Ning Mo and Zhang Zhilei pricked up their ears, overhearing the discussions of the old students in the back row.

"The school has a lot of routines, I want to stay at home." Ning Mo complained, "Is the teacher in the rocket class so cunning? List a few questions that we can't solve, just to whet our appetite?"

"I almost fell for it, but I don't think these four questions are good things." Zhang Zhilei nodded, and poked Song He with her elbow, "Old Song, you go up and solve the problems. I respect you for being a man!"

"I'm researching." Song He stared at the topic on the whiteboard in a daze.

Zhang Zhilei couldn't help laughing, "You really study it? Didn't you listen to the old students talking about it later? The difficulty of these four questions is beyond our grasp."

Song He didn't hear it, a comprehension capsule appeared in his palm, and he swallowed it quietly.

Time is running out, we can only increase the dose!

On the stage, Zhai Zhu pressed the remote control, and the PPT courseware popped up on the big screen, officially starting the lecture.

The first PPT is the animation of the famous donut turning into a coffee cup. In the field of topology, the donut has one eye, and the coffee cup has only one eye, and the two can be transformed into each other.

"The structure on a topological space is called spatial topology. All topologies are subsets of mathematical objects, that is, the open set of space. Students don't have to memorize it by rote, just remember that topology and internal open sets can determine the spatial structure ..."

Zhai Zhu opened his mouth and began to explain in a continuous manner.

The atmosphere in the auditorium was suddenly stagnant, and the students present showed embarrassment, as uncomfortable as eating flies.

Obviously every word can be understood, why is it a book when you put it together?

Song He had no expression on his face, and began to focus on two things.

While staring at the math book in his hand, he listened to teacher Zhai Zhu's lecture.

What Mr. Zhai Zhu said was too childish, he had already finished studying at noon, so he listened to it by the way, so as not to miss anything.

The focus is still on the question book, which has a lot of content, and knowledge points plus questions are helpful for understanding key issues.

Comprehension Capsules gradually work!

The knowledge points accumulated in the mind are thriving and growing, sprouting new ones, and gradually forming a continuous forest of knowledge.

The content of Zhai Zhu's lecture was also heard by the ears, which constantly stimulated Song He's thinking, and some vines climbed out of the forest.

Time passed rapidly, more and more vines crossed from one tree of knowledge to another, and wonderful connections began to form.

There was a flash of light in Song He's eyes, come to feel it!

He closed his eyes tightly and began to think intensively.

The hand on the draft paper was clenched unconsciously, and the paper was kneaded into a ball, but he didn't realize that the mathematical forest in his mind was spreading crazily around, and gradually came into contact with the knowledge he had learned.

What is the key to determining the difference between geometry and topology?

Curvature!

Geometrically, the curvature of a fully inflated round balloon is a positive constant, while topologically, a fully inflated balloon is equivalent to an uninflated deflated balloon, and the curvature of the deflated balloon will change with different points on the spherical surface.

Curvature, curvature, curvature... Song He's mind flashed with lightning, and his eyes burst out!

A two-dimensional sphere can be defined, such as setting a center point in three-dimensional space, and forming a set of all points equidistant from the center point. But in addition, it can also be described by means of curvature!

How to describe curvature in physics...Physics is based on differential equations, initially using linear differential equations, an ideal state, like precise geometry. But the real world is not geometric, but topological, and there are often subtle disturbances. At this time, it is the turn of nonlinear differential equations to appear!

Song He suddenly picked up the pen and quickly calculated on the draft paper!

Ning Mo and Zhang Zhilei could no longer understand the lecture and were in a daze. Song He's sudden big movement shocked them both.

"What's wrong Song He?" Zhang Zhilei asked in a low voice.

Song He didn't respond at all, his eyes were fixed on the draft paper, his face was flushed red, the pen in his hand was twitching like a poisonous snake, he quickly wrote a line on the paper, then suddenly retracted, and after a while, he wrote another line violently, and turned back. Repeatedly.

