I Exchange For Black Technology By Blowing Up The Bully

Chapter 235 The Historical Fate Of A Strange Combination Of Circumstances

As night fell, Song He hurried back to the dormitory with a box of new oxygen bottles on his shoulders.

The door of dormitory 102 next door was open, and the smell of alcohol floated out. The smell in the corridor was comparable to that of a brewery.

Song He put the oxygen bottle back in the dormitory, turned around and went next door to find Shekov.

Shekov was working at his desk, with green bottles of Tsingtao Beer lying on the floor at his feet, probably bought from the school’s small supermarket.

"Sassoon guesses that I have a clue." Song He took out a piece of paper, unfolded it and placed it on the table.

Shekov was surprised, picked up the certificate and took a look at it.

"What a coincidence!" He took out his certificate and put it next to him.

Comparing the two papers, the progress was almost the same. Shekov wrote one or two more lines.

Song He looked slightly embarrassed and took back his certificate, "Do you have any ideas for the next step?"

Shekov shook his head repeatedly, "I've been stuck for half an hour. I tried seven or eight ways, but nothing worked! Aren't you studying the Calabi-Qiu Shing-tung theorem?"

"Pikachu's theorem is too difficult. I won't be able to figure it out for a while, so I'll settle for a simpler one." Song He smiled bitterly.

"I didn't expect that Sassoon's conjecture was not simple at all, right?" Shekov also smiled bitterly.

Since both parties are at similar progress and have no ideas for the next step, there is nothing to discuss.

Song He said goodbye and returned to the dormitory next door. Before leaving, Shekov picked up a bottle of beer and wanted to give it to him, but Song He, a teetotaler, decisively refused.

Alcohol numbs the brain and slows down thinking.

How can you prove a mathematical conjecture when you are drunk? Isn't this a joke?

Compared to the illusory inspiration created by alcohol, Song He prefers the oxygen that makes people sober!

Sitting at the table, he took out an oxygen bottle as a spare. He searched for papers online and started a new round of study.

The current progress in proving Sassoon's conjecture requires the use of Poincaré mapping.

But Song He had only scratched the surface. The Three-Legged Cat Kung Fu could not prove the conjecture. It could only be used to frustrate multiple-choice questions. Therefore, we must thoroughly understand the relevant knowledge points, and then look for any breakthrough points that can continue to prove it.

He searched for papers related to Poincaré mapping and sadly found that it is very difficult to learn directly!

You have to take a step back and learn some lower-level and simpler knowledge to make a transition.

After some searching, Song He aimed at the target, Lyapunov index!

There is God's will in the dark. Lyapunov is a Maozi mathematician and a member of the St. Petersburg School of Mathematics. His teacher is Chebyshev, the founder of St. Petersburg University.

More than a hundred years later, Shekov from the Department of Mathematics of St. Petersburg University came to the far East. A strange combination of circumstances prompted Song He to study Lyapunov's theory on his own. He couldn't help but sigh at the smallness of the world and the wonder of history.

But it is difficult to find courses on Lyapunov exponent on the Internet.

It doesn't matter, if you are in trouble, go to Lao Wang!

"Professor Wang, I want to learn about Lyapunov exponent. Do you have any former students who have studied this problem? Are there any relevant papers suitable for beginners like me?" Song He sent a message on his mobile phone.

"Lyapunov index? Have you learned this to this extent?" Professor Wang replied, obviously surprised, "Why did you learn such partial knowledge? Many undergraduates in the School of Mathematics did not even look at this thing after graduation. .”

"I want to prove another conjecture. I don't know what knowledge is useful, so I just want to learn it randomly." Song He explained.

"You should learn flow first, and then Lyapunov exponent. It will be easier to learn them together." Professor Wang continued, "There is a good textbook from Northwest University. It was compiled by my senior brother. I will help you find the electronic version. Just wait."

"Thank you, professor!" Song He said sweetly and waited silently.

