Black Technology Incubation System
Chapter 34 Kakutani Conjecture
The proof on the whiteboard gradually took shape, but Lou Jianyue stopped writing and fell into deep thinking.
Gu Xing stood aside, quietly holding a cup of milk tea, and did not bother Brother Lou. There was a unique tacit understanding between them in this regard, and they clearly knew when to leave some quiet space for each other.
[System, let's look at the rewards first. ] When Gu Xing remembered that he hadn't checked the rewards he had received before, he called the system at this moment.
[OK. ] The system will reply in seconds.
Afterwards, a huge light screen unfolded in front of Gu Xingyi.
[Host Name: Gu Xingyi
Sex: Male
Talent level: ss (click to enter the technology tree)
Points: 3300 (9200)
Focus time: 207.33 hours
Training time: 13.61 hours
Number of lottery draws: 3]
The backpack was also opened next to it, and there were a few effect cards lying quietly inside.
[Does the host want to draw a lottery? ] The refreshing young voice of the system sounded, with the meaning of eagerness to try.
Gu Xing unconsciously glanced at Brother Lou's pensive side face, and complained to the system: [It's a bit weird to secretly draw a lottery in front of others. ]
[Did the host mean to expose the play?That was exciting. ] The system said something unexpected in an indescribably calm tone.
Gu Xingyi: ...
[System, I think you need to check for viruses.What weird things have you browsed lately. ]
[Just a little entertainment.After all, our system also needs personal life. ] The system, which is trying to test the driver's license, replied calmly.
[Forget it, you are also a mature old system. ] When Gu Xing thought about the soft and cute loli voice he heard when he first got the system, he felt that the years of the rivers and lakes make people grow old, and time is a butcher's knife.
He supported his forehead and said: [Just don't spoil Xiao X. ]
[Then I also hope that the host will ensure that his computer is clean and tidy.With all due respect, the small collection of parts of your computer perfectly shows that you are still single.For the education of Xiao X, I have already helped you deal with it. ] The system's tone was cool.
[Okay, let's draw the lottery first. ] Gu Xingyi lost for the first time in the confrontation with the system, so he can only talk about him from left to right.
Although the system has become a poisonous tongue, it still has nothing to say in terms of business capabilities.
Thirty golden cards lit up in front of Gu Xingyi's eyes.
Gu Xing has three blind spots a day.
Open the card with the light of a six-pointed star drawn on it.
Gu Xing's eyes brightened, there is a great hope of leaving Africa and joining the European Union today.
I saw three words written brightly on the first card—inspired.
The second card clearly reads - Class F of body strengthening potion.
The third card is more sorry.
But it is also 10 hours of training time, which is a good solution to the problem of Gu Xingyi's daily obsession with training time, which led to a crazy drop in points.
[Okay, when will the price of our training time come down. ] Gu Xing looked at his pitiful points and couldn't help sighing.
[When the accumulative points of the host reaches 1, the store should display a training time discount card. ] There seems to be the sound of flipping the pages of the book coming from the system, followed by a calm and refreshing youthful voice.
[Yes, our family is all awesome. ] Gu Xingyi praised without hesitation.
[Precisely speaking, systems that have reached maturity do not require such incentives.It is the bounden duty of our system to complete the task seriously. ] The system calmly analyzed.
[I think this is not what you want to say. ]
[It’s just a coincidence that the host discovered it. I just want to say that it’s really goose hearted. ]
[Okay, you have lost your lovely and gentle host forever, open the store. ] Gu Xingyi ordered.
The system opened the store neatly, displayed a row of discount cards on Gu Xingyi's right hand side, and arranged the products one by one according to the price, and then analyzed the price/performance ratio in his unique venomous tone.
It can be said to be very considerate.
Gu Xingyi didn't pay too much attention to those fancy products and drawings.
He is a person who is quite confident in his own ability, even conceited, and at the same time has a unique arrogance-no matter how dazzling and exquisite these drawings and products are, he can still use his own ability to complete them. Move into reality.
He is the kind of person who would rather design and carve a project by himself than sit back and enjoy the benefits.
So he never thought about buying high-tech products directly in the store and mass-producing them in real life.
