Font
Large
Medium
Small
Night
Prev Index    Favorite Next

Chapter 185 Has the hail conjecture been proven?

Foreign academic conferences are very different from domestic academic conferences, especially in the poster exchange session. There are no specific rules and regulations here. A partition made of three wooden boards plus a poster can be regarded as a small stage.

It's like setting up a stall, except that what is traded here is not goods, but knowledge.

Everyone here has the right to express their own opinions without worrying about their own identity and status. It is in this collision of ideas that the academic soul is sublimated. The person setting up a stall in the hall may be a highly respected professor.

, or maybe a night student from an adult university next door.

Of course, if you can apply for a booth to post your own academic posters, you must have the most basic strength. Your opinion may not be absolutely correct, but it must at least be worthy of discussion, otherwise you will be asking for trouble by coming here.

In addition to exchanging academic issues with stall owners, different people have different ways of participating in academic conferences. The big guys rush to show off their research results; the elementary school students can also look for opportunities here for the purpose of learning.

It's great to be able to communicate with good results, but if you don't have very dazzling results, you can still participate boldly.

Liu Yichen stood on the edge of the crowd. He knew that none of these seemingly simple-dressed people were simple. They might be top students in a prestigious school, or they might be mathematics lecturers, associate professors, or professors in a prestigious school!

At this time, naturally there are many groups together, everyone plays their own thing, Liu Yichen has an invitation letter and can move freely.

The first thing he did when he entered the venue was to sweep around the stalls distributing small gifts at the entrance.

Pens, notepads, and even leaders in suits filled the paper bags. The generous Parker company even produced a set of commemorative pens specifically for this academic conference. Such a pen can be used for any purpose.

Selling for thousands of dollars.

It's a pity that one person can only receive one pen, and no more will be enough. Otherwise, he would like to get 180 pens, which would be perfect as gifts for others in the future.

Looking at the list in his hand, which recorded the theme, location, and time of each report meeting, with half an hour remaining, Liu Yichen started wandering around here.

Suddenly, Liu Yichen was attracted by a booth. There was only one person in this booth, and the poster showed that this time it was about the 'Hail Conjecture'.

Hail conjecture!?

This is a very interesting conjecture. The reason why it is called the hail conjecture is that it proposes that if you start from 2n, no matter how large n is, it will fall quickly like a waterfall. Even if other numbers are not like this, after several transformations

After that, there will inevitably be a cycle of pure even numbers 4^n:16-8-4-2-1.

The origin of the hail conjecture is also very interesting. One day in 1976, the "Washington Post" reported a piece of mathematical news on its front page. The article narrated such a story:

In the mid-1970s, on the campuses of prestigious universities in the United States, people were going crazy, playing a mathematical game day and night and forgetting food and sleep. This game is very simple: write any natural number n, and transform it according to the following rules:

If it is an odd number, the next step becomes 3n1.

If it is an even number, the next step becomes n/2.

Not only students, but even teachers, researchers, professors and academics have joined in. Why does the charm of this game last forever? Because people have discovered that no matter what number n is, there is no way to escape and return to the bottom. 1. Accurately

It is said that there is no way to escape the 4-2-1 cycle that falls to the bottom, and you can never escape this fate.

Even though computers are now very fast, and the terrifying computing power of supercomputers far exceeds people's imagination, they still cannot really calculate everything.

There is a big difference between mathematics and physics or computer-related disciplines. In physics and other disciplines, as long as a rule is discovered, a formula that is almost satisfactory can be summarized. The same principle will be applied to big data in the future. As for mathematical formulas,

It requires rigorous demonstration, the pursuit of perfection, and the satisfaction of all figures that appear in the future.

Therefore, formulas in physics, chemistry and other disciplines may be wrong, and new data may appear in the future to break them. However, it is almost impossible for such a thing to happen to mathematical formulas, which is why mathematics is also called the 'language of God'.

'The universal language'!

Since the birth of the 'Hail Conjecture', countless scholars have studied it, but no one has ever been able to prove it.

Of course, the 'Hail Conjecture' is also called the 'Kakutani Conjecture' because it was a Japanese named Kakutani who spread it to China.

There is a mathematical expression for this conjecture: for each positive integer, if it is an odd number, multiply it by 3 and add 1; if it is an even number, divide it by 2, and so on, and you can eventually get 1.

For this reason, it is also called the 3n1 conjecture!

Liu Yichen couldn't help but walk there. He didn't expect that this famous mathematical conjecture would be proved.

When I walked in, I saw that it was the third brother!

