dkrc Chapter 247 Hitting The Boundaries Of Mathematics!
Chapter 247 Hitting The Boundaries Of Mathematics!
Song He submitted his guess and then opened the group file to check Jinling Institute of Technology’s new guess.
Soon, a look of surprise flashed in his eyes.
I originally thought that Jinling Institute of Technology was scattered and trivial conjectures, but after reading it in general, I found that it is continuous!
After a big conjecture, there are several small conjectures in a row, just like branches branching off the trunk of a tree.
Song He is thoughtful.
"Dong dong dong!" There was a knock on the dormitory door.
Song He stood up and opened the door, and a red Shekov stood at the door with a worried look on his face.
"We are behind in the score." Shekov paused, "The confrontation between these two schools puts a lot of pressure on me! The pace is too fast! We have played against each other for more than ten rounds, and the other students have not caught up yet! "
"The opponent's leader may also be one or two people." Song He said, "In high-end games, only the top combat forces are fighting, and the others are just adding to the fight."
"There are one or two people on the opposite side?" Shekov was confused, "How can you see them?"
Song He pulled him to the computer screen and cut out four windows at the same time, placing a new conjecture from Jinling Institute of Technology in each window.
Shekov had no ability to look at the four windows at the same time, so he could only look at them one by one. Fortunately, he had good math skills, and he suddenly understood when he browsed the third window.
"Jinling Institute of Technology's conjectures are connected together, just like digging a mine! Keep aiming at a mine and keep digging deeper!"
"So it is very likely that he is a top-notch strongman who will make continuous moves after deep cultivation!" Shekov understood quickly. "We also have to dig deep into one area. It's inefficient to dig mines everywhere. It's more efficient to dig one mine exclusively. It's more efficient to make guesses!"
"I'm good at topology and geometry, and I plan to specialize in geometric topology." Song He nodded.
"I specialize in functional analysis!" Shekov stood up in a hurry, "Okay, okay! I have a direction. I will go back and work all night, and I will kill them at eight o'clock tomorrow morning!"
Song He sat down and quickly switched between the four windows to read geometric topology papers in recent years.
I put a piece of paper on hand, ready to make a guess.
But after a full hour, not a single word was written on the paper!
Song He put on the mask of pain, not because he had no ideas, but whenever he had an idea, he could always find relevant papers by searching. Mathematicians from all over the world have accumulated many years of experience and have already thought of almost everything they can think of.
What I want to say has already been said by the ancients!
It is known that the field of mathematics is poor and there is no profit to be squeezed out!
Song He took a deep breath. The only way out was to advance to the mathematical boundary of the field of geometric topology. The more inaccessible the boundary wilderness, the more undiscovered conjecture mines.
However, with his current strength, can the boundary really be peeked into?
Taking a deep breath, Song He started searching for more advanced geometric topology papers and headed towards the top!
The last time he learned the Calabi-Yau theorem, he found a way to quickly gain access to advanced knowledge.
First find a top-level paper. If you can’t understand the content, it doesn’t matter. Select the words and phrases in the paper that you don’t understand and search for lower-level essays to study. If you still don’t understand, search for lower-level essays.
It is equivalent to finding the strongest BOSS at the beginning of the game, taking a peek from a distance to find out what skills the BOSS has and how much HP it has, and then turning around to find the little wild monsters along the way to level up and practice skills based on the characteristics of the ultimate BOSS.
Until one day when the ultimate BOSS was killed, this world of mathematics was completely mastered!
Soon, Song He gradually found the top results in recent years.
The homologous edge group problem of the triangulation conjecture, the existence problem of symplectic manifolds, new developments in 7-dimensional manifolds, specific kink classification of tangent manifolds...
Undoubtedly, the most cutting-edge papers are completely divine!
Song He looked at it for a long time with a confused look on his face. Not to mention that he could not understand the details of the paper, he even had a partial understanding of the abstract.
He wrote down a series of keywords, began to search for low-level papers, and studied hard.
