After Rebirth, I Am the White Moonlight of All Big Brothers
Chapter 402: Four shifts
Chapter 402 Four more
Due to the limited space on the whiteboard, the final steps presented are as concise as possible, so the thinking process is ignored.
But those who study Mathematical Olympiad know that the steps to solve problems are only external presentations, what really matters is thinking ability.
Talking about recognition, I also want to hear how she broke the problem, how to start, and how she thought of nesting lemmas to prove the conclusion.
Jiang Fuyue: "Do you want to listen?"
"want--"
"good."
Tan Appreciation returned to his seat, looked up at the podium, and for the first time looked squarely at Jiang Fuyue.
Zou Hao was amazed.
Although it is praised to play with them and have a good relationship with them, there is always a sense of arrogance in the bones of genius.
He didn't show up deliberately, but Zou Hao felt it.
Now, looking at Jiang Fuyue with this look...
can only show that only the genius among the geniuses can be subdued.
At this time, Jiang Fuyue had already picked up the pen and stood in front of the whiteboard——
"Seeing this question, the first reaction of many people is to try to find the relationship between the vertices and the edges."
A large part of the students below emphasized their heads.
That's what they think.
"We know a connected graph, suppose it has V vertices, if there are only V-1 edges, it is impossible to have a cycle, otherwise this graph is not a connected graph."
"However, when we have V edges, a circle will definitely appear. On this basis, every time we add an edge, a new circle will be created. Assuming that we have V+1 edges, the graph There is only one cycle in, then when we remove an edge from this cycle, there will be no more cycles in this graph, but there are still V vertices in the graph, so there must be a cycle. So our hypothesis does not hold. There are at least two circles in..."
Talk to applaud your focus.
Zou Hao originally didn't want to hear it, but the girl's voice was sullen and cold, like a mountain spring in the deep stream, ding-dong.
He was attracted unconsciously.
Jiang Fuyue: "... Here we need to introduce a new definition, called margin, that is, the number of edges E minus (V-1), which is equal to E-V+1, which is used to describe the excess vertices in a graph. The amount, and this amount roughly determines the number of circles in our picture."
Talk about the recognition shines.
Yes, this is the step!
He was thinking about how to bypass this proof point, but Jiang Fuyue directly introduced a new definition.
He avoids the risk, but she faces the challenge.
This is the difference between the thinking process of the two, which ultimately leads to the difference between success and failure.
So, he lost, not without reason.
Standing on the podium, Jiang Fuyue had a slim figure and outstanding temperament. But at this moment, almost everyone subconsciously ignored her outside. What she saw was her luminous wisdom, strong logic, rigorous attitude, and her attitude towards Respect and piety of knowledge.
"...Think further, in fact, when there are more and more edges in the picture, there will be more and more circles, and these circles will cross each other, and the circumference of the circles will become smaller and smaller. Back to the topic itself, A description of'limited counterexamples' is used. If we want to solve this problem head-on, the only way seems to be to constructively find these two circles in any picture..."
It turns out that someone’s soul will shine.
is so brilliant that people can't move their eyes.
Ling Xuan stood next to him, tilting his head slightly, and this angle just made it possible for the students below to not see the fascination in his eyes at the moment.
He beats his heart again and again, the feeling so strong that he was about to break through his chest made him both panicked and excited.
He knew that some things could not be restrained.
For example, like it.
But he didn’t even have the courage to speak.
Jiang Fuyue is too dazzling.
He once thought he could gather enough light, but now he realizes that Jiang Fuyue itself is a light source.
Her excellence made him retreat, and her sparkle eclipsed everyone, including herself.
Wanting but not dare, that kind of unattainable entanglement turned into torture.
Ling Xuan looked down fiercely, be patient, he warned himself.
At this moment, through the half-covered back door of the classroom, a person is also staring at the radiant **** the podium.
Jiang Fuyue: "...but the title tells us that there are a limited number of counterexamples in this situation, which almost tells us that this way is nowhere. Then we might as well change the angle: prove the lemma, and use this lemma to induce contradictions. To realize the disproval..."
Clear Ling’s voice reveals absolute rationality, supported by strong logic.
The man watched and listened, his eyes slowly drenched with laughter.
"Professor Xie?" Zhao Tiejun whispered.
Xie Dingyuan suddenly returned to his senses, but did not look back.
