early morning

Xu Mang got up early as usual, he didn't study it for too long last night, and he blamed the stupid girl who was pregnant, and he didn't know why suddenly... If you go crazy, you want to coax her by yourself, maybe you watched the emotional story of Douyin.

Glancing at Xiao Man lying beside him, Xu Mang looked at her quietly, saying that he didn't seem to have seen Xiao Man up close for a long time, in high school... It's often possible to see it up close and face-to-face, and then it's rare to have such an opportunity.

Not to mention...

Xiao Man is indeed very beautiful, but even if she is so beautiful that she is like a fairy in the sky, this is not... is still pregnant and has become an expectant mother, and the fairy will still move her heart.

Then

Xiao Man woke up suddenly, stretched his waist lazily, and saw Xu Mang looking at him intently, his pretty face flushed slightly, and said shyly: "What's wrong... Looking at me like this, we've been together for so long, is it necessary?"

"Huh?"

"It's just been a long time since I saw you that way. Even if he was unruly, he would become tender at this moment, stretched out his hand and pinched the little goblin's face, and said, "Before... I never thought that I would get married so early and become a father so early. ”

"Hmm!"

Yang Xiaoman took advantage of the situation to get closer, and then his whole body was attached to Xu Mang's arms, and said gently: "Me too... My mom used to say that I wanted to be a nun in the future, but it turned out to... The world is impermanent, I even got married before anyone else, and even conceived a child. ”

"Since I brought you home to meet my parents, my parents have been smiling a lot more than before, and now I'm pregnant again... The two were even happier. Yang Xiaoman continued: "Stupid... Are you saying it's all fate?"

"Maybe..."

"But we Chinese people don't believe in fate in our bones. Xu Mang smiled: "The vast majority of people are fighting against fate. ”

"Huh?"

"But I read from a magazine that, statistically speaking... Even if people born at the bottom of society become adults, the unhappy experience when they are young will form a very big defect in their cognition, and their taste and moral standards will be incompatible with high society. Yang Xiaoman said.

"Hmm!"

"This is just a foreign phenomenon, but it cannot be verified in our country. Xu Mang quietly put his hand into the quilt and touched Xiao Man's belly... Feeling the feeling of life being nurtured in it, he said seriously, "We have an essential difference in education. ”

"The difference?"

"What's the difference?" Yang Xiaoman asked, "Elite education?" I remember the 'Gray Man Theory' at Oxford University, it seems that this is the case, right?"

Xu Mang nodded and said indifferently: "The Gray Man Theory indicates in detail that if it is an ordinary person, his qualifications are very average, and he works very hard, this kind of person is the most pathetic person in the world, and he is called the Gray Man by Oxford." ”

"Yes!"

"I've heard of it too. Yang Xiaoman said: "I am particularly disgusted by the so-called gray man theory. ”

"So..."

"We're going back to the previous theory. Xu Mang showed a smile: "It is impossible to separate personal ideals and the destiny of the country... Because as long as you are in China, as long as you are willing to work hard, love to study and dare to work hard, you can go all the way from a backward village to a university like Qingdao University. ”

At this point,

Xu Mang continued: "The classes in China have always been interconnected, and from a historical point of view... It's a truth, like the situation in your home... Flipping up to three generations, it must be a peasant background, and have you noticed..."

"In China... Even if a person is rich, if he pretends to be a foreign nobleman, is very ungrounded, and has a strong sense of superiority, he will be scolded to death by us. Xu Mang smiled: "Even in mythology... We have a gap with foreign countries. ”

"In foreign mythology, it is what the great flood punishes mankind, and mankind can only kneel and beg for forgiveness, but here we are... It has always been Hou Yi who shoots the sun, Jingwei fills the sea, and we have worshiped warriors who have changed their lives against the sky since ancient times. Xu Mang freed up his other hand and pinched Xiao Man's cheek.

"It's no exaggeration to say .. Most of the people who live on this land have in their bones the courage to face their fate without compromise, which is unmatched by any country in the world. Xu Mang said, "So..."

Speaking of which,

Xu Mang stopped suddenly, looking at the grinding goblin with a grin.

"So what?" Yang Xiaoman pouted, and said angrily: "Don't sell it, say it quickly!"

"So I was able to come together with you, not because of the so-called entanglement of fate, but because of the happiness I fought for. Xu Mang said: "This is what we strive for, not a gift from God, and we don't need to attribute happiness to fate." ”

In fact

There is another meaning in Xu Mang's words, he quietly read Weibo yesterday and found that many people were led astray by the well-known Vs, and really believed in their set of theories, thinking that Huaguo just can't do anything, and he can't do anything.

