Chapter 190: Mentor

How powerful is Professor Feng?
What kind of conjecture did he prove, what theoretical foundation was laid, what achievements were finally achieved, and how was it evaluated?
I hope to know about Lin Xixi.
In the days that followed, Lin Chaoxi still kept classes during the day, training in the evening, writing programs in Chen Zhujia at night, and supervising the work of Laolin in the middle of the night.
When she is free, she will start to search for the nouns she has never heard before according to his personal academic achievements in Baidu Encyclopedia of Feng Deming.
The metric space structure, scale theory and fractal geometry of a certain manifold... These nouns are followed by many difficult papers, which are exactly like the contents of another space.
And the development of related academic forums seven years ago is far less than that of later. In many cases, she can't find any theory and certain conjectures. It can only understand what they are under.
So she didn't take these things as serious work, but when she was tired, she would start to look at the casual nature, more like a gossip, a kind of academic gossip.
Professor Feng has achieved great success and is highly respected. The students are sincerely respected by him at academic conferences or at the Yongchuan University Forum.
Reputation is like a huge wave, sometimes it is breathless. It seems that even if she brings all the unfinished contents of Lao Lin back to reality, it is like the fire of the fire and the moon.
Lin can only comfort himself, it doesn't matter, Lao Lin's goal is never him.
During this long period of time, I will accompany her occasionally in the evening. After three weeks, Lin confirmed that this "occassion" specifically refers to Wednesday night and Saturday.
On Wednesday, they went to Chen Zhujia to go online, and they would use a computer for a while. At ten o'clock in the evening, they would send her home and then leave alone.
On Saturday, it was Laolin’s tutoring class. In the morning of the morning, Lin’s evening classes were given to elementary school students, and they began to learn a little bit about the graph theory.
In such a day when it seems that it is plain, but the forest is getting more and more anxious, Lao Lin’s proof work has made real progress.
Although, the so-called progress refers to Lin Xixi finally waited for Laolin to make a mistake in the draft.
It was on a Saturday in the early autumn, when she stood in front of the podium, and as usual, she quietly showed Lao Lin a few dozen pages of drafts, full of v(g) and v(h) and mathematical symbols.
On the blackboard is the seven-bridge model she just painted. The content that was made by Euler hundreds of years ago is now fully identifiable to the primary school students.
"In fact, the way Mr. Euler made the proof was very simple. He turned the island into a vertex and represented the bridge connecting the land as a line. Then the map I painted would become a simpler pattern."
Lin Zhaoxi painted a shape similar to a cone.
"It seems to be much simpler."
"But it is really impossible to go down once?"
The children’s questioning sounds again.
Inspired here is almost the same, Lin Chaoxi said: "You can give it a try?"
"How to try it?"

Draw a picture, start from the starting point, pass each bridge, and then return to the starting line to see if you can find that road~
Chalk is swiping at the apex and line.
"Or use mathematical methods to prove that this is impossible." The very ambitious boy interjected.
Lin nodded.
Her voice has not fallen, and many students began to talk about themselves. Some people decided to try one by one. Some people wanted to find a simple, mathematical method. Lin did not say anything.
She went on for two laps, answered a few questions, and was rushed back to her position by the children.
She can only take out the draft that has just been "stolen" and watch it casually.
The autumn wind blew, and the leaves outside the window fell, crisp and golden.
Lin Yixi paged through the draft that had been seen in the morning. She always felt that the problem that Laolin had made mistakes should be in it, it was very close, but it was not found.
During this period, because there was a group of students who decided to divide the number of cooperation and clearly know how many kinds of moves, how to work on a small-scale quarrel, Lin rushed to give them an idea.
Just sitting down and picking up the pen, the little boy who heard the "biliary fat" shouted: "How to prove that Euler is wrong?"
She pulled her gaze from the draft in front of her and looked at the boy.
"How can Euler be wrong!" Another person retorted.
"I think there must be a one-time possibility!"
"Then you can look for it. If you find the one that doesn't go back, you will find a counterexample. If you find a counterexample, you can prove that Euler is wrong." Another very well-organized little girl said.
The classroom was filled with these sounds, and the noisy ones made people feel extraordinarily quiet. Lin did not stop their arguments.
She turned over a page and saw a few lines of proof.
The memories in my mind and the manuscript paper in front of my eyes gradually overlap, and the voices of the children in the ear calm down.
- Found a counterexample.
right here.

I couldn't wait for the class at all. Lin Zhaoxi couldn't help but feel the excitement in her heart, and directly pulled up the manuscript paper and rushed to the Laolin office.
She pushed the door open and took the paper on the table. She still had a red pen that had just been corrected for the children. The pen tip was down, and several of them proved to be completely circled. Then she pushed it to the old forest and said, " There is a problem here!"
Lin Chaoxi’s heartbeat was very fast. She stared at her father’s brief horror, and then stepped back half a step:
I’m going back to class!

She is very aware of how exaggerated her move was, and now she wants to escape. But before she got to the door, she was stopped.
"Wait." Old Lin paused. "Turn back, come over, sit down."
Lin Chaoxi glared at the door, desperate, but had to turn slowly.
Lao Lin, including the shackles in the office, did not care for her at all, and their expressions were very consistent. After a brief horror, they showed a thoughtful expression and carefully looked at the contents of her circle.
Lin Daixi was sitting next to him, and the atmosphere did not dare to come out.
At that time, Lao Lin realized that he had proved wrong because of the hypothesis that he had directly identified s as a subset after proving that the mapping induced an automorphism to be g(p).
She forcibly remembered the key symbols such as c→c, aibj→b, etc., but did not fully understand why this hypothesis had problems. And because the proofs that were repeated were filled with these symbols and did not recognize this, until the children said "counter-examples."
Yes, the essence is still a counterexample. When mathematicians try to prove that a proposition is in difficulty, they will start looking for counterexamples to prove that they are not true. But they are easy to forget about in their daily work.
The camphor tree outside the old forest office will not be yellowed, and the autumn is still green. Lin took a deep breath and heard him say, "You are right, it is wrong here."
His expression is inevitably with loss, regret, and some dignified, but relieved. Admitting mistakes means that the wall has appeared. All his previous efforts have been lost, and all assumptions must be completely overturned. This is extremely cruel to anyone who has worked hard for a long time.
Lin Chaoxi licked his lips, and for a time did not know how to let Laolin regain his confidence, and then found the new algorithm on this basis.
"How did you find out?" Lao Lin interrupted her thinking.
"Ah? Just now the child suddenly shouted a "counter-example", I was thinking, if you assume this, do you not consider the empty set?
She sighed for a reason, the actual problem is not so simple, it is impossible for her to be discovered by a high school student, and it is impossible to fight with the empty scorpion. But she still observes Lao Lin, hoping that her sudden reasons can be mixed.
"It's a bit sloppy." Lao Lin concluded.
"!!!" Lin dynasty suddenly guilty, she forcibly argued, "Really."
"You should say: The of mathematics suddenly took care of me." Lao Lin slowly opened his mouth.

The of mathematics suddenly took care of me?

"Yeah." Lao Lin looked relaxed and dull, with a smile on her block, "I suddenly looked at me."