Not long after, the sound of "chichichichi" oxygen was heard again in the dormitory.
[Progress in mathematics detected, raised from gold level 93 to gold level 94! 】
[Progress in mathematics detected, raised from gold level 94 to gold level 95! 】
I devoured one paper after another, including domestic papers and foreign papers, award-winning papers and anonymous papers, and even papers with conflicting conclusions, papers that seemed to contradict themselves.
Song He marched alone in the wasteland of geometric topology, galloping across the mountains and plains with papers!
A huge amount of knowledge was stuffed into his brain, and he kept eating various capsules like jelly beans. He felt almost like a trained AI, constantly fed by the database. He didn't know what monster he could feed in the end.
Suddenly, an upgrade prompt woke him up from his infatuated study.
[Progress in mathematics detected, raised from gold level 98 to gold level 99! 】
Golden pinnacle!
Song He was in a daze. He thought it would take a long time for this day to come, but he didn't expect it to come in an instant!
Looking back on the past period of time, it is true that the learning state was very high-pressure, pushing the limit every day, squeezing the potential every day, plus the resentment value of selling questions is still flowing, and taking systemic drugs is open to the public.
He pulled out a blank piece of paper and tried to write a guess.
He held the pen with solemn eyes for five minutes, then let out a long sigh.
There is still no conjecture. Although I have learned very deeply, I am still far away from the boundary of mathematics.
Geometric topology is a sky-high mountain. Ordinary people are at the foot of the mountain. Mathematics students are concentrated in the forest halfway up the mountain. Song He has just left the forest and reached the height of snow!
But the snow under our feet was still very thin, and the snow was full of footprints, and countless people had passed through.
If you want to dig for treasure, you have to continue climbing up and climb deeper into the snow!
Song He had a vague premonition that he only had to go up a short distance and enter the mist-shrouded snowy mountainous area. He guessed that there would be stones everywhere, and he could pick out a basket of them just by bending down!
Thinking of this, he couldn't help but be horrified.
Experts from Jinling Institute of Technology made several guesses today. How high has their opponent reached? Are you near the top of the mountain?
"Dong dong dong!"
After the dormitory door rang, bright red Shekov stood at the door.
He looked tired, smelled of alcohol, and was clearly tortured by mathematics.
"A major setback!" Shekov sighed, "I only held back two guesses all afternoon, and my hair is almost bald! How is your progress?"
"There is no progress yet. I'm still learning and I've reached a bottleneck." Song He said solemnly, "Once the bottleneck is broken, I can make a lot of guesses, but it is difficult to break through the bottleneck. The battle in the past two days depends on you. "
The two went to the cafeteria to have dinner together.
It was already 8:30 in the evening, and the cafeteria was about to close. There were only some leftovers. Fortunately, the two of them had math to eat. After sitting down, they each used their mobile phones to brush up on papers and math problems. They were immersed in solving the problems, and the taste of the meal was just the same. never mind.
"What is the key difficulty for you to break through the bottleneck?" Shekov suddenly asked, "Tell me, what if I can solve it for you?"
Song Hexin said, what can you solve for me? Your level is already lower than mine, and geometric topology is not your strong point.
"Abstract." Song He said.
"How specific?"
"For ordinary geometric topology questions, no matter how complex the shape is, I can imagine the real thing in my mind. But the most advanced geometric topology theory involves high dimensions, and it is difficult to imagine it in my mind. Even low-level items like Klein bottles , I feel a little unnatural, and thinking about more complex structures is beyond the limit of my imagination."
Shekov pondered for a moment, "If I could let you see with your own eyes what high-dimensional space looks like, would it help you understand it?"
"Of course." Song He smiled, "Let me go to the wormhole for a walk, maybe I will realize it."
"You can't create a wormhole in reality, but you can see a simulated wormhole!" Shekov said.
Song He's smile suddenly froze, and he suddenly remembered something, and his eyes lit up with joy.