The most important part of solving the problem has passed, and then, just follow the steps.

Pang Xuelin wrote on the whiteboard without haste.

...

[The analytical solution of Einstein's gravitational field equation, through the classification of spherical symmetry and the position type of the state, and the simple relational expression corresponding to each integral value of the parameter n, can give the analytical solution of the field equation. Due to the physical correlation of the solution, both pressure and density are finite positive values, and both P/ρ and dp/dρ should decrease along its center outward until its structural surface. The mean equation line elements are: ^^1(k,, 2, 3); ^γ(r), ^α(r), r^2; r^2sin^2θ, (k≠1)...]

...

[, the solution is always equal to Tolman's fourth solution, when at the center of the sphere, P/ρ has the maximum value, otherwise, the value of P/ρ decreases with the increase of r value. , the characteristics of the two solutions to dp/dρ are irregular, not applicable to neutron stars, all values ​​of u, the value of P/ρ decreases with the increase of r, and the maximum ratio of center to surface density is ρ0/.5. To sum up, for the Einstein gravitational field equation Ruv-1/πG/c^4×Tuv, its analytical solution is as follows...]

...

Successfully solved!

Pang Xuelin dropped the marker pen, turned around and said, "This is the whole process of solving Einstein's gravitational field equation with the Ponzi geometry method. This method can be extended to all problems of solving nonlinear partial differential equations. Of course, The emergence of analytical solutions does not mean that all nonlinear equations have exact solutions, but there is no doubt that by solving the analytical solutions of nonlinear equations, the accuracy of exact solutions of nonlinear equations can be greatly improved."

huh huh——

The auditorium was quiet for a while, and soon, applause broke out and swept the audience.

Everyone stood up and paid respects to the young figure on the stage.

From now on, physics, chemistry, biology, computer science, engineering, machinery, economics and even social sciences...wherever a model needs to be established through nonlinear partial differential equations will undergo major changes due to the emergence of Ponzi geometry .

"After today, Professor Pang may become the well-deserved number one person in the mathematics world!"

Jacob Sticks said.

"It's almost there. I never expected that a young man under the age of 23 would take over the scepter inherited from Grothendieck!"

Schultz stood up and applauded with some emotion. For Pang Xuelin, from trying to compete with him at the beginning, to admiring him later, and now, Pang Xuelin has become a lofty mountain in his heart, and he can only look up.

...

the other side of the auditorium.

Tan Hao stood up while applauding and said, "For the scientific community in China and the world, today is probably a historic day."

Sometimes, the progress of basic science may take decades or even hundreds of years to show results.

But sometimes, maybe on the day the theory is born, it will have a major impact on the entire scientific community.

Undoubtedly, Ponzi geometry theory and the problem of solving nonlinear partial differential equations belong to the latter.

Xu Xincheng and Liu Tingbo also stood up, looking at the figure on the stage, feeling a little emotional.

Everyone understood what Tan Hao meant.

With Pang Xuelin's current academic achievements, even without any heavyweight awards,

It does not affect his academic status in the slightest.

The applause lasted for a full five minutes before gradually subsiding.

But everyone's eyes were still focused on Pang Xuelin.

Pang Xuelin smiled and said: "Thank you everyone. Next, if you have any questions during the solution process, you can raise your hand to ask questions at any time!"

Soon, in the hall, many people in twos and threes began to raise their hands.

After all, there are still a limited number of mathematicians who can understand the whole process of Pang Xuelin's solution in the first place, and many mathematicians are still ignorant.

"Okay, the gentleman sitting in the third row and the fourth row, what questions do you have?"

Soon, the staff at the report meeting venue handed over the microphone to the other party.

The Latino scholar who looked to be in his thirties and wore glasses said, "Professor Pang, I'm Garden Leslie, an associate professor in the Department of Computer Science at Stanford University. I would like to ask..."

...

The questioning session that followed was uneventful.

With a specific case as a reference, combined with Pang Xuelin's thesis, most of the scientists present have already explored the method of solving nonlinear partial differential equations through Ponzi geometry.

When there is no problem with the overall solution idea, the rest are some minor problems.

Pang Xuelin patiently answered each questioner's question.

Time passed by, and unknowingly, fewer and fewer people asked questions.

"Okay, do you have any questions? If there is no problem, then this Ponzi geometry report will be carried out here. In addition, there is one more thing I want to inform. Starting next month, Jiang Da will hold a Ponzi geometry report. Seminar on Geometry. The seminar will be conducted in the form of a seminar. Participants should regularly report their own research results and experience on the current international frontier research papers in the international mathematics community, and ask and defend each other. The opening time of the class is tentatively scheduled for next year In January, it lasts for one year, and you can join and quit at any time in the middle. Later, Jiang University will publish the registration link for participating in the seminar on the official website, and we will select people from all the applicants to participate in the seminar.”

After Pang Xuelin finished speaking, the audience was in an uproar.

Everyone understands what this seminar means.

With the development of Ponzi geometry, this new subject will become a research hotspot in the field of mathematics in the next few decades.

Mochizuki stared at Pang Xuelin on the stage without blinking, and said, "Grigory, that's great. I originally wanted to apply to Jiang University to be a visiting scholar. With this seminar, I don't have to worry about it." Yes, I must attend this seminar."

Perelman was taken aback for a moment, and said in surprise, "Are you serious?"

Mochizuki nodded and said: "Yes, the prime time of my academic career has been spent on Far Abelian geometry, and now Professor Pang Xuelin has built a more magnificent Ponzi geometry theory on this basis. It's a brand new field, I believe I can learn more by following Professor Pang!"

Perelman frowned and didn't answer.

The potential shown by Ponzi geometry in solving nonlinear partial differential equations made him realize that in order to prove the existence and smoothness of N-S equations, he must rely heavily on Ponzi geometry.

But he is a person who is used to living in isolation, and if he is asked to enter a research institution to study and research, he cannot make such a big determination.

But there is no doubt that Mochizuki Shinichi's words have caused waves in his heart.

(//)

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