In the conference room.
Everyone fell into thinking.
The mathematical content on the whiteboard is very clear. It is a difficult problem of a complex system of partial differential equations. The difficulty of the question is very high.
Even if there is one less unknown number, it can still be considered a small study.
After adding an unknown number and a relational function, the difficulty of the question increases exponentially. If the question can correspond to a certain field of application, it is enough to apply for an outstanding youth-level mathematics project.
It is not easy to solve this kind of problem.
"It's precisely because of the difficulty that Wang Hao asked us to find a solution together, right?"
"It may be related to a certain research, but it is too difficult to solve this kind of problem, and it is unlikely to be possible in a short time...
"With so many of us studying together, we can at least find a direction."
"If this can help, maybe I can get a name on the paper? If it's related to some major application, it's hard to make a contribution. In this regard, Wang Hao is not stingy..."
"..."
This is one of the reasons why Wang Hao has appeal.
In many research fields, as long as you participate in the work of the research group, even if you make no contribution, you can at least have a name.
If there are contributions, they will be recorded in Eucalyptus.
In addition, Wang Hao has completed many major studies, and it seems that he can solve any problem in his hands. Everyone likes to do research work with him.
After everyone had read about the topic, Wang Hao began to explain it, as if giving a lecture to students and said, "Let's take a look at this topic."
"A system of partial differential equations has one more relationship function than a conventional dynamic equation, which means it has one more unknown number."
"Such an equation is very difficult to solve."
"I'm going to talk about a few common methods here, and everyone should think about it."
"The first one is..."
Wang Hao spoke seriously.
In the field of partial differential equations, he dares to say that he is the second in the world, but no one dares to say that he is the first, because he solved the NS equation problem among the seven major mathematical conjectures of the millennium.
His thinking is also very clear.
When faced with a complex system of partial differential equations, he continuously talked about five ways to approach the problem and then change it.
People in the conference room also followed suit.
Some of them are good at solving partial differential equations, such as Ding Zhiqiang, whose main fields are partial differential equations and algebraic geometry.
Some have not done much research on partial differential equations, but have been engaged in high-end scientific research fields and still understand the ideas for solving partial differential equations.
When Wang Hao explained in detail, their eyes lit up. There were some methods that they had not thought of, and they all felt that they had gained a lot.
When Wang Hao explained the fifth method, the correct information came back to his mind. His eyes lit up, he stopped talking, and said, "I just mentioned five entry methods, but I personally think that the third method is
The most ingenious and most likely to solve the problem."
"Everyone come and see..."
"The constants of these equations are actually related to a certain extent. If we can make some transformations, like this..."
Although he just said to do some transformation, Wang Hao wrote on a whiteboard continuously, and then said, "Have you discovered it? If it is the first and fourth methods, there will be problems with the transformation, but this method changes the equation
The constants of 4 and 5 cancel..."
"The equation is simplified."
Everyone nodded in understanding.
After hearing this, they also felt that the third entry method was a very good choice, but they were not sure whether it could solve the problem.
Wang Hao asked people to bring in a new whiteboard and continued to analyze, "Our changes just now have eliminated two constants and simplified Equations 4 and 5. The next step is to solve it."
"This step is not easy either."
It was not easy for him to talk, but the pen in his hand never stopped, "We need to substitute equation 3 and equation 2 to see if we can eliminate an unknown variable in the main equation."
"Let's continue changing..."
Wang Hao explained while analyzing.
Everyone kept up with the thinking and understood it carefully.
Although Wang Hao's analysis speed is very fast, with the bonus effect of "The Gift of Teaching" and the fact that everyone present can be said to be top scholars in the fields of mathematics, physics, computers, etc., even Zhang Zhiqiang, who is less advanced, can understand it.
.
They nodded frequently while listening, "Yes, that's it. This substitution can eliminate the unknowns."
"It makes sense. This method is very good."
"It's the same as what I thought. That's what I thought just now."
"..."
Wang Hao continued to analyze.
His analysis filled a new whiteboard, and finally he came up with a function, and then made a simple function diagram so that everyone can see it more clearly.
At this time, the relationship between the three unknowns of the equation has been found.
Many people were immediately shocked.
Paul Phil-Jones said in surprise, "If we substitute equation 1 again, wouldn't we be able to find the value of γ?"
"Yes, we have found a value!"
"In the final search for functional relationships, the single value of γ is also very important. Substituting it into equation 3, you can get the relationship with β..."
"Wouldn't the problem become simpler?"
"..."
They were discussing in surprise, and suddenly felt something was wrong.
How did it get to this point?
Doesn't this mean that more than half of the problem is solved? The problem becomes much simpler. If you continue... won't it be solved?
The expressions of some people who understood became obviously strange, but they continued to understand.
Wang Hao didn't pause at all.
When this step is reached, the inspiration value has exceeded 90 points, and the direction to solve the problem has been found, so just continue to analyze it.
He continued to analyze, as if giving a lecture to students, and continued to explain, and the third whiteboard was full again.
When a new whiteboard was brought up, he directly summarized the previous content into a simplified system of equations on the whiteboard, "From the beginning to now, the relationship has been clearly sorted out."
"Look at this simplified system of equations..."
This chapter is not finished yet, please click on the next page to continue reading the exciting content! "The questions are very difficult, but if you think about it more, you can always come up with a solution..."
"Let's continue..."
In fact, there is no need to continue at all.
The difficult parts have been solved, and even if Zhang Zhiqiang were asked to take part in the remaining tasks, he would be able to follow his train of thought and come up with the answer.
The difference is just time.
Wang Hao solved the problem very quickly. Because the research was completed and the inspiration value exceeded 100 points, he stopped explaining and started writing the answer directly.
After using the fourth whiteboard, he finally listed the functional relationships between several unknown variables such as power, altitude, and speed.
This is the result.
After finishing writing the results, Wang Hao smiled in front of everyone and said, "Look, everyone, this completes the solution to the problem. So when faced with a problem, as long as you think more, you can always solve it..."
"..."
"..."
The expressions of people in the conference room were a little numb.
At first they thought Wang Hao had encountered a problem, so they asked them to do research together. But after listening for more than an hour, the problem was solved?
To be continued...