Genius of the Rules-Style System
Chapter 138 Proof of Kakutani Conjecture in the Magazine
During the lecture on "Zhao's Screening Method" at Yanhua University, Zhao Yi mentioned that he had cracked the Kakutani conjecture. Li Yilai had an attitude of rather believing it, and started serious research after returning home, striving to publish a paper first. .
This is shameless.
Li Yilai didn't care whether he was shameless or not.
Zhao Yi's 'screening method' made several years of hard work in vain. It can be said that he has no good impression of Zhao Yi, and the temptation to crack mathematical conjectures is too great.
The Equiangular Valley Conjecture has become "Lee's Theorem". Anyone who talks about it can think of his name. He may even use it to compete for the top "Fields Medal" in mathematics. He will be recognized as the world's top mathematician. Family, and retirement can be regarded as a complete life.
Who cares about the rest?
Society is like that.
The winner is king, and the loser will be forgotten no matter how hard he struggles. There may be controversy for a while, but as time goes by, no one will talk about it anymore.
Li Yilai went to study with great expectations. He felt that Zhao Yi was not lying at that time. He must have proved the Kakutani conjecture, and the direction of proof was binary demonstration. Other processes must also be hidden in the "Zhao-style screening method".
Forget about food and sleep!
Head cantilever, conical spine...
Li Yilai's research spirit is worthy of recognition, but hard work may not necessarily lead to rewards. He kept sorting out the proof process of the 'Zhao's Screening Method' and studied it carefully several times from beginning to end, but he could not figure out how to prove it specifically. .
"This is wrong!"
"No progress at all!"
"Is that kid lying?"
The more Li Yilai thought about it, the more he felt something was wrong. How could a world-class mathematical problem be so easy to prove?
Although that kid has developed a very interesting 'screening method', most of it is due to his surprising ideas. The difficulty of mathematical conjectures is several levels higher. Countless top mathematicians have had problems with the Kakutani conjecture for decades. Research, but still not proven.
So... he was tricked?
After Li Yilai figured it out, he angrily tore up all the manuscript papers. Several days of hard work were in vain again. He felt like a monkey, being tricked around without even realizing it.
at the same time.
Others who had the same idea as Li Yilai also felt that they had been deceived by Zhao Yi. They studied and studied and found that there was no difference between the binary demonstration and the decimal system.
It's just a different way of expressing it.
For example, if a function name is f(x)=a+b, replace x with y, and replace a and b with c and d, it becomes f(y)=c+d, which is the same as the original function. no difference.
Thoughts, still no.
Some people are so angry that they can't find a way to retaliate. Their connections in academia are useless because Zhao Yi is just a high school student. He can be said to have "no desires and no demands". No matter how powerful his connections are, he still can't. Can you prevent him from going to college?
Not to mention whether he can or cannot do it, if Zhao Yi is not allowed to go to domestic universities, foreign universities are eager for him to go!
They can only go online to spray.
One or two people trolling has no effect at all. Li Yilai also hired Internet trolls to say, "Zhao Yi doesn't understand mathematics" and "Zhao Yi talks nonsense in speeches and doesn't respect academics at all."
This is somewhat useful.
Li Lin, a guest on the "Brain Bang" program, felt that he had found a point to criticize Zhao Yi.
The last time Zhao Yi explained the steps of the Rubik's Cube, Li Lin questioned it from a professional point of view, saying that it was impossible to be completely fair in disrupting the Rubik's Cube. Then he was slapped in the face by Zhao Yi's Rubik's Cube computer.
The incident became a stain.
Until now, many netizens talk about Li Lin and call him "Impossible Dr. Li".
If you are a person with a good attitude, you will probably accept it happily. "It's impossible to be fair Dr. Li" sounds like a good nickname. Most of the names chosen by netizens are joking. The emergence of the Rubik's Cube computer shocked many people. Li Lin was only slapped in the face incidentally.
But Li Lin is not big-minded.
Whenever he saw the nickname "Unfair Dr. Li", Li Lin felt very angry and kept it in mind.
During the last "Brain Bang" program, there was a mathematical calculation genius who could verbally calculate the value of the root of a large number, and could even tell the number of decimal places. Later, during the analysis, the computer genius Zhao Yi was mentioned. It shows that there are many professional talents in the country.
When Li Lin found an opportunity, he said, "Zhao Yi is a computer genius, but not necessarily a math genius."
This sentence is very certain.
The ratings of "Inside Out" were pretty good, and there was a lot of discussion on the Internet right away.
This kind of public opinion has little impact on Zhao Yi.
A large number of netizens naturally sided with Zhao Yi, because he was only a high school student and making fun of mathematical conjectures in his speech was not a big deal at all.
Many people think that saying "Zhao Yi doesn't respect mathematical conjectures" is just making a mountain out of a molehill and putting a high hat on others. As for "does he understand mathematics" and "is he a mathematical genius"...
Does the argument make sense?
At this time, a post broke the news that Zhao Yi received a perfect score in the Mathematical Olympiad competition and was the Nanjiang Province Mathematical Olympiad champion. He was also the only person in the country to achieve a perfect score in the provincial Mathematical Olympiad exam.
Some netizens jokingly said, "Maybe Zhao Yi doesn't understand mathematics now, but he will definitely understand mathematics in the future!"
