This passerby is too calm
Chapter 229 227. The solution is out!It actually worked out! !
Chapter 229 227. The solution is out!It actually worked out! !
"Did he... did he speak directly?"
"Hiss—it seems, if you hadn't called me, I would have thought I was hallucinating."
Seeing Chen Mo writing and explaining at the same time, many people in the lecture hall showed a little surprised expression, and after a few faint sounds came from the lecture hall, it became quiet again.
All the people present looked up at the young man who was explaining to them unhurriedly.None of them expected that when Chen Mo solved the problem, he would actually explain it to them in this way.
This……
Everyone didn't know what to say for a while.
Just like a teacher giving a lecture to a student, it is to go through the knowledge in the mind in advance, commonly known as lesson preparation.Only in this way can you fluently express your thoughts and logic clearly when speaking, which is much more difficult than directly doing the questions yourself.
Everyone looked at the young man in amazement, no one thought that the young man would explain to them and solve the problem at the same time.
This is how much confidence I have in my logical thinking and ability to control language logic.
It’s okay if the train of thought keeps going smoothly, but what should I do if I get stuck halfway?
He can't be like a teacher preparing a lesson, or talking about a previous report. He has already cleared his mind and is ready.
joke,
How can it be?
Everyone didn't know what they thought of, and glanced at the blackboard, before they had time to wipe it, it was covered with various densely packed characters on the blackboard by Chen Mo.
Maybe?
Lu Wenxuan and the professors sitting in the front row subconsciously glanced at the colorful blackboard.For a moment, that thought that made the scalp tingle was floating in his mind.
This can't be... this is crazy.
Lu Wenxuan held the hand of the pen, as if trying to break the pen in his hand.The idea in my mind is really unbelievable.If it's true... no, it can't be true.
Lu Wenxuan suppressed the uncomfortable and uneasy feeling in his heart, tried his best to stabilize the expression on his face, and even pulled a mocking smile from the corner of his mouth.
Moreover, it seemed as if he would definitely be able to solve it.
The surrounding professors also reacted, no matter whether Chen Mo did the calculation by himself just now, the focus is now, or the final result is the focus.
If you don't solve it in the end, it's all meaningless.
Chen Mo didn't care about the ups and downs below, whether they endowed the public with popular expectations, speculated and doubted, or were malicious.The thin figure stands under the huge blackboard, writing slowly with chalk in hand.
"One of the expressions depends only on prime numbers. The positive integer form of the expression is the same as the prime number form of the expression, but the former is easier to use, because we only know what all positive integers are, but not what all prime numbers are like. Yes. But the two expressions are equivalent, we can substitute one for the other... The Zeta function is very useful, but we all know that it is not easy to use it well. Using Bernoulli numbers, we can only calculate The Zeta function value when the coefficient is even... the odd function value is more difficult to obtain... so let's look at the most intuitive graphical representation..."
"Although we can't find its exact value, we can calculate a "good enough" approximation. Instead of calculating the sum of infinite items, we can only approach the exact result by calculating the sum of finite items. If there are only 3 items, we will get ζ (3)=1.361111111, and the results of the first 3 items are not very close. Taking the first 10 items will be more accurate, and the error will be reduced to 5.8%, and so on. If you add up the first 10 billion items, you will finally get ζ(100000000) =1.64493405783457, which is close enough to the exact answer."
Every stroke of Chen Mo's chalk is very light, but even when writing English, the font still has a sense of flowing water but vigorous and powerful.A large area of formulas and data that are so neat that they can't jump out of the error are listed and written on the blackboard, clearly giving everyone his logical thinking and proof process.Even if you don't know mathematics, you can rely on language reading to get a general understanding of the thinking process of the proof.
Of course, this kind of algebraic proof, of course, is mainly in the [-] to [-]% "calculation", calculation is the most important thing.
While he was writing, the staff beside him wiped out a new blackboard for him to use when he finished writing on the last blackboard.Chen Mo drew an image of the Zeta function value of each number between -10 and 10 on the blackboard that the staff recently erased.
