Research starts with PhD students

Chapter 32: The superiority of a PhD in mathematics!

It’s good news that you can upgrade with krypton coins and open an extra task bar.

Research tasks are the core function of the system.

When there is only one task bar, there is no way to use the task system to assist in solving other problems during the difficult research process.

Multiple taskbars are very useful.

Zhang Shuo suddenly thought of a very crucial question.

After establishing a research task, the work done by others can also improve the progress of the task, and he can use "氪币" to find the direction.

If you tell others about the direction of your inspiration and they work hard on the research, the progress of the task can be improved.

Repeat the cycle until the study is complete.

At that time, you can submit tasks and get rewards in scientific research coins?
"So, if you help others do research, as long as you can always know the research status, you can also get research coins as rewards..."

"Think about it from another angle. When leading a team to do a project, I just need to grasp the key direction?"

"Right!"

“In any groundbreaking research, inspiration and direction are the most important!”

After Zhang Shuo understood the system mechanism, he calmed down and digested the inspiration he had gained.

Krypton coins increase the task progress by 1%.

He also got the next research idea, which was to continue transforming the transformed equation by introducing differential operators to simplify it.

An operator is a mapping from a function space to another function space.

Generally speaking, any operation on an arbitrary function is considered an operator, but if it is just a fixed and easy-to-understand transformation, there is no need to use an operator, just a conventional representation will suffice.

The differential operator is a commonly used operator.

After introducing the differential operator, the transformed equation can be expressed as an operator function and an equation, and then we can conduct comparative analysis and study the relationship between the images. At the same time, it is also related to the ordered proof part mentioned by Luo Yongjun.

This is the starting point for the argument of the density function.

Zhang Shuo sorted out the content, wrote it down in a draft book, then looked up and around.

Sun Xingli is still busy with the complicated Diophantine problem.

Luo Yongjun was scratching his scalp hard, as if there was an irreconcilable hatred between his fingers and his hair.

Zhang Shuo also noticed that a few strands of hair had fallen down. He felt sorry for Luo Yongjun and quickly stood up and walked over. "Teacher Luo, I have an idea. Do you think it will work?"

"Tell me."

Luo Yongjun obviously didn't care.

His research has been stuck for two months.

After learning about Zhang Shuo's substitution transformation method, he tried to transform the equation, but did not solve the fundamental problem - where to start to prove the density function?

This is difficult.

Zhang Shuo is indeed a genius, but his main areas of expertise are computational mathematics and algorithms, and he has never conducted any research on difficult partial differential equations.

Besides, in less than twenty minutes, what could you come up with?
Zhang Shuo placed the draft in front of Luo Yongjun, pointed to a series of new contents and began to explain, "This is what I think."

"This transformed equation can be simplified by introducing a differential operator."

"First, set a differential operator..."

Luo Yongjun was stunned when he heard it, and then he became much more serious.

Substitute in the differential operator?

This was an unexpected solution.

Zhang Shuo continued to explain, "The transformed equation is complicated because the form has changed. We can use differential operators..."

"Then, compare the operator functions and equations. This is the comparison image..."

"From here we can connect to the ordered proof part..."

The more Luo Yongjun listened, the brighter his eyes became. In the end, they were even sparkling. He slapped the table excitedly and said, "That makes sense!"

"Bring in differential operators to solve the problem, that's brilliant!"

"This direction may work. We can start from here to prove the density function..."

"I'll take a look again!"

His attention was quickly drawn to research.

"Teacher Luo is very dedicated when doing research, and his level is very high! You really can't underestimate any mathematics professor..."

Zhang Shuo sighed silently.

Every PhD in mathematics was a top mathematical genius during his student days.

It is even more remarkable for a mathematics professor to stand out from a group of mathematics doctoral students and engage in mathematical research.

……

After helping Luo Yongjun solve the research problem, Zhang Shuo left the computer room.

As soon as he walked out of the door, Sun Xingli raised his head and asked in a low voice, "Gone?"

Then he walked to the door and looked outside, and when he saw that there was no one in the corridor, he suddenly felt relieved.

"Finally gone!"

Sun Xingli sighed, "It's really stressful. A doctoral student works hard on research every day, and more importantly, there are great results!"

"When he was around, I felt like I was wasting my time and waiting to die."

"My life has no meaning. Not only do I not do research, but I actually waste my time playing games!"

"Lao Luo, you feel the same way, right?"

Sun Xingli walked behind Luo Yongjun and found that Luo Yongjun was still thinking about the problem. He immediately smiled and said, "Stop pretending!"

"Zhang Shuo has already left!"

"Stop making noise!" Luo Yongjun shouted impatiently.

Sun Xingjiang was a little confused and asked in confusion, "Are you really doing research? Zhang Shuo helped you think about it and you found inspiration? Is it really no problem?"

"Is it true?"

He continued to observe and think, "If this is the case, this model... is a bit like a mentor guiding a student."