"Even those who know mathematics may not be able to get perfect scores!"
"Zhao Yi is still just a high school student..."
The popularity of this kind of public opinion is completely artificial. Zhao Yi is not a real public figure or entertainment star. Most netizens lose interest after just one look and one sentence.
Within two days no one was talking about it.
The public opinion on the Internet has not affected Zhao Yi. He is now waiting for the paper to be published. He has nothing to do and just enjoys his high school life.
Learning is the main theme.
Zhao Yi insists on reciting ancient poems every day, and also constantly does reading comprehension and other questions. If you do too many questions, you can find the solution. At the same time, he also follows the teacher’s lecture program and slowly reviews the biology and chemistry content. Every experiment is You need to be thorough and familiar with it, and strive to master all the knowledge points.
His goal is to be among the top ten in the province by the end of the semester.
It's not difficult.
Now Zhao Yi is certain about his grades. As long as he improves his Chinese language a little more and reviews chemistry and biology better, his grades will definitely improve. As long as he can steadily improve by ten points, it will be enough to compete for the provincial ranking.
In the middle of his study life, Zhao Yi also devoted himself to his hobbies. He was very interested in experimental robots.
He started designing the robot's programming code.
In fact, the intelligence limit of a robot is not only the internal code and algorithm, but also the hardware facilities, such as image resolution, sensor efficiency, sound processor, etc. The efficiency of each component directly determines the upper limit of the robot's intelligence. .
Of course.
There is no solution in terms of hardware.
Zhao Yi could only start with the software to transform it. He combined all the program function codes copied from the Zhouyu Interactive, Intelligence and Automation Laboratory so that the effects of the program could be reflected on the robot.
Robots already have simple functions.
Today's robots can recognize very simple voices and convert special voices into command effects.
For example, raise your left hand and right hand.
Walk forward, stop, walk backward, circle.
Play music, host search, and read.
etc.
The voice execution of these small instructions will not be a big deal in more than ten years, but it is already very advanced now.
Zhao Yi is designing program codes to give robots more autonomous capabilities.
First, there’s walking.
Automatic path finding and obstacle avoidance functions do not sound difficult, but it is still very complicated for a semi-human robot with deviated hardware to automatically avoid obstacles and walk to a designated location.
Zhao Yi initially used sensor touch, that is, after the robot hit an obstacle, it then moved sideways to avoid the obstacle. He soon discovered that this was not practical because the sensor was not sensitive and the robot was afraid of collisions. , he can still only seek complicated methods——
Image analysis!
This method involves complex computer graphics. Zhao Yi doesn't know much about graphics, so he consulted Xu Chao from the Intelligence and Automation Laboratory.
Xu Chao just smiled bitterly and said, "Our research can only allow intelligence to distinguish colors. We want to use camera images to determine obstacle avoidance... I can only give you some relevant reference books."
"You'd better study it yourself slowly..."
Then Zhao Yi received a lot of reference books, including some research materials.
Although the research information is public, it is not sold on the market, and some of the content cannot be found even if he wants to find it. He is still very grateful to Xu Chao, and then his interest becomes studying computer graphics.
The ultimate goal is to truly enable robots to accurately distinguish obstacles and possible paths, just like human eyes.
…
time flies.
January is here.
Princeton, New Jersey.
Uluz, a Hungarian professor at Princeton University, was giving a popular mathematics class to the students. He was talking about unproven mathematical conjectures in number theory.
Uluzi’s lectures were very personal. He included ‘Fermat’s Last Theorem’ as one of his conjectures because he dismissed Andrew Wiles’s proof process.
He told the students, "If I were to choose the biggest liar in the past twenty years, I would definitely vote for Andrew Wiles. He got Fields by fraud!"
The students in the audience all laughed.
Many mathematicians have objections to Andrew Wiles's proof process of Fermat's conjecture. One thing that is clear is that his proof process quoted Galois theory, and Galois theory is a contradictory pseudo-theory. .
Uruz also saw it this way. He talked about Wiles's proof process and finally came to the conclusion, "So, no matter what the outside world says, I think Fermat's conjecture is still Fermat's conjecture, even if he took it away Fields and a million dollars!”
Next, Uruz explained other mathematical conjectures, one of which is the Hail (Kakutani) conjecture.
"This conjecture is very interesting."
Uruzi smiled and said, "What's interesting about it is not the title or difficulty, but that every year someone claims to have proved the hail conjecture. Even some graduate students dare to submit papers proving the hail conjecture. But so far, There is no recognized rigorous proof process.”
When Uluzi finished saying this, he suddenly saw students in the audience raising their hands.
He asked by name, "Jody?"
Jody Williamson held a thick magazine in his hand, stood up and said, "Professor Uruz, you probably haven't read the new issue of the Journal of the Mathematical Society yet?"
"What?" Uruzi frowned.
Williamson explained, "This is the latest issue, and after page 17 it's all proof of the Hail Conjecture."
After he finished speaking, he joked, "The proof process of the paper in the Journal of the Mathematical Society is not rigorous, right?"
Uruz was stunned.
He quickly walked to Williamson's desk, picked up the latest magazine, immediately turned to page seventeen, and read it carefully.
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