Scholar’s Advanced Technological System

There may be a distinction of academic value between mathematical and mathematical conjectures, but it is difficult to measure the difficulty of a conjecture with a definitive criterion.

After all, how can one measure the difficulty of something that has not been proven to be true at all?

That in itself is a pseudo-logic.

But it's not impossible to give a hierarchy between mathematical and mathematical assumptions.

Thousands of mathematical assumptions can be roughly divided into a few steps if we leave aside all non-academic factors, such as political significance, economic significance and news rendering, and talk only about the academic value of "to today's mathematical community”.

The first step is undoubtedly a millennium dilemma such as Lehman's guess, NP complete questions, Young Mills specification field presence and quality spacing assumptions, the so-called seven major mathematical dilemmas of the world, and some of the questions in Hilbert 23.

Once proven, these assumptions will not only contribute to the development of the mathematical community, but will also have far-reaching implications for other disciplines.

The second step, naturally the three most well-known mathematical challenges of the modern era, the Gotebach conjecture, the four-color problem, the Fermata Theorem. Two of them have been resolved, and the remaining Mr. Chen has already done "1 +2”. In addition, some of the questions in the Langlands programme and some of the questions in the Hilbert 23 question could be listed here as well.

The distinction between the third gradient, this level of conjecture, and the second gradient, is in fact not obvious and involves subjective opinions, and there may be considerable disagreement. Jacoby guesses can be counted in this column if you take it as a typical.

Proof of this hierarchy is not far from the Fields Awards, or at least a nomination… provided, of course, that you are under forty.

As for the fourth step, Zhou's guess can be counted in this column, and any sub-question of one, two, three steps, or a "weak guess” of a guess can also be plugged in.

The fifth step is more, and some unquestioned cold-door branches, the speculation put forward by an unknown mathematician, can be included in the fourth step of the speculation.

If this hierarchical approach is followed, Polyniac guesses can be counted in the third step, whereas twin count guesses are the “K = 1 special form” of Polyniac guesses, but considering that the academic value is higher than the "Study of Mason count distribution patterns (Zhou's guesses)," so it is between the third and fourth steps and infinitely closer to the third step side!

Whatever the end result, with this outstanding contribution, the 18-year Fields Prize nomination, the Ark must have been stable. And his biggest competitor, probably 13-year Ramanukin laureate Peter Schulz, is said to be challenging the famous weight-monodromy speculation that progress is unknown.

Of course, drilling for mathematical speculation is only part of theoretical mathematical research, not all of it. Many people have never proven any significant mathematical assumptions in their lives, but they have not prevented him from contributing to the mathematical community as a whole.

For example, Mr. Grotendik, who laid the foundations of modern algebraic geometry and radically changed the facade of the discipline through a general correspondence analysis, has contributed in such a way that no mathematical conjecture can be compared, I'm afraid. After all, many of today's learning assumptions are based on his “general theory”.

There is still a long way to go to climb the peak of mathematics.

Proof of twin count speculation is just a small step towards Everest.

The Ark is deeply aware that its own research results are but answers to some of Hilbert's questions in question 8.

Though his heart was excited and his heart was about to jump out of his chest, it did not swell above it.

The more you know about the world, the more things are in your head, the smaller you feel.

In fact, the ark is not very clear, what is the real feeling in its heart at this moment. But no matter what he thinks, one thing is for sure, his name is on fire in Princeton.

Everybody knows.

At yesterday's debriefing, a young man from Asia took out a world-class mathematical guess in front of all the debriefing audiences in the venue...

……

Shaking his faint head, he climbed out of bed.

Pushing the bathroom door open, sitting in the bathtub soaking a hot bath, changing into a new canoe, standing in front of the mirror and taking pictures.

Well, that's good.

Still as handsome as ever, unfortunately there is no meat.

Hey, this doesn't eat fat physique, it hurts my brain.

Enough mirroring, the ark went to the window and opened the curtains, which had not been opened for a long time.

He slept extra comfortably this night.

This is probably the most comfortable time he's slept in the last few days in North America.

However, looking at the sky outside the window, nothing seems to have changed.

If he doesn't feel that his mental state is good enough, he'll wonder if he's ever slept...

The face of the ark suddenly changed.

Wait, what time is it?

Look at the time on the phone, it's 3: 30!

I thought there was another closing ceremony waiting for me, and the ark ran out to the front door without saying anything and put on shoes and ran out the door.

