I failed a course, and the system became my study supervisor.

Chapter 32 Physics Level 1
However, as the mid-term approaches, various exams are coming one after another. In addition, the courses chosen by students in the group and even in the same grade are not exactly the same, making time coordination even more difficult.

Unable to conduct experiments, Xu Ling's daily routine became monotonous, with only attending classes and doing exercises to earn study points.

The radii of the inner and outer conducting shells are R1 and R2, respectively, and their thicknesses are negligible. A fixed point charge is placed inside the cavity at a distance d from the center of the sphere, with the potential at infinity being the zero point.

(1) Find the electric potential at the center of the sphere O.

(2) If the inner and outer conducting spherical shells are filled with a dielectric with an absolute dielectric constant of ε, find the electric potential at the center of the sphere, O.

That afternoon, Xu Ling had no classes, so he didn't go to the classroom and simply stayed in the dormitory to do his homework.

Just as he finished the question in front of him, something unexpected happened.

Xu Ling felt his eyes light up, his brain suddenly became clear, and the fatigue brought by doing exercises disappeared in an instant.

Um? what happened?

Is it an illusion?

Xu Ling didn't take it to heart for the time being and continued to practice questions.

It was not until he was doing the exercises that he caught the same inspiration as when he was doing the exercises after the math upgrade that he suddenly came to his senses.

Is it an upgrade?

Without any hesitation, Xu Ling opened the system panel:
Mathematics - Level 1 (30/1000) (+)
b.Physical——lv.1 (0/1000)(+)
c. Chemistry——lv.0 (0/100)(+)
d. Biology and Medicine——lv.0 (0/100)(+)
e. Informatics lv.0 (0/100)(+)
f. Engineering lv.0 (0/100)(+)
g. Linguistics lv.0 (0/100)(+)】

Looking at the two outstanding lv.1s on his panel, Xu Ling was overjoyed and immediately decided to reward himself by doing a few questions.

While checking the panel, Xu Ling also took a look at his remaining points.

Study points: 120.

Motivational points: 0.

Having previously gained level 1 in mathematics, Xu Ling was a little excited, but he didn't care too much about level 1 in physics.

Xu Ling just regarded it as a milestone or achievement, and never imagined how much improvement it could bring to himself.

However, Xu Ling underestimated the combined effect of Mathematics and Physics Level 1:
In the following questions, Xu Ling was surprised to find that the questions that he had to think about before could now be answered directly by writing, and the questions that he could directly write about before could now be answered in his mind.

I rely on!

what happened?

Have the Ren and Du meridians been opened?

Besides being surprised, Xu Ling couldn't help laughing out loud due to the strong excitement and joy.

"What are you doing? You're laughing so happily." Yang Chaojie, who was closest to him, asked in confusion.

"Haha, it's so cool to do the exercises!" Xu Ling couldn't stop laughing.

Ok?
Is it still fun to practice questions?
Why do I feel sleepy when I do exercises?
Countless questions popped up in Yang Chaojie's mind.

Qin Kai and Wang Rui were also very confused.

No one has ever heard such words.

For a moment, the atmosphere became silent, and the only sound in the dormitory was Xu Ling's occasional laughter.

"Is this kid crazy?" Qin Kai leaned close to Wang Rui's ear and whispered.

"do not know."

Wang Rui shook his head.

Instead of wondering whether Xu Ling is crazy, it is better to see for yourself how amazing this person is who can get satisfaction from doing exercises.

This is what Yang Chaojie was thinking at the moment.

Then, Yang Chaojie took out his exercise book and found the question that had troubled him for a long time:
"Xu Ling, can you help me look at this question?"

Xu Ling readily agreed, took the notebook on the spot and started looking at the questions.

"Let A be any linear transformation on the n-dimensional real inner product space V. Prove that:
(1) A can be expressed as the product of two gauge transformations on V. (2) A can be expressed as the product of three self-adjoint transformations on V. "

Proof question!
For ordinary students, it may be the evil ghost in the book or the devil in the title.

But unfortunately, in Xu Ling's eyes, it was just a topic that he could start writing about directly, and at best it was just a little kid who was just there to make up the numbers.

So, as Yang Chaojie gradually lost control of his facial expression, Xu Ling picked up the pen and started writing without any pause.

“(1) According to the singular value decomposition theorem, there exist orthogonal matrices U, V and diagonal matrices ∑ such that A = U∑V. Let the matrices of the linear transformations B and Φ under T be B = U∑U^-1 and C = UV respectively.

Since A=BC, B is a symmetric square matrix, C is an orthogonal square matrix, we can get A=BΦ, B is a self-adjoint transformation, Φ is an orthogonal transformation, and B and Φ are both standard transformations.

(2) According to the orthogonal similarity canonical form theorem, there exists an orthogonal matrix P such that

......"

The whole set of movements can be described as flowing smoothly and completed in one go.

"This this……"

Yang Chaojie's speech was so slurred that he could only manage to utter "Oh my god!" after a long pause.

Ignoring Yang Chaojie's shock, Xu Ling just felt very lonely at the moment.

Just because I am too invincible!
……

After a few days of adapting to the strong performance of the team led by the dual core of mathematics and physics, Xu Ling finally became proficient in applying it.

However, as its own strength increased significantly, a new problem emerged:

That’s right! The question is too easy!

Almost all the questions in the exercise book can be solved by Xu Ling now, and he will only need to think for a dozen seconds at most.

In this way, doing exercises is no different from practicing calligraphy by copying books, and there is no training effect at all.

How to do?
Don’t do useless work!
At this moment, the system responded:

"Ding!"

"The mission has been updated, please check it in time!"

Sure enough, the system understands me!
While thinking about it, Xu Ling happily opened the taskbar:
【Ordinary tasks:
(50) Busy is the life of a top student (Updated): Please complete comprehensive exercises in one day, covering multiple subjects. The exercises are customized for the host by the system. (Can be claimed repeatedly)
Completion reward: 50 study points.

Failure penalty: deduct 80 study points.

Refusal: Yes.

Glory Mission:

(1) Martial Arts Performance to Win the Chip (Second Round)
……

(2) Strict self-discipline
...]

Love you so much! System!
Seeing that not only the questions were updated, but the reward was also increased to 50, Xu Ling was very excited.

The questions tailored by the system were just right. Although many of them required Xu Ling to think carefully, in the end Xu Ling was able to solve them independently.

Only by doing these exercises could Xu Ling truly feel the effect of the training, and he felt an indescribable sense of peace in his heart.

At the same time, while Xu Ling was doing the exercises, Yang Chaojie would occasionally find what he thought were "shocking problems" and ask Xu Ling to solve them.

But they were all easily solved by Xu Ling, which made Yang Chaojie doubt for a while whether the questions he found were really difficult.

It was not until he saw the questions Xu Ling had done himself that he realized that asking for help with questions that he found difficult was simply like showing off one's knowledge in front of an expert.

So were the questions Xu Ling did done by humans?

Yang Chaojie was extremely suspicious.

For Xu Ling, it had no impact at all, it was just a matter of convenience.

(End of this chapter)