Massachusetts Institute of Technology, Library!

Gao Fei looked at Ye Feixin's newly released paper.

"Condition (H4) is equivalent to b(0)∉N={1,2,3,...} and it will be seen that condition (H4) is the only necessary condition for the existence of a formal power series solution......"

"Power series solution, power series solution ......" Gao Fei muttered to himself, his eyes getting brighter and brighter.

"Yes!" He suddenly clenched his fists excitedly, waved his fists and said, "That's it." ”

The people around him were disturbed by him to read and looked at him irritably.

Goofy found that he was talking loudly and disturbing others to read, so he shrunk his neck.

He said excitedly in his heart: "I found a way, so I will solve it." ”

"Ye Fei is really my lucky star, two months are about to expire, I have found a solution, Ye Zifei is lost."

"I don't believe he can find a solution from Ye Fei's paper."

Goofy is full of blind confidence in himself, and this is because he has never lost in his studies since he was a child.

Long-term victory brings great self-confidence.

Ten days later!

Ye Fei glanced at the system, and the progress of the task of exploring the strange cardinality problem reached 95%.

When he published his paper on the Singular Cardinal Foundation, he was 40% progressive.

By the time the first solution is published, the task is 50% complete.

The second solution is 60%, the third solution is 70%, and the fourth solution is 90%

After that, another week of study, and the task progress reaches 95%

"There's only 5 percent left." Ye Fei exhaled lightly and said distressedly: "But how to solve it next?" ”

The road of scientific research, the more upward it is, the more difficult it becomes.

After three days of hard work, the 5% Ye Fei did not make the slightest progress.

It's like a moat, blocking his study of the singular cardinality.

"When the time is up, ask Gao Feixiang, he has found it."

Ye Fei sent a message to Gao Fei through Stack Exchange: "Gao Fei, do you think of the proof of the singular cardinality?" ”

Goofy sold a pass and asked, "What about you?" ”

"I didn't expect it yet."

Gao Fei was very excited when he saw Ye Fei's answer, and sure enough, as he expected, he didn't find proof of the strange cardinality.

Goofy replied, "I've found ideas in a class of function spaces. ”

"Not a proof method?" Ye Fei asked.

"What do you want?" Gao Fei pursed his lips and continued to reply: "The problem that has not been solved in 149 years of the strange base, you still want to solve it in two months!" ”

Ye Fei shook his head regretfully after seeing it, he also has his own ideas, but now what he wants is a proof method.

Ye Fei said: "Then you talk about your thinking." ”

“OK！” Goofy replied: "My idea was found in the Tribelle-Lidrokin space in a class of function spaces, the Fourier multiplier theorem on the weighted Maury Bisol space and the Tribbel-Lidrokin space. ”

"The boundedness of a class of pseudo-differential operators with non-regular symbols can be found."

"And then get the real Euclidean space and Schwartz space ......"

Ye Fei looked at Gao Fei's explanation, and when he saw that Gao Fei said that the low-frequency part was considered by the previous lemma, and he only needed to focus on the high-frequency part.

Suddenly, his mind seemed to explode in a small universe, and a flash of inspiration flashed in his mind.

"Yes, that's right, from low frequency to high frequency, and then use space to find differential operators."

Ye Fei connected the five papers on singular cardinality written during this time with the ideas he had just thought of to form a complete singular cardinal proof method.

The first paper is the Singular Cardinal Basis and the Four Singular Cardinal Solutions, all of which lead him to the door of the singular cardinality.

And now there is still a key missing, and now he has found this key, which is to use space to find the differential operator.

"So, my method and his method prove that the singular cardinality is both correct."

"My method is to take the road and get me to the Gate of the Strange Cardinal Cardinal, and his method is to make the key and open the door."

"So we can't say who loses and who wins?"

Ye Fei smiled again in his heart: "But without me, I wouldn't be able to walk in front of this door!" ”

"Of course, I can't open this door without his key."

"And his current train of thought can't make the key, so I made it with his help in my own way."

Ye Fei glanced at the system, and the task progress was 100%.

