In response to the three-dimensional function trajectory correction problem sent by Liu Rongxing, Wang Hao already had a "vague" conclusion in his heart.

The conclusion is "doable" in two words.

The reason why he says "feasible" is a vague conclusion is because he is not 100% sure, but he is more than 90% sure.

If you want to be completely sure, you have to come up with a plan.

Wang Hao is not in a hurry to give an answer, mathematics is very rigorous, there is no "probably feasible", feasible is feasible, infeasible is not feasible, must be given i

Definite answer.

He also wants to be more perfect, rather than giving ambiguous answers, especially when it comes to ballistic missile trajectories.

This kind of research must be cautious and cautious.

In addition, halfway through the study, he could not give up halfway.

Even though he was only sixty inspiration points, he felt that he was very close to completion.

In fact, the difficulty of trajectory correction of three-dimensional functions is still in the calculation, such as orienting one function to the trajectory of another function, numerical calculation is very important, i

And the similarity also needs to be very fine.

For example, a solid simple function x=1.

If the modified function is =2, the difference is too large, and the approximate function x must be limited to the periphery of the value "1".

The fine calculation of functions is very important, and at the same time, it involves the calculation of complex equations, and even the calculation of equations is the core, because the calculation of functions is the first

It becomes a calculation of equations.

The problem involves an intrinsic force, either a force that strikes rapidly for a short period of time, or a force that is continuously broken, and it must involve a simple equation.

The calculation of simple equations is not the least difficult part of the calculation problem.

Among a series of simple equations, the least difficult ones are the partial differential equation and the NS equation, which are not a fluid mechanics explanation of Newton's seventh law.

Therefore, the first problem should be the study of simple equations.

Helen's research is slow or fast, and I will think about it for a while, and if I want to come out, I will look at my content.

Teaching every day is a must-do homework, and teaching cannot accumulate inspiration quickly.

The current teaching has not crossed the function theory, retreated to the stage of computational mathematics, of course, I may spend half a month to explain the function theory, I just explained some subjects [

content, and there is no continuing to involve low-level knowledge.

The scope of computational mathematics is too small.

The discipline and differential equations, vector analysis, matrices, Bowaiye transforms, complex variable analysis, numerical methods, generalization, mathematical statistics, operations research, control theory,

It doesn't matter if there are a few branches of mathematics, information theory, etc., but also the study of mathematical problems from various fields of application.

So computational mathematics cannot be seen as part of applied mathematics.

Helen concludes with not the problem of algebraic equations, which are the most prominent and least involved problems in computational mathematics.

My big class has been open for less than half a month, and at the end of the day, there are very few doctors and even professors who come to listen to the class, and few people come to the lecture soon.

For example, the professors and associate professors downstairs.

Because the content of Helen's lecture is not in-depth, and the body is not some foundation, doctoral students and graduate students can not help after listening to it, and they cannot deepen their understanding of the knowledge in the field of mathematics.

But it's hard for professors not to gain anything, at least they can only review it again, and there is no practical significance for it.

Therefore, the number of people in the class has stabilized, and the number of people who come each time is about 70 people on the right and left.

Helen was still very satisfied with the numbers, seventy was not enough, and I continued my lecture lesson, "In the field of algebraic equations, you recognize the fact that

Algebraic equations of the second and seventh degrees are the formulas for finding the roots. 「

"Therefore, for that type of algebraic equation, in particular, we can only find approximate solutions, and the method of finding approximate solutions is not the method of numerical analysis."

I put the book in my hand and continued, "For that type of equation, your research direction is not mainly to find individual types of equations through analysis

Approximate solution. 「

That's a big area of research.

Just like the dissertations of some doctoral students and graduate students, including the solution of few partial differential equations, the solution of simple algebraic equations is also a small research direction.

It is difficult to produce very: small results.

Bo continued, "But in practice, the solution method of substituting values is more straightforward.

Liu Rong suddenly raised his hand and asked, "Teacher Wang, for some equations, the approximate solution obtained by substituting the numerical method will be more regressive mathematical analysis

Miscellaneous direct less? 「

"Moreover, even if the degressive numerical analysis is solved, the approximation must be closer than the numerical solution and the exact solution, right?"

"Not in some cases, but in others, the numerical solution will be very difficult."

I nodded, "Liu Rong's question is good. Numerical and analytic solving, which method is more suitable, depends on the simplicity of the equation. 「

"It's a completely clueless equation, and it's hard to find an approximate direction by numerical solution."

"The equations are relatively complex, and it is difficult to solve them by substituting numerical values."

As I spoke, I suddenly thought of the research question, and a flash of inspiration flashed in my mind, and at the same time, the system was refreshed with new information.

[Mission 8, Inspiration +11.]

"It doesn't make sense!"

Helen suddenly didn't have a sense of enlightenment, I glanced at Liu Rong with appreciation, and continued the rest of the course.

Before I finished the lecture, I went back to the office and finished my research.

After that, I encountered the problem of calculation, because I was very good at mathematical analysis, I felt that I had gone to a dead end, and I have been doing research in the direction of mathematical analysis.

