In fact, this question is not difficult, the difficulty lies in how to properly find the necessary and sufficient conditions for the equal sign to be established!

Jiang Shuiyuan stood up and came to the window, opened the window, and looked at the lights and noise on the other side of the lake through the scattered bamboo shadows. The cool breeze at night took the opportunity to enter, and passed lightly across his cheeks, ears, and hair, causing the somewhat dull thinking to jump in. Then he had a hint of doubt: Has no one ever thought of such an obvious problem for so many years?

Obviously impossible!

Are researchers who really stupid to find topics and write papers?

As soon as the thought arose, he could no longer hold back. Jiang Shuiyuan simply packed up his things and went straight to the library. He opened the database in the electronic reading room and checked it. As expected, there were as many as 10 or 20 papers on the inequality of matrix rank, which were almost proved from different angles and different methods. Some of them had the same idea. If they changed the topic, they would be published elsewhere.

After scanning the paper in a hurry, Jiang Shuiyuan began to worry about another question: should he copy other people's things directly, or should he find another way?

Of course, after reading so many papers, the possibility of finding a new path is almost zero. It is still the same old saying, if the researchers who are trying their best to find a topic and writing papers are stupid? But if they really want to copy other people's papers directly, they feel a little guilty. Although it is the opening book, it is the result of others. This is their own exam. How dare you beat the stealed gongs and drums in public?

After thinking for a while, Jiang Shuiyuan decided that if he could come up with a new method, he would naturally be fine and he would not be able to think of it. Then copy an article to deal with the errands. No matter how you say you can learn from other people's achievements, it is within the scope of the rules.

After staying up for a long time, Jiang Shuiyuan didn't come up with any better way. The next morning, he had to copy a proof that he thought was more clever and handed over. When handing over the paper, Jing Peng happened to come over. Seeing Jiang Shuiyuan with dark circles, he took the initiative to ask: "What do you think of the question? Have you finished it?"

"The topic is quite differentiated. The previous one is more basic, and the more difficult it becomes. I've finished it all,"

"All done? How did you do the last question?"

Jiang Shuiyuan scratched his head embarrassedly: "To be honest, I have read many methods of proof online, but I have no idea to update, so I had to copy one article to complete the task."

Jing Peng laughed: "What's so sorry about this? Since it's an open book, isn't it just allowing you to flip through books and search for information online? And what I want to tell you is that it's necessary to be a mathematician, to do scientific research, and refer to other people's achievements, and it's the first step to start. Otherwise, after working hard for a long time, it's all about repeating the paths that others took a few years ago and decades ago. What's the point? Just like Mendel's law of genetics, it was then passed by Fries in the Netherlands and the German sciences in the Netherlands.

Rance and Austria's Chelmarck independently discovered the fast Fourier transformation, which is usually believed to be invented by Kuli and Tukey in 1965. In fact, Gauss had proposed similar algorithms as early as 1805, and during this period, it was proposed by others in their own ways several times. Decades ago, we could say that it was caused by poor information exchange and obstacles in communication. If similar problems still occur today, it is that our early literature preparation and plagiarism checking work are not solid!"

Jiang Shuiyuan had a respectful attitude: "I've been taught!"

"Of course, the first thing to do is to refer to other people's achievements is within the scope permitted by the rules. Plagiarism cannot be plagiarized. No matter when or where, citing or referring to other people's achievements must be clearly marked."

“It also includes the exam?”

"Including! Academic norms become rigorous academic habits through strict daily training. Don't be afraid of trouble. If you are labeled as academic misconduct because of bad academic habits, that is the real trouble. At the same time, you must also pay attention that when referring to other people's achievements, you must confirm the path others are taking and the conclusions drawn are correct!"

"Well, is there anything wrong?"

Jing Peng was amused: "Are you kidding? If the results published are correct, we would have flew out of the solar system long ago! Didn't there be news reports some time ago? More than 200 psychologists tested 28 highly cited and sensational studies, about half of which cannot be repeated, that is, about 50 are at least not so reliable. These are still very famous and more reliable studies. What are the results of those not famous papers published in the corners? Do you feel cold on your spine when you think about it?"