At the bottom of this picture, using the data I calculated before in front of everyone, I drew two three-dimensional images of the Zeta function with my bare hands under the gaze of everyone.The professors who closely followed the calculations were fine. After Chen Mo was stunned for a moment after drawing the picture, he was quickly attracted by the data and began to make rigorous calculations.But those students who are not majors in mathematics, or who have only listened to ideas and gave up large-scale calculations, stared at the image in a daze for a long time.
"Fuck!"
"Fake!!"
"..."
……
Many people in the lecture hall couldn't hold back after holding back for a long time, and they all uttered a few national curses.It expresses the mood in their hearts that countless grass mud horses are galloping past and lying down in a big trough at this time.
You are too much!
You have calculated well and we recognize it, but what is the matter with this [-]D demonstration picture you drew?Do you think you are a computer?Let me tell you a question, you even drew this thing... Although there are many drawing opportunities in academia, I have seen freehand circles and data analysis diagrams, but you are freehand drawing the three-dimensional function of the function. The demo image isn't overkill.
Do you think you are a printer?Or are you just a robot?
Look at this picture, you have perspective, this small perspective line drawing, you also have two-point perspective, three-point perspective?The most outrageous thing is that all the data can be mapped on the coordinate axes in one-to-one correspondence...
Your hand is not a hand, is it?You swallowed the computer, otherwise how could there be no mistakes at all, don’t you shake your hands? !
Can you explain why you, a physics researcher, set foot in the field of mathematics, and then split into the Milky Way and into the field of art?The last one who did this was like Leonardo da Vinci half a century ago, drawing human anatomy diagrams by hand.
Although people have drawn a few anatomical diagrams with text explanations in small books, well, it's also abnormal.But people didn't just do this casually under the circumstances of this kind of lecture.
Did you know that the visual impact is great, ah hey! ? !
Leonardo da Vinci achieved the level of casual drawing through a lot of dissecting corpses and drawing exercises. You painted like this, are you also secretly drawing this kind of 3D demonstration map in private?Who would do that?
are you crazy!
Of course, there was another big trough in their hearts, and they couldn't say it at this time, they could only look at Chen Mo with a very accustomed attitude, as if he just drew a circle on the blackboard casually, everyone felt that they were about to be suffocated Yes, and the fist is hardened.
If Chen Mo knows, he must show that he is innocent, he is not a crossover, he is a serious art student.This is a basic skill, and some time ago, the teacher asked them to draw architectural drawings. Whenever he had time, he would make a drawing, copy a hundred and eighty pieces, and draw a hundred and eighty pieces. He may not be able to draw more complicated spatial drawings. , but the three-dimensional demonstration map is really the same as eating and drinking for him.
He is used to drawing architectural pictures, so that his hands itch when he sees flat and vertical lines and three-dimensional space models. When he sees the data in his mind, he subconsciously associates with this demonstration picture, so he subconsciously draws it out.Thinking of being able to explain the data he was going to talk about, as well as the corresponding laws and trends, he drew it...
Well, so to speak, it seems that what can make perfect.
But it's a pity that Chen Mo didn't know, maybe he talked too much today, he coughed twice again because of the dust, his fist left his lips, raised his finger to point at the picture, and continued talking.
As he analyzed the speech little by little, the eyes of many mathematicians present became brighter and brighter.
"When the input value is positive, the output value drops at infinity, and then slowly approaches 1; the function image on the left fluctuates back and forth on the x-axis, it passes through the horizontal axis regularly, and the function value at the intersection point is 0, These points are called trivial zeros. When the input value is a negative even number, the trivial zeros will appear as expected, because one of every two consecutive Bernoulli numbers is 0... You can see that the trivial zeros are all on the negative side of the x-axis Direction, you can also see some unexpected zeros, they are arranged on a straight line. This is actually the logarithmic image of the zeta function. This straight line is perpendicular to the original number axis. But these zeros are not ordinary zeros..."
