dkrc Chapter 316 Is This Road Blocked?
Chapter 316 Is This Road Blocked?
take off.
Song He took out his mobile phone and continued to read medical and biological papers in preparation for treating Lao Zhao.
Suddenly, a pair of long legs stood aside, and then a laptop was placed on the small table in front of him.
Song He raised his head in astonishment. Xiang Xiaotong was standing beside him. He put on gold-rimmed glasses at some point and looked serious.
"This is your job, right?" Xiang Xiaotong pointed at the computer.
On the screen is a magnificent point cloud programmed with artificial brains. If you take a closer look, you will see that it is a program for dynamite data analysis!
"Yes, I did it!" Song He nodded quickly.
"I noticed that you introduced a fully geodesic submanifold at this location, which is very novel. I have only seen you do this so far. How did you come up with the idea?" Xiang Xiaotong asked.
Song He was shocked. The location pointed out by Teacher Xiang was the soul of the program. It was very hidden and most people would simply ignore it, but she accurately captured the key point.
This kind of difficulty is like accurately identifying a disabled ant with broken antennae among a large number of busy normal ants!
He didn't dare to neglect, and pointed at the screen to explain.
"This position is regarded as a minimal submanifold S. The small s is the scalar curvature of the manifold, which has nothing to do with the outer space and is an intrinsic invariant. So I think the large S is also an intrinsic invariant..."
"I understand!" Xiang Xiaotong suddenly interrupted him.
Song He was startled. He just started talking. Teacher, do you understand?
"But according to your idea, in addition to the fully geodesic submanifold you used, you can also use the Clifford torus and the Veronese surface on the 4-dimensional sphere. Why didn't you choose the latter two?" Xiaotong asked.
Song He was shocked. She really understood it. Not only did she understand it, but she also had an insight into the scene where she was writing the program!
He is worthy of being the creator of brain-inspired programming, and his mathematical skills are so terrifying. At this moment, Song He actually felt like he was sweating, like a Erha being held down by the wolf king and asked about his hunting strategy.
Is this pressure from the strong?
"I thought that there were three ways to go. I was undecided about which way to go, so I decided to try them one by one." Song He said with an awkward smile, "It turned out to be very lucky. The first path I tried was the fully geodesic submanifold. Get through.”
"So you didn't think twice about Clifford's torus and Veronese surface?"
"right."
"Let's try it together now." Xiang Xiaotong said, "Try the Clifford torus first."
Song He obediently held the mouse. Teacher Xiang spoke in a gentle voice, but his attitude was not to discuss, but to urge him to start work.
In a state of panic, Song He took a deep breath and started composing brain-inspired programming with a few clicks of the mouse!
The overwhelming light spots are getting denser and denser on the screen, like thousands of debris flying after an explosion.
Song He thought of his laptop. The same program should have turned the fan on at this moment, but Xiang Xiaotong's laptop was not breathless, and even the heat was very limited. The connection process on the screen was silky smooth, and there was no familiar feeling at all. Delay.
Finally, I got to the point of writing.
Song He frowned, stopped the mouse, and stared at the screen in deep thought.
"What's wrong?" Xiang Xiaotong asked.
"I don't know how to get here. Maybe I need an isoparametric hypersurface, but I don't know..."
"Set one." Xiang Xiaotong interrupted him gently, "M is an n-dimensional closed constant mean curvature hypersurface of the n+1-dimensional unit sphere S. There is at most one single principal curvature at any point P..."
Song He suddenly understood and his ideas suddenly became clear. He tapped the keyboard twice to switch modes and continued clicking excitedly.
He was immersed in programming and gradually forgot about his nervousness.
As he wrote, he stopped from time to time and hesitated in the face of difficulties, but Xiang Xiaotong could always give him sharp opinions on how to proceed next.
Occasionally, there would be something Xiang Xiaotong didn't understand, and she would reach out and gently pinch his shoulder, asking softly. Often, as soon as Song He started to say a sentence or two, she would throw out a sentence of understanding and signal him to continue writing.
The teacher and the student worked together to write the program and unknowingly advanced it for an hour.
Then, the real difficulty comes!
Song He first wrote the last subroutine according to his own ideas, but after writing it, he couldn't run it. The golden data flow was erratic, like a patient with prostate problems peeing, and the urine flew everywhere.
Xiang Xiaotong patted him on the shoulder and said, "Delete this part. I have an idea. You can try rewriting it."
Song He simply deleted the last subroutine and followed Xiang Xiaotong's instructions to write it down.
During the writing process, he felt that there were loopholes, but he couldn't see the specific loopholes. Since Teacher Xiang's level was much higher than his own, he chose to write it down obediently.
But when I ran it after writing it, it was still wrong as expected. The golden data flow was like bifurcated urine, most of which ended up on my shoes.
The teacher and student frowned neatly and fell into deep thought.
After a long moment of silence, the two exchanged views.
"Teacher, can you tell me this? For a closed minimal hypersurface with a constant curvature on a sphere, the value of the square modulus S of its second basic form is a discrete set..." Song He spoke first.
"But it only holds true when n equals 6 and 7." Xiang Xiaotong shook his head, "The n of this program must be above 11 in the end."
"I have an idea. Can I use the rigidity theorem of parallel average curvature submanifolds?" Xiang Xiaotong hesitated, "S is less than or equal to C (n, p, h), and there will be five situations in M in the end..."
"There is only one kind." Song He dialed the previous program and said, "This part has been restricted. It can only take the full umbilical spherical route."
"The full umbilical spherical surface will definitely not work. If you move it forward, yes, this position will cause the Dharma bundle to be flat."
"No way?" Song He was confused.
"Would you try it?" Xiang Xiaotong snorted.
Song He started clicking in disbelief.
After clicking for a long time, he suddenly stopped and looked at the large point clouds on the screen that turned gray as if there was a power outage. He looked embarrassed and said, "It really can't be done..."
Xiang Xiaotong put his elbows on the seat and held his chin in one hand, with an expected expression, "So what should we do next?"
Song He is silent.
Xiang Xiaotong was silent.
"It shouldn't be. Logically speaking, this road can be used. Why did it end up in a dead end?" Song He scratched his head and typed on the keyboard to look back at the previous program, "Maybe what went wrong before?"
"The front is definitely correct, I watched the whole process." Xiang Xiaotong paused, "It is very important whether this road can be passed."
"Is it important?" Song He was stunned.
"I have an important program on hand, and I have been researching it for two or three days without making any progress." Xiang Xiaotong pointed at the screen, "I just got inspiration from your explosive data analysis program. If I can get this route through, I will That important procedure should also be able to go through!"
"Teacher, I will study it further! Cut it through as soon as possible!" Song He swore.
Xiang Xiaotong yawned with a tired look on his face, "I'll go back and sleep for a while. If you still want to study, you can try again, but I feel like this road is blocked. Maybe you can find out the reason why it's blocked?"
Xiang Xiaotong patted him on the shoulder, his tone obviously low on hope.
She returned to her seat, took off her gold-rimmed glasses, covered herself with a small blanket, tilted her head and slept quietly.
Song He looked at the time and saw that the plane would arrive at its destination in about five hours.
The program must be solved within five hours!