From failed candidate to chief scientist

Chapter 70 New Challenge Task, NS Equation
Lin Mo closed his eyes and checked the system.

When the report meeting ended, Lin Mo's ear rang with a system prompt, and he had never had time to check it until now.

"Ding, the host has completed the proof of Kratz's conjecture, received recognition, and completed the promotion task. The task reward: the host has been promoted to the master level in mathematics."

"Ding, if the host completes the proof of a world-class mathematical problem, the reward will be 1000 math points."

oh?Any extras?

Lin Mo looked at the panel. At this time, the mathematics had become:

Mathematics (master level) - basic mathematics master level (1000/100000)

Seeing the mathematics that had become a master's degree, Lin Mo felt a little more happy.

According to the definition of the system, Lin Mo can now be called a mathematician.

But only 1000 points are awarded for completing world-class math problems?Is it too little?
"System prompt: After the host subject level is promoted to the master level, the subject value cannot be increased by reading books or exchanging science points."

What, how to increase it?Lin Mo was a little dumbfounded.

"After the master level, the host can improve the subject value by conducting research and producing breakthrough results, or completing system-specific tasks."

This……

Then it will take years and months to upgrade the master level to the palace level?
But Lin Mo thought about it, and it made sense.

After all, I am now considered a mathematician, and my accumulation of knowledge has reached its peak. If I want to improve, I have to rely on continuous research and break through the circle of knowledge to improve and progress.

Those famous figures, such as Newton, Gauss, Euler, etc., did not continue to research and innovate on the basis of their predecessors, create new theories and theorems, and leave indelible achievements in the history of mathematics. Remembered by the world and enshrined in the palace?

Thinking about it this way, Lin Mo accepted the system's settings.

After all, it’s okay not to accept it.

So, what direction should I research next?
There are many research directions, including number theory, topology, differential equations, geometry, and even deeper and more detailed research on dynamical systems, smoothness, elliptic curves, etc.

but……

Lin Mo thought of a question.

That is, if you want to improve the value of your subject, you can't do some simple research, you must do groundbreaking research. This makes Lin Mo a little difficult.

What counts as groundbreaking research?

It proves that Kratz's conjecture only has a subject value of 1000 points. Even if he studies this kind of world-class problem in the future, he still has to complete 99 before he can level up.

99, when will this be studied?

It took Lin Mo more than a month to prove Kratz's conjecture. Even for other world-class problems, in the most ideal state, Lin Mo can prove one in a month, and it will take 99 months, which is more than 8 years.

But this was an ideal situation. It was impossible for Lin Mo to do nothing but research. Even the Liver Emperor would probably go crazy.

Therefore, it will only take longer to reach the top of the palace level.

By the way, the system just said that completing special tasks will also increase the subject value. What is this special task?
The system seemed to be very considerate and jumped out without waiting for Lin Mo to ask.

"Ding, challenge task (1/7): prove the existence and smoothness of the Navier-Stokoe equation, publish a paper or report, and prove that the results are recognized. Task reward: 10000 points in mathematics."

Ok?
Prove the existence and smoothness of the Navier-Stokoe equation?
Is this... one of the seven major mathematical problems of the millennium?

NS equation?

The Navier-Stokes equations are the equations of motion describing the conservation of momentum for viscous incompressible fluids.Referred to as the NS equation.

This equation was established by French scientist C.L.M.H. Navier in 1821 and British physicist G.G. Stokes in 1845, hence the name Navier-Stokes equation.

On this basis, later generations derived the NS equation suitable for compressible fluids.

The NS equation reflects the basic mechanical laws of viscous fluid (also known as real fluid) flow and is of great significance in fluid mechanics.

Regarding the existence and smoothness of the Navier-Stoko equation, it can be described as follows: in three-dimensional space and time, given a starting velocity field, there is a vector velocity field and a scalar pressure field, is the solution of the Navier-Stokes equations, where the velocity field and the pressure field need to satisfy smooth and globally defined properties.

If you want to prove this, you must first solve the solution to the Navier-Stokes equation. The NS equation is a nonlinear partial differential equation. It is very difficult and complicated to solve. Before the solution ideas or technology are further developed and broken, only in The precise solution can only be obtained for some very simple special case flow problems. It is almost impossible to solve it completely.

This task...

Lin Mo was shocked. If he hadn't been wearing a seat belt, he could have lifted himself up from his seat. This was one of the seven major problems of the millennium!
The seven major problems of the millennium are: NP-complete problem, Hodge conjecture, Poincaré conjecture, Riemann conjecture, Yang-Mills existence and mass gap, Nass-Stokes equation, and BSD conjecture.

The origin of the Seven Millennium Problems is because of the mathematics master David Hilbert.

In his famous lecture at the Second World Congress of Mathematicians in Paris on August 1900, 8, Hilbert posed 8 difficult mathematical problems.

These 23 questions inspired the wisdom of mathematicians in the following hundred years and guided the direction of mathematics. Their influence and promotion on the development of mathematics were huge and immeasurable.

Therefore, in 2000, the scientific advisory board of the American Clay Mathematics Institute selected seven "Millennium Prize Problems" and established a grand prize fund of US$700 million. The solution of each "Millennium Prize Problem" can earn $100 million reward.

But winning the big prize is no less difficult than buying a lottery ticket, or even harder than buying a lottery ticket.

You must know that some of the 23 problems raised by Hilbert are still unresolved and have not been solved.

The difficulty of the Seven Millennium Problems is not lower than Hilbert's 23 problems, they are even more specific and difficult.

No matter how many scholars have devoted themselves to it, they have not been able to solve it.

Oh no, one has already been solved.

The Poincaré conjecture has been proven.

However, although it has been proven, the process has been somewhat bumpy and has even been questioned.

Therefore, this challenging task is too...

Lin Mo just wanted to say it was difficult, but after thinking about it, the system's previous promotion prompts after the master level, as well as the generous subject value rewards, and this challenge task issued by the system were also reasonable.

I have even proved Kratz's conjecture, which many mathematicians have concluded is impossible to prove. What does an NS equation mean?
Lin Mo took this to cheer himself up.

But what does this challenge mission 1/7 mean?
Could it be said that this is a series of tasks?So there are 7 missions in total, completing one unlocks the next one, right?
Does 7 refer to the seven millennium problems?But the Poincaré Conjecture has been proven, and there are only 6 tasks left, but why are there still 7 tasks?

Lin Mo thought for a long time and couldn't figure it out. He didn't bother to think about it anymore. Maybe these seven tasks were not the seven major problems of the millennium as Lin Mo thought. There might be something else.

There is no point in guessing now. We will find out when the task is completed.

In this case, just accept the challenge, there is nothing to say, the liver is over.

(End of this chapter)