Chapter 255

On A4 size paper, there are three questions.

The three topics all have traces of being circled.

Naturally, Professor Lu would not know in advance that Cheng Nuo would come to him to apply for exemption.

So

He seems to have picked out topics at random from a pile of materials on his desk. Not for Cheng Nuo.

Judging from the trace of the circle on the paper, these three topics have been done once.

And that person is probably Professor Lu sitting in front of him.

However, figured out this matter, to Cheng Nuo's present situation has no egg use.

No matter how these three questions come from and who has done them before, Cheng Nuo must make one of the three questions if he wants Professor Lu to sign the application form for no listening.

Choose one from three and do it right!

With Professor Lu's character, it is enough to prove that the three questions on this piece of paper in Cheng Nuo's hand are not ordinary people!

Its prestige, absolutely can kill tens of thousands of learning dregs in an instant!

Cheng Nuo can't be careless.

Cheng Nuo looked at Professor Lu at his desk and said, "teacher, I didn't bring my schoolbag here. Can I borrow a pen and draft paper?"

Professor Lu put down his pen, looked up at Cheng Nuo, who had a harmless smile on his face. He bent down, opened the drawer of his desk, and handed Cheng the pen and draft paper.

He pointed to a desk on one side. "You can do it over there. Call me when you finish."

With that, he lowered his head again and continued his work.

Cheng Nuo is also obedient, takes the pen and the draft paper, goes to the desk that Professor Lu points to, pulls a chair to sit down.

The A4 paper with three topics was also laid on the table by Cheng Nuo.

Cheng Nuo looks at three questions in turn and decides which one to choose as a breakthrough.

However, it is originally a basic mathematics teaching book, and the content of advanced mathematics is only some of the most basic and simple solutions.

Even, maybe not even fur.

And the mathematics department, to sophomore, there is a professional course called ordinary differential equations, which specifically explains this kind of equation in detail. Cheng Nuo followed his freshman math department in class. Naturally, he hasn't learned it yet.

According to Cheng Nuo's only knowledge at present, the second question should be solved by Picard Lindorf theorem for solving ordinary differential equations.

However, Cheng Nuo has only heard a little about the PICA lindev theorem. Distance flexible use, Cheng Nuo is still not a small distance.

First, Cheng Nuo can only give up strategically.

As for the second question, this makes Cheng Nuo egg more painful.

The so-called conjugate gradient method of linear equations is to obtain a large-scale system of linear equations by difference separating Laplace equation.

The requirement of the title is that the general form of the equation system is required to be iterated continuously. Through the recurrence relationship of the residuals, the orthogonal equation system is determined, and the convergence value is determined.

If we want to say that the solution of differential equation in the first problem is barely related to higher numbers.

The second question, and the content explained in advanced mathematics, is absolutely nothing to do with half a dime!

What conjugate gradient method, Laplace equation and residual recurrence relation are not the contents that Cheng Nuo, a freshman, should master.

Indeed, as with the previous topic, Cheng Nuo has only heard of these contents.

As for solving the problem, I'm sorry, Cheng Nuo can't do it!

Originally, Cheng Nuo also thought that these three topics should be done for him, which shocked Professor Lu.

But how Lack of strength.

However, Cheng Nuo is fortunate that the third topic is very friendly to Cheng Nuo. As long as we use the special form of Taylor's formula, McLaurin expansion, and the knowledge of Schlumberger Roth remainder, we can solve the problem perfectly.

Taylor's formula is the most complex and difficult to understand in the whole knowledge of the first volume of advanced mathematics. Here buried countless Tianjiao.

It is generally used to calculate errors. In general, we only need a simple formula to replace Taylor formula.

This is not the case with Cheng Nuo.

That really needs to be expanded one by one with Taylor's formula.

The workload is quite complicated!

However, compared with the first two questions, Cheng Nuo can only choose this test of calculation.

Let's go!

Cheng Nuo rubbed his hands and put a pile of paper in front of him.

Now that you have chosen the topic, do your best.

That do not listen to the application, they must get it!

Close your eyes and your thoughts are flying in your head.

Half a minute later, Cheng Nuo's eyes suddenly open, a flash of light. With his mouth slightly tilted, he took up his pen and wrote and calculated on the rough paper.【f(x)=f(t)0!+f'(t)1!*(x-a)+f''(t)2!*(x-a)^2……

…………

0=f(0)=-1+f''(t1)2!x0^2

0=f(1)=……

Because 0 ≤ x ≤ 1, f (η) = max {2x ^ 2, 2 (1-x0) ^ 2} ≥ 8! 】

done!

It took more than ten minutes for Cheng Nuo to work out the formula on a piece of A4 paper and finally worked out the problem.

At that moment, the sense of achievement was full.

After checking and confirming that there was no problem, Cheng put on his pen cap, picked up his answer, and went to Professor Lu.

"Professor, I'm done." Cheng Nuo spoke softly.

Professor Lu looked up at Cheng Nuo, then raised his wrist to look at the time.

There was also a slight surprise in his slightly serious face.

Obviously, Cheng Nuo's speed is beyond his expectation.

He looked up and down seriously, but was not in a hurry to take the answer written by Nuo. Instead, he asked with a smile, "what question did you do?"

"The third way." Cheng Nuo answered honestly.

"Do you know where I got these three questions?" Professor Lu said.

Cheng Nuo shakes his head.

Professor Lu, please spit out a sentence, "these are the three final questions of the finals of the third and fourth grade mathematics of the National Undergraduate Mathematics Competition last year."

"At that time, none of the students could do all the last three questions correctly."

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