Genius of the Rules-Style System

Chapter 579: 337

"A single point, creating ripples, making the entire surface, the entire shape, everything, no longer calm."

"The changes caused by the influence of this point are unbridgeable, unless the point disappears, and all the changes originate from this point..."

"So, why not build a proof around this point and simplify the complex problem?"

Zhao Yi sat at the table, deep in thought, grasping the inspiration he got from Qian Zhijin, and he was researching how to use topology to solve Fermat’s Last Theorem.

Previously, he had designed a Fermat’s Last Theorem function with a fixed n-value, its corresponding three-dimensional surface, and its corresponding inversion surface. When combined in the forward and reverse directions, a brand new three-dimensional figure was formed.

Carrying out a topological analysis on this new figure could lead to some interesting conclusions, but to prove Fermat’s Last Theorem, it seemed that something was still missing.

Now he found the missing thing—a crucial point.

He added a point with a ’natural number value’ in the center of the figure and introduced the concept of "smooth numbers". That is, verifying whether the points with ’natural number values’ could appear on the surface. The verification method was to perform a topological analysis, and then determine its smoothness.

Take the simplest example, a donut cannot turn into a sphere in topology. No matter how small the central ring is, it will definitely exist. But if a small channel connected the inner and outer rings forming a depression like a sphere being pinched, it would no longer be a donut.

Now the task was to verify whether the ’channel’ existed. If it did, the verification result would be ’smooth’; if not, it would be ’not smooth’.

Clearly.

If the point with a ’natural number value’ could be proven to be smooth, it would indicate that Fermat’s Last Theorem did not hold; otherwise, it did.

Zhao Yi organized his proof thoughts, took a deep breath, got up, and began to feel hungry. He decided to have a big meal and then enter a focused research mode.

He called Qian Hong to join him.

He asked Qian Hong to join him for two reasons: one was that he didn’t know how long his focused research would last and wanted her to help with the meals and take care of him; the other was to inquire about the progress of "Particle Boundary Theory."

The latter was very important.

While doing research, it was necessary to pay attention to making money as well. Publishing books and earning copyright fees were the most ’cultivated’, ’high-end’, and ’scholarly’ ways to make money. How could he not care about it?

People live in the world to make money!

That is the most fundamental thing.

When Qian Hong was invited to a big dinner at a very high-end restaurant near the school by Zhao Yi, she was excited and looking forward to it. But as soon as they entered the restaurant, she was asked about the progress of her book.

She suddenly felt discouraged and said, "Zhao Yi, Professor Zhao, Big Zhao... I’ve been working so hard!" frёeweɓηovel.coɱ

"So, how come...?"

Zhao Yi hesitated but still cited a positive example, "I remember Brother Chao spent only about two and a half months writing "Screening Method" while also designing an automatic shopping system with me."

"...Can I compare with Xu Chao?" Qian Hong took a deep breath and protested angrily, "He is a computer scientist and writes computer books, something he enjoys. I write about theoretical physics! It’s mathematics, mathematics!"

As she spoke, she became more and more frustrated, "I spend several hours on it every day, but I simply cannot understand those complicated mathematical frameworks. Most of the time, I just place things there without actually understanding it all, and then I have to consider whether it’s suitable or not..."

"Do you know what it’s like for someone who doesn’t understand to write a very professional book?"

"What does it feel like?" Zhao Yi really didn’t quite understand.

"Stupid. I feel very stupid, extremely stupid. I feel like I was born to be stupid, an idiot!" Qian Hong said as she vigorously scratched her scalp, but not a single hair fell out.

Zhao Yi reached out and scratched her scalp roughly, too.

"What are you doing?" Qian Hong suddenly looked up, her face full of confusion.

Zhao Yi calmly explained, "I’m helping you. You’ve been trying to pull it out for so long."

"...Get lost!"

As the word left her mouth, Qian Hong suddenly laughed.

Zhao Yi shook his head and smiled, "Okay, I won’t push you. Let me tell you something good."

"What’s the good news?"

"That is, I’m about to start researching something, and it will take quite some time. So, during these days, the meals..."

"Leave it to me!" freēwebnovel.com

Qian Hong patted her chest as if receiving an important task, then immediately reacted with annoyance, "How is this good news?"

"That’s why I invited you to a big meal!" Zhao Yi said with a laugh.

Qian Hong pouted unwillingly and dived into the food, eating without stopping until she couldn’t help but burp.

...

That very day, Zhao Yi plunged himself into the staff dormitory and didn’t go out for three consecutive days.

He had figured out the proof ideas for Fermat’s Last Theorem, and there were still many details to be improved. However, with the general ideas in place, working through the details became relatively simple, as the "Connection Law" could play an important role.

This time, his proof was much smoother than the Goldbach Conjecture, as he had already figured out the general ideas and direction, and simply needed to follow them.

At first, his proof speed was very fast. Once he started causal thinking, he almost never stopped writing and recording. It took him only about five hours to complete all the proofs. However, the content on the drafts could not be directly transferred into the paper, and the remaining time was spent organizing the proof content.