Third Brother's mathematics development is pretty good, slightly inferior to China's "Yidiandian", but its software is doing very well.

At this time, the third brother also saw Liu Yichen walking over. He had a spring-like smile on his face and immediately greeted him in curry-flavored English: "Hey, buddy, you have a good eye. Are you also in the direction of number theory?"

"Yes, your research results are really shocking." After barely understanding what the third brother was saying, Liu Yichen glanced at the poster, then looked around, and found that no one around him seemed interested.

Then he couldn't help but ask: "But why is there no one here? This is a Hailstorm conjecture!"

"Because of the arrogance and prejudice of 'Princetonians', they could not accept that a native Indian had defeated them in mathematics, and they even refused to let me go on stage to give a report without any reason." The dark-skinned Indian guy grinned.

, stretched out his hand and said: "Roshan, a doctoral student at Nehru University, has won the IMO gold medal, can I know your name?"

Nehru University, the best university in India, has the same status as Yan University and Shuimu University in China.

Liu Yichen did not expect that this third brother was actually from Jawaharlal Nehru University and had won an IMO gold medal.

However, Liu Yichen did not comment on what Luo Shan said. He had also heard about some of the characteristics of the third brother. He especially liked to show off and brag about himself. For example, at the Olympics, they shouted louder than anyone else, but their performance was particularly crotch-stretching. To this day,

In other words, he won 9 Olympic gold medals, including 8 gold medals before 1980. Without exception, these gold medals came from hockey, the most popular sport in India. But after 1980, after the hockey event was canceled in the Olympic Games,

India seemed to be insulated from Olympic gold medals and did not win another gold medal until the Beijing Olympics in China.

Similarly, India's performance in mathematics is similar. It has participated in so many IMOs, but has never won the IMO overall championship.

The only mathematician in the Indian mathematics community who can be remembered for his work is Ramanujan, a figure from around the 20th century.

"Liu Yichen, Yan University! A first-year undergraduate student. He has won the IMO gold medal with full marks and the IMO champion cup!" Liu Yichen introduced with some embarrassment.

Luo Shan looked at Liu Yichen with envy and said: "I really envy you for having a good school. You can participate in academic exchange meetings at this level as a freshman. It was only this year that I got the opportunity. But I believe that in another ten years,

Our Jawaharlal Nehru University will be like your Yan University, allowing undergraduates to participate in such high-profile academic conferences."

All right!

Sure enough, the legend is true!

Legend has it that there are two strange things in the world. Chinese people always look first. The economic aggregate should exceed that of the United States, the per capita GDP should exceed Luxembourg and Switzerland, and the welfare should be on par with France, Germany, and Denmark.

The second thing is that India always wants to compare with China!

"Well...I was invited by the organizer of the academic conference." Liu Yichen couldn't help but said with a little embarrassment.

Damn it!?

Are you comparing yourself to me!?

Don’t you have a system too!?

"Um, buddy, don't be ridiculous. 'Princetonians' are very arrogant. It's okay. We are all on the same continent. There is nothing to be ashamed of. Believe me, in another two hundred years, Asia will definitely be more developed than North America and North America."

Europe is great, they will be the ones I envy when the time comes!" Luo Shan said very optimistically.

Liu Yichen wanted to spit out a mouthful of blood.

In a few years, "big changes unseen in a century" will become a hot topic in China. By then, Chinese people have already shouted, "Our journey is the stars and the sea."

Two hundred years!?

What a joke!

Twenty years will feel like too long!

"Brother, here is my proof paper!" Luo Shan took out a stack of paper and said, "But I don't recommend you to read the paper. It has more than 20 pages and will take at least an hour to read. You can look at my list.

Formula!"

As he said that, a look of fanaticism appeared on Luo Shan's face. He picked up the chalk and started writing and drawing on a blackboard nearby: "Although you are an undergraduate, you may not be able to understand, but it doesn't matter, I

I am willing to communicate with you. Believe me, this will be of great help to your future mathematics career. I am the most outstanding young mathematician in India!"

Luo Shan was writing and drawing mathematical symbols and equations one by one, like a fanatical believer.

"My proof method uses inverse mathematics. If you listen carefully, you might be able to understand one third of it!" Luo Shan said.

"Reverse mathematics?" Liu Yichen frowned: "Did you prove the 'Hail Conjecture' with reverse mathematics? I thought you slept with a graduate student in algebraic number theory!"

"Algebra is just a tool for studying number theory, not the only way... Brother, let me tell you, mathematics is actually not that clear-cut. These are all cages created by people with ulterior motives. They want to
Chapter completed!
Prev Index    Favorite Next