Chapter 247: Some Strange Attributes
Yandong Garden.
The sizzling sound in the living room disappeared.
Xu Qingzhou was satisfied. He smacked his lips, happily laid out the information, and prepared to continue studying the great mathematical knowledge.
School Beauty Song always looks very feminine whenever she kisses.
One second he was glaring and yelling that he was going to beat someone up, but the next second he was soft, with that lingering look in his eyes.
Song · proud · charming · Yao.
She said no, but she enjoyed it more than anyone else after being forced. Xu Qingzhou thought again, if she kissed him like this when she was angry, would she calm down?
Of course, he was just thinking about it, he wasn't stupid.
If Song Yao was really angry, she would probably break his arm, let alone kiss or hug him.
On the sofa next door, Song Yao was hugging a pillow in a daze, with a faint blush on her fair cheeks. This guy was getting bolder and bolder, but this time there seemed to be an indescribable comfort that made people addicted.
It was similar to kissing Xu Qingzhou in front of many people, nervous and my heartbeat accelerated.
But it's a little different.
Is it
Is it because of half-heartedness?
Song Yao touched her lips and realized. Oh, it turned out that this was wrong, because she didn't want to do it at first, and she resisted and threatened to beat him, but she was still "forced"
Then I felt very excited.
Thinking about it this way, she found herself to be a bit weird. Why did she like Xu Qingzhou to be tough on her?
Seeing Song Yao sitting on the sofa, her eyes twinkling, not knowing what she was thinking, Xu Qingzhou teased: "Are you still savoring it?"
"I dislike you." Song Yao said in a muffled voice, still struggling with her strange hobby.
Xu Qingzhou reminded slowly: "You stuck out your tongue first."
"Xu Qingzhou!" Song Yao raised the pillow to hit him, but she didn't throw it in the end because she was worried that the pillow would fall to the ground and get dirty.
Write it down in the account first and sort it out later.
"Okay, I'll shut up." Xu Qingzhou saw the situation and knew that he would be beaten if he continued to talk bad. The cold and aloof school beauty Song was gone forever.
Song Yao glared at her boyfriend threateningly, but it was also because of this that she suddenly thought of what Jiahui had told her before - the M attribute.
I just like being fucked.
No no no, impossible.
Song Yao felt her face getting a little hot, so she fanned herself with her hands to stop this dangerous thought, and then she lied to herself and said, "I'm normal, Xu Qingzhou is the abnormal one, and I've just been slightly affected."
Xu Qingzhou looked strange: "Are you hot?"
"It's all your fault."
"???"
Xu Qingzhou was a little confused.
Song Yao frowned, walked into the bathroom in slippers, rinsed her mouth, and sat opposite Xu Qingzhou to read a book. But after reading for a while, she felt the boy's foot poking her leg.
She was too lazy to pay attention to him and just wanted to calm down.
But soon, the other's hoof stretched out again and rubbed her calf again and again.
Song Yao raised her head and glanced at Xu Qingzhou calmly, "If you move again, I'll chop off your feet."
On the other side, Xu Qingzhou felt it necessary to reconfirm the date.
Tuesday, June 6th.
These days, when she is far away from home and has no shops nearby, are far from the time when her period comes and goes.
She looked so happy just now, but now her emotions are fluctuating greatly.
Xu Qingzhou asked helplessly: "Guo Ziyang and Ding Jiahui will come over on Saturday, and we will cook hot pot at home?"
"Yeah." Song Yao nodded.
"They will arrive at 1:00 pm, so let's go shopping together then."
"Okay." Song Yao said nonchalantly.
"."
Xu Qingzhou's expression was serious, and he said in a deep voice: "There is another very important question."
Seeing Xu Qingzhou being so formal, Song Yao stopped writing and looked up at him.
"Is your menstrual cycle disrupted?"
hiss~
There is murderous intent!
In the next few days, before the Dragon Boat Festival, Xu Qingzhou spent all his time in the library, devoting himself to the proof of the Polignac conjecture.
However, to Xu Qingzhou's surprise, he received a call from Professor Zhao Shengwen on Thursday. Outside the library, Xu Qingzhou exhaled and shielded his hands from the scorching sun at 2 o'clock. It was June and the weather was a bit hot, and even staying in the living room was a bit stuffy.
He simply bought a fan to blow away the heat when it was hot.