“When students don’t know what to do next, the instructor gives them some guidance… Yeah, yeah!”

"Lao Luo, if you can complete this research and publish the paper, you will be the first author, and you must give Zhang Shuo the corresponding author."

"Hahaha……"

He said with a laugh.

Luo Yongjun stood up suddenly, pointed at the door and shouted angrily, "Go, get out!"

"This is our project computer room. What do you do?"

"Get out quickly!"

Sun Xingli shrank his neck and quickly waved his hands to admit his mistake, "It's just a joke! Don't take it seriously! Hahaha..."

"Lao Luo, Professor Luo, Professor Luo, I won't speak, I will remain quiet, don't worry, I will definitely not disturb you!"

"You are busy, you are busy!"

……

In the next few days, Zhang Shuo had a very leisurely life.

He goes to class when he has classes, and spends the rest of his time checking his phone, walking around the campus, running on the playground, playing ball, and he even plays games with other classmates to kill time.

He went to the computer room once during the process and found that Luo Yongjun was there, so he devoted himself to his research and simply did not disturb him.

This morning there was a degree course called "Complex Differential Equations".

A complex differential equation is an ordinary differential equation whose solution is a function of a complex variable.

Differential equations can be difficult to understand when they involve complex numbers.

When the teacher was lecturing on the podium, all the students listened very carefully, fearing that they would not understand if they could not keep up with the progress.

Zhang Shuo also listened very carefully. Since it involved some knowledge that he was not familiar with, he had to increase his understanding. There was no harm in making his knowledge more comprehensive.

Professor Zhao Chengbo, who was giving the lecture, clearly preferred Zhang Shuo.

One reason is that Zhang Shuo is really excellent. After a few classes, I feel that he can keep up with the students' ideas and no problems in the course are difficult for him.

The second reason is that Zhang Shuo is a popular little celebrity in the School of Mathematics, and many professors have benefited from the million-dollar projects he worked on.

Although the salary is only 10,000 or 20,000 yuan, or even as little as a few thousand yuan, it is still some extra money, and it can also make professors with less funding more relaxed.

Some even gave their students more subsidies, which made them look much better.

The professors in the college can also judge that Zhang Shuo may graduate earlier than other doctoral students, and there is a high possibility that he will stay in school after graduation.

After the course was over, Zhao Chengbo chatted with Zhang Shuo for a while, "Have you thought about your graduation thesis?"

"I think you can prepare in advance. PhDs usually take three years. In fact, there are no classes in the second year of the mathematics department."

"If you prepare your thesis in advance, you can graduate next year!"

Others looked at Zhang Shuo with envy.

While they were still struggling for their research direction, Zhang Shuo had already achieved research results and completed a major project. Even the professor said that he could prepare his graduation thesis?

Doesn’t this mean that the road to graduation will be smooth?
"I haven't thought about it yet. It feels a bit too early." Zhang Shuo shook his head and said, "I still need to prepare my doctoral thesis well."

"The doctoral dissertation is very important and it affects your future employment..."

Zhao Chengbo got stuck and then shook his head, "It doesn't matter to you. The content of a doctoral thesis is related to work and employment, but the project you completed is more convincing."

Zhang Shuo chatted with Zhao Chengbo for a few words, then walked out of the classroom with Huang Kai and Liu Chengjie.

Look at the time, I can stroll to the cafeteria leisurely.

Huang Kai said as he walked, "We mathematics PhDs should walk slowly and always maintain a leisurely state."

"why?"

“This is the sense of superiority, the sense of superiority compared to PhD students in other majors!”

"Look at doctoral students in other majors, they are busy every day, doing experiments and keeping records, some of them are busy until after the early morning, but we don't need to do anything."

Liu Chengjie couldn't help but complain, "They have to do experiments, but our papers are more difficult..."

Huang Kai rolled his eyes, "Stop talking about topics that ruin the atmosphere, okay?"

The three of them entered the cafeteria together.

After Huang Kai received a call, he quickly ordered two boxes of lunch and left a message, "My tutor asked me to come over, you guys eat!"

Then, run away.

Liu Chengjie behind him shouted with a smile, "Huang Kai, don't be anxious, walk slowly and leisurely, and maintain your sense of superiority!"

Zhang Shuo smiled and after preparing his own meal, he slowly walked to the opposite side of Liu Chengjie and was about to sit down.

Suddenly, a voice came from the side, "Senior! Over here! Over here!"

He turned around and saw that they were the two school girls he met in the library last time. Their names seemed to be...what were they?

"Senior! Over here! I have a question..."

The petite schoolgirl ran over enthusiastically, took Zhang Shuo's plate and helped to carry it to the side.

Zhang Shuo could only give Liu Chengjie a helpless look.

Liu Chengjie looked around and suddenly felt alone. He couldn't help but sigh, "In the end, I'm the only one left."

"Why is it always like this..."

(End of this chapter)