Ning Mo and Zhang Zhilei looked at him anxiously, they had never seen Song He lose his composure so much.

Something big has definitely happened to him!

The two quietly moved their eyes to Song He's draft paper, trying to figure out the arbitrary equations, unknown functions, and independent variables... After thinking about it for a long time, Ning Mo and Zhang Zhilei looked at each other with strange expressions.

I can't understand it at all.

It's not solving problems, but some fragments of formulas that don't match the preamble and the afterword, which are very jumpy, probably for sorting out ideas.

What the hell is he doing?

Song He didn't bring much draft paper, after all, he wouldn't use it under normal circumstances.

So in just a few minutes, he ran out of draft paper and wrote densely.

Zhang Zhilei was very discerning, and decisively tore out a few pages from her notebook, and photographed it for Song He.

Song He didn't even raise his head, and continued to write madly. He didn't even realize how these papers came from, as if the idea appeared at the first thought, like mathematical formulas and weird graphics erupting in his mind!

He continued to write furiously. Due to his agitation, each word was written very large, and the draft paper ran out again!

Ning Mo reached out and contributed the few remaining pieces of paper.

Song He continued to write furiously, and every time he paused after writing a few lines, his hands trembled rapidly. Obviously, his brain was working too fast, but his hands had no time to react, so they kept shaking.

Seeing that the draft paper contributed by Ning Mo was almost used up, Zhang Zhilei turned around and borrowed paper from the old students sitting behind.

"What is he writing?" The old students also noticed the abnormality, and tore off a few pieces of paper and handed them over.

"I don't know, but it seems to be very important." Zhang Zhilei shook her head, thanked her, took the blank paper, turned around and placed it on Song He's desk.

The old students were full of curiosity and secretly looked at the paper on Song He's desk, but they couldn't understand it after reading it for a long time.

When the old students lost interest and looked up, their collective faces turned green, their minds were distracted, and they didn't keep up with the lecture!

Song He didn't know what was going on around him, and wrote like crazy.

One, three, five!

Eight, ten, twelve!

He pushed aside the finished draft paper and threw it away like garbage. Zhang Zhilei silently helped put it away, and read through it with Ning Mo in confusion.

Suddenly, Song He trembled all over, as if being pierced by a strong electric current.

[You have triggered the rare state "Enlightenment"! 】

[Mathematics epiphany detected, from silver level 33 to silver level 60! 】

[You are no longer a mediocre student who memorizes by heart, you have the spirituality to actively break through the mysteries of the world, and you will get a chance to draw ten times in a row]

confirmed!

The tool to effectively link geometry and topology is partial differential equations!

Hormones gushed out of Song He's body like a switch, which was an experience he had never experienced before. The moment he solved the answer, countless entangled knots in his mind seemed to be cut open!

He breathed a long sigh of relief, and looked up at the ceiling light. While his body was excited, his mind was extremely relaxed. He only felt that his thoughts were clear and his heart was like glass.

When the night is quiet and the wind is about to return, there is only a river with bright moon and blue glaze.

Song He frowned, why does it feel like a sage's time?

The get out of class bell rang suddenly.

On the stage, Teacher Zhai Zhu scanned the audience.

"The lecture has just been a third of the way, and there will be two lectures later."

"Give everyone ten minutes of free time to go to the toilet and communicate with each other."

The entire auditorium suddenly relaxed, hundreds of students were slumped on their chairs tiredly, and some students got up to go to the bathroom.

Song He turned his head and looked at the four big questions on the whiteboard on the stage.

His eyes flickered, he got up suddenly, and strode firmly towards the whiteboard.

Ning Mo and Zhang Zhilei stared blankly at his back.

"Fuck, what is he going to do?" Zhang Zhilei opened her eyes wide, feeling something.

"Old Song...don't scare me!" Goosebumps appeared on Ning Mo's arms.

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