What he noticed this time was the body enhancer.
When Gu Xingyi first got the system at that time, he obtained a body strengthening agent, and the effect of the agent was quite good. It successfully gave him the capital to study and absorb knowledge day and night, and also protected his hair from being like autumn leaves. Generally drifting and falling.
This time, he drew a card and got another bottle of body enhancer.According to the description behind the body enhancer, in order to further strengthen his body, he must obtain a higher level enhancer, and this bottle of body enhancer can be used by other people, so it is obviously a gift for his relatives and friends .
Only one bottle is not easy to divide. After thinking about it, Gu Xing simply opened the mall and planned to buy a few more bottles.
By the way, you can use the discount card.
So he used the 5% off discount card, and he could get a bottle of 1000 F-grade body strengthening agent for only 500.
Parents, uncle and younger sister, plus Brother Lou and Sun Jiu, minus the one bottle already rewarded, a total of three bottles are needed.
All of a sudden, 2000 points were spent.
Next, Gu Xingyi wandered around the mall again, and decisively bought two more bottles of energy potions. He planned to take the potions with him and soak them in the laboratory to think about how to solve the problem of hydrogen storage materials.
As a result, there were only 1000 points left. Gu Xingyi pondered for a while, gritted his teeth and bought three more data packets for Xiao x.
Now only 330 points are left as backup.
No wonder so many girls wanted to buy their hands during Double 11. Once they started shopping, they couldn't control themselves. Gu Xingyi sighed in his heart and exited the mall.
Then he carefully held the body enhancer in the palm of his hand, and ran to the kitchen to make a cup of coffee for Brother Lou.
Of course it's not hand-made. On this point, the two of them are not delicate people. Nestle instant is their favorite. One day, going to Starbucks is already a time for leisure.
Lou Jianyue was suddenly stuffed with a cup of coffee, and walked out of the maze of mathematics, and drank a cup of coffee slowly.
Refreshing and refreshed.Now he suddenly had a kind of enlightenment-like comprehension, and he couldn't help but write again, and modified several of the complicated processes.
"Brother Lou, I think this technique can no longer be called the Great Circle Method." Gu Xingyi said with a smile, "According to this expansion, it should be called the Conic Section Method."
"It can indeed be said like this." Lou Jianyue kept writing, "But the most commonly used method is the auxiliary proof of elliptic curves. Other methods need to be explored."
"Well, there is indeed a bright future for exploration." Gu Xingyi clenched one hand into a fist and tapped his chin lightly.
Inspiration is like a swimming fish, flashing away in the sea of thinking, leaving only the golden-red light reflected by the scales.
Gu Xingyi will not let it go easily: [System, inspired. ]
[Received, I wish the host a happy use. ] The ending sound of the system is still a little excited.
It seemed that there was a breeze blowing by in an instant, refreshing and pleasant, and the fog in my mind floated away.It also seems that there is a huge net overwhelmingly suppressing the sea of thinking, and mercilessly catches the fleeing inspirations into the net.
The goddess of knowledge smiled at this moment and left her gift.
Gu Xingyi suddenly laughed brightly: "Brother Lou, I think Jiaogu's conjecture is a bit interesting."
The Kakutani conjecture is also called 3n+1, which means that for each positive integer, if it is an odd number, multiply it by 3 and add 1, if it is an even number, divide it by 2, and so on, you can finally get 1.
It's like a ghost hitting a wall, as long as all natural numbers start to enter this rule, no matter what path they go through, they will eventually return to the origin of one.
It also seems that countless fountains are sprayed into the air, and there is always gravity to bring them back to the original point, no matter how different the heights of the sprays are.
It also seems to be watching thousands of ships set sail from the pier at the same time, and then go through different routes, twists and turns, and finally return.
The charm of mathematics lies in this kind of wonderful coincidence, as if there is some kind of magic power controlling everything in the dark.
It is the job of the mathematician to explain these coincidences.
Perhaps this conjecture seems to be inferior to other mathematical titles in terms of meaning, and now the scenery seen in the process of proving this conjecture has infinite possibilities.
