Xueba starts with change
Chapter 587 The next target?
Chapter 587 The next target?
"In fact, the understanding of this new formula is not difficult. I think many people here have already fully understood it."
"And more people here are also here for its universal applicability."
"Then I'll stop talking and go straight to the point..."
After the same brief opening, Chen Zhou directly entered the content of the second half report meeting.
Compared with the first half report meeting, the content of the second half report meeting is relatively simple.
But only in relative terms.
The process of deriving the general applicability of the new formula is actually not simple.
The slides on the projector screen were switching at a slightly faster speed than the first half report meeting.
All eyes are also focused on the slides.
If you observe carefully, you can notice that more people who participated in the report meeting in the second half took notebook records.
After all, in order to be able to thoroughly understand this new formula, everyone came prepared.
It took about 35 minutes for Chen Zhou to explain the new formula in this thesis.
However, it is different from the first half report in the morning.
After Chen Zhou explained the content of the PPT, he did not directly enter the questioning session.
Instead, another PPT is opened.
This is some directional thinking about the application of the new formula.
When the second PPT appeared, the eyes of everyone in the audience lit up.
They didn't expect that Chen Zhou would prepare this one more move.
And this is precisely what they are most interested in.
After all, with Chen Zhou leading the way, they will be able to better use this new formula later.
Even Faltings, Deligne, and Langlands, the big math figures, showed an expression of interest.
Chen Zhou glanced slowly at the audience, with a "sure enough" smile on his face.
How could it be possible for Chen Zhou not to know what attracted these scholars in many research fields?
Therefore, on a whim, Chen Zhou added such a PPT with directional research and application suggestions after finishing the PPT of the report meeting last night.
Chen Zhou's idea is also quite simple, just take it as a little effort to carry forward this new formula.
In any case, in future research, he will certainly not pay too much attention to this accidental discovery.
Then, in order not to bury this new formula, we can only "teach" other scholars.
Chen Zhou sorted out his thoughts, and pressed his hand slightly.
The slides on the projection screen also switched from the first page "Thinking about the Application of the Eigenvalue Eigenvector Formula" to the first application on the second page.
"The most basic application of formulas for solving eigenvalues and eigenvectors is naturally in mathematics."
"If we follow the traditional solution method, we need to calculate the characteristic polynomial, then solve the eigenvalue, then solve the homogeneous linear equation system, and finally get the eigenvector."
"But now, as long as you know the eigenvalues, and then write a simple equation, the eigenvectors can be easily solved. On the contrary, it is the same to find the eigenvalues from the eigenvectors."
"I think his theoretical value in mathematics is probably equivalent to Clem's law..."
Hearing Chen Zhou's words, many people disagreed in their hearts.
Just like the Schultz who has achieved his goal but still stayed and participated in these two lectures in a row.
He tilted his head slightly, and said to Tao Zhexuan beside him, "I think he is a little humble."
Tao Zhexuan heard this and said with a smile, "Why?"
Schultz replied: "If it is the previous theoretical value of this formula, it may not be as good as Cramer's law. I also tried to follow his paper at the beginning to study this formula."
"But I found that if the light starts from the formula itself, the eigenvector cannot be directly calculated, only the modulus of its elements can be obtained, and there is a phase loss. Moreover, the eigenvalues of each sub-matrix have to be calculated, which is no better than directly connecting n elements How much easier is the nth degree linear equation."
"However, he gave this formula a new life, and completely branded this formula, which will not be named after him, with his mark."
"Judging from the formula he extended to universal applicability, the theoretical value of this formula is definitely above Clem's law!"
Although Schultz said so much, after he finished speaking, Tao Zhexuan at the side just glanced at him lightly.
Then, he said seemingly casually: "What can appear in his hands, can it be of no value? From the time I know his name to now, he has never disappointed!"
Schultz opened his mouth, wanting to say something, but still didn't say it.
Tao Terence somewhat guessed what Schultz wanted to say.
And these words, he had already comprehended before Chen Zhou graduated from undergraduate.
After all, he was the loser of that math guessing contest.
Because Terence Tao and Schultz are sitting a little behind.
The conversation between the two was also heard by many mathematics students who squeezed into the auditorium to watch.
Some students were discussing the weight of their words.
One of them said while recalling: "Cramer's law is the basic theorem in linear algebra, right? It is the one that uses determinants to calculate the solution of n-ary linear equations?"
"If I remember correctly, it should be what you said!"
Standing beside this person, a companion wearing a pair of black-rimmed glasses helped this person confirm the contents of his memory.
"I remember my tutor told me that the important theoretical value of Clem's law is to study the relationship between the coefficients of the equation system and the existence and uniqueness of the solution of the equation system, and compared to the role of calculation, Clem The laws have great theoretical value, especially in solving differential geometry, very useful!"
This person remembered what his tutor who studied linear algebra once said.
His mentor especially admired Clem's Law.
"Well, if I remember correctly, I've read what you said in a book."
The companion wearing black-rimmed glasses helped him confirm what the instructor said in a calm voice.
The man glanced at his companion beside him, and asked with some uncertainty: "Then tell me, is it true what they said just now that the theoretical value of Professor Chen's formula is above Clem's law?" ?”
