Research starts with PhD students

Chapter 2: Your level is almost catching up with me!
"With enough research coins, any research can be completed. The problem is..."

“Scientific research coins are hard to earn!”

In the function corresponding to 'Scientific Research Coin', there is a column with a very clear introduction -
[Currently, it increases by 1 point every day. You can obtain a certain amount of scientific research coins by completing cutting-edge achievements. 】

【Scientific research currency: 1. 】

One scientific research coin will be issued every day as a 'minimum living allowance'. If you want to have more scientific research coins, you need to complete cutting-edge research.

After Zhang Shuo had a general understanding, he supported his forehead and sat up again, looking at the pile of calculations on the table.

These are listed based on experimental test data and need to be solved and calculated before the next step of entry and analysis can be carried out.

The calculation content can be difficult or easy.

For the simpler ones, you can get the result by just making a transformation, and some are even just a linear equation in two variables.

The more difficult ones are differential equations, partial differential equations, and systems of equations with partial differentials. To calculate the results, you need to use numerical methods to verify and find suitable approximate solutions or approximate solution intervals.

Dr. Zhang Shuo studied theoretical physics and has achieved many results in the field of theoretical physics. Although his mathematical level cannot be said to be among the best, he is definitely among the top of the pyramid.

Solving partial differential equations is not his research direction, but there are so many application scenarios for solving partial differential equations that any research in science or other majors will definitely involve it.

He completed a few calculations slowly, and then encountered a complex system of equations that was not easy to solve.

"We still need to study this set of equations..." He took a quick glance and knew that it would be easiest to use a numerical method.

The numerical method is to substitute the estimated value or numerical range into the equation for verification.

To put it bluntly, it is 'guessing the result'.

When faced with a complex equation that cannot be solved, guess the result or the range of results, and then determine the result to be within a range.

This is the numerical method.

Most partial differential equations require numerical methods to find the interval of solution, which is applied to industry or experimental research, that is, to obtain the "approximate data range of demand".

Most partial differential equations cannot be solved, let alone complex systems of partial differential equations. However, solving partial differential equations is a problem that cannot be avoided in many studies, so numerical methods are widely used for solving them.

At the same time, numerical methods for solving partial differential equations have also become a major category of computational mathematics research.

Zhang Shuo spent more than ten minutes doing preliminary calculations and came up with a rough range of answers, but he was still not satisfied with the results.

"The range is too large..."

He suddenly thought of the scientific research support system and decided to try using the system functions.

Create a task -

【Task 1】

[Research project name: Finding the approximate solution interval of partial differential equations (difficulty assessment: F). ]

(The mission can be upgraded to C level.)
【Progress: 27.301%.】

(The task can be canceled. Currently, the number of scientific research coins required to cancel the task is 0.)
(The remaining progress requires 1 scientific research coins.)
"Can the mission be upgraded to C-level?"

Zhang Shuo stared at the line of words in the message, thought about it carefully and understood.

He planned to use numerical methods to solve the system of equations. The requirement was only to narrow the range of the solution. As long as he was patient and spent time on research, he could get the results.

Therefore, the difficulty is only the lowest 'F' level.

Solving systems of partial differential equations can also become very difficult, for example, requiring several sets of specific solutions or minimizing the interval of solutions, or performing a detailed analysis of all possible solutions, etc.

In this way, the corresponding difficulty will increase exponentially.

Level C may be because there are two relatively simple equations in the system of equations.

In the field of partial differential equations, the most famous Navier-Stokes equations (NS equations) are one of the seven world problems of the millennium in the field of mathematics.

Zhang Shuo certainly would not increase the difficulty, and the job requirement was only to give a rough range of solutions.

He thought about it and decided to use scientific research coins.

【Scientific Research Coin-1】

The moment after the system prompted, Zhang Shuo felt his mind become clearer, his thinking became more flexible, and his analytical thinking became smoother.

“This kind of reinforcement…”

“It’s so helpful for research!”

He immediately immersed himself in solving the problem.

For Zhang Shuo, the difficulty of the complex set of equations was not too high. His thoughts became smoother, and coupled with the "direction" brought by the progress of the task, he quickly completed the calculation work.

Complete the problem in ten minutes.

The task progress also increased to 100%, but it was a pity that it was not a "cutting-edge achievement" and there was no reward of scientific research coins.

Zhang Shuo continued to complete other calculations, and it took him about an hour to complete all the calculations on the paper.

At the same time, I also learned about the role of scientific research coins.

Scientific research coins can help focus attention and increase brain activity, probably allowing people to maintain their best working state.

The effect lasts about an hour.

After using scientific research coins, the initial effect is the best, but after half an hour, the effect weakens a little.

……

"Boom, boom!"

The office door rang.

Several people looked up together and saw a woman in her early thirties who wore round-frame glasses and looked quite elegant.

She stood in front of the door and said with a smile on her face, "Teacher Luo, I hope I'm not disturbing you?"

"Professor Gao, come in quickly, come in quickly!"

Luo Yongjun welcomed Gao Xiaohong in and introduced her to the two students, "This is Professor Gao Xiaohong from our school. She is only 30 years old and a top student at Heidelberg University."

He added, "The differential equations class she took in graduate school was mine."