Gu Xing simply picked up the dragon-slaying sword that had just been hugged by Yue Mo, and took the lead in slashing at this proof question.
"Let's assume this first..." Gu Xing took a pen, took out a piece of white paper, and began to write.
Lou Jianyue's expression was a little surprised at the beginning, but gradually he couldn't help but smile.
Perhaps it is a joy to invent a completely new method and have the whole academic world shaken by it.But the higher level of happiness is that one's own method and thinking are completely understood by others.
That is the joy that resonates deep in the soul.
Then, as he watched Gu Xingyi's proof, Lou Jianyue's expression could not help but gradually became serious. Perhaps in the eyes of ordinary people, this was just a boring calculation in black and white, but what he saw in his eyes was an indestructible and terrifying barrier. A gap was torn open with a knife, and the hope of victory was far in sight.
Perhaps this is a mysterious area where countless hailstones fall from different paths, but for Gu Xingyi at this moment, he has glimpsed the only way out and the hidden law.
"Indeed, apart from asking the computer to repeatedly calculate and find counterexamples that are almost impossible to exist, this problem that is extremely simple but extremely difficult to prove has already found a solution." Lou Jianyue did not wait for Gu Xingyi to complete the proof , pointed out this future with his keen mathematical intuition.
Gu Xing kept writing, and said with a smile: "Thank you, Jun, for giving me the dragon slaying knife. After slaying the dragon in the future, it will be clear."
The author has something to say: The explanation of the Kakutani conjecture comes from Baidu.
Thanks to the little angels who voted for me or irrigated the nutrient solution~
Thanks to the little angel who irrigated [nutrient solution]:
I always like RDJ9 bottle;
Thank you very much for your support, I will continue to work hard!
Gu Xing stood aside, quietly holding a cup of milk tea, and did not bother Brother Lou. There was a unique tacit understanding between them in this regard, and they clearly knew when to leave some quiet space for each other.
[System, let's look at the rewards first. ] When Gu Xing remembered that he hadn't checked the rewards he had received before, he called the system at this moment.
[OK. ] The system will reply in seconds.
Afterwards, a huge light screen unfolded in front of Gu Xingyi.
[Host Name: Gu Xingyi
Sex: Male
Talent level: ss (click to enter the technology tree)
Points: 3300 (9200)
Focus time: 207.33 hours
Training time: 13.61 hours
Number of lottery draws: 3]
The backpack was also opened next to it, and there were a few effect cards lying quietly inside.
[Does the host want to draw a lottery? ] The refreshing young voice of the system sounded, with the meaning of eagerness to try.
Gu Xing unconsciously glanced at Brother Lou's pensive side face, and complained to the system: [It's a bit weird to secretly draw a lottery in front of others. ]
[Did the host mean to expose the play?That was exciting. ] The system said something unexpected in an indescribably calm tone.
Gu Xingyi: ...
[System, I think you need to check for viruses.What weird things have you browsed lately. ]
[Just a little entertainment.After all, our system also needs personal life. ] The system, which is trying to test the driver's license, replied calmly.
[Forget it, you are also a mature old system. ] When Gu Xing thought about the soft and cute loli voice he heard when he first got the system, he felt that the years of the rivers and lakes make people grow old, and time is a butcher's knife.
He supported his forehead and said: [Just don't spoil Xiao X. ]
[Then I also hope that the host will ensure that his computer is clean and tidy.With all due respect, the small collection of parts of your computer perfectly shows that you are still single.For the education of Xiao X, I have already helped you deal with it. ] The system's tone was cool.
[Okay, let's draw the lottery first. ] Gu Xingyi lost for the first time in the confrontation with the system, so he can only talk about him from left to right.
Although the system has become a poisonous tongue, it still has nothing to say in terms of business capabilities.
Thirty golden cards lit up in front of Gu Xingyi's eyes.
Gu Xing has three blind spots a day.
Open the card with the light of a six-pointed star drawn on it.
Gu Xing's eyes brightened, there is a great hope of leaving Africa and joining the European Union today.
I saw three words written brightly on the first card—inspired.
The second card clearly reads - Class F of body strengthening potion.
The third card is more sorry.