The young man's voice was hoarse, but it carried the unique clarity and vigor of young people, like a rising star at night.
Even though it is such a large blackboard, the young people against it are even a little thin and small.But it was such a small body, which covered the entire blackboard with small chalks again and again.Time and time again, the blackboard turned into a vast expanse of white, then black again, then white again.
It's like a silent painting that turns pages in black and white.
Recorded by the camera, it is so shocking that words cannot express.
As the youth wrote little by little, the staff wiped it again and again, and I don't know how many words were covered and repeated.
Outside the window, the sun that was originally in full bloom at noon gradually faded. The sun slowly set from the west, and when it collided with the horizon, it was bright red like fireworks, and the orange-red hue collided with the brilliant golden yellow, reflecting the blue sky and the sky. The light gray clouds seem to be blooming with the most gorgeous brilliance from the inside out.
The sun was setting and night was coming, and the street lamps outside the window were on, illuminating the shadows of the trees and casting scattered shadows on the ground.The indoor lights that were not visible during the day are also spilled out due to the arrival of night at this time, and the window sills of the lecture theater are covered with the light yellow light of incandescent lamps, and the window sills are slightly tilted but very shadow of order.
It was said to be three hours. Chen Mo really had been solving problems non-stop since his report meeting at three o'clock. Up to now, he did not expect that he would talk for such a long time.He used the blackboard for a short while in his mind to complete the leaping thinking concepts in his mind, and he did not expect that there would be so many neatly written one by one.
But it also came to an end.
When Chen Mo was on the last blackboard, which he had written and wiped countless times, he pressed the last point heavily.
With a soft "...this can be proved."
The scene fell into a long, long silence.
Chen Mo has never said so many words. After five or six hours of non-stop talking, his voice was a little cracked at the end.But the hoarse and extremely light voice, like a willow leaf falling into floating water, was like a long sound of "Boom!" in the hearts of everyone, as an ancient bell rang for a long time.
As if stars were falling down one by one, the eyes seemed to be turning like a river of stars, they were all shining, and everyone felt a sense of trance and unreality.
Really...
Really, solved it.
Actually figured it out...
Chen Mo also had a very happy smile in the corner of his eyes. Although his right arm was sore, there was an indescribable sense of happiness in his heart, and he took a deep breath...
"Cough...cough...cough!"
There was a violent cough.
Chen Mo was almost choked up.
This place is now occupied by biochemical weapons. Chen Mo lowered his head and glanced at the ground. The place he was standing on was already covered with a large piece of white dust.I just went in to solve the problem and didn't find it. Only now did I notice that I didn't panic. The black suit that the teacher asked to change into was a black suit borrowed from the senior.One shot, Wuhu~ It's foggy!Chen Mo coughed again.
Help, he thinks he will have tonsil inflammation tomorrow, help!
Being teased by Zhen Mo, Chen Mo's thoughts were also diverted from the joy of solving the problem.He just wants to rush to the hotel to wash himself, and then drink a bag of banlangen in a hurry, so as to block the way before the cold comes.As long as he drinks fast enough, the cold can't catch up with him!
He seldom gets sick, but when he gets sick, he finds it difficult to recover. Unlike his outrageous ability to heal trauma, he doesn't stop when he catches a cold.Thinking of the cold he had when he was a child, Lao Chen looked anxious and panicked, and wished he could be wrapped in five or six layers of quilts. He was not blocked by a stuffy nose, but almost suffocated by the quilt, and his scalp was numb. .Of course it's more than that, it's not just Lao Chen who has a cold, if his mother knows about it, she will make a series of calls, each of them can be equivalent to Tang Seng.
He felt that since he was a child, he has been sick so little, and it is mostly due to his parents.
Absolutely, absolutely not sick!He must not catch a cold! !
"Okay, so far, everyone's proof process is here. I have written every step as detailed as possible. If anyone here has objections to the proof process or the process data in it, Corrections are welcome."
"Traveling Frog: Dawdling in the Marvel World", funny jokes and sand sculptures, and besides... this is a story infused with milky white positive energy.
