I Exchange For Black Technology By Blowing Up The Bully

Chapter 192 All-Nighter Guess!

The two looked at each other with subtle expressions.

"Do you have any ideas?" Chu Long asked.

"A little bit." Song He said, "What about you?"

"A little bit."

"How about... try it together?"

"Go to the whiteboard!" Chu Long decided immediately.

Song He and Chu Long stood up at the same time, holding a handful of writing paper in their hands, and ran all the way through the entire auditorium to the front podium.

Chu Long dragged out all five large whiteboards from the backstage and placed them in a row on the stage.

Song He found a rag and quickly wiped all the words on the whiteboard clean.

"I write and you write?" Song He asked.

"I'll go first." Chu Long turned around and looked at the stunned Qiu Lingshan, "Shanshan, come and take a look too."

Chu Long found a half-broken marker pen from the bottom of the whiteboard, raised his arm and quickly wrote on the whiteboard, quickly writing down a long list of proof processes.

"My idea is this. Group G1 is an equivalence class for each coset of subgroup N1. Element classification is achieved through cosets, and the elements of G1 are mapped here..." Chu Long spoke quickly.

Song He folded his arms and watched from the side, frowning, and then interrupted after a moment.

"Have you ever considered negotiating away subgroups with the same properties? Can N2 cosets be used to represent all elements with the same properties?"

"I tried it, but there will be problems when solving it. If you only consider classification, the basic theorem of homomorphism used later..." Chu Long continued to write on the blackboard.

Song He shook his head, "Old Chu, you have gone astray. In fact, you can sort this out with a very simple combination of numbers and shapes."

Song He took two steps forward, took the marker from Chu Long's hand, and quickly drew on another whiteboard, annotating the images while explaining.

"I think of the cosets here as the replication of a stator group, like DNA splitting."

"The subgroup of the parent chain becomes a regular subgroup, and coset decomposition can make a business group with much better properties. After all, our purpose is to decompose large groups, right?"

"So the step you just wrote up to this point can actually be omitted." Song He drew a big circle, "Am I right here? Are there any questions?"

Chu Long pondered for a moment and nodded seriously, "Your method is faster, but what should we do next?"

"Shanshan, do you think there's a problem? If there's no problem, let's go down."

Song He turned around and asked Qiu Lingshan in the audience.

Qiu Lingshan stood dumbly, speechless.

The expression on her face was like that of a weasel on Lingshan Mountain who was caught stealing lamp oil by Tathagata Buddha. He spoke a lot of obscure scriptures and then asked if he understood. Have you attained enlightenment?

Chu Long also looked back at her, casting a look for advice.

"I... um... I didn't keep up." Qiu Lingshan was embarrassed, "I didn't even look at the guessing questions. I didn't feel like I could do it."

"Hurry up and take a look!" Song He urged, frowning and criticizing, "Comrade Qiu Lingshan! We are competitive students, the best among the best, how can we retreat despite the difficulties? I will give you two minutes to read the question, and three minutes to understand what we just said These, hurry up!”

Chu Long handed over the test paper, and Qiu Lingshan hurriedly read the questions, sweating all over her head.

Song He and Chu Long remained silent, silently staring at the formulas and patterns on the whiteboard and continuing to meditate.

After Qiu Lingshan finished reading the questions, she tilted her neck to look at the whiteboard again, and soon looked at a loss.

Chu Long sighed, "I'll tell you from the beginning again, and this time I'll follow you."

Qiu Lingshan climbed onto the stage, took a deep breath, and prepared to receive the infusion of knowledge.

Chu Long started speaking and went through it from beginning to end at double speed. He did not stop and continued speaking. During the contemplation time just now, he thought of two more paths and wrote them on the whiteboard respectively for his two comrades to consider. .

"The second road doesn't work." Song He glanced over and said firmly.

"Why?" Chu Long frowned.

"If the number 0 is also counted as a natural number, and the element e of the peano axiom is specifically defined as 0, the addition, multiplication and magnitude relationships in this step of definition must be adjusted." Song He said, "It was mentioned in "Elementary Number Theory", It was also discussed at the beginning of "Introduction to Algebra"."

Chu Long seemed to remember something and slapped his forehead, "That's right, I forgot."