But mathematical analysis is relatively too simple, and the analysis process is too likely to be applied by computers.

That simplicity makes it possible to solve the problem.

I've been bothered by this.

Liu Rong's question reminded me that I must take the road of mathematical analysis, and it is relatively more complicated to bring in the values directly.

137.

It was a confidential scientific research institute specializing in ballistic research.

The two-story building surrounded by mountains and forests, not the main R&D base of the 137 Institute, shone through the window and reflected the faces of the people in the middle of the debate.

―An eighty-year-old man, propping his hands on the table, said vigorously, "Bo Xinrong's ballistics are also limitless!"

"Your research on maneuver gliding technology can be limited to Bo Xinrong's ballistics, but also develop other directions."

Another middle-aged man in his seventies replied, "He said that it was very boring, and the trajectory of maneuvering gliding technology was not originally proposed by Mr. Liu Rongxing

What is my direction, what is the development? He doesn't have the ability to say one? 「

The old man immediately replied, "You are saying that it is coming out now, but he is denying that Liu Rongxing's trajectory is unlimited, and it is difficult for conventional missiles to maintain this trajectory

to hit the target. 「

"In addition, my country has not studied it, and Bo Xinrong's ballistics is public information, which was put forward by Mr. Liu Rongxing when he was studying at Ameriken, and our information is available

is more than you. 「

"As long as we can understand that technology thoroughly, we can use computers to lock the route and reverse the missile."

"What you're studying now is that if it's an anti-missile, no matter how beautiful the missile's trajectory is, it's useless? After hitting the target, it is still necessary to rush straight over. 「

"At present, the only way to ensure the hit of the target is not hypersonic, accelerating to Mach 10 or Mach 70, but this technology can be universally applied."

The middle-aged Jiuma retorted, "He said that if he develops new technology, he will develop new technology, which is not so much? Now even the direction is known. And you are in Liu Rongxing's ballistics

It's all leading. 「

"How does he know he's leading? Who can be sure of the lead, has he verified it? 「

"How can you be sure?"

"I'm sure so."

The two of them slapped the table and shouted at each other, and they almost started to move.

Door to the meeting room.

Ponsberg listened with a wry smile, similar arguments happen every meeting, and we are now discussing the direction of future research and development.

That's very important.

Although they have mastered Liu Rongxing's ballistics technology, they don't ask if the technology will be perfect, and Liu Rongxing's ballistics have no limitations.

Liu Rongxing's trajectory is not a maneuvering gliding technique, but it is understood that the trajectory of a ballistic missile will become very certain if it changes its direction like a cruise missile.

However, if the use of similar technology will occupy a certain amount of weight, it is not possible to use every missile.

The development of missiles in China has, to a certain extent, achieved overtaking in corners.

We have developed directly from conventional ballistic missiles to mobile gliding technology, and directly crossed the stage of re-entry mobile gliding ballistic missiles.

Although overtaking in corners is achieved, the low-end technology can only be used under the low-end missiles, and the existence of a fault in the middle is equal to more accumulation.

It's now easy to determine the direction of future R&D.

Do you continue to study Liu Rongxing's ballistics and add some other technologies to it, or do you want to combine it with new technologies?

That's the crux of the debate in the Institute.

Qian Xuesen really couldn't stand the quarrel outside, pushed the door and walked out, saw Pang Sibo, shook his head and smiled, "Professor Zheng, it's really difficult, I've been arguing lately, and so are you."

Decide what you're going to do. 「

I said, "By the way, next time he's going to ask Jiu inside to help you take a look?" Who did you find? I heard that I also applied for 700,000 funds? 「

Pang Sibo laughed and said seven words, "He guessed? It's nameless. 「

"Pretty nameless?"

Qian Xuesen thought about it for a long time, and also thought about who it was to come out of the county body, and suddenly a name appeared outside his mind, and I stared at him with small eyes and asked, "Is he going to look for Xihai Xiao?"

Helen, right? This seventy-year-old genius who proved Goldbach's conjecture and completed the conventional argument of the NS equation? 「

"Who else but me?" Pang Sibo laughed, "Domestic mathematicians are very unknown. You can always go to Qiu Chengwen. 「

"That's right.

Qian Xuesen nodded and continued to ask, "How is it?" No results? 700,000 yuan, this is the first time that we have spent so little money on consulting for others. 「

700,000 is not a few.

However, it was the first time that I had asked someone else a question and spent that money.

What is the consultation fee?

137 can't be said to be elite, do you still need to consult others? Do you even have to pay such a small consultation fee?

Zheng Guofeng shook his head, "There's no news yet, it's not half a month."

"He's going to be caught, right?" Qian Xuesen grinned.

"Yes, it will." Pang Sibo smiled, "Wang Haoxing, you are still suspicious, if you are really cheated of that money, you will ask the Space Agency to come back."

Qian Xuesen smiled and thought about it, "It's too bad, that question is too difficult, you have so few people discussing it for less than a month, right?" I brought it up last year.

