Chapter 251 Subconscious actions are the most deadly
At 10 o'clock in the evening, night has already fallen. Outside the window, there are dots of lights. The hustle and bustle of the day is replaced by the low hum of insects at night, and the world seems to be quiet.
At this time, the small party in the house ended.
The two girls were sitting comfortably on the sofa watching TV. The second cat was lying in his nest and refused to come out. Suffered all kinds of "torture".
Xu Qingzhou and Guo Ziyang were cleaning, one washing the dishes and the other sweeping the floor.
After Xu Qingzhou packed up his things, he discovered that Ding Jiahui had gone to rob the second meow again, and Guo Ziyang followed behind him. The two of them poked at the second meow, causing the second meow to scream resentfully for a long time.
Seeing that Xu Qingzhou had just finished washing the dishes, Song Yao moved her butt to leave room for him. Then, she raised her feet and wanted to put it into Xu Qingzhou's arms.
Xu Qingzhou also stretched out his hand cheerfully.
“You?”
Ding Jiahui’s voice stopped the two people’s movements, and they suddenly thought that there seemed to be two light bulbs at home.
Guo Ziyang looked at the two of them with the same confusion.
The air is a little solid.
It’s over, subconscious actions are the most deadly.
Song Yao reacted quickly and kicked Xu Qingzhou with a cold expression, "This is Jiahui's position."
"Oh, okay."
Xu Qingzhou nodded cooperatively and pulled a chair from the side to sit on.
"Yao Yao~" Ding Jiahui was very moved, and came over to throw herself at the school beauty Song, "I know that in your heart, I am still important!"
Xu Qingzhou let out a long breath, okay Danger, almost exposed. Looking at the two girls who were tired of each other, he was a little bit speechless. Among the girls, Ding Jiahui was probably the only one who could be so intimate with Song Yao.
Guo Ziyang also pulled a stool over. After sitting down, he wiped his sweat and said, "It's a little hot."
"Yes, it is indeed a little hot."
After Ding Jiahui finished speaking, she looked at Xu Qingzhou: "Xu Qingzhou, does your room have no air conditioning?"
She had just seen Xu Qingzhou's room, which was not as big as her sister's room and did not have air conditioning. This undoubtedly showed that Xu Qingzhou knew how to I feel sorry for my girlfriend.
I’m getting more and more addicted.
"No." Xu Qingzhou nodded.
Guo Ziyang said: "Kyoto is still very hot in summer, right? Can you bear it without air conditioning?"
"I'm more afraid of the cold. It'll be okay if it's warmer." Xu Qingzhou said against his will. In fact, it has indeed become hot during this period, and he can't stay alone without turning on the fan.
Ding Jiahui sighed with emotion next to you, "I envy you for not being afraid of the heat. Just this month, I feel a little hot. Our dormitory will turn on the air conditioner at night."
Guo Ziyang thought for a while, She wondered: "Why do I remember that what you hated most was the heat, and you would die every time it came to summer."
Song Yao looked at Xu Qingzhou with indifferent eyes, as if waiting for his explanation.
I don’t know if it was an illusion, but Xu Qingzhou felt that there was a meaning in this girl’s eyes: “I will just watch you perform quietly.”
Has it been seen through?
At this moment, even Xu Qingzhou, an old comrade, was a little unsure. Sometimes, this girl's aloofness was just a disguise, but she was actually a ghost.
For example, the last time she went to Jinling, she sent herself a photo of the second cat. Oh, it was just fishing.
However, no matter what, there is no reason to stop in the middle of the play.
Xu Qingzhou said bravely: "People will change. Moreover, that summer in Chengdu was hot and boring, but it was still different here in Kyoto."
"Yes." Ding Jiahui nodded, as if thinking of something big, "By the way, Yaoyao, let's put together a bill to buy eye cream. I saw a set a few days ago."
Song Yao didn't look at it again. Xu Qingzhou nodded: "Okay."
"One full size 18g, five 30g samples, 100ml lotion, and eye mask."
Ding Jiahui muttered something.
