Chapter 251: The Most Fatal Actions Are Unconscious Ones

At 10 p. m., night had long fallen; outside the window, lights glimmered here and there, the daytime clamor replaced by the low hum of nocturnal insects, the world seeming to grow quiet.

At this hour, the small gathering inside the room ended.

Two girls sat comfortably on the sofa watching TV; Er Miao lay curled in her nest, unwilling to come out—she wasn't shy, but the two new two-legged beasts were too enthusiastic, and every time they caught her, they subjected her to all sorts of "torture."

Xu Xu Qingzhou and Guo Guo Ziyang cleaned up, one washing dishes, the other sweeping.

When Xu Xu Qingzhou finished tidying up, he noticed Ding Ding Jiahui had gone to pet Er Miao again; Guo Guo Ziyang trailed after her eagerly, both of them poking and prodding Er Miao, causing the cat to let out a long, mournful meow.

Seeing Xu Xu Qingzhou had just finished washing dishes, Song Yao shifted her butt slightly to make room for him, then casually lifted her foot, aiming to tuck it into his lap.

Xu Xu Qingzhou smiled and reached out happily.

"You two?"

Like last time in Nanjing—she sent him photos of Er Miao. Ha, just fishing.

Read! {

Xu Xu Qingzhou gritted his teeth and said: "People change. Besides, that summer in Rongcheng was hot, sure, but also stifling—this side of Beijing is different."

【logm≤∫mm+1logudu|s(ym)|logm≤∫mm+1|s(ym)|logudu】

Had she seen through him? At this moment, even this old comrade Xu Xu Qingzhou felt uncertain—sometimes, this girl's aloofness was just an act; in truth, she was cunning as a fox.

Damn it, the most deadly actions are the unconscious ones.

"One 18g full-size, five 30g samples, 100ml lotion and cream, and eye masks."

Song Yao sniffed, ignoring him, lost in thoughts of last night—not only had she slept hugging him, but Ding Ding Jiahui had dragged her into comparing their development.

Hehe, after all, they'd be sleeping together from now on.

"Yeah, it's gotten a bit hot."

Xu Xu Qingzhou smiled: "Then you'd better get used to it soon."

The Dragon Boat Festival holiday ended; it was Tuesday.

The air felt thick.

Xu Xu Qingzhou was currently applying the double integral method from the elementary proof of the prime number theorem, aiming to supplement sieve theory.

This month, the midday sun had grown harsh and scorching; no one felt like wandering anymore, they agreed to meet again another time, and each went home.

Xu Xu Qingzhou was working on his conjecture's calculations in the library; across from him, Song Song Yaocai attended class, leaving her computer and books behind.

Xu Xu Qingzhou exhaled deeply—close call, almost exposed. Watching the two girls cuddled together, he winced; among girls, only Ding Ding Jiahui could be so affectionate with Song Yao.

!.

"No." Xu Xu Qingzhou nodded.

Song Yao's calm eyes fixed on Xu Xu Qingzhou, as if waiting for an explanation.

Song Yao first froze, then quickly understood Xu Xu Qingzhou's meaning; her gaze darkened, her hand already resting on his waist.

Through smoothing, we first obtain s as a Lipschitz continuous function; then we can consider transforming (5) into integral form.

"Let's go." Song Yao yawned, linking arms with Xu Xu Qingzhou.

Guo Guo Ziyang pulled over a stool, sat down, wiped his sweat, and said: "It's gotten pretty hot."

The prime number theorem is hardly used in the twin prime sieve process, but certain mathematical tools from it can be borrowed to test one's own purposes.

"True." Ding Ding Jiahui nodded, as if struck by a sudden thought. "By the way, Song Yaoyao, let's buy eye cream together—I saw a set a few days ago."

Guo Guo Ziyang stared at the two, equally puzzled.

The secret to growing up? Song Yao silently exhaled, glancing down at her chest—no longer flat, the visible area had grown larger.

But no matter what, once the play had begun, there was no stopping halfway.

"I need to get used to it… Si ~" At this moment, Xu Xu Qingzhou's fantasy shattered under sharp pain. During the holiday, he'd finished his plan and begun the first step: constructing a suitable sieve and using it to find patterns in prime distribution.

