A genius? I just love studying.
Chapter 84: Understanding
Chapter 84: Understanding (5th update)
Fang Wen was silent for a while before replying with an exclamation mark.
Fang Wen was lying on the bed, staring at the ceiling with lifeless eyes.
I can tell it at a glance.
He watched for more than ten hours and still couldn't figure it out!
Are everyone's eyes really the same?
Is this the insight of genius?
Communicating with such a genius really makes people feel powerless.
But soon, Fang Wen's eyes suddenly lit up.
He jumped up from the bed, his hands moving across the keyboard. "How's your Frattini quotient learning going?"
“Only to understand.”
"Wait a moment, I'll send you some information, can you help me take a look?"
Fang Wen is also trying his best to save his life. Recently, his graduation thesis is stuck at a critical step, and his supervisor asked him to revise it, saying that there is a problem with the thesis proof.
The eldest senior brother was also at his wit's end. Graduation was approaching next year, and he was so worried that he almost gained ten pounds.
So even though he had just added Chen Hui as his friend, he asked for his help without hesitation.
As for the other party's claim of just understanding, he didn't take it to heart at all. God knows how big the gap is between the genius's understanding and his understanding. He has a deep understanding of this.
He got out of bed, quickly turned on his computer, opened his graduation thesis, and sent it to Chen Hui.
Then his fingers clattered on the keyboard. "Start reading from page 18."
Fang Wen explained this first, then continued typing, describing his problem. "In my proof, I assumed that all automorphisms can be promoted via the Frattini quotient group G/Φ(G)..."
However, before he could finish his description, he received a new message: "There's something wrong with this proof. You assumed that all automorphisms can be lifted via the Frattini quotient group G/Φ(G), but you didn't rigorously prove the completeness of this lift. If the acyclicity of Φ(G) is not ruled out, there may be automorphisms that can't be lifted."
"???"
Fang Wen's hands froze on the keyboard.
This is called limited to understanding, right?
What the hell is this freak?
Director Liu must have spent two hours watching the film before he discovered this problem!
Press ctrl+A to select all, then delete the input and retype. "So, does the master know how to eliminate the non-cyclicity of Φ(G)?"
Chen Hui looked at the paper on his phone and fell into deep thought.
If Fang Wen talked to him about other things, he would definitely not have the time to pay attention, but if it was about mathematics, he would still be very interested.
The title of the paper Fang Wen sent him was "Analysis of the Automorphism Group Structure of Finite p-Groups with Cyclic Maximal Subgroups"
This was Chen Hui's first time reading a mathematics paper.
Quite interesting!
Fang Wen closed his computer, feeling a little excited.
Chen Hui can see the problem at a glance. Maybe he can really solve it. That would be great!
He paced back and forth in the room, destined to be a sleepless night.
Waiting is often the most difficult time. I don’t know how long it will take Chen Hui to solve this problem?
Fang Wen had already realized that he was a loser. If he could solve this problem, he wouldn't have spent a month without any progress.
Woohoo...
However, just as I was starting to feel nervous, my phone started vibrating.
It was a message from Chen Hui.
“First, we cite Blackburn’s theorem to classify cyclic maximal subgroups p-groups, and clarify that when G has a unique cyclic maximal subgroup, Φ(G)=G^p[G, G] must be a cyclic group.
At this time, the quotient group G/Φ(G)≌Cp×Cp, and its isomorphism group is GL(2, p).
Then, through restriction mapping, it is proved that the images of all automorphisms on the quotient group level fall into the GL(1, p) subgroup.
Then construct an explicit formula for lifting..."
Suddenly I understood, it was like an epiphany!
Looking at the words on the phone screen, Fang Wen felt as if a bucket of ice water had been poured over him, shaking him all over, yet his mind remained incredibly clear. He had realized something!
Without hesitation, he sat down at the computer desk, picked up the draft paper and started calculating frantically.
Chen Hui only gave him an idea, but the most crucial thing was already there. Next, he just needed to complete the proof process.
As a graduate student in the School of Mathematics, he can still do it.
On the other side, after Chen Hui typed the last word, a barrage of comments suddenly popped up in front of him.
[Your math level increased from level 2 38% to 39%]
"?"
My proficiency just increased by 1% in the afternoon, how come it suddenly increased again now?
The answer was self-evident. Chen Hui looked at the paper opened on his mobile phone.
He has always heard that college students need to write papers.
No wonder his proficiency in math slowed down after he reached level 2. It turns out his learning method was wrong!
For high school students, reading books and doing exercises is enough, but college students naturally have to write papers!
Having found the secret to improving his proficiency, Chen Hui was in high spirits. He no longer had time to read books and opened the paper sent by Fang Wen again and started reading from the beginning.
……
The night was getting darker and darker. After putting the two little ones to bed, Fan Rongrong washed up and went into the bedroom.
Not long after, Li Tianhua also came back.
"Xiaohui has been playing with his phone. Did something happen?"
Li Tianhua, with a tired face, took off his clothes, lay on the bed, and asked a question after perking up.
He felt that he had indeed paid less attention to the children in the past, but after a tiring day, he really did not have more energy to care for the children.
"We don't need to worry about Xiaohui. He's very self-disciplined."
Fan Rongrong rubbed Li Tianhua's shoulders and said, "Don't worry. I just passed by him from behind and saw his phone screen was covered in math symbols. He must be studying!"
"But you, why did you come back so early today?"
Li Tianhua remained silent.
"what happened?"
"What can't you tell me? We've come this far over the years, what are you afraid of?"
"Whatever it is, we can solve it!"
Fan Rongrong said firmly.
Li Tianhua stood up and hugged Fan Rongrong. After a long while, he slowly spoke, "I got a bad review today."
Fan Rongrong's heart sank.
For a delivery driver, even a bad review can be fatal.
The deductions due to bad reviews are secondary, but only 5-20 yuan.
The key point is that bad reviews will make Li Tianhua ineligible for awards and honors, and he will not be able to get the full attendance award or good review award set by the platform, and he will lose at least several hundred dollars a month.
In addition, the platform assigns orders based on the deliveryman's overall performance based on an algorithm. A large number of negative reviews will be judged as poor service quality, which will reduce the number of orders, resulting in fewer opportunities to receive orders and a significant impact on income.
To make matters worse, she also received a bad review today and the platform did not assign any orders to her.
This is why she came back so early today.
However, she still patted Li Tianhua on the back and said lightly, "It's just a deduction of money. At most, you'll have to eat steamed buns for a month. Just be careful next month. One bad review is not fatal."
She didn't tell Li Tianhua about her experience because she didn't want her husband to worry.
"But I'm not willing to give in!"
"I was clearly politely delivering her food, but she complained to me, saying I insulted her and that I wanted to come into her house because she was home alone..."
Li Tianhua's face was full of grievance. It was hard to imagine what kind of experience could make an adult show such an expression.
(End of this chapter)
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