"I'm just an exchange student." Gao Xiaohong shook her head and explained, then asked, "Professor Luo, how is your work?"

"The goal of this experiment is to supplement the measurement of the quantum state properties of particles."

“Whether the experiment can achieve its goal or not, we are participating in this on behalf of the university and we cannot let it down in the report.”

Luo Yongjun smiled and said, "My work here is not a big problem. It's just the calculation of some data. There are several other groups in Area B involved, and the results can be compared with each other. Will it be more difficult for you to do the analysis later?"

“That also depends on your work.”

Gao Xiaohong said.

She is also a professor at Soochow University. Her main research areas are quantum physics and quantum computing. After the experimental analysis data is submitted for review, she will continue to work at the experimental base.

This time I came here just to show my concern for the team sent by the school.

She chatted with Luo Yongjun for a while, and then she whispered about the two students, "Teacher Luo, this is your first year supervising doctoral students, right?"

"The doctoral supervisor who was promoted last year only recruited two students."

"Liu Chengjie and Zhang Shuo." Luo Yongjun pointed at the two and introduced them. "Liu Chengjie received his bachelor's and master's degrees from Soochow University, and Zhang Shuo is from Donggang University."

He then whispered, "Zhang Shuo, you know, right?"

"I never thought that the first-year PhD students would encounter such a problem. There is no precedent in the country for having their master's degrees revoked while they are studying for a PhD!"

Luo Yongjun shook his head and said, "The school asked me about it, and I said I still wanted to continue to teach him."

"you are nice."

Gao Xiaohong nodded affirmatively at Luo Yongjun, "I've also inquired about this matter. It sounds a little strange, but there's nothing we can do about it. In fact, it has nothing to do with our school. Fortunately, there is little public opinion, otherwise the school would also be under pressure."

After she finished speaking, she asked curiously, "How is Zhang Shuo's level?"

“I don’t know yet.”

Luo Yongjun explained, "I have only been attending classes before, and I have not yet had much exposure to the subject, and I have not yet decided on a research direction."

"I do know something about Liu Chengjie. I taught him a course when he was a graduate student, but doctoral students mainly do research, so it's hard to say."

He smiled bitterly and said, "To be honest, I was also nervous when I was a doctoral supervisor in my first year. It's easier to supervise master's students. For research, at most I can just give them a direction. If they are patient, they can always write a paper."

"Doctor, you have to find your own direction. I can't write SCI for them..."

Luo Yongjun muttered softly.

Gao Xiaohong nodded. She first walked behind Liu Chengjie and watched him do a calculation analysis.

Then he looked behind Zhang Shuo.

Zhang Shuo was looking through experimental data and information related to experiments on particle collisions and spectrometer detection. The data and information were very complex, and many of them were just codes for regions and energy level values. Just figuring out what the symbols stood for was a headache.

But to Zhang Shuo, it was nothing.

In his previous life, his team conducted experiments to verify the "source point theory". The goal was to find evidence of the relationship between electromagnetic force and gravity between particles in a special high electromagnetic environment.

The particle motion analysis involved in this type of research is much more complicated, and if we hope to connect it to the influence of the four forces, the data analysis will be even more cumbersome.

Gao Xiaohong stood there for a while, and couldn't help but ask curiously, "Student Zhang Shuo, do you understand?"

"Know a little."

Zhang Shuo turned his head away.

Gao Xiaohong suddenly became more curious. She pointed to a number and asked, "What do these two numbers represent?"

"Target punctuation, and target energy value."

"what about this?"

"Point to the image index code."

"what about this?"

Zhang Shuo was silent for a moment, wondering if his performance was a bit too much for a doctoral student.
Gao Xiaohong saw him stop and didn't ask any more questions, but picked up the full document on the table.

The calculation results are recorded one by one.

She looked at it carefully for a long time and asked doubtfully, "Is this all yours? Already finished?"

"Ah."

Zhang Shuo nodded.

Luo Yongjun also came over curiously. He took the calculation results and glanced at them. He was also surprised and asked, "Zhang Shuo, have you finished it?"

Zhang Shuo nodded again, "Just finished."

"Are your calculation abilities so strong?" Luo Yongjun lowered his head and looked at it carefully, while asking, "Can I hand it in now? Let me check it."

"Okay."

Zhang Shuo remained very calm.

In my previous life, I was engaged in complex theoretical physics and experimental research. With the help of the scientific research system, it was no big deal for me to solve some mathematical calculation problems faster.

Luo Yongjun was very surprised because he was the one who assigned the work to Zhang Shuo and Liu Chengjie.

For an ordinary newly enrolled mathematics PhD student, it would take at least several hours or even a day to complete.

"It was completed so quickly, there must be a lot of mistakes." Luo Yongjun thought so and returned to his seat to check the calculations.

Gao Xiaohong also followed curiously.

The two of them checked a few problems together and whispered to each other, "There are no problems with these, especially this difficult system of equations, the range of the approximate solution is already very small."

"If it were me, I couldn't do any better."

Luo Yongjun pursed his lips and commented, "If the results are all right and it was completed so quickly, this level is better than mine..."

"Cough cough~~"

“They’re almost catching up with me!”

(End of this chapter)