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Chapter 37 Terrifying Execution Power

There are many smart people in this world, and many people who clamor that they will work hard, but few people are truly capable of execution. Coincidentally, in the Qiao family, both Qiao Xi and Qiao Yu have strong execution ability.

The intermittently ambitious and continuously idle attitude towards life has nothing to do with either of them.

Once you have made up your mind, the next step is to overcome difficulties and fulfill your mutual commitments.

So after finishing his meal, Qiao Yu took the wine stored at home and walked out of the house.

After running five times, the living room and balcony at home felt bigger.

Yes, while Qiao Yu was moving the wine out, Qiao Xi had already delivered all the wine jars piled up on the balcony to the old lady downstairs who liked to collect various bottles to sell.

Out of sight, out of mind.

"I'm going to study." Qiao Yu said.

"Wait, I have to think of something to do. I can't drink anymore. I can't just stay at home and check my phone every day, right?" Qiao Xi said worriedly.

"Play mahjong?" Qiao Yu suggested.

"No, I don't like it." Qiao Xi shook her head and said, "Well, I'll start learning to cook tomorrow. You study hard, and I'll research recipes for you online. You can also invite Coco to dinner at home on weekends, so don't bring home food from outside in the future."

Qiao Yu hesitated for two seconds, and seemed to recall some not-so-nice scenes in his mind, but he nodded firmly in the end: "Okay! But you have to set an alarm on your phone to ring every five minutes while you cook."

The biggest problem that prevented Qiao Xi from learning to cook was that she would be distracted easily. This also made Qiao Yu know at a very young age that any food would eventually become carbonized after being overheated.

Although carbon is edible, it really doesn't taste good.

But people won't feel bored if they have something to do, and won't think about anything else. Even if it challenges their weaknesses, Qiao Yu feels that they have to support it.

As for him, all he had to do was overcome his fear of difficulty and study hard.

"Okay, I'll remember to set the alarm."

"I'll make it for you."

"Oh!"

……

For others, studying hard may be a difficult thing.

When he arrived at school the next day, Qiao Yu clearly felt that his deskmate seemed to be in a bad mental state.

"What did you do last night?" Qiao Yu asked.

"When I get tired of memorizing words, I just memorize formulas until 1 a.m." Zhou Shuang yawned and answered casually.

It seems that this guy is serious, but I don’t know how long he can last.

Qiao Yu didn't say much, just reminded him: "You still have to combine work and rest." Then he was too lazy to pay attention to this guy.

If you can really hold on for a week, then it means there is still hope.

But it seemed that Zhou Shuang was really into studying. After a brief chat with Qiao Yu, he picked up his English textbook for the second year of junior high school and started to memorize it silently. It was a smart choice. He had an English test in the morning. As the saying goes, sharpening the knife before the battle will make it brighter.

I just hope it's not just an occasional flash of inspiration.

Qiao Yu was too lazy to pay attention to his deskmate's hard work and continued to lie there and catch up on his sleep.

He was also very tired last night, all because he read the book "Introduction to Algebra and Number Theory" that the nice guy gave him.

Maybe it was because of his different mindset. Things that I found difficult to understand before, I found quite interesting when I read them again. For example, the analysis and properties of prime numbers successfully aroused Qiao Yu's interest in mathematics.

This book also briefly discusses the twin prime conjecture and the Riemann hypothesis regarding prime number issues.

This made Qiao Yu unable to help but search the specific contents of the two conjectures in detail, and then he once again felt a desire to worship the former mathematics giant.

These people are really working hard to solve this problem.

For example, in order to prove the twin prime conjecture, contemporary mathematicians have constructed a finite number system. For example, in a finite number system with only 5 elements, 4 plus 3 equals 2. In this system, other operations must follow the same rules.

With this premise, the concept of prime numbers is meaningless. For example, 7 can be directly divided by 3, which is equal to 4. The reason is simple. In this finite field, 7 and 12 are the same, they are both at the 2 position on the clock face.

Through this series of transformations, the twin prime conjecture of finite fields is related to direct prime polynomials. Of course, if you really want to understand this concept, you need to understand what is a prime polynomial and what is a twin prime polynomial...

In short, the emergence of this idea allowed subsequent mathematicians to transform integer problems into polynomial problems, and even the simplest finite field can accommodate infinite polynomials.

Guided by this mode of thinking, each polynomial is imagined as a point in space, and the coefficients of the polynomial are considered as coordinates that define the position of the polynomial. For example, the polynomial x3x1 can be represented by the point (1, -3, -1) in three-dimensional space, and the polynomial 3x + 2x + 2x2x3x + x2x + 3 can be represented by a point in 8-dimensional space.

Using this method, mathematicians proved that the twin prime conjecture is correct in finite fields: there are infinitely many pairs of twin prime polynomials that differ by any interval.

This shocked Qiao Yu greatly. It turns out that mathematics can be played like this...

When there is no tool to solve a problem, build your own.

It's like when you're playing a game and you're stuck at a certain level and can't get through it, the player can turn into a magic weapon maker. As long as he has enough imagination, he can create a stick that can directly deduct 9999 drops of blood from the boss as soon as it hits him...

Of course, the structure of this stick must be reasonable within the overall framework. Isn't this more interesting than playing games?
Especially when Qiao Yu was looking up information and found that prime numbers are closely related to almost all mainstream encryption systems on the modern Internet, it aroused his great interest.

For example, the most widely used RSA encryption algorithm relies on the mathematical property that the product of prime numbers is difficult to factorize. The core of encryption and decryption relies on the Euler function (n) = (p1)(q1) and modular exponentiation.

Simply put, when two large prime numbers p and q are randomly selected and others do not know the values ​​of p and q, it is difficult to calculate (n) from N.

In addition, Diffie-Hellman key exchange and elliptic curve cryptography are also closely related to prime numbers.

In other words, if he could fully master the secret of prime numbers, such as finding a way to quickly factorize prime numbers, it would mean that all the mainstream encryption algorithms of the world's Internet would be ineffective against him. Qiao Yu couldn't even imagine how much money he could make.

Especially in the financial field, digital signatures, authentication, and even blockchain technology, because they rely on RSA/ECC signatures and a bunch of other encryption algorithms, the smart contract system can be tampered with.

Really, after seeing this promising future, the mathematics that he had previously found difficult suddenly became extremely interesting, so he studied until three in the morning last night and still felt full of energy.

If Qiao Xi hadn't gotten up at night and forced him to go to bed, Qiao Yu might have really studied the prime number problem all night long.

Sure enough, learning math well means money!
(End of this chapter)