"The first road won't work either." Qiu Lingshan struggled to keep up and expressed her opinion, "Look at the question stem, group C is an unknown quantity..."

"But it has been solved through mapping earlier!" Chu Long tapped a line of formula he had written before.

Qiu Lingshan was stunned, stopped talking, and continued to understand the contents of the whiteboard incomprehensibly.

Song He picked up the pen and started writing furiously without saying a word. He wrote a few lines and wiped them off with a rag. After a moment of hesitation, he continued writing on the blackboard.

The three of them concentrated in front of the whiteboard, taking turns writing on the blackboard, then discussing, and then erasing part of the writing on the blackboard or expanding part of the writing on the blackboard.

Unconsciously, the first whiteboard was filled with writing, with Song He's handwriting taking up half of it, Chu Long's handwriting taking up more than half of the rest, and Qiu Lingshan's Juanxiu small characters also taking up an area at the edge.

The bell suddenly rang!

The expressions of the three people all changed, and they looked up at the clock in horror.

At half past eleven!

The dormitory building is closed!

"It's over, I'm going to be punished!" Qiu Lingshan panicked, "You two are poisonous, I just came over to take a look, you had to drag me to do the questions!"

After saying that, she ran away.

After running a few steps, she looked back and her footsteps stopped instantly.

"What are you two doing standing around? Why don't you go back to the dormitory?" Qiu Lingshan asked.

Chu Long and Song He looked at each other, and they felt like they had a tacit understanding.

"I just came here and felt that my thoughts were interrupted when I returned to the dormitory. Let's stay here and continue to solve the problem." Song He said, "If you want to go back, you can go back first, and we will stay."

"Don't go back." Chu Long, who was more familiar with her, reached out and tapped her handwriting on the whiteboard, "The idea you just had here was quite inspiring. We may not be able to complete this conjecture, so you can stay and help. "

"You two are poisonous!" Qiu Lingshan frowned, "Should we stay here all night? Now run back and plead with the dormitory aunt, maybe there will be no punishment. If we wait until one or two o'clock in the middle of the night and then go back, the punishment will definitely not go away!"

Song He turned to gesture to the empty auditorium, "In such a big place, where can't you sleep?"

"The temperature is just right. Don't worry about catching a cold. Just find a clean table and lie down and fall asleep." Chu Long nodded in agreement.

"Sleeping in the auditorium?" Qiu Lingshan glared.

"Hurry up and make a decision! If you delay any longer, I'll run out of ideas!" Song He raised his pen impatiently.

Qiu Lingshan looked at the two people on the stage with crazy eyes. She stood frozen in place for a long time and sighed suddenly.

"I'm really convinced!" Qiu Lingshan ran onto the stage again, looking helpless as if she had been forced to go to hell.

Song He didn't delay, raised his pen and wrote hard, continuing to talk about his ideas.

"Starting from here is the cyclic group. Lagrange's theorem finds all generators..."

"Now that we know the number of p factors in the positive integer u, we can use Shiloh's theorem at this point..."

Complex calculations once again filled the second whiteboard. This time it was almost entirely done by Song He, while Chu Long and Qiu Lingshan were at the side to find mistakes in their ideas.

The three people lost track of time, their brains were running at high speed, and the silent auditorium was filled with the echoes of their conversations.

Twelve o'clock, half past twelve, one o'clock.

Half past one, two o'clock, half past two.

The proof process suddenly reached a dead end, and the steps were written to the end of the third whiteboard, stuck, and unable to move forward.

Song He's temples hurt suddenly, and he stood with his hands on the whiteboard frame. "I'm still very excited about my thoughts now, but my brain is really sleepy. I have to sleep for an hour before getting up to test."

Chu Long and Qiu Lingshan were already sitting on the ground, very sleepy, but their eyes were still bright.

After a long brainstorm, the three of them were all exhausted.

"I'll sleep too. I'll wake up after three hours of sleep." Chu Long stretched out his wrist and set the alarm on his watch.

"I also sleep for three hours." Qiu Lingshan nodded, "I still have a bag of coffee powder in my pocket. When we wake up and eat it later, it should be enough to last us until we can prove this hypothesis."

"Sleep, sleep!" Song He jumped off the stage, climbed to the table in the first row, and lay down on his back.