(End of this chapter)
"Did he... did he speak directly?"
"Hiss—it seems, if you hadn't called me, I would have thought I was hallucinating."
Seeing Chen Mo writing and explaining at the same time, many people in the lecture hall showed a little surprised expression, and after a few faint sounds came from the lecture hall, it became quiet again.
All the people present looked up at the young man who was explaining to them unhurriedly.None of them expected that when Chen Mo solved the problem, he would actually explain it to them in this way.
This……
Everyone didn't know what to say for a while.
Just like a teacher giving a lecture to a student, it is to go through the knowledge in the mind in advance, commonly known as lesson preparation.Only in this way can you fluently express your thoughts and logic clearly when speaking, which is much more difficult than directly doing the questions yourself.
Everyone looked at the young man in amazement, no one thought that the young man would explain to them and solve the problem at the same time.
This is how much confidence I have in my logical thinking and ability to control language logic.
It’s okay if the train of thought keeps going smoothly, but what should I do if I get stuck halfway?
He can't be like a teacher preparing a lesson, or talking about a previous report. He has already cleared his mind and is ready.
joke,
How can it be?
Everyone didn't know what they thought of, and glanced at the blackboard, before they had time to wipe it, it was covered with various densely packed characters on the blackboard by Chen Mo.
Maybe?
Lu Wenxuan and the professors sitting in the front row subconsciously glanced at the colorful blackboard.For a moment, that thought that made the scalp tingle was floating in his mind.
This can't be... this is crazy.
Lu Wenxuan held the hand of the pen, as if trying to break the pen in his hand.The idea in my mind is really unbelievable.If it's true... no, it can't be true.
Lu Wenxuan suppressed the uncomfortable and uneasy feeling in his heart, tried his best to stabilize the expression on his face, and even pulled a mocking smile from the corner of his mouth.
Moreover, it seemed as if he would definitely be able to solve it.
The surrounding professors also reacted, no matter whether Chen Mo did the calculation by himself just now, the focus is now, or the final result is the focus.
If you don't solve it in the end, it's all meaningless.
Chen Mo didn't care about the ups and downs below, whether they endowed the public with popular expectations, speculated and doubted, or were malicious.The thin figure stands under the huge blackboard, writing slowly with chalk in hand.
"One of the expressions depends only on prime numbers. The positive integer form of the expression is the same as the prime number form of the expression, but the former is easier to use, because we only know what all positive integers are, but not what all prime numbers are like. Yes. But the two expressions are equivalent, we can substitute one for the other... The Zeta function is very useful, but we all know that it is not easy to use it well. Using Bernoulli numbers, we can only calculate The Zeta function value when the coefficient is even... the odd function value is more difficult to obtain... so let's look at the most intuitive graphical representation..."
"Although we can't find its exact value, we can calculate a "good enough" approximation. Instead of calculating the sum of infinite items, we can only approach the exact result by calculating the sum of finite items. If there are only 3 items, we will get ζ (3)=1.361111111, and the results of the first 3 items are not very close. Taking the first 10 items will be more accurate, and the error will be reduced to 5.8%, and so on. If you add up the first 10 billion items, you will finally get ζ(100000000) =1.64493405783457, which is close enough to the exact answer."
Every stroke of Chen Mo's chalk is very light, but even when writing English, the font still has a sense of flowing water but vigorous and powerful.A large area of formulas and data that are so neat that they can't jump out of the error are listed and written on the blackboard, clearly giving everyone his logical thinking and proof process.Even if you don't know mathematics, you can rely on language reading to get a general understanding of the thinking process of the proof.
Of course, this kind of algebraic proof, of course, is mainly in the [-] to [-]% "calculation", calculation is the most important thing.
While he was writing, the staff beside him wiped out a new blackboard for him to use when he finished writing on the last blackboard.Chen Mo drew an image of the Zeta function value of each number between -10 and 10 on the blackboard that the staff recently erased.