It's interesting to think about...

"Husband!"

"You're so right!" Yang Xiaoman was so excited, he directly hugged Xu Mang's neck, and then leaned up, and kissed him fiercely... almost didn't kiss Xu Mang's bald skin.

before

Xiao Man has always felt that this is the arrangement of fate, so that the two unrelated people finally walked together, but... Now I suddenly feel that this is clearly the happiness I have earned, why is it due to fate?

After an hour of greasy and crooked, Yang Xiaoman suddenly asked, "When will you go back?"

"Tomorrow afternoon. Xu Mang said: "Anyway, I'm not in a hurry at this time, when I solve the Zone conjecture, I can solve it tonight." ”

"Huh?"

"So fast?" Yang Xiaoman was stunned for a moment, and said in surprise: "Last night you... You're not trying to solve the problem at all. ”

“...”

"It's not because of you!" Xu Mang said angrily: "Apply for three hours tonight... You don't bother me, let me solve the problem wholeheartedly, right... Ferrari have unveiled their next latest flagship sports car, can I buy two?"

Yang Xiaoman frowned, in fact, she didn't feel heartache for money, but she was just a little unhappy with Xu Mang's lavish spending, he was undoubtedly leaving a bad impression on the child, thinking that the family was very rich.

Although, it..

It's really rich, but the child has to instill the concept of poverty in the family from an early age, so that he has a spirit of constantly working hard, otherwise he will learn from his father... If you open your mouth, you want a sports car, and if you spread your hands, you want an airplane, is this still necessary?

"No way!"

"I can only buy one!" Yang Xiaoman resolutely refused Xu Mang's request, and said seriously: "You have to change your bad habits... In the future, let the child see that his father is like this, he will definitely be sad, why such an excellent mother married a waste father. ”

Xu Mang: ???

...

At night,

Xu Mang sat alone in the room and began to work, and now he has solved the problem of covering any convex body with a long strip, that is to say, Xu Mang has proved that the total width of the strip covering the convex body is at least the width of the convex body itself, that is, the minimum width of a single strip that can cover the convex body.

However, it still needs to be thought from another angle, covering a unit sphere with a certain type of ball belt... Specifically, each spherical band is the intersection of a spherical surface and a specific three-dimensional slat, where the slats are about a symmetrical area of space sandwiched between two parallel planes with respect to the center of the sphere.

Without slats,

The spherical geodesic is defined in the metric space of the spherical geodesic.

After studying for half an hour, Xu Mang knew that if it was solved, it would be necessary to find the minimum sum of widths on the band that could cover the unit sphere, so the width measurement method was different from the previous one, and it was defined as the length of the arc, not the Euclidean distance between parallel lines or surfaces.

"I see..."Xu Mang took a long breath, the stone that pressed on his heart fell, and he hurriedly used his mobile phone to find the information, and in a certain paper, he proved a very useful point, and Xu Mang tried to find the contradiction through the method of counterproof.

That is, find a point that is on the sphere, but not in any of these spheres.

"Is that so?"

"It seems that this is the case!" Xu Mang looked at what he wrote, it seemed that the Zone conjecture was not so difficult, but it was very complicated in terms of argumentation, ten years... To solve this problem, it is also a matter of course.

But

Xu Mang showed a hint of a smile, he felt that the other party was so arrogant that he dared to jump out at such a speed.

But one thing to say, this zone conjecture is very interesting, after all, it has attracted the attention of mathematicians in the field of discrete geometry for more than 40 years, and you can imagine how important it is to reality, not only in discrete geometry, but also in high-dimensional spaces.

Even in physics and cosmology, there will be an unspeakable ascension.

meanwhile

Yang Xiaoman pouted and hugged a pillow... His eyes stared blankly at the silent TV, his mind was full of pictures of beating Xu Mang, and he secretly glanced at Xu Mang, who was working.

"Humph!"

"I'm angry!" Yang Xiaoman suddenly shouted.

Xu Mang was almost not scared to death, looked at her with a confused expression, and said helplessly: "I was almost not scared by you to cardiac arrest." ”

"Big fool!"

"You know I'm now... Isn't it boring?" Yang Xiaoman glanced at him and said seriously: "Talk to me!"

“...”

"I'm not free!" Xu Mang frowned and said, "Wait for me for another hour, remember not to make trouble!"

afterwards

Xiao Man looked at her husband and turned his head again, working quietly alone, maybe Xu Mang's tone was a little heavy just now, which made this angry little woman realize that she was wrong, but even if she was wrong, she couldn't admit her mistake.