Zhao Tiejun took the opportunity to go, and then smiled: "This is the Mathematical Olympiad class. This is about to participate in the national league, right? It is training camp."
Xie Dingyuan Qing ah.
Director Zhao saw that he was very interested and couldn’t help talking about her sexuality: “The girl speaking on the podium is the first in the third year of high school, and is also the gold medal and special prize winner of this IPhO and IOI. Both subjects are full marks, B and Q. Big good seed..."
Speaking of this, Zhao Tiejun suddenly felt proud, and even his chest stood up.
"Really?" Xie Dingyuan answered the words indifferently, giving him a chance to continue.
Sure enough, Zhao Tiejun began to talk endlessly——
"This child is very good, and none of the teachers in all subjects does not praise her for being smart."
Xie Dingyuan: Well, my brain is indeed more flexible, no matter how you study, it’s still awkward.
"I get along well with the classmates. I will talk to everyone when I have time and sort out the key points. Everyone calls her a month old sister."
Xie Dingyuan: Sister? Obviously still a little girl.
"Sports performance is also outstanding, I have practiced high jump and shot put, and often play basketball with my classmates after class."
Xie Dingyuan: Classmate? Male or female?
"Some time ago, I published a paper on the main page of the PRL journal. What's the title...Uh! I forgot, it's related to bacterial movement anyway."
Needless to say, Xie Dingyuan also knows.
He may be the first to see the prototype of the paper, right?
"In short, Jiang Fuyue has developed comprehensive moral, intellectual, physical, and beautiful students. He is a particularly outstanding student, the light of one Chinese!"
Xie Dingyuan could not help but nodded, his eyes flashed with a smile, but he heard that it was already mentioned in it--
"...So, this lemma is as follows: For any positive real number a, natural number N, prove that for the proposition has N vertices, (1+a)N edges of the graph have cycles less than aN, and there are only finite counterexamples... …"
Hearing and listening to sounds can make him feel comfortable.
"I want to say the only bad thing," Director Zhao sighed, "It's just a bit stubborn and a bigger idea."
"Oh?" Xie Dingyuan raised his eyebrows.
"Some time ago, B and Q’s recommendation notices were sent to the school, saying that it was a major for her to choose at will. Unexpectedly, the child refused and refused, leaving no room for transfer, and the parents also followed her to fool around..."
Zhao Tiejun looked sorry.
That is B big and Q big!
I heard that Xu Jing, Meng Zhijian, and Yu Wenzhou were running frantically in the office that day, sighing and cursing.
And what about Jiang Fuyue?
Stunned to go her own way, no one was able to persuade her to come back.
Xie Dingyuan heard it for the first time: "Why did she refuse?"
Zhao Tiejun: "It seems that you are planning to take the college entrance examination?"
Speaking of this, he is a little proud.
Do students from other schools have the courage to reject B and Q?
No!
But there is one of them!
More than one!
Ling Xuan also refused, good fellow, can you still get together?
This year is truly amazing!
Xie Dingyuan withdrew his gaze, and took advantage of the trend to close the light smile on his lower lip: "Let's go, Director Zhao."
"Oh, yes, classmate Zhong's legs are almost raised, right?"
"Um."
"That's good, that's good. Actually, you don't need to go there in person, just make a phone call, or ask Zhong to bring a handwritten leave slip signed by your parents on the day you return to school..."
is better than coming in person?
In fact, Zhao Tiejun didn’t know why this big Buddha suddenly came.
When the school sent him to pick him up, he was stunned.
Xie Dingyuan stepped forward, and the voice of the girl behind him became smaller and smaller——
"Assuming that a graph has N vertices, at least (1+a)N edges, and the lengths of all cycles in the graph are different, we need to construct a contradiction when N is large enough to prove that this hypothesis is not true. Then we You can do this to find the shortest circle in the picture..."
Xu Jing came back from a teaching seminar, and suddenly found that the atmosphere in the class was quite harmonious.
He asked the reason, who knew that each of these students was more strict than the other.
"?" Curiosity is haunting, scratching my heart and lungs.
But he didn't struggle for too long, harmony is a good thing.
This friendly atmosphere lasted until the end of the two-week semi-closed training camp.
Soon, the National Olympiad League is coming...
There is no reason, I just want to come and see my wife.
Zhong Ziang: Take me as a guise and want a face?
(End of this chapter)
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