At the bottom of this picture, using the data I calculated before in front of everyone, I drew two three-dimensional images of the Zeta function with my bare hands under the gaze of everyone.The professors who closely followed the calculations were fine. After Chen Mo was stunned for a moment after drawing the picture, he was quickly attracted by the data and began to make rigorous calculations.But those students who are not majors in mathematics, or who have only listened to ideas and gave up large-scale calculations, stared at the image in a daze for a long time.
"Fuck!"
"Fake!!"
"..."
……
Many people in the lecture hall couldn't hold back after holding back for a long time, and they all uttered a few national curses.It expresses the mood in their hearts that countless grass mud horses are galloping past and lying down in a big trough at this time.
You are too much!
You have calculated well and we recognize it, but what is the matter with this [-]D demonstration picture you drew?Do you think you are a computer?Let me tell you a question, you even drew this thing... Although there are many drawing opportunities in academia, I have seen freehand circles and data analysis diagrams, but you are freehand drawing the three-dimensional function of the function. The demo image isn't overkill.
Do you think you are a printer?Or are you just a robot?
Look at this picture, you have perspective, this small perspective line drawing, you also have two-point perspective, three-point perspective?The most outrageous thing is that all the data can be mapped on the coordinate axes in one-to-one correspondence...
Your hand is not a hand, is it?You swallowed the computer, otherwise how could there be no mistakes at all, don’t you shake your hands? !
Can you explain why you, a physics researcher, set foot in the field of mathematics, and then split into the Milky Way and into the field of art?The last one who did this was like Leonardo da Vinci half a century ago, drawing human anatomy diagrams by hand.
Although people have drawn a few anatomical diagrams with text explanations in small books, well, it's also abnormal.But people didn't just do this casually under the circumstances of this kind of lecture.
Did you know that the visual impact is great, ah hey! ? !
Leonardo da Vinci achieved the level of casual drawing through a lot of dissecting corpses and drawing exercises. You painted like this, are you also secretly drawing this kind of 3D demonstration map in private?Who would do that?
are you crazy!
Of course, there was another big trough in their hearts, and they couldn't say it at this time, they could only look at Chen Mo with a very accustomed attitude, as if he just drew a circle on the blackboard casually, everyone felt that they were about to be suffocated Yes, and the fist is hardened.
If Chen Mo knows, he must show that he is innocent, he is not a crossover, he is a serious art student.This is a basic skill, and some time ago, the teacher asked them to draw architectural drawings. Whenever he had time, he would make a drawing, copy a hundred and eighty pieces, and draw a hundred and eighty pieces. He may not be able to draw more complicated spatial drawings. , but the three-dimensional demonstration map is really the same as eating and drinking for him.
He is used to drawing architectural pictures, so that his hands itch when he sees flat and vertical lines and three-dimensional space models. When he sees the data in his mind, he subconsciously associates with this demonstration picture, so he subconsciously draws it out.Thinking of being able to explain the data he was going to talk about, as well as the corresponding laws and trends, he drew it...
Well, so to speak, it seems that what can make perfect.
But it's a pity that Chen Mo didn't know, maybe he talked too much today, he coughed twice again because of the dust, his fist left his lips, raised his finger to point at the picture, and continued talking.
As he analyzed the speech little by little, the eyes of many mathematicians present became brighter and brighter.
"When the input value is positive, the output value drops at infinity, and then slowly approaches 1; the function image on the left fluctuates back and forth on the x-axis, it passes through the horizontal axis regularly, and the function value at the intersection point is 0, These points are called trivial zeros. When the input value is a negative even number, the trivial zeros will appear as expected, because one of every two consecutive Bernoulli numbers is 0... You can see that the trivial zeros are all on the negative side of the x-axis Direction, you can also see some unexpected zeros, they are arranged on a straight line. This is actually the logarithmic image of the zeta function. This straight line is perpendicular to the original number axis. But these zeros are not ordinary zeros..."
The young man's voice was hoarse, but it carried the unique clarity and vigor of young people, like a rising star at night.