"Angry is angry... It's not like I don't love you anymore. Yang Xiaoman got up and sat at the head of the bed, turning her back to Xu Mang and muttering to herself, but her voice was a little loud: "Speak well, coax me to be relieved soon!"

(¬_¬) sneak a glance...

outcome

Xu Mang didn't react.

"Ugh..."

"I can only run away from home!" Yang Xiaoman, who was suddenly acting on his body, stood up angrily, took a piece of clothing, and draped it on himself, but said in his mouth: "It's so cold outside... I had to get dressed, or I'd freeze to death. ”

Words fall,

(¬_¬) Sneak a peek again...

The result is still no response.

What's the situation?

Why didn't this big pig's trotter react?

Yang Xiaoman: (# ̄~ ̄#)

Scumbag!

Big scumbag!

"Then I'll take another bowl... Take the bowl and ask for food. Yang Xiaoman looked for bowls everywhere in the room with an angry face, and she didn't know how she found it, so she really found a broken bowl, at this time... Xiao Man, who was holding the bowl in his hand, was a little overwhelmed.

"I'm going to ask for food!"

"I'm really going to ask for food!" Yang Xiaoman shouted.

In the face of Xiao Man's drama performance, Xu Mang's heart was broken, but it was more of a love, I didn't expect that his wife was very talented in acting, obviously it was his own fault, but he tried his best to push the problem onto others.

It's so cute!

"Or..."

"You take two bowls?" Xu Mang said with a smile.

Seeing that Xu Mang had finally taken care of himself, Xiao Man hurriedly came to his side and said with a smile: "Are you going to go with me to ask for food?"

"No!"

"Sponsor you to open a branch. Xu Mang said with a smile.

The next second,

Yang Xiaoman was so angry that he threw the stainless steel bowl on the ground, grabbed Xu Mang's ears, and said angrily: "The old lady is no longer alive... I'm going to kill you!"

"Oops, oops..."

Xu Mang grabbed Xiao Man's hand and hurriedly begged for mercy: "Don't go, can you stay?" ”

Yang Xiaoman let go of his hand and said with a look of grievance: "Then I will reluctantly agree to you..."

Xu Mang: (°ー°〃)

Oh, my God!

After this pregnancy, I feel that Xiaoman's IQ is less than thirty.

afterwards

Xiao Man clinged to Xu Mang's arms, feeling the warmth given by his man, while watching him solve one problem after another, the arrogance in his heart... Although this big fool is useless, as long as he loves himself, it is enough.

"What does this mean?" Yang Xiaoman asked.

"I constructed a special set of points in 3D space so that at least one point was not in the area covered by the plank. Xu said casually: "If the whole set of points is located inside the ball, then it is relatively easy to find another point on the surface of the ball that is not covered by a plank, that is, not covered by a ball belt. ”

"If any point in the set happens to be outside the sphere, you can replace several smaller bands with one larger band, which are equal in width and width to the larger band. "This can reduce the number of belts in the initial problem without affecting the width and sum," Xu said. ”

The corners of Xiao Man's eyebrows turned up slightly, and he said seriously: "Does it mean that a certain point on the sphere will be determined to be outside these ball belts?"

"Oops!"

Xu Mang looked surprised, looked at Xiao Man's side face, and said, "My beautiful lady turned out to be... So smart, so beautiful and so smart, Xiao Man... Can you give someone else some room to live?"

"Nasty~"

"You big idiot!" Yang Xiaoman quietly twisted Xu Mang's thigh: "When will it end?"

"It's almost there..."

"It's not a big deal. Xu Mang smiled and said indifferently: "Now it's been solved... But I want to shorten the process a little bit, that Decca genius gives the world too long an answer, I think it can be shortened a little. ”

"And... There seems to be another conjecture extended..."Xu Mang continued: "Another more basic conjecture about spherical coverage..."

Yang Xiaoman said angrily: "Hey, are you finished? What extends another conjecture, the old lady does not allow you to extend!"

"Oops..."

"Actually, I already know the answer... In my conjecture, the band covering the sphere does not need to be centrally symmetrical. Xu Mang smiled: "But the paper is not enough, so I am too lazy to write... Let them figure it out for themselves. ”

moment

Xu Mang silently put down his pen.

"Solved?"

"Solved!"

"What... This is the conjecture that the so-called French mathematical genius spent ten years solving?" Yang Xiaoman said with a disappointed face: "It turns out that the gap between you is so big?"

One took ten years, the other a couple of hours...

Oh, my God!

It turns out that the public knowledge big V is boasting about this kind of person?

......