Chapter 284

Chapter 287

[known a ^ (- 1) = (25 , f (x) = A15 + xa25 + x ^ 2a35 + x ^ 3a45 + x ^ 4a55

= A15 + xa25 + x ^ 2a35-x ^ 3m45 + x ^ 4a55? 】

in this calculation problem, Cheng Nuo's breakthrough point is in the method of bordering.

A fifth order nonsingular matrix is constructed according to the conditions given in the title, and then it can be easily solved by using the bordered subformula method.

It's just that Professor Liao didn't mention it in class.

Well, let them deduce this theorem by themselves. It should not be difficult.

In this way, Cheng Nuo made a decision.

There are three big questions left.

The problem of binary generation of polynomial ring, the problem of polynomial interval root, and the equivalent problem of ladder linear equations.

According to these three key points, Cheng Nuo put forward three questions.

After checking, Cheng Nuo didn't find any mistakes.

Cheng Nuo took a breath and put his seven questions in the paper.

So far, his work has been completed. It takes only one morning.

Without delay, Cheng came to Professor Liao's office after lunch.

"Teacher, I have finished the problem!" Cheng Nuo handed the printed final paper to Professor Liao.

Professor Liao seems to be busy with other things. He just glanced at the papers from Nuo and handed them back to Cheng Nuo again. "Give me a run. Send this paper to the education, science and technology office and ask them to make 125 copies of it for the advanced generation examination in mathematics colleges."

"No problem, professor. I'll go first?"

"Well, go ahead."

…………

Cheng Nuo returns to the dormitory after busy work.

McGrady was alone in the dorm. What did Cheng Nuo do when he saw him in the door

Cheng Nuo shrugged, "it's hard to say! In half a month, you'll know what's going on. "

McGrady: "Oh."

…………

Near the final exam.

He remembered that he was a member of the finance department.

Under the supervision of Yan monitor, Cheng Nuo organized the students in the class to start the evening self-study.

Although speaking of the University, self-consciousness is the most important, but if someone in the side of a little supervision, learning motivation will also improve a lot.

As there is only one class in the Finance Department of freshmen this year, there is no good comparison in terms of scores.

Therefore, Cheng Nuo's goal is to ensure that there will be no students who fail in their classes this semester.

However, in addition to advanced mathematics, the remaining courses in the first semester of their finance department are difficult to fail even if they start to review one week before the examination.

Compared with the part of majors that "as long as they choose their majors well, they will win the college entrance examination at the end of each year". Compared with those majors who often take more than ten subjects, the students in their finance department were quite happy in the first two academic years.

With the passage of time, the whole campus of Tsinghua University is gradually shrouded in the atmosphere of final examination.

Library seats are rarely full.

The students on the road are also in a hurry, or take a book to review on the school bench.

The dignified atmosphere is no less than the last few days before the college entrance examination.

By the 16th week of the fall semester, almost all colleges have closed.

Finally, the test begins!

On January 15th, Cheng Nuo's first subject opened.

College English is a subject that Cheng Nuo thinks he can handle easily.

With a radio, a pen, ID card and other items, Cheng Nuo strides into the examination room. Confident and fearless!

His first college exam will begin here.

Goal, grand scholarship! Come on!!

Cheng Nuo's condition is very good. Once met the examination, can let Cheng Nuo whole person adrenal hormone secretion massively, like beat chicken blood the same.

Forty five minutes later

In less than 30 seconds after the listening broadcast on the radio, all the people in the examination room saw a figure take off their earphones, stand up from their seats, pack up the test papers, walk to the front platform, and give the answer sheet and answer card to a female invigilator. (half an hour before the College English test is the time to write the composition, and half an hour later to play listening)

"teacher, I finished writing."

Cheng Nuo's voice is not big, but in the silent examination room, the voice is extremely clear.

In the examination room, a man looked at Cheng Nuo by the platform in disbelief.

That guy This speed is really strong!However, they did not by Cheng Nuo's speed to hand in his own rhythm. The final exam is to see the test paper results, there is not to see the speed of paper submission.

Some of the big guys are obviously capable of handing in their papers half an hour in advance, but they try to be stable for higher scores. After all, at their level, one point and two points are the gap between scholarship and non scholarship.

But Cheng Nuo doesn't matter. Even if he was allowed to check there for more than an hour, there was no mistake. Because There are no mistakes in his paper!

For Cheng Nuo, a man who pursues speed in everything, er Except for that, of course! For him, it's a little bit less time.

University is cool! The examination paper can be submitted in advance. It's not like high school. I have to sit idly for more than an hour after I've finished.

…………

Two days later, Cheng met his advanced mathematics exam.

Since then, he has almost never been to the advanced mathematics course since then. He knows nothing about the examination knowledge and exercises. But it doesn't affect his determination to get full marks.

One is for the special scholarship, and the other is that Cheng Nuo will continue to prepare for the application of no listening for advanced mathematics next semester. If you don't pass the test in high mathematics this time, you will have no face to ask Professor Lu to sign.

The first time I got the advanced mathematics examination paper, Cheng Nuo swept the questions from the beginning to the end.

Simple and difficult, OK!

The difficulty of the topic is basically within the expected range of Cheng Nuo.

Cheng Nuo pulled out his pen cap and began to work on the question. First, he filled in the blanks with ten pieces.

[the definition domain of the function y = arcsin √ 1-x ^ 2 + 1 √ 1 + x ^ 2 is_______ 】

[function y = e ^ 2 + X tangent equation from point (1,0)_______ 】Let f (x) be differentiable at x0 and 】

…………

Shua Shua Shua!

The topics are very simple, for Cheng Nuo, who has already been a mathematics department course, it is even more simple.

The only slightly more difficult problem is the last big problem.

Let f (x) have a continuous reciprocal on [a, b], f (a) = f (b) = 0, and 】

the idea of solving the problem is to prove that f (x) is a Γ function through the infinite abnormal integral of F (x) in the range of [a, b], and then use the remainder formula of Γ function to solve the problem.

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