Getting more addictive by the minute.

At 2:30 p. m., when Xu Xu Qingzhou woke up, Song Yao was already scribbling furiously; he wasted no time, turned on his computer, and pulled out his previous calculation notes.

Song Yao reacted swiftly, kicked Xu Xu Qingzhou, her expression cold: "This is Ding Jiahui's spot."

Xu Xu Qingzhou and Guo Guo Ziyang exchanged glances. Right, sign up.

Er Miao lay on the sofa, eyes half-closed, dozing off; Xu Xu Qingzhou had realized now—this lazy cat spent her days like this, but at night she was full of energy. Today she was unusually lethargic—probably exhausted from Ding Ding Jiahui's tossing about.

"Oh, okay."

"I'm more sensitive to cold; a little heat doesn't bother me." Xu Xu Qingzhou lied—he'd actually been sweltering lately, couldn't even sit still without a fan.

Then Ding Ding Jiahui was struck down, distressed that her own development remained unchanged since graduation, and asked Song Yao for the secret.

Was it his imagination, or did Xu Xu Qingzhou sense in this girl's eyes a look that said: "I'm just quietly watching you perform."

The second day of the Dragon Boat Festival holiday, the four of them toured the Peking University campus in the morning, took a pile of photos, and ate lunch at the Nongyuan cafeteria.

Guo Guo Ziyang frowned: "I remember you used to hate heat the most—every summer you'd be half-dead."

Back home, sleep was contagious; Xu Xu Qingzhou couldn't resist either, slipped into his bedroom for a nap.

The direction was clear, but the actual work was extremely complex.

The holiday was already halfway over; he didn't plan to spend all his time helping Professor Zhao and others with their model—he suspected they thought him busy, and Professor Zhao had already said they had two weeks to finish.

Song Yao stopped looking at Xu Xu Qingzhou, nodded: "Okay."

Of course, besides the double integral method, Hua Hua Luogeng and Selberg had also provided other extremely rigorous proofs of the prime number theorem, but Xu Xu Qingzhou didn't need them.

Ding Ding Jiahui sighed: "I envy you for not minding the heat—right now, even I feel hot, and our dorm turns on the AC at night."

Ding Ding Jiahui muttered to herself.

Xu Xu Qingzhou nodded in agreement, pulled over a chair from the side, and sat down.

Xu Xu Qingzhou turned his head and saw Song Yao looked slightly tired: "Didn't sleep well last night?"

Xu Xu Qingzhou held the umbrella, watching the backs of Guo Guo Ziyang and his wife disappear around the subway station corner, thinking inwardly: next time I should warn Guo Guo Ziyang—don't let your girlfriend keep lusting after my girlfriend.

Ding Ding Jiahui turned to Xu Xu Qingzhou: "Xu Xu Qingzhou, your room doesn't have air conditioning?"

Near noon, after a quick wash-up, they said goodnight and returned to their rooms to rest.

Ding Ding Jiahui's voice halted their movements instantly—they remembered there were still two other light bulbs at home.

Subway station.

"Song Yaoyao~" Ding Ding Jiahui was moved, lunging onto Song Song Yaocai. "I knew it—you still care about me!"

"Mm." Song Yao nodded, sighed: "Ding Jiahui insisted on sleeping hugging me—I'm not used to it."

Use the monotonicity of the logarithmic function.

Guo Guo Ziyang said: "Beijing summers are still very hot, right? Can you handle it without AC?"

She had just seen Xu Xu Qingzhou's room—it was smaller than her friend's, and had no air conditioning. Clearly, Xu Xu Qingzhou knew how to care for his girlfriend.

Here, replace =m with u.

【∑m≤y∫. m≤ym+1m(m+1)=y∑m≤y1mylogy】

Half an hour later, Xu Xu Qingzhou squinted; two sheets of paper filled with calculations appeared before him.

Thus, we obtain a≤1, and then derive a formula supplementing the prime distribution law: liminf x→∞ π(x)logx/x ≤ 1 ≤ limsup x→∞ π(x)logx/x.

(End of chapter)