Even though it is such a large blackboard, the young people against it are even a little thin and small.But it was such a small body, which covered the entire blackboard with small chalks again and again.Time and time again, the blackboard turned into a vast expanse of white, then black again, then white again.
It's like a silent painting that turns pages in black and white.
Recorded by the camera, it is so shocking that words cannot express.
As the youth wrote little by little, the staff wiped it again and again, and I don't know how many words were covered and repeated.
Outside the window, the sun that was originally in full bloom at noon gradually faded. The sun slowly set from the west, and when it collided with the horizon, it was bright red like fireworks, and the orange-red hue collided with the brilliant golden yellow, reflecting the blue sky and the sky. The light gray clouds seem to be blooming with the most gorgeous brilliance from the inside out.
The sun was setting and night was coming, and the street lamps outside the window were on, illuminating the shadows of the trees and casting scattered shadows on the ground.The indoor lights that were not visible during the day are also spilled out due to the arrival of night at this time, and the window sills of the lecture theater are covered with the light yellow light of incandescent lamps, and the window sills are slightly tilted but very shadow of order.
It was said to be three hours. Chen Mo really had been solving problems non-stop since his report meeting at three o'clock. Up to now, he did not expect that he would talk for such a long time.He used the blackboard for a short while in his mind to complete the leaping thinking concepts in his mind, and he did not expect that there would be so many neatly written one by one.
But it also came to an end.
When Chen Mo was on the last blackboard, which he had written and wiped countless times, he pressed the last point heavily.
With a soft "...this can be proved."
The scene fell into a long, long silence.
Chen Mo has never said so many words. After five or six hours of non-stop talking, his voice was a little cracked at the end.But the hoarse and extremely light voice, like a willow leaf falling into floating water, was like a long sound of "Boom!" in the hearts of everyone, as an ancient bell rang for a long time.
As if stars were falling down one by one, the eyes seemed to be turning like a river of stars, they were all shining, and everyone felt a sense of trance and unreality.
Really...
Really, solved it.
Actually figured it out...
Chen Mo also had a very happy smile in the corner of his eyes. Although his right arm was sore, there was an indescribable sense of happiness in his heart, and he took a deep breath...
"Cough...cough...cough!"
There was a violent cough.
Chen Mo was almost choked up.
This place is now occupied by biochemical weapons. Chen Mo lowered his head and glanced at the ground. The place he was standing on was already covered with a large piece of white dust.I just went in to solve the problem and didn't find it. Only now did I notice that I didn't panic. The black suit that the teacher asked to change into was a black suit borrowed from the senior.One shot, Wuhu~ It's foggy!Chen Mo coughed again.
Help, he thinks he will have tonsil inflammation tomorrow, help!
Being teased by Zhen Mo, Chen Mo's thoughts were also diverted from the joy of solving the problem.He just wants to rush to the hotel to wash himself, and then drink a bag of banlangen in a hurry, so as to block the way before the cold comes.As long as he drinks fast enough, the cold can't catch up with him!
He seldom gets sick, but when he gets sick, he finds it difficult to recover. Unlike his outrageous ability to heal trauma, he doesn't stop when he catches a cold.Thinking of the cold he had when he was a child, Lao Chen looked anxious and panicked, and wished he could be wrapped in five or six layers of quilts. He was not blocked by a stuffy nose, but almost suffocated by the quilt, and his scalp was numb. .Of course it's more than that, it's not just Lao Chen who has a cold, if his mother knows about it, she will make a series of calls, each of them can be equivalent to Tang Seng.
He felt that since he was a child, he has been sick so little, and it is mostly due to his parents.
Absolutely, absolutely not sick!He must not catch a cold! !
"Okay, so far, everyone's proof process is here. I have written every step as detailed as possible. If anyone here has objections to the proof process or the process data in it, Corrections are welcome."
"Traveling Frog: Dawdling in the Marvel World", funny jokes and sand sculptures, and besides... this is a story infused with milky white positive energy.
(End of this chapter)
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