But it is also 10 hours of training time, which is a good solution to the problem of Gu Xingyi's daily obsession with training time, which led to a crazy drop in points.
[Okay, when will the price of our training time come down. ] Gu Xing looked at his pitiful points and couldn't help sighing.
[When the accumulative points of the host reaches 1, the store should display a training time discount card. ] There seems to be the sound of flipping the pages of the book coming from the system, followed by a calm and refreshing youthful voice.
[Yes, our family is all awesome. ] Gu Xingyi praised without hesitation.
[Precisely speaking, systems that have reached maturity do not require such incentives.It is the bounden duty of our system to complete the task seriously. ] The system calmly analyzed.
[I think this is not what you want to say. ]
[It’s just a coincidence that the host discovered it. I just want to say that it’s really goose hearted. ]
[Okay, you have lost your lovely and gentle host forever, open the store. ] Gu Xingyi ordered.
The system opened the store neatly, displayed a row of discount cards on Gu Xingyi's right hand side, and arranged the products one by one according to the price, and then analyzed the price/performance ratio in his unique venomous tone.
It can be said to be very considerate.
Gu Xingyi didn't pay too much attention to those fancy products and drawings.
He is a person who is quite confident in his own ability, even conceited, and at the same time has a unique arrogance-no matter how dazzling and exquisite these drawings and products are, he can still use his own ability to complete them. Move into reality.
He is the kind of person who would rather design and carve a project by himself than sit back and enjoy the benefits.
So he never thought about buying high-tech products directly in the store and mass-producing them in real life.
What he noticed this time was the body enhancer.
When Gu Xingyi first got the system at that time, he obtained a body strengthening agent, and the effect of the agent was quite good. It successfully gave him the capital to study and absorb knowledge day and night, and also protected his hair from being like autumn leaves. Generally drifting and falling.
This time, he drew a card and got another bottle of body enhancer.According to the description behind the body enhancer, in order to further strengthen his body, he must obtain a higher level enhancer, and this bottle of body enhancer can be used by other people, so it is obviously a gift for his relatives and friends .
Only one bottle is not easy to divide. After thinking about it, Gu Xing simply opened the mall and planned to buy a few more bottles.
By the way, you can use the discount card.
So he used the 5% off discount card, and he could get a bottle of 1000 F-grade body strengthening agent for only 500.
Parents, uncle and younger sister, plus Brother Lou and Sun Jiu, minus the one bottle already rewarded, a total of three bottles are needed.
All of a sudden, 2000 points were spent.
Next, Gu Xingyi wandered around the mall again, and decisively bought two more bottles of energy potions. He planned to take the potions with him and soak them in the laboratory to think about how to solve the problem of hydrogen storage materials.
As a result, there were only 1000 points left. Gu Xingyi pondered for a while, gritted his teeth and bought three more data packets for Xiao x.
Now only 330 points are left as backup.
No wonder so many girls wanted to buy their hands during Double 11. Once they started shopping, they couldn't control themselves. Gu Xingyi sighed in his heart and exited the mall.
Then he carefully held the body enhancer in the palm of his hand, and ran to the kitchen to make a cup of coffee for Brother Lou.
Of course it's not hand-made. On this point, the two of them are not delicate people. Nestle instant is their favorite. One day, going to Starbucks is already a time for leisure.
Lou Jianyue was suddenly stuffed with a cup of coffee, and walked out of the maze of mathematics, and drank a cup of coffee slowly.
Refreshing and refreshed.Now he suddenly had a kind of enlightenment-like comprehension, and he couldn't help but write again, and modified several of the complicated processes.
"Brother Lou, I think this technique can no longer be called the Great Circle Method." Gu Xingyi said with a smile, "According to this expansion, it should be called the Conic Section Method."
"It can indeed be said like this." Lou Jianyue kept writing, "But the most commonly used method is the auxiliary proof of elliptic curves. Other methods need to be explored."
"Well, there is indeed a bright future for exploration." Gu Xingyi clenched one hand into a fist and tapped his chin lightly.
Inspiration is like a swimming fish, flashing away in the sea of thinking, leaving only the golden-red light reflected by the scales.