While waiting, he was not idle. He took out the confidential textbook and read it quickly with concentration.

The work pressure tonight is very high. We must take Sassoon's conjecture a big step forward. Otherwise, if we lag behind Shekov step by step, there will be no point in studying Sassoon's conjecture.

At present, he and Shekov are still on the same starting line. I wonder when the gap will widen?

…

Next door, dormitory 102.

Shekov felt as if he was facing a powerful enemy, and every tiny muscle under his face showed tension, like a beast smelling the approach of another beast.

Usually he drinks to relax, and relaxation can inspire inspiration.

But the wine didn't work today. Song He suddenly added the proof of Sassoon's conjecture, which made him nervous!

If Song He proves to be very slow, there is no need to worry, but he is progressing fast enough and is only a small step behind!

Shekov wrote quickly, covering sheets of scratch paper with calculations, using computers to calculate from time to time, and devoted himself wholeheartedly.

Sweat continued to ooze out, and the wine he drank quickly was more than half gone. He kept drinking wine to replenish his inspiration!

The vibrating sound of his cell phone interrupted his calculations.

Catalina: "How's the progress?"

Shekov raised his cell phone to take pictures, took pictures of the entire certification process, and waited uneasily after sending it.

Catalina: "You did all this in one day? My progress is three times as fast as yours!"

Catalina: "I asked you to help because I hope you can at least keep pace with me, instead of not being able to even see my taillights. If you are so far behind, how can you help me?"

Shekov was sweating and typing quickly to explain, "I tried my best! But I'm a bit rusty at first, so I'll speed up the process to prove it!"

Catalina: "The Sassoon Conjecture is very important to me. This is a task. Due to confidentiality regulations, I can't tell you much for the time being, but my life destiny will be completely different if it proves successful or fails!"

Catalina: "Come on, I need your help! I'm very tired. I need to take a nap first. I hope I can see you have a breakthrough after I wake up."

Shekov: "Don't worry, I will catch up with you when you wake up! Then we will work together to prove it!"

Buckle up your phone.

Shekov rubbed his face anxiously with his hands.

Caterina is so energetic that she only sleeps for five hours, so within five hours, the proof of Sassoon's conjecture must take a big step forward!

The goddess finally needed help. How could she be disappointed with this once-in-a-lifetime opportunity?

There is no way out!

Must succeed!

Shekov picked up the pen and wrote furiously. The dormitory was filled with the clicking sound of the pen tip.

…

Dormitory 101.

My phone buzzed, and the electronic version of the textbook was here!

Song He took the comprehension capsule and mental arithmetic capsule, and his brain power was refreshed!

He opened the electronic textbook on his computer and read it carefully.

Most differential equations have no analytical solutions, but numerical solutions to differential equations can be found with infinite precision.

In the two-dimensional coordinate plane, define the direction vector of each point. After all points are defined, the plane vector field is obtained.

Every point in the plane vector field can reach another point by walking an infinitesimal distance along the direction. After repeated operations, a curve can be obtained.

All smooth curves form a set, each element of which is a solution to a differential equation.

For solutions to differential equations, they are collectively called "flow"!

Song He easily understood a series of concepts in just a few seconds and couldn't help but smile.

Mathematics is still very simple!

After realizing that the capsule was working, he immediately judged that the flows should be disjoint. After all, there were two direction vectors at the intersection, but the direction vector at each point should be unique. Just like every drop of water in a river flows in only one direction, it does not flow east or west at the same time.

Turning back, sure enough, this point was mentioned on the next page, and Song He was very happy.

Not long after he was so happy, his face turned gloomy.

Flow is a dynamic concept and cannot only be considered static points.

Turning back, a large number of confusing images appear, as well as long paragraphs of conceptual descriptions without human words, which can be said to be a sudden change in the style of painting.

It’s abstract!

The difficulty is up!

Sure enough, mathematics is not easy to deal with. The first few moves are just for testing, and the guys who copy them later will really hit!