Abnormal crossing

Chapter 68 Learn math, physics and chemistry well, and you won’t be afraid to travel around the world (please give me a monthly ticket!!!)

"."

Hearing Gu Wei's question, Big Eyes was silent for a while:

"If my deduction is correct, the second half of your sentence can actually be equivalent to one of the results of the first half."

One of the results?

Gu Wei glanced at the thorny object in the distance and said, "You mean, if we kill that thing, we can rescue the captain and the others?"

"To be precise, we just need to prevent it from coming, because the essence of transcendental attack is actually to construct a transcendental space," Big Eyeball explained, "and this essence has a basic logic - there is always a certain distance between algebraic numbers and rational numbers, so if it is proved that a number can be infinitely close to a rational number, then it must be a transcendental number."

"The so-called 'infinite approach' here refers to the 'position' of the person or object attacked by the transcendental number - they are stuck in the process of proof."

Gu Wei's eyes suddenly fixed.

So this is what the transcendental attack is?

He thought that the wave space where the spacecraft was at that time was inside the transcendental number framework, but he didn't expect that the actual location was actually the proof process of transcendental numbers?

This is like the railway from the capital to the Magic City.

Gu Wei originally thought that the spacecraft was embedded in the high-speed rail track, but Big Eyes' explanation was that Milo and others had become trains that traveled back and forth on the railway endlessly.

Then the big eyeball paused and continued, "The location of this [Infinite Approach] area is difficult to define from the perspective of transcendental space, but if you look at it from the perspective of numbers, you will find that the twelve symbols that trap everyone in transcendental space conform to another logic."

"That is, these twelve symbols are all algebraic numbers, and any of them are neither zero nor one. At the same time, their falling trajectories are 'shuttles'. This discontinuous behavior means that they are not rational numbers in mathematics."

This time.

Before Big Eyeball finished speaking, Gu Wei blurted out: "Gelfond-Schneider Theorem?"

Big Eyed was stunned when he heard this: "What did you say?"

"Nothing, nothing." Gu Wei shook his head and didn't explain too much about his background. "I mean, I roughly understand what you mean."

It turns out to be the Gelfond-Schneider theorem.
The Gelfond-Schneider Theorem was a very famous mathematical theorem before Gu Wei traveled through time, and its content is very simple:
If a and b are complex algebraic numbers, a≠0, and b is not a rational number, then a^b must be a transcendental number.

The Gelfond-Schneider theorem is a typical framework for constructing transcendental numbers. At the same time, the transcendental numbers constructed by the Gelfond-Schneider theorem can definitely be inferred from the random measure of order K. The above sentence is very complicated to explain. In layman's terms,
It is very difficult to locate your position with the naked eye by looking at the environment outside the window on a high-speed train, but if you jump out of the train and look down from a high altitude, it is easy to find the position of the train.

Then, as long as the entire railway track is destroyed, the train on the track can be stopped naturally - although this statement is a little bit hellish
anyway.

Is it so difficult to kill a monster without knowing a little math these days?
"."

Then Gu Wei looked at the situation in the distance again. At this moment, the thorny object had already penetrated about halfway. "Big Eyeball, tell me, how do we do it?"

"To put it in a nutshell, just smash the alien life's head," Big Eyes thought for a while, "but it's very difficult to actually do it."

Gu Wei glanced into the distance and asked, "Why is it so difficult?"

"Because you can't do it randomly. You have to smash its head according to a certain rule," Big Eyeball said quickly, "Otherwise you will repeat the dilemma that Milo and the others encountered - the alien life was sieved, but the entire descent process was not affected at all, because the rules of this descent are not algebraic numbers."

Just as Big Eyeball said. No matter what level of civilization you have developed, the number system you commonly use must be derived from algebraic numbers - because the first mathematical step any civilization comes into contact with must be addition and subtraction, and addition and subtraction must be written out as algebraic numbers.

Even if you are a silicon-based life form, a metal life form, or even a spirit, you cannot escape this framework.

It is like when you look up at the sky in the primitive stage, the first thing you see may only be stars. As for concepts such as black holes and neutron stars, they may not be born or recognized until a long time later.

Before Gu Wei traveled through time, there was also a corresponding mathematical description of this aspect, called Gödel's incompleteness theorem.

This theorem can be understood after processing:

If you randomly poke your finger on the complex plane, there is a 99.9999% chance that the number you poke is a transcendental number.

But as long as you take a pen and want to do calculations, then this process must fall into the category of algebraic numbers.

On this basis.

The weapons developed from this framework can naturally only be of algebraic properties.

Using an algebraic number framework to attack transcendental numbers is like using your fist to hit an annoying villain in a movie. Even if you smash the screen into pieces, the villain will not be hurt at all.

If you want to eliminate this villain, you can only use another rule to solve it - for example, you don't smash the screen, but contact the screenwriter or director through the phone and ask him to kill the villain in the subsequent work, etc.
Strange metaphor added .JPG.

Then the big eyeball paused, and tried to control the intelligent brain to display a schematic diagram in front of Gu Wei:

"The irregular head of the alien life form can be regarded as an extended complex plane (Riemann sphere), and the real and imaginary axes inside are compactified through periodic boundary conditions, which are specifically manifested in the vertical pupils."

"Choose two vertical pupils as far apart as possible, make a simple closed curve, and then do an analytical extension to extend the gamma function to a meromorphic function on the entire complex plane. You can find that it has single poles at these positions."

As he spoke, a few small spots of light flashed on the head of the alien life form in the picture, and then they were quickly connected into a line along a certain trajectory.

"There are six points in total, which is not too many but not too few either," Big Eyeball concluded after making the diagram. "As long as you break through these six points one by one according to the order I divided them, although you may not be able to kill the thorn monster above, you will at least be able to terminate the ritual and rescue Milo and the others from the transcendental frame."

Gu Wei nodded slightly.

Just one of the limbs of the thorn monster has such length and formation. If its true form is really the cylindrical monster that Gu Wei had seen in his dream, then with Gu Wei's current abilities, there is no way he can kill it.

But to put it another way, with the existing conditions, there is still a chance to terminate this ritual before such a tentacle descends.

After thinking this through, Gu Wei no longer hesitated and immediately prepared to act according to Big Eyes' plan.

"correct."

As Gu Wei was silently memorizing the attack route, he suddenly realized something:

Now that the plan has been finalized and the people or mechas are ready,
Where are the weapons?
The Angler's Fury seems to have only one primary weapon available besides some standard light ammunition.
Pump gun!

Note:
This is the third update today. I slept for a few hours and stayed up all night to write and update!

So there may not be any updates tomorrow morning, but you will definitely be able to see it when you wake up in the morning. Please give me double the monthly votes! ! ! !

(End of this chapter)