will be able to perfectly describe the fluid!

Seeing this, Lin Xiao pursed his lips and smiled slightly.

"Then, based on Lin's curvature tensor, the fluid in the vortex state in the original magnetic fluid thruster can be described in this way..."

"ρdv/dt=pF+▽·p"

"ρ=-pl+2μ(s+l▽·u/3)+..."

Although Lin Xiao does not directly seek the general solution of the NS equation, he tries to solve this problem from special to general.

From special to general is also an important method to solve problems, and it is very meaningful for solving NS equations.

After all, it is very difficult to directly solve the general solution of the NS equation.

Even Lin Xiao had to admit this.

And it will be much more convenient if we can solve the NS equation from special to general.

Of course, in the past, there was no such a special fluid case that could directly allow mathematicians to realize the leap from special to general.

Coincidentally, Lin Xiao happened to join Ma Weimin's project, and then happened to discover the eddy current in the magnetic fluid thruster, which could help him achieve such a general to special leap.

So the following Lin Xiao continued to achieve breakthroughs in the NS equation as if the momentum was breaking through.

However, as he discovered before, due to the huge amount of calculations brought about by his Lin's curvature tensor, his momentum has been broken for nearly a month.

……

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