He was pleasantly surprised: "Sure enough, my thinking is right." ”

Gao Fei said: "I'm done, how about it, now I'm convinced!" ”

Ye Fei said: "Convincing, of course convincing." ”

He complained in his heart: "Looking at this person's ability, he has been in the mathematical world for a long time, he should be in his thirties, and how can he talk about the same as a twenty-year-old girl." ”

Gao Fei said: "Then use my method to explore the strange cardinality!" ”

"Okay, no problem." Ye Fei said: "But you explore first, I have to wait for half a month, some things have been very busy recently, and we will continue after half a month." ”

He was going to write a paper that proved the singular cardinality, but he couldn't tell anyone about it.

When it is written, it hangs on Arxiv, and it is useless for others to know about it.

Does this count as plagiarism?

Not counting, there are a lot of papers on Arxiv.

If you have a small number of other people's papers in your paper, you can cite them at most.

In addition, if the paper is sent to the journal, the journal will also review the repetition rate.

If the repetition rate is high, the first review will not be enough.

Gao Fei pursed his lips, a little unhappy, and said that he would explore the strange cardinal number together, how could this person be like this!

But he also knows that people always have three urgency, maybe the other party is really busy, and it is not easy for him to stop him.

He replied, "Okay, then you hurry." ”

“OK！” Ye Fei replied.

End the conversation with Goofy and exit Stack Exchange.

Gao Fei looked at the black and white leaf Feifei's avatar, and suddenly said: "By the way, I haven't asked him who he is, forget it, next time!" ”

He remembered the task given to him by his mentor.

Ye Fei quickly opened Word, recorded the ideas that came to mind, and then began to plan the outline.

This paper is to prove the singular cardinality.

It's very important, so he has to plan it well.

【Algorithm Proving Singular Cardinality of Non-Regular Graph Isomorphism】

On September 1st, the university will begin!

Many new and former students, undergraduates, master's students, and doctoral students, are beginning to enroll.

When they entered the school gate, they all saw a banner above the school gate.

[Congratulations to Ye Fei, a graduate student of the School of Mathematics of our university, for entering SCI Zone 1 for his five papers]

When many people saw this banner, they felt blinded and their hearts were full of envy.

After many parents saw it, they pointed their fingers and said to their children that they should take this person named Ye Fei as an example.

Even if some parents are not educated and don't know what SCI is.

But your own children always know it, and ask them what SCI is.

After some science popularization by their own children, they know what it means to enter SCI.

Many university professors saw this banner with envy and jealousy.

Why doesn't their academy have a genius like Ye Fei!

Before they even came to school, they heard that there was a genius in the School of Mathematics.

In just one holiday, five papers entered SCI Zone 1.

It's all about set theory, and one of them is very important, and it's the basis for proving the singular cardinality.

It's as if a vacation has passed, and the whole world has changed.

Zhuang Nan walked with a group of people, he turned his back to the door, and said excitedly: "I told you, my roommate Ye is very good, he has released five papers, all of which have entered the first area of SCI." ”

Zhuang Nan is worthy of being a little expert in intelligence, and since he knew that Ye Fei's paper entered the first area of SCI, he has been paying attention to Ye Fei's paper.

He read all the papers published by Ye Fei on Arxiv, and he also went to Stack Exchange to cheer Ye Fei on.

Of course, he also accidentally leaked some of Ye Fei's information.

For example, Ye Fei's age, Ye Fei is his roommate, and Ye Fei has a good relationship with him......

A person next to him pointed to the banner on the gate and said, "Zhuang Nan, we all know about Ye Fei, you see." ”

Zhuang Nan turned to look, dumbfounded, and then said, "The school is too licky!" ”

Zhou Lin said: "If you can complete five SCI Zone 1 papers in a short period of time, the school will also lick it like this." ”

Zhuang Nan said dejectedly: "Forget it, I can't do it." ”

On this day, Ye Fei became famous at Zhonghu University.

New students, old students, lecturers, professors, deans, presidents.

As we all know, Ye Fei, School of Mathematics, Zhonghu University, has five papers in SCI Zone 1.

This is a dazzling record, and it is difficult for ordinary people to enter the SCI zone 1 with one paper, let alone five.