Chapter 308: This is a sub-question! (Two/three)

"professor!"
"Your explanation is very wonderful, every process is very careful, and there is no sloppiness." Xu Mang said seriously: "I just came up with a question, this question requires a very solid mathematical foundation and strong logical thinking. Ability, I hope you and the members of the representative team will try to solve this problem."
"Ok?"
"Let me see." The professor asked curiously.
Words fall,
Xu Mang handed the paper to the professor.
After a while,
The professor who had a relaxed look at first seemed a little serious at this time.
"Cough!"
"When did you come up with the topic?" the professor asked with a serious face.
"just..."
"I came up with a question casually. This question requires a little logical thinking ability..." Xu Mang said with a smile: "It's useless to have a solid mathematical foundation. If you don't have strong mathematical thinking, this question is somewhat Inexplicable."
"..."
"Is this question you just came up with?" The professor was stunned for a moment: "I came up with it casually?"
"Yes indeed!"
"Professor... do you think this question is suitable for the contestants?" Xu Mang asked.
The professor nodded and said silently: "Very suitable!"
"such..."
"I'll explain it first," the professor said: "Then let the participating students explain, what do you think?"
"Oh."
Words fall,
Xu Mang sat back in the last row.
Looking at this young figure, the professor was a little curious. If all this is true and he didn't lie, then his mathematical talent will be extraordinary. Why didn't he participate in the competition?
It's not reasonable!
Nothing more,
Ask later.
The professor started to solve Xu Mang's problem, but soon he discovered the problem. Although it was an algebraic problem, he couldn't find the breakthrough.
after that,
The professor tried a complicated solution, and finally spent seventeen minutes, and then reversed the answer according to the answer, and got a relatively simple process, and at this time it was time for get out of class to end at noon.
Seeing Xu Mang planning to leave, the professor hurriedly stopped him.
"Classmates!"
"Wait a minute!" The professor shouted to Xu Mang, "Are you coming back this afternoon?"
"Uh..."
"Come on!" Xu Mang nodded and said with a smile: "Professor untied?"
"Untied."
"But I want to know what your answer is, let's talk about it this afternoon," the professor said.
"Oh."
...
noon,
Xu Mang and Yang Xiaoman ate in the school cafeteria. The five of them were curious about the conversation between Xu Mang and the professor. However, no matter how they asked, Xu Mang remained smiling and did not talk to anyone about the conversation with the professor. Including Yang Xiaoman.
In this regard,
Yang Xiaoman was very unhappy, a little bit emotional.
Mainly it's a bit embarrassing... it's her boyfriend, but she keeps her secret... still in front of so many people.
At the nearby Starbucks,
Yang Xiaoman ordered a cup of hot fruit tea and sat in the chair without saying a word, with the three characters'unhappy' written all over his face.
Yang Xiaoman: (#￣～￣#)
"..."
"Why?" Xu Mang was playing with his mobile phone, looking up at this scene, and asked strangely: "Who bullied you? Tell me... beat him into a pig!"
Yang Xiaoman glanced at it and said angrily: "Then you can smoke yourself."
"..."
"So it was me?" Xu Mang suddenly realized, and said helplessly: "I am quite honest today..."
"Humph!"
"You keep me from getting off the stage in front of others." Yang Xiaoman said angrily.
Xu Mang frowned and counted as days... Today seems to be the day when Xiaoman came to relatives, I can't afford it... Last time I suffered a lot.
Faced with a woman who comes to relatives, the best solution is not to speak, and to endure her little emotions silently, because at this time, no matter what you do is wrong, there is no way...every month there will always be so many Heaven is irritable.
With a crackling complaint, Xiaoman was emotionally released.
"Little Man?"
"Uh?"
"Did you... come to relatives?" Xu Mang asked cautiously.
"..."
"It seems to have come in the middle of the night yesterday, but it scared me to death in the morning." Yang Xiaoman suddenly asked with a mysterious face: "How can you tell me so clearly about my life? Are there any bad attempts?"
"No!"
"Haha...Drink tea and tea."
quickly,
It's afternoon time.
Xu Mangchong was at the forefront and happily came to the training classroom and found that the professor was already there.
"Hello Professor."
"Here?" Seeing Xu Mang's arrival, the professor nodded and said, "You can take a look at my problem-solving process, right?"
"Oh..."
Xu Mang picked up the professor's problem-solving process and looked at it carefully. There was basically no mistake, and then he said seriously: "Professor... you are indeed a great figure in the field of mathematics. You are completely correct and there is no mistake."
"At first I couldn't solve it, then I went around in a big circle, and finally pushed back and got the simplest process." The professor looked at Xu Mang and said seriously: "Your ability to write questions made me admire!"
"Haha..." Xu Mang smiled, "I'm just a student."
"What's your name..."
When the professor was halfway through, Yang Xiaoman came to the classroom, and the professor did not continue to speak, but silently said: "First let the contestants do the problem, and then you will help them analyze the process and solve the problem."
"Oh."