Until now, there is no definite direction. 「

"If no one can give a definitive answer, you're skeptical."

I said and shook my head.

Ponsberg said, "You're all too. No one knows for sure, but you have to set a direction, and the top mathematicians, I still don't have a lot of opinion

Test the value. 「

"That's right.

Bo Xinrong listened and nodded.

For such a simple problem, no one may give a definite result, but if you ask a world-class mathematician, the other party's judgment on the problem is very inconclusive

value.

All we want is a reference.

Zheng Guofeng and Bo Xinrong talked a few words, returned to the office and thought about it, but still called Wang Haoxing.

"Director Liu, can I help you urge, why hasn't there been a reply here?" I asked a complicated question, and did I say anything about the county content.

Bo Xinxing still understood.

I didn't slow down a little, I patted my chest and said that I doubted Helen, why did I reply to a question for half a month?

It was a simple question, but it was just a matter of giving Helen an opinion.

Is it hard?

Wang Haoxing picked up the phone and called, and then thought about it and said it directly, so he simply put the phone on the phone and sent a message to ask about the project of the System Engineering Division

, let Bo Xin call back when she sees it.

At the same time.

Helen is writing about the correction of eight-dimensional functions.

The inspiration value has not accumulated "102" points, there is no clear idea outside the brain, and the rest is just to write it out.

The difficulty of the research lies in the calculation, and the difficulty of summarizing is also in the calculation method.

Helen wrote a few big times in a row, and she finished the content because she was sending a paper, and there was no accompanying content, and it needed to be written sloppily, or even not

Just ignore it and complete the main content, but it is relatively complicated to write.

I worked until 4 p.m. before I finally finished the first part.

"Hey~~"

I stretched hard and looked at the least difficult equations to solve.

At that time, I suddenly thought of the study of the NS equation.

The current research has nothing to do with the NS equation, the function is finitely extended, and some calculations involve simple equations, so some equation solving skills are required

Some of the subsequent studies were also not used, including the method of approximating the solution of the NS equation.

"Surely extending the outside to the NS equation is it possible to extend the original limit to the infinite?"

I thought about it and shook my head, "I should do it for the time being, but it doesn't seem like you can lock a function path and let other functions run through the same equation to target the fixed

radial regression transformation, but is confined to two eight-dimensional functions......

"It doesn't make sense!"

Helen's eyes lit up as she thought about it, and the system didn't have a reminder.

[Quest 1, Inspiration +7.]

[Inspiration value: 67.] 】

"The study of the NS equation has not been retreated!" That's a real joy.

In the study of the NS equation, the inspiration value has been fixed at 60 points, and I thought that doing that research can also be linked to the NS equation.

That's the real little catch!

Bo Xin hurriedly recorded it with excitement, and as soon as she got to work, it was one o'clock late, and she hadn't even forgotten the time.

I felt like my eyelids were fighting, and I had to stop.

After leaving the desk, I still looked at the message, only to find the message sent by Wang Haoxing, "Call back when you see it?"

Helen looked at the time, firmed, and still called.

What if it's not a relief?

"Doodoo..."

Wang Haoxing on the opposite side was sleeping sweetly, when I heard the mobile phone in my ear vibrating, and I dreamed that I was riding a motorcycle, passing by a barrier.

"It's so bumpy~"

Wang Haoxing was woken up, I rubbed my eyes with my hands, picked up my phone and looked at it, and pressed the answer button depressedly, "Professor Wang, is he in Ameriken?"

Helen was a little embarrassed, and said, "Professor Liu, you see that he left a message saying that when he saw the news, he called back immediately, because he was afraid that he would not slow down."

"What's the delay?" Wang Haoxing was not a little depressed, but he also became more energetic, "You don't want to ask him...... Project...... Never mind! 「

I simply said, "You want to ask him, next time he reads this question?"

"You sent him this question on the intranet."

"Huh?"

"What's wrong?"

"What~~"

Wang Haoxing listened to the solution very well, I think the answer to the question is not "feasible" or "feasible"?

Either two words, or eight words, why did you still send documents?

Beware of curiosity, there is no way to fall asleep, I simply got up and turned on the computer, and before logging in to the intranet, I saw the document sent by Bo Xin.

Before I clicked on it, I saw that there was one outside: a small pile of math content.

The bottom line reads, "A trajectory correction method for eight-dimensional curvilinear functions?"

"The ......"

I understood, and suddenly opened my mouth, "Helen, did I solve the problem?"

Wang Haoxing looked at the computer for a long time, and I understood the simple content, but it prevented me from knowing what was written outside.

The trajectory correction of the eight-dimensional function is equivalent to the method of regressing the trajectory of the missiles that deviate from the trajectory.

So a simple question for Helen to solve?

Wang Haoxing was so surprised, so surprised that I didn't even feel a little sleepy.

I looked at the time, but I didn't have any determination, and I simply gritted my teeth, "Yes!"

"Yes, I can let you sleep alone!"

"The person who asks the question should stay up all night!"