Gu Xingyi will not let it go easily: [System, inspired. ]
[Received, I wish the host a happy use. ] The ending sound of the system is still a little excited.
It seemed that there was a breeze blowing by in an instant, refreshing and pleasant, and the fog in my mind floated away.It also seems that there is a huge net overwhelmingly suppressing the sea of thinking, and mercilessly catches the fleeing inspirations into the net.
The goddess of knowledge smiled at this moment and left her gift.
Gu Xingyi suddenly laughed brightly: "Brother Lou, I think Jiaogu's conjecture is a bit interesting."
The Kakutani conjecture is also called 3n+1, which means that for each positive integer, if it is an odd number, multiply it by 3 and add 1, if it is an even number, divide it by 2, and so on, you can finally get 1.
It's like a ghost hitting a wall, as long as all natural numbers start to enter this rule, no matter what path they go through, they will eventually return to the origin of one.
It also seems that countless fountains are sprayed into the air, and there is always gravity to bring them back to the original point, no matter how different the heights of the sprays are.
It also seems to be watching thousands of ships set sail from the pier at the same time, and then go through different routes, twists and turns, and finally return.
The charm of mathematics lies in this kind of wonderful coincidence, as if there is some kind of magic power controlling everything in the dark.
It is the job of the mathematician to explain these coincidences.
Perhaps this conjecture seems to be inferior to other mathematical titles in terms of meaning, and now the scenery seen in the process of proving this conjecture has infinite possibilities.
Gu Xing simply picked up the dragon-slaying sword that had just been hugged by Yue Mo, and took the lead in slashing at this proof question.
"Let's assume this first..." Gu Xing took a pen, took out a piece of white paper, and began to write.
Lou Jianyue's expression was a little surprised at the beginning, but gradually he couldn't help but smile.
Perhaps it is a joy to invent a completely new method and have the whole academic world shaken by it.But the higher level of happiness is that one's own method and thinking are completely understood by others.
That is the joy that resonates deep in the soul.
Then, as he watched Gu Xingyi's proof, Lou Jianyue's expression could not help but gradually became serious. Perhaps in the eyes of ordinary people, this was just a boring calculation in black and white, but what he saw in his eyes was an indestructible and terrifying barrier. A gap was torn open with a knife, and the hope of victory was far in sight.
Perhaps this is a mysterious area where countless hailstones fall from different paths, but for Gu Xingyi at this moment, he has glimpsed the only way out and the hidden law.
"Indeed, apart from asking the computer to repeatedly calculate and find counterexamples that are almost impossible to exist, this problem that is extremely simple but extremely difficult to prove has already found a solution." Lou Jianyue did not wait for Gu Xingyi to complete the proof , pointed out this future with his keen mathematical intuition.
Gu Xing kept writing, and said with a smile: "Thank you, Jun, for giving me the dragon slaying knife. After slaying the dragon in the future, it will be clear."
The author has something to say: The explanation of the Kakutani conjecture comes from Baidu.
Thanks to the little angels who voted for me or irrigated the nutrient solution~
Thanks to the little angel who irrigated [nutrient solution]:
I always like RDJ9 bottle;
Thank you very much for your support, I will continue to work hard!
You'll Also Like
-
Zongman: Loading entries, there are too many sisters who are obsessed with their brothers
Chapter 48 1 hours ago -
Adult Comprehensive Comics: Starting with a quick run through Poison Island �曜�
Chapter 79 1 hours ago -
After my sister was killed, I took revenge on her as Zhou Chu
Chapter 245 1 hours ago -
The rich: Why get married when you are already cheating?
Chapter 167 1 hours ago -
I can see the goddess's wish, the school beauty is chasing after her like crazy
Chapter 192 1 hours ago -
Godzilla awakens at the beginning, I am more fierce than the beast
Chapter 192 1 hours ago -
One Piece: Beginning Steel Balloon Plus
Chapter 43 1 hours ago -
What should I do if my undercover agent in Konoha is exposed and my boss is dead?
Chapter 130 1 hours ago -
Original Collapse Iron Short Video! Starting with an Inventory of Gold Dust
Chapter 117 1 hours ago -
I Became the Queen of the World
Chapter 72 1 hours ago