Xu Qingzhou and Guo Ziyang glanced at each other. Yes, take the number.
It was almost 12 o'clock. After everyone washed up briefly, said good night and went back to their houses to rest.
On the second day of the Dragon Boat Festival holiday, the four of us visited the Peking University campus in the morning, took a bunch of photos, and had a meal in the farm cafeteria at noon.
This month, the sun at noon was already a bit fierce and very hot. We didn’t have the intention to continue walking. We agreed to go out to play when we had time next time and went back.
Metro station.
Xu Qingzhou held an umbrella and watched the backs of Guo Ziyang and his wife disappearing around the corner of the subway station. He thought to himself, next time he must remind Guo Ziyang not to let your girlfriend miss my girlfriend every day.
“Let’s go.” Song Yao yawned and held Xu Qingzhou’s hand.
Xu Qingzhou turned his head and saw that Song Yao's face seemed a little sleepy, "Didn't you sleep well last night?"
"Yes." Song Yao nodded, sighed and said: " Jiahui shouted to hold me to sleep, a little uncomfortable."
Xu Qingzhou said with a smile: "Then you have to get used to it early."
Hehe, after all, two people have to sleep in the future.
Song Yao was stunned for a moment, then quickly understood what Xu Qingzhou meant, her eyes darkened, and her hands were already on Xu Qingzhou's waist.
"I have to be fit too. Hiss~" At this point, Xu Qingzhou's fantasy was quickly broken by pain.
Song Yao snorted and ignored him, thinking about what happened last night. Not only did she fall asleep in her arms, she was also pulled by Ding Jiahui to compare her growth.
Then, Ding Jiahui was shocked and worried about why she was still the same as she graduated, with no progress, so she asked Song Yao for the secret.
Tips for growing up?
Song Yao secretly exhaled and looked down at her bulging chest. It was not as flat as before, and more of her sight could be covered.
When I got home, I could only say that drowsiness was contagious. Xu Qingzhou couldn't hold it back and got into the bedroom to take a nap.
At 2:30, when Xu Qingzhou got up, Song Yao was already writing furiously. He did not waste time, turned on the computer and took out the manuscript paper on which he had previously calculated.
The second cat was lying on the sofa, dozing off with his eyes squinted. Xu Qingzhou finally discovered that this lazy cat was like this during the day, but became very energetic at night. Today, he was particularly sluggish during the day, probably because of Ding Jiahui's torment. Enough.
The vacation was already halfway over, and he wasn't going to spend all his time helping Professor Zhao and the others build models. Maybe he thought he was busy. Professor Zhao said before that it could be done within two weeks.
The Dragon Boat Festival holiday is over, Tuesday.
Xu Qingzhou was making conjectures in the library. Opposite him, the school beauty Song went to class. Computers and books were placed here.
During the vacation, he had completed the plan and started the first step of work to construct a suitable sieve method and use the sieve method to find the distribution pattern of prime numbers.
The direction is there, but the specific work is quite complicated.
Xu Qingzhou is currently citing the double integral method in the elementary proof of the prime number theorem, and wants to supplement the sieve method.
In the process of screening the number of twin prime numbers, the prime number theorem is basically not used, but you can borrow some mathematical tools to experiment for your own purposes.
Of course, in addition to the double integral method, Hua Luogeng and Selberg also gave other very hard-core prime number proof methods, but Xu Qingzhou did not use them.
Through smoothing, the S obtained first is a Lipschitz continuous function. Then, we can consider converting (5) into integral form.
Using the monotonicity of logarithmic functions.
[logm≤∫mm+1logudu
|S(ym)|logm≤∫mm+1|S(ym)|logudu]
Here, replace =m with u.
[∑m≤y∫.m≤ym+1m(m+1)=y∑m≤y1mylogy]
Half an hour later, Xu Qingzhou squinted and saw two more pictures in front of him A piece of paper filled with calculations.
At this point, we can get a≤1, and then we can get a formula for supplementing the distribution law of prime numbers: liminfx→∞π(x)logxx≤1≤limsupx→∞π(x)logxx.
(End of this chapter)