I got off the elevator, crossed the lobby, and on the way, no one saw it except the waiter at the hotel.

I had a bad feeling in my heart that I ran to the canoe at the door and accidentally ran into a white dude looking down at his phone. Before he could explain it, throw in a "sorry," and he immediately asked, "What day is this of the academic conference? ”

The little brother said with dissatisfaction, "Day six, man, watch your step! ”

It's dangerous!

The ark relieved itself.

It seems that this closing ceremony has finally not been missed.

But think about it, even if he had a liver explosion for a few nights, he couldn't have slept for two days and two nights.

At this moment, the white man stared at the ark for half a day and suddenly came back to his senses, his eyes widened: “Wait, are you... a halo elbow? ”

Shit?

The ark almost sprayed his face.

MMP! You tried to halo me!

That's tough!

When I looked at the phone, I might have confirmed the photo from Twitter, and the little white man's eyes lit up, pulling the ark and not letting him go.

“Hey, listen, you got my thesis scrapped, guess what my thesis says? I skilfully searched for a Ramda function, proving that infinite multiple pairs of primes differ by less than 242, reducing the gap between 2 and 246 by another step! Yesterday, not only did you kill this golden hen, but you also made my research for two months soak up soup! ”

The Ark doesn't know what to say, it just looks at the Yankee like a psychopath and is ready to wave to the security guard next door.

But the good news is that this little brother didn't make any drastic moves, he just pulled a beep.

“... damn, but well done! I'm guessing it's the same way of proving it, using topology… I just didn't think screening would work that way. Meet me. I'm Callister. Want to have a drink tonight? For your sake, you owe me this drink anyway. Hey, hey, hey! ”

Neither did the Ark head return, and he ran off decisively.

……

In the auditorium, heads are stored.

The closing ceremony is about to begin, but it feels like there aren't as many people left at the beginning.

Ark remembers hearing Brother Luo say that a lot of people attending academic meetings will not stay honest until the end, a lot of people finish their own reports, hear the lectures they want to hear, or talk about the like-minded object, and go out to the world waves.

The Ark looked around and did not find Brother Luo, but saw an unexpected man, the Indian brother named Dijean.

Surprisingly, this thing hasn't left yet?

Is it so resistant?

Noting the sight of the ark, the Indian little brother did not say anything, but responded to a resentful curry-style white eye and looked away from him.

The Ark made a helpless expression.

If he quoted unpublished research, he would feel a little guilty, but this one... this pot can't reach his head.

Closing ceremony begins.

Quiet down the hall quickly.

After a while, a seemingly unreliable old man walked slowly to the stage with a black crutch.

Francis, the current President of the Federal Mathematical Institute, is also a member of the International Union of Mathematicians.

The reason he doesn't look very reliable is because his slow swallowing moves are always worrying about him falling asleep suddenly while talking or falling on the steps.

“Introduce yourself, Francis, there's nothing else to introduce… Besides, the boys should be impatient, so let's just get started.” The old man smiled kindly and said.

The people downstairs laughed in good faith and applauded with encouragement.

The old man pushed his glasses, turned the speech over a page and read it in pieces.

“First of all, I would like to thank you all very much for participating in this mathematics exchange and for the sponsorship of companies like Parker, Amazon Group, etc. No matter how noble the cause, we cannot move forward without the help of good people...”

“… in the face of a great cause, we all do the same thing, regardless of nobility or inferiority, even if your conclusions are temporarily incorrect, even if you are vehemently refuted, which does not mean that you are not good enough. On the contrary, you stand here, more courageous and talented than 99 percent of the world's people. Hope to see you boys and girls again this time next year... and of course a bad old man like me, always welcome. ”

“There is also a party at night...”

“By the way, I almost forgot the most important thing.” The old man pushed his glasses, smiled with a slight apology, cleared his voice and continued, "The best young reporter for this academic exchange conference will receive a $10,000 prize sponsored by the Amazon Group and a certificate from the Federal Mathematical Institute… the winner is the Ark. Doesn't seem suspicious? I thought about it and stopped selling it. ”

The crutches stamped the stamped floors, and Mr. Francis raised his mind and smiled at everyone who was waiting for him downstairs.

“Well, have fun! ”

“Besides, the champion belongs to the Philadelphia Eagle!” (Super Bowl)

The young man under the stage whistled.

In a thunderous atmosphere of applause and relaxation, the colloquium came to a close.