Omnipotent Data

Chapter 287

[Known a^==a15xa25x^2a35x^3a45x^4a55

=a15xa25x^2a35-x^3m45x^4a55, find the coefficient of -x^3 in f? 】

For this calculation problem, Cheng Nuo set the point of breaking the problem on the method of adding edges.

Construct a fifth-order non-singular matrix through the conditions given in the title, and then use the edge-adding method to easily solve it.

It's just that Professor Liao didn't seem to mention the knowledge point of Jiabianzi method in class.

Forget it, let them derive this theorem by themselves, it shouldn't be too difficult.

With that in mind, Cheng Nuo made a final decision.

There are still three big questions left.

The problem of binary generation of polynomial rings, the problem of alternate roots of polynomials, and the equivalence problem of echelon-shaped linear equations.

Cheng Nuo came up with three questions based on these three key points.

After checking it again, Cheng Nuo found nothing wrong.

Cheng Nuo let out a breath, and put the seven questions he had asked into the test paper.

So far, all his work on the topic has been completed. And it took only one morning.

Cheng Nuo didn't delay at all, and came to Professor Liao's office after lunch.

"Teacher, I've finished writing the questions!" Cheng Nuo handed the final printed test paper to Professor Liao.

Professor Liao seemed to be busy with other things. After receiving the test paper from Cheng Nuo, he only glanced at it briefly before handing it back to Cheng Nuo. "Help me make a trip, send this test paper to the Education Office, and ask them to make 125 copies for the advanced exam of the School of Mathematics."

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

"Well, let's go."

…………

After finishing his work, Cheng Nuo returned to the dormitory.

Only McGrady is in the dormitory alone. Seeing Cheng Nuo coming back, Mai Di couldn't help but asked curiously, "Cheng Nuo, what did you do just now? I just heard from a classmate that I saw you coming out at the entrance of the Teaching and Science Office?"

Cheng Nuo shrugged, "It's hard to say! After half a month, you will know what happened."

Maddie: "Oh."

…………

Final exams approaching.

Cheng Nuo just remembered that he was still serving as a study committee member of the Finance Department.

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

Although when it comes to university, self-awareness is the most important thing, but if someone supervises you a little bit, your motivation to study will improve a lot.

Since there is only one class of them in the freshman Department of Finance this year, there is nothing to compare their grades.

Therefore, the goal of Cheng Nuo, the study committee member, is to ensure that there will be no students who fail in their class this semester.

But having said that, at present, in the first semester of their finance department, except for advanced mathematics, even if they start reviewing the remaining few courses a week before the exam, it is very difficult for them to fail.

Compared with some majors that "as long as you choose your major well, you can win the college entrance examination at the end of each year", compared with taking more than ten subjects at every turn, the students of their finance department are quite happy in the first two academic years.

As time went by, the entire Tsinghua campus was gradually shrouded in the atmosphere of final exams.

The seats in the library are rarely full.

The students on the road were also in a hurry, or they just took a book and reviewed it on the school bench.

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

In the 16th week of the autumn semester, almost all colleges have suspended classes.

The torturous exam week has finally begun!

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

College English, a subject that Cheng Nuo thought he could handle easily.

Holding the radio, card marker pen, ID card and other items, Cheng Nuo strode into the examination room. Be confident and fearless!

His first university exam will start here.

Goal, special scholarship! bring it on! !

Cheng Nuo was doing very well. Whenever an exam comes up, Cheng Nuo's whole body will be filled with adrenal hormones,

It's like being bloodied.

Forty-five minutes later...

Less than 30 seconds after the listening playback on the radio ended, everyone 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 podium, and hand over the answer sheets and answer sheets to A female invigilator.

"Teacher, I'm done."

Cheng Nuo's voice was not loud, but it was extremely clear in the silent examination room.

In the examination room, a person looked at Cheng Nuo at the podium in disbelief.

That guy... this speed is really strong!

However, they were not disrupted by Cheng Nuo's divine handwriting. The final exam is to look at the results of the test papers, and whether to look at the degree of handing in the papers.

Some master-level academic masters obviously have the ability to hand in the paper half an hour in advance, but they try to be as safe as possible for higher scores. After all, at their level, one point and two points, that is the gap between those who have scholarships and those who do not.

But Cheng Nuo didn't care. Even if he was asked to check there for more than an hour, he couldn't find any mistakes. Because... there were no mistakes in his test paper!

For Cheng Nuo, a man who pursues speed in everything, uh... Of course, except for that matter! For him, saving a little time is a little bit.

University is cool! Exams can be handed in in advance. It's not like high school, where you sit bored for more than an hour after you've finished all your work.

…………

Two days later, Cheng Nuo ushered in his advanced mathematics exam.

I applied for the waiver from Professor Lu, so since then, Nuo has almost never been to the advanced mathematics course. Cheng Nuo knows nothing about the knowledge points of the exam, exercises and so on. But this does not affect his determination to get full marks.

One is for the special scholarship, and the other is because Cheng Nuo will continue to prepare for the waiver application for advanced mathematics next semester. If the high math scores are not enough this time, then there is no shame in going to Professor Lu to sign it.

The first time he got the high math test paper, Cheng Nuo scanned the questions from beginning to end.

Easy difficulty, okay!

The difficulty of the topic was basically within Cheng Nuo's expectation.

Cheng Nuo took off the cap of his pen and started to work on the questions, first filling in the blanks with ten questions.

…………

Swish Swish Swish!

The questions were very simple, especially for Cheng Nuo who had already taken courses in the mathematics department.

The only thing that is a little bit difficult is the last big question.

There is a continuous reciprocal, f=f=o, and…………]

The idea of ​​solving the problem is to prove that f is actually a Γ function through the infinite anomalous integral of f in the interval range, and then use the remainder formula of the Γ function to solve it.

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