I Just Want to Be a Quiet Top Student

For the first four papers submitted by Shen Qi, the expert review opinions were similar: "You are right, the author, and your writing is very good, but the fly in the ointment is XXXX...Of course, the flaws are not hidden, I hope you can revise them."

The reviewers of the first four papers had their own characteristics. Some wrote several pages of review comments, while others only wrote one or two sentences. But the meaning conveyed to Shen Qi is the same, two words, Xiaoxiu.

Regardless of how many pages the reviewers write or a one-sentence comment, they will eventually tell the author of the paper two words, major revision or minor revision.

Some reviewers wrote a few pages or even a dozen or dozens of pages of review suggestions, and they may finally tell the author that minor repairs are enough. This kind of situation exists, and the reviewers' comments can be sorted out, and a new paper can be written. The author of the paper is lucky to meet such a reviewer.

Some reviewers only write one sentence, a pure text description, without any mathematical formulas or symbols, and what they finally tell the author may be: overhaul.

When encountering this kind of one-sentence + overhauled reviewers, more than 90% of the authors of the papers will surrender. The society can’t afford to provoke them, and if they bother the boss, they will retreat.

Shen Qi Xiaoxiu edited the first four papers, oh, one of them was jointly signed by Ouye Xiaoxiu.

However, for the fifth paper, which is also the most complicated one, "Analysis of Generalized Nonlinear Complementary Problems Constrained by Linear Inequality Constraints", the reviewers' comments can be summed up in one sentence: "Overhaul!"

Based on the generalized Jacobian matrix of semi-smooth equations composed of generalized complementarity problems, finding a linearized quadratic model with ellipsoidal constraints is Shen Qi's core argument logic.

Around this core logic, Shen Qi completed a 15-page thesis.

The reviewer holds a different point of view. He or she believes that F, G: ΧR^n→R^n is continuously differentiable, Χ contains n-dimensional inequality constraint sets, and the use of approximate Newton method and generalized quasi-Newton method does not involve overall convergence.

Obviously, the reviewer's point of view is contrary to Shen Qi's logic.

As for who is right and who is wrong, Shen Qi thinks he is right.

Shen Qi didn't know who the reviewer was, or which university or research institution's mathematics expert. Under the single-blind process, Shen Qi only knew the editor.

In fact, I have never met the editor and had tea with me. The understanding here only exists on the Internet and in emails.

The editor of "Mathematics Herald" is called Xu Weini, and Shen Qi already knows such a name, so the name may be a female editor.

Of course, Shen Qi had an idea about the reviewer's review comments.

In order to write the paper "Analysis of Generalized Nonlinear Complementarity Problems with Linear Inequality Constraints", Shen Qi almost lost his temper. Now you tell me that what I have done is basically useless, overhaul? No, I, Shen Qi, refuse to accept it!

Dissatisfied?

That makes sense.

Convince people with reason.

Shen Qi created a new LaTeX document in his laptop, started typing, and wrote mathematical formulas, supplemented by text explanations.

What he has to do is very clear, to prove the logic of his argument is correct, and to point out the logical errors in the reviewers' comments.

▽Φ(x)=V^TH(x)=▽F(x)(A(x)-I)H(x)+▽G(x)(B(x)-I)H(x)

Here A(x) and B(x) satisfy the diagonal matrix of formula (7).

Consider the vector (A(x)-I)H(x), its construction shows that its i-th component is non-zero equivalent to Hi(x)≠0.

That is, one of the following conditions is satisfied:

(1) Fi(x)≠0 and Gi(x)≠0

(2) Fi(x)=0 and Gi(x)\u003c0

(3) Fi(x)\u003c0 and Gi(x)=0

...

It can be proved that if ▽G(x)^-1▽F(x) is a P-matrix defined in linear algebra.

Then ▽G(x)^-1▽F(x)(A(x)-I)+(B(x)-I) is non-singular.

Therefore...

Shen Qi coded quietly, and stubbornly reasoned.