Xu Mang returned to his last row and lay directly on the table.
"Cough!"
"Next, I will give you an hour to solve a math problem!"
Words fall,
The professor wrote this topic on the blackboard.
Use Z to express the set of all integers, find all functions f: Z→Z, satisfying that for any integer a and b, there is f(2a)+2f(b)=f(f(a+b))
at this time,
Everyone present was confused, including Yang Xiaoman.
This...
What function is this?
after that,
The five contestants started their own problem-solving process, but the process was very difficult because it was impossible to determine the form of the function.
Because they couldn't find the beginning, the five people almost fell into a predicament that they couldn't move forward at the same time. Now they don't even know what this function is.
Who gave this topic?
kill him!
and many more,
In the morning... there seems to be a guy walking very close to the professor, right?
at this time,
Everyone thinks of one person, he is Xu Mang.
Xu Mang didn’t write this question, right?
The more I think about it, the more I think it is possible, otherwise Xu Mang will not discuss with the professor for a long time, so angry...what the is he doing!
wrong!
Since Xu Mang came up with this topic... Isn't it that his mathematical ability is already...
Thought of this,
Except for Yang Xiaoman, the other four took a breath. Xu Mang is hiding so deeply. I am afraid that he is the real main player, right? Since it's so powerful, why wasn't it selected into the team?
Not scientific!
Very unscientific!
for a long time,
Five minutes passed,
The five people are still in a daze. They tried countless functional forms, but they still didn't get any hope.
Ten minutes passed,
The five people still have nothing to gain, facing this function that has never been known, they begin to despair.
fifteen minutes,
Yang Xiaoman seemed to get some inspiration. She began to write hard and make new attempts.
Forty-five minutes later,
The four of them were inspired and started writing hard, and Yang Xiaoman just solved the problem, but the process was very complicated, and it took three blank papers to solve the problem.
finally,
When the allotted time was over, the five people handed in their answers to the professor.
Under the correction,
The professor found that only two people were correct, and Yang Xiaoman was the only one who was the closest to the reasonable process, but only the closest, and did not fully meet its requirements.
gap!
This is the gap!
at this time,
The professor called Xu Mang out of the corridor. He wanted to find out who this student from Fu University was and why he didn't participate in the competition.
"Classmates?"
"You...what's your name?" the professor asked.
"I?"
"Xu Mang, a student of Physics Department of Fuda." Xu Mang said with a smile.
"..."
"You are Xu Mang?!" The professor was stunned for a moment, and laughed loudly: "I should have guessed that it was you a long time ago, this is my mistake."
Words fall,
The professor suddenly scowled and stared at Xu Mang and said, "Why don't you participate in the competition? If you are there, our ranking can be raised. It is not a problem to be the first place, is it shrinking?"
"No."
"It was the competition that banned me." Xu Mang sighed and said silently: "They said that I did not meet the requirements and could not participate in the competition. Once I participated, the competition would become unsustainable, so they directly suspended me. .."
Hear this,
The professor patted Xu Mang on the shoulder, and said helplessly: "Starting to play the so-called restriction trick again."
at the same time,
Yang Xiaoman is being bombarded by his teammates.
"Xiao Man, why is Xu Mang so strong?"
"Yes... why didn't he participate in the competition?"
"Are you timid?"
"How high is Xu Mang's mathematical talent?"
Facing the tide of questions, Yang Xiaoman didn't know how to answer for a while, and could only smile bitterly: "This guy is just a... a clever fool."
In Yang Xiaoman’s eyes, Xu Mang is an idiot, too stupid to describe in words, because when we first met, the image of the idiot was deeply imprinted in Yang Xiaoman’s heart, and he could not disperse it for a lifetime. .
And smart... Needless to say.
"..."
"..."
"..."
This answer obviously does not meet the requirements of the four people, because this answer is full of love and a bit of suspicion of spreading dog food.
At this time,
The professor and Xu Mang walked in. The two stood in front of the podium. The professor said: "It is estimated that everyone has guessed it. The question that puzzled all of you was given by this classmate. Big, called Xu Mang, you should have heard of it."
"I have made extraordinary achievements in the field of physics, two academic papers in SCI area one." The professor said: "But don't forget that Xu Mang's mathematical talent is the same as his physics."
"Xu Mang?"
"Explain to them the idea of ​​solving this problem, and by the way, I also attend class." The professor smiled at Xu Mang~EbookFREE.me~ and then walked to the stage.
Yang Xiaoman was about to say, Professor...you will regret it, but the professor walked directly to the stage without the slightest melancholy.
Seeing Xu Mang with a grin on the stage, Yang Xiaoman's head is bigger...Don't make your teammates autistic, this can't hurt!
"classmates!"
"This question is very basic and there is no difficulty at all." Xu Mang said with a smile, "This is a sub-question!"
As soon as the voice fell,
The four students present were very angry, and they planned to lift the knife.
at this time,
Yang Xiaoman: (°ー°〃)
Finished,
He is about to start!
......