Chapter 37 Terrifying Execution Power
There are many smart people in this world, and there are many people who claim that they will work hard, but there are very few people who are truly capable of executing. Coincidentally, in the Qiao family, both Qiao Xi and Qiao Yu have very strong execution skills.
The attitude towards life of being intermittently complacent and constantly eating and waiting to die has nothing to do with either of them.
As long as you make up your mind, the next step is to overcome difficulties and fulfill your mutual commitments.
So just after eating, Qiao Yu took the wine stored at home and walked out of the house.
After five trips, the living room and balcony at home felt a lot bigger.
Yes, while Qiao Yu was carrying the wine out, Qiao Xi had already sent all the wine cans piled up on the balcony to the grandma downstairs who liked to save all kinds of bottles to sell.
If you can’t see it, your mind won’t be bothered.
“I’m going to study.” Qiao Yu said.
"Wait a minute, you have to find something for me to do. I can't drink anymore. I can't just stay at home and check my phone every day, right?" Qiao Xi said distressedly.
"Play mahjong?" Qiao Yu suggested.
“I won’t go, 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 online for you. You can even order Coco on the weekends. Come to eat at home, so don’t bring back food from outside in the future.”
Qiao Yu hesitated for two seconds, seeming to recall some not-so-good scenes in his mind, but finally nodded firmly: "Okay! But when you are cooking, you must set an alarm on your phone to ring every five minutes. ”
The biggest problem that hinders Qiao Xi from learning to cook is that she gets distracted easily. This also made Qiao Yu know at a very young age that the final destination of any food material after being overheated is carbonization.
Although carbon is edible, it really doesn’t taste good.
But people don't get bored when they have something to do, and don't think about all kinds of things. Even if it challenges one's own weaknesses, Qiao Yu feels that he has to support him.
As for him, it is nothing more than overcoming his fear of difficulties and studying hard.
"Okay, I will remember to set the alarm clock."
"I'd better set it for you."
"Oh!"
...
For others, studying hard may be a very difficult thing.
When he arrived at school the next day, Qiao Yu clearly felt that his deskmate's mental state was not very good.
"What did you do last night?" Qiao Yu asked.
“When I get tired of memorizing words, I memorize formulas until 1 o’clock in the morning.” Zhou Shuang yawned and answered casually.
It seems that this guy is serious, but he doesn't know how many days he can last.
Qiao Yu didn't say much, just reminded: "We still need to balance work with rest." Then he didn't bother to pay attention to this guy.
If you can really persist for a week, it means you are really saved.
But it seemed that Zhou Shuang was really struggling with his studies. After a brief chat with Qiao Yu, he picked up the English book for the second grade of junior high school and started memorizing it silently. It was a very smart choice. I was about to take the English test in the morning. As I said, if you sharpen your sword before the battle, you will lose all your unhappiness.
I just hope it's not an occasional flash of inspiration.
Qiao Yu didn't bother to pay attention to his deskmate's studies and continued to catch up on his sleep.
He was also very tired last night, all because he read the "Introduction to Algebra and Number Theory" given to him by the good old man.
Probably due to a different mentality, things that I found difficult to understand before turned out to be quite interesting when I looked at 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 Riemann's conjecture regarding prime numbers.
This also made Qiao Yu couldn't help but search in detail for the specific contents of these two conjectures, and then once again felt a desire to worship the former mathematics master.
These people are working really hard to solve this problem.
For example, in order to prove the twin prime number conjecture, contemporary mathematicians constructed a finite number system. For example, in a finite number system with only 5 elements, 4 plus 3 equals 2. Under this system, other operations must follow the same rules.
With this prerequisite theorem, the concept of prime numbers is meaningless. For example, 7 is directly divisible 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 a prime polynomial is and what a twin prime polynomial is...
In short, the emergence of this idea allowed later 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 regarded as coordinates that define the position of the polynomial. For example, the polynomial x3x1 can be represented by a 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.
Through this method, mathematicians proved that the twin prime conjecture is correct in finite fields: there are infinite pairs of twin prime polynomials that differ by any interval.
This shocked Qiao Yu. It turns out that mathematics can be played like this...
When there is no tool to solve a certain problem, just make it yourself.
This is just like when playing a game and you are stuck at a certain level and can't pass it. The player can become an artifact builder. As long as he has enough imagination, he can create an artifact that can directly deduct 9999 drops of blood as long as he touches the BOSS. Stick...
Of course, the structure of this stick must be reasonable within the larger framework. Isn’t this more interesting than playing games?
Especially when Qiao Yu checked the information and found that prime numbers are closely related to almost all the mainstream encryption systems of the modern Internet, it aroused his great interest.
For example, the most widely used RSA encryption algorithm. It relies on the mathematical property that the product of prime numbers is difficult to factor. The core of encryption and decryption relies on the Euler function (n) = (p1) (q1) and modular exponentiation.
To put it simply, 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 can fully master the secrets of prime numbers, such as finding a way to quickly factorize prime numbers, it means that all the mainstream encryption algorithms on the world's Internet will be ineffective against him. What the hell? Qiao Yu simply couldn't imagine how much money he could earn.
Especially in the financial field, digital signatures, certifications, and even blockchain technology rely on RSA/ECC signatures and a bunch of other encryption algorithms, so the smart contract system can be tampered with.
Really, after seeing this promising future, mathematics that he thought was difficult before suddenly became very interesting, so he studied it until three in the morning last night, still feeling energetic.
If Qiao Xi hadn't woken up at night and forced him to go to bed, Qiao Yu might have actually studied the prime number problem all night long.
Sure enough, learning mathematics well is money!
(End of this chapter)