Chapter 85: The Koralz Conjecture on the Airplane
Probably noticing that Li Mu's expression was a little wrong, Professor Lin Yao asked, "What's wrong with you?" ”
Li Mu came back to his senses, put this new task in his mind, and quickly shook his head and said: "No, no, I'm just a little surprised that the Mathematical Society of the United States actually sent me this invitation." ”
Lin Yao smiled: "Never underestimate yourself, you are compared to Gauss's mathematical genius." ”
Gauss showed an amazing talent for mathematics when he was young, and so did Li Mu, so many people on the Internet now compare Li Mu to another Gauss.
Li Mu scratched his head and said modestly: "I'm still far from Gauss." ”
Lin Yao waved his hand: "This is the present, and the future is uncertain." ”
He didn't know what would happen to Li Mu in the future, but anyway, he had already seen the shadow of a future mathematician.
After that, Li Mu finally got the consent of Dean Pang Ming and agreed to leave him for the next period of time.
With the dean's consent, Li Mu finally got permission to take a leave of absence from other math teachers.
Of course, the conditions are also indispensable, similar to the teachers in the School of Physics, and they basically require Li Mu to perform well in the final exam.
In this regard, Li Mu of course agreed.
Anyway, for him, there is no problem with the exam-taking exam.
Full marks Gagana.
……
"It's going to take about three to four weeks this time, and are you ready to change your clothes?"
Two days passed quickly, and it was time to set off.
Downstairs in the science building, Wu Mengyuan, who was holding a large suitcase, glanced at Li Mu and asked.
"All set!"
Li Mu patted his suitcase, which was also very large and heavy.
It was already the middle of November, and the weather was already cold, and considering that the weather would probably get colder and colder in the future, he brought very thick clothes.
"Okay, get in the car." Wu Mengyuan nodded, and then took Li Mu into the car.
The driver, a teacher at their college, started the car and headed to the airport, where he boarded the plane to Beijing.
This time, the project was hosted by the Huaguo Institute of Atomic Energy, so the location of the experiment and research was at the Institute of Atomic Energy in Shangjing.
Of course, only the Atomic Energy Research Institute in China has the ability to develop fourth-generation nuclear power plants.
got on the plane, Li Mu and Wu Mengyuan's seats were not together, because their check-in time was a little late.
And Li Mu didn't take advantage of this free time to study, but closed his eyes and thought about the new task in his mind.
Since he still has to focus on the task of the national project for the next period of time, he has to determine as soon as possible, and when the time comes, he will go to the joint mathematical conference and publish the new results report.
You must know that the 2020 joint mathematics conference will be held in February, and the time is relatively tight, so he has to prepare early.
When he closed his eyes and thought, the two passengers next to him also arrived, he leaned into the aisle, and in the middle sat a junior high school boy who looked about fourteen years old, wearing a peaked cap, looking very energetic.
By the window was a man with glasses who looked to be about twenty-seven or eighteen years old, who also came up and rested with his eyes closed.
When the junior high school boy came up, he took out a book from his bag and read it, reading it very attentively.
However, Li Mu didn't pay attention to what book he was reading, and reviewed various unsolved mathematical problems in his mind, thinking about which problem to choose the best to study.
All of a sudden, he even had difficulty choosing.
As time passed, the plane finally entered the runway, accelerated and took off.
Feeling the feeling of weightlessness when taking off, as a physics student, Li Mu couldn't help but admire this kind of human science and technology in his heart.
It wasn't until the plane entered the predetermined altitude and began to fly steadily that Li Mu suddenly heard a discussion next to him.
He couldn't help but open his eyes and look to the side, only to see that the two people sitting next to him actually discussed the problem, and it was ...... Math problems?
He glanced over and saw that the junior high school boy next to him was reading a book called "Advanced Number Theory".
And what they seem to be discussing is a question for thought mentioned in the book.
“…… The beauty of this problem is that any elementary school student can understand it, but no one has been able to solve it. The man with glasses said.
The junior high school boy nodded and said, "Of course I can understand this, but how is the research progress on this issue now?" ”
"There are also quite a few results, such as in 2005, a mathematician proposed a weak version of this problem."
The man in glasses began to write on the small table as he spoke.
"A given set as a series of positive rational numbers can form a multiplicative semigroup, the elements of which are generated by......
【{2}∪{(2k+1)/(3k+1)|k≥}……】
Looking at what the man with glasses wrote, the junior high school boy actually read it with relish, and seemed to understand it.
"In addition, just a few months ago, a mathematician named Tao Zhexuan also gave a very close idea, he described the path of this sequence, and as long as it can be proved that this sequence is a series of real numbers that tend to be positive infinity, this problem can be completely solved, but there is still a problem......"
The man with glasses wrote another formula on the paper.
【ΛR(N):=∑μ(d)log(R/d)=……】
"What should I do here......
The man with glasses seemed to be lost in thought.
And the junior high school boy's face changed from relish just now to bewilderment.
Probably, at this time, the glasses man was thinking about more questions than he could do.
At this time, Li Mu figured out what they were talking about.
Koralz conjecture!
It is also known as the hail conjecture and the Kakutani conjecture.
It is described as: arbitrarily given a positive integer x, multiplied by 3 and added to 1 if it is an odd number, divided by 2 if it is an even number, so that after a number of times, it will always return to 1.
This problem is described in the mathematics textbook of Huaguo Primary School.
It is so simple that any elementary school student can understand it, but its difficulty is ranked among all mathematical problems, which is its charm, so it is relatively more concerned by mathematicians than the Adama conjecture solved by Li Mu
There are even institutions that have put a bounty on the problem, and anyone who solves the problem will receive $1 million.
But to this day, it still sits at the peak of mathematics, holding all mathematicians back from climbing.
Li Mu didn't expect that he would be able to meet his peers after taking a plane.
And his eyesight was very good, and he could see the man with glasses thinking about it.
After a moment of thought in his mind, he reminded, "You can't use ergodic theory, otherwise you'll continue to get wrong terms like o(1)." ”
The man with glasses was stunned for a moment, and subconsciously asked, "Then what should I do?" ”
Li Mu was not polite, crossed the middle seat, and took the draft paper and pen from the small table of the man with glasses.
The man with glasses didn't refuse at all, so he let Li Mu take it and watched Li Mu write.
After a moment, his eyes lit up: "Yes, yes...... That's it! Thermody's theorem! ”
(End of chapter)