"This is true!" Jiang Shuiyuan never expected that the academic circle, known as the "ivory tower", would have this side.

"Maybe you would say that psychology is a metaphysics, and many factors may cause the experimental results to not be repeated. So we can say that the research on relatively popular and scientific materials, that is, metal organic framework materials, has always been the result of a study. According to the conclusions of a study, there are also 20 papers that cannot be repeated. What about those papers based on these wrong experimental results? And the field of regeneration and repair of cardiomyocytes that has just been revealed recently has been found to be fake, which has almost wiped out the entire research direction. Therefore, when doing research, you must be boldly guessed and carefully verified, which includes the test of the previous research results."

Jiang Shuiyuan remembered that Sir Atya announced not long ago that he had proved Riemann's conjecture, and couldn't help but sigh: "It seems that academic research is like marching and fighting. You must be careful and take every step forward. If you are not careful, you will fall into a trap and kill the generals of the army."

Jing Peng said: "It's best for you to have this enlightenment!"

Later that day, Qiu Wanping urgently summoned Gao Boshu from the Geometry Teaching and Research Department. Gao Boshu is a Ph.D. in Mathematics at Guanghua University. He was recruited into the school two years ago and was the youngest lecturer in the teaching and research department. When Qiu Wanping met, he said in a slight manner: "Xiao Gao, have you heard of it?"

"What did you hear?" Gao Bozhu was confused.

"Didn't our Mathematics Department recruit an admission to a student this year?"

"I know this. He has seen him before. He is smart and handsome. I heard that he has won the first prize in the National Mathematics and Biology Olympics. He is really a rare good seedling in our school! Why, Director, do you want me to tutor him?" Gao Bozhu was eager to try.

Qiu Wanping's face turned dark: "I'll talk about the tutoring matter in the future. Now there is something to trouble you about him. That's right. Xiao Jiang, a person who is recommended to be a student, is really smart. He has studied Olympiad Mathematics before and was originally intended to be admitted to Jingshi University, but by chance, he came to our school, so he was inevitably a little arrogant. He was asked to take the final exam from freshman to junior high school shortly after entering the school."

"Wow, that's amazing! Director, do you agree?"

Qiu Wanping's face was even darker: "What do you agree with?! What if he passed the exam and didn't know the inside and outside the school, he thought that even a senior student in our mathematics department would do it. Where would our mathematics department face be put in the future? So I thought of using exams instead of exams. The first exam for math analysis was that because I didn't know his situation, the question was well, which was relatively simple, and he got all the answers correctly. Then, in the second advanced algebra, I suggested that the question be more difficult, and I wouldn't deliberately make things difficult for him. At least I couldn't give him a full mark, so I could give our department a little bit of face. As a result, I didn't expect that even I would do the questions they asked!"

“That’s really a bit too simple.”

"Um?"

"I mean, what is the purpose of asking me?"

"Now Xiaojiang's second grade is full again, and we will take the third grade of analytical geometry. Analytical geometry is one of the three basic courses in our freshman year of mathematics, with a total of 5 credits. Today I'm looking for you, with the purpose of asking you to give Xiaojiang 10 major questions. The form is to open the paper, and the answer time is about 12 hours."

"So?" Gao Bosuke was a little confused: If only 10 questions were asked, just make a phone call, why do you need to let yourself go?

Qiu Wanping indeed added: "Of course, I have a small requirement, that is, the knowledge points tested must be within the scope of the course, and the difficulty of the questions must be controlled, and they cannot get full marks or fail. It is best to let him rack his brains and try his best to get about 85 points in the end, thereby dampening his arrogance, retaining his aura, and letting him fully realize that the content of the university is still very difficult, and the courses in our mathematics department are still very inspiring. How about it?"

Gao Bosuke blinked his eyes: "Director, this is a bit difficult to ask! Otherwise, you should make the question in person!"

Qiu Wanping was furious: "If I could set questions, would I still look for you? Hurry up, the face of hundreds of people in the mathematics department depends on you!"
Chapter completed!