When the weather gets a little warmer, I can apply to move to School Beauty Song’s room to enjoy the air conditioning.
While thinking happily, Xu Qingzhou walked to the shade of the big tree in front of the library and called Professor Zhao back.
"Xiao Xu, did I disturb you?" Zhao Shengwen's voice came from the receiver.
"No, just taking a break." Xu Qingzhou replied.
Zhao Shengwen smiled and said, "I heard from Professor Chang that you have done a lot of great things in the Quantum Research Institute."
"It's just a small achievement, not worth mentioning." Xu Qingzhou said modestly.
"Your mature mentality is worthy of being brought up by Lao Gu, it's exactly the same as Lao Gu's."
Xu Qingzhou agreed and smiled.
Zhao Shengwen: "I won't beat around the bush. The data from the first phase of our research group has come out, but the results are not particularly ideal. We need to find someone to help analyze it. It would be best if we could come up with a complete theoretical model."
"I just wanted to call you to ask you something. We are old acquaintances. But I know you are busy with the Polignac conjecture. If you are too busy, I will ask Lao Gu."
Xu Qingzhou certainly wouldn't refuse: "I don't have any problem here, I'll come over whenever you need me."
"Tomorrow morning, 9 o'clock."
"it is good."
After hanging up the phone, Xu Qingzhou let out a long sigh. What he thought came true. A few days ago, he was still thinking about how to get a chance to do an experiment.
Returning to his seat in the library and taking a sip of water, he turned his attention to the conjecture: for all natural numbers k, there exist infinite pairs of prime numbers (p, p+2k).
Polignac conjecture, also known as the generalized twin prime conjecture.
With the addition of the word "broadly speaking", the difficulty of proving or falsifying increases sharply.
It's like trying to find a needle in a lake, but now the lake is suddenly replaced by the sea, and it becomes a real search for a needle in a haystack.
Xu Qingzhou narrowed his eyes and returned his attention to the speculation on the number of twin primes. Here, he made another correction and used π2(x) to represent the number of twin primes that does not exceed x.
Thinking about it, he picked up his pen and wrote down a row of formulas.
【π2(x)=#{p≤x:p+2 is prime}】
In this way, the necessary and sufficient condition for the twin prime conjecture is that π2(x) is strictly monotonically increasing.
At this point, asymptotic formulas become more important.
【π2(x)Kxlog2x. 】
Next, we can try to find a specific expression for K.
By piecing together, we first make the product on the right side of (9) a convergent quantity, that is, we need to find a product ∏3≤p≤xf(p) with a known asymptotic expansion so that the product ∏p≥312/pf(p) converges.
Finally, by using the properties of logarithmic functions, we can transform the problem into proving the convergence of the expression.
After thinking it through, Xu Qingzhou stopped wasting time and started writing.
This means that when n≤Pz, we have:
【π2(Pz，z)=∏.3≤p≤z(p2)=Pz2∏3≤p≤z(12p)】
The expression of K is:
【K=2∏p≥312/p(11/p)2=2∏p≥3[11(p1)2]】
At this point, Xu Qingzhou has completed the first step. The next step is to refine the core method that he used to explore the distribution of prime numbers and twin primes, and obtain the original form of the sieve method to prove the Polignac conjecture.
We will complete it on this basis in the hope of obtaining a new and more powerful screening method.
According to his previous habit, Xu Qingzhou first went over all the calculation steps during this period. Only when he had a clear and complete outline in his mind did he begin to think about where to start.
First, we simplify the sieving method. Based on the sieving method of the twin prime theorem, we introduce complex analysis and L-function in analytic number theory, as well as techniques from combinatorial mathematics, algebraic geometry and other fields to construct a tool that is powerful enough to accurately screen prime numbers.
At the same time, an efficient algorithm must be developed to assist in calculations so that large-scale data can be processed quickly and the efficiency and accuracy of the screening method can be improved.
This may require the use of the supercomputing resources of the supercomputing center.
At this point, Xu Qingzhou temporarily put away the information on Polignac's conjecture, and called up the paper on lithium-ion batteries that he had not yet finished reading. He had been working on it for two days and was indeed a little tired now.
Too much is as bad as too little. If you keep calculating, you will easily get stuck in a dead end. Moreover, proving a hypothesis cannot be accomplished overnight. You still need to combine work and rest.
(End of this chapter)