Ouye quietly looked at Shen Qi's code words, and coded a few formulas on her computer from time to time. She was inspired. She and Shen Qi were studying the same thesis and the same topic.

When he first wrote the thesis, Shen Qi had no opponents, and he could justify the logic of his thesis.

But now, Shen Qi has an opponent, and the opponent says that his logic is wrong and needs to be overhauled.

An academic paper, especially a mathematical paper, is not afraid of errors in details and partial calculation deviations, but is afraid of being accused of core logic errors.

The author's core logic is overthrown, which is tantamount to being completely negated. This paper was written in vain, and the overhaul is equivalent to writing a new paper.

Overhaul the yarn, Chinese New Year is coming soon, who is in the mood to overhaul with you?

In order not to overhaul, Shen Qi needs to use sharper and sharper mathematical language to prove that his logic is correct, impress the reviewers, and conquer the reviewers.

The job lasted all morning.

Cuckoo, Shen Qi's stomach made muffled noises, he was hungry.

"Waiter, add water and provide some food." Shen Qi called the waiter.

The waiter's nose was sour, and tears were about to flow out. It was not easy. This man and woman came to our house to drink plain water and became VIP members, and finally they were willing to order food once.

"Excuse me, what do you want to order?" The waiter handed the menu to Shen Qi, and said, "Set B is a set for two couples. You can enjoy a discounted lunch. It's very cost-effective. I recommend you to order this set."

Set B is a combination of steak + spaghetti + small bread + salad + coffee. Shen Qi said: "Then order this set. We only drink pure water, and we don't need coffee. Let's pay less."

"It's so much money if you don't want coffee." The waiter said politely.

Shen Qi: "Then don't order the set meal, it's young people who will never die of starvation."

"All right, let's not want coffee, and pay less. I will explain to the store manager later. After all, you are VIP members of our store and enjoy privileges." A package is lost.

"Can the discount of the VIP card be weighted to the discount of package B?" Shen Qi asked again.

The waiter didn't understand: "What weighting?"

Shen Qi explained: "The full-time discount value of the VIP card and the lunch discount value of package B will calculate a final value, which is the actual value we need to pay when we pay. I mean, the actual value when we pay Is the amount a weighted average? It’s better to ask clearly to avoid disputes.”

Shen Qi popularized the weighted average for a round of science. The waiter didn't understand it too thoroughly, but he probably understood it. He said: "If you enjoy the package discount, you can no longer enjoy the VIP discount. Whichever has the higher degree of discount the one."

Shen Qi shook his head: "This is unscientific, so what's the use of my VIP card, I can only enjoy the discount of pure water, water card? The reason why I don't simply use the algorithm of multiplying 40% off by 20% off, but consider the weighted algorithm, It's scientifically based."

"It's really unfair for you to multiply 40% off by 20% off. A discount of 4.8% may make your store lose money, but considering the weighting coefficient, everything is reasonable. Don't argue with me, the National Bureau of Statistics also calculates this way." Shen Qi said.

"I... I'll ask the store manager for instructions, please wait a moment." The waiter with a technical secondary school education retreated, not to be provoked.

After a while, package B was delivered to the booths of Shen Qi and Ouye, without coffee.

"This is a weighted set meal, please use it slowly." The waiter maintained a polite attitude. Today he learned a knowledge point, the weighting algorithm.

"So your manager knows math?" Shen Qi asked the waiter.

"The store manager graduated from college, so he is educated." The waiter said, and then left to receive other customers.

"The spaghetti is yours, and the other food is mine. Eat it, move the fork." Shen Qi put the spaghetti in front of Ouye, he finished the steak first, replenished his strength, and continued to fight.

Ou Ye doesn't eat much, a serving of spaghetti is enough.

The two people from the Department of Mathematics of Yanda University had a working meal and discussed a few math problems from time to time without taking their eyes off the computer.

At two o'clock in the afternoon, Shen Qi finally finished writing the "appeal draft", and he showed the draft to Ouye: "What do you think?"

Ouye studied for a long time and came to a conclusion: "Fat."