The companion didn't answer his question directly, but said in a nonchalant manner: "I'm not mistaken just now, the two people who spoke were Professor Tao Terence and Professor Schultz, do you think what they said is true? "
"What?! Those two people just now are Professor Tao Zhexuan, the all-round genius mathematician known as the highest IQ in the United States, and Professor Schulz, a German genius mathematician known as the successor of Algebraic Geometry Emperor Grothendieck??? "
This person never expected that his companion would say such a sentence in a casual manner, and he immediately exclaimed.
But soon he stopped talking and looked left and right, for fear of affecting others.
However, from the lingering eyes of this person, it can be found that he has swept Tao Zhexuan and Schultz in the front row more than once.
His companion glanced at him, and said flatly: "If I remember correctly, the appearance of those two people can be matched with the photos I have seen."
"This... If this is the case, then what should be said is true..."
Hearing this, the man stopped avoiding his eyes and stared straight at the backs of Tao Zhexuan and Schultz.
Noticing the look in this person's eyes, the companion teased softly: "Huh? If I remember correctly, you don't change your opinion so easily? And judging by your expression just now, you probably don't plan to agree with those two people's statement?"
"Uh... no, did you remember correctly? My opinion is the same as that of Professor Terence Tao and Professor Schultz? Hahahaha..." The man explained with some embarrassment.
"Oh? Is that so? Well then..." The companion withdrew his gaze and continued to look at Chen Zhou on the stage, looking at the content on the slide.
But the man asked again: "Why, don't you think so? Don't you have the same opinion as these two big brothers?"
The companion didn't look back, and said in the same flat voice: "Something is different."
The man was surprised and said: "Really? Can you have a different opinion from the two big brothers?"
Hearing this, his companion slightly turned his head to look at him. His face, which was originally very casual, had always been a flat face, but now there was a little more excitement.
Even the gaze through the black-rimmed glasses seemed a little different.
The voice fluctuated for the first time: "I don't have any other opinions. My opinion is only the same as that of Professor Chen. The theoretical value of this formula is probably equivalent to Clem's law..."
The man froze for a moment, then pouted his mouth, and said nothing more.
At this moment, Chen Zhou on the stage had already cut the slide to the fourth page.
That is the thinking of the fourth directional applied research of this formula.
"In machine learning, formulas for solving eigenvalues and eigenvectors can be used to deal with missing features."
"On the basis of a large amount of data processing, the eigenvalues of the original matrix can be used to deal with some samples or missing features in new scenarios, and then the eigenvectors can be calculated, making compression and classification more accurate..."
Chen Zhou's narration does not merely point out the directional applied research that can be carried out.
More, there are his own thinking, and the value of applied research in this direction.
Interestingly speaking, following Chen Zhou's narration, some scholars present silently took out their mobile phones.
Then, he dialed the conversation with his friend.
After the call was made, the call stayed connected without hanging up.
And the other party, after asking twice, gradually quieted down.
Surprisingly, I heard about this report meeting through the phone.
As a result, after Chen Zhou finished his lecture on machine learning, this direction of applied research.
These scholars who got on the phone, after hanging up the phone.
The other party keeps calling back...
As time passed, Chen Zhou also turned the second PPT he had prepared to the end.
There are 12 pages in total.
A total of 11, directional research and application thinking about the eigenvalue eigenvector formula.
It can be said that Chen Zhou basically fed the scholars who came to the report.
It also fully demonstrated his own thinking in the multidisciplinary field.
As a result, when Chen Zhou finished the report meeting and was about to enter the questioning session.
The eyes of everyone in the audience were all shocked.
What shocked them was that Chen Zhou had dabbled in so many research fields.
They were also curious about how Chen Zhou did it.
At least from Chen Zhou's narration of these 11 directional studies, these 11 fields involve mathematics, physics, engineering, informatics, etc.
The knowledge that Chen Zhou possesses is not superficial, even more than what some research scholars in this field have thought and grasped.
Because of this, Chen Zhou adjusted the PPT and prepared to enter the intermission of the questioning session.
Faltings and others sitting in the front position looked at each other almost at the same time.
Especially Deligne.
His mood is quite complicated.
At this moment, he is quite suspicious, is it because of these complicated researches that Chen Zhou rejected his teacher's standard conjecture?
Chen Zhou on the stage, although he was adjusting the PPT, switched back to the first page of the first PPT.
But at the same time, he was also taking time to observe the people in the audience.
When he saw the expressions on the faces of everyone in the audience, Chen Zhou looked away in satisfaction.
The expressions of these people at least showed that what he wanted had been achieved.
Compared with the rich content in the previous section, the question-and-answer session seemed a lot dull.
After all, Chen Zhou has already explained the content of the new formula paper in great detail.
In addition, as Chen Zhou said at the opening of the report.
Many people who came to this report meeting have already understood this paper.
They are more concerned with the general applicability of the new formula.
Therefore, the Q&A session passed quickly.
Few scholars asked questions.
This also means that Chen Zhou's new formula has been recognized by the mathematics community and even researchers in other fields.
There is a young scholar, probably because the report meeting has gained too much.
Or it may be because of Chen Zhou's familiarity with multiple disciplines.
It made him quite agitated.
Unable to bear the excitement, An also got up and asked a question that everyone in the room cared about but would not take the initiative to ask.
"Professor Chen, can I ask you a question outside of the report meeting?"
Chen Zhou glanced at the young scholar, nodded slightly and said, "Please tell me!"
The scholar asked with great anticipation: "Professor Chen, which mathematical problem is your next goal?"
I have to say that this question is very straightforward.
After asking this question, Chen Zhou also found that the eyes of everyone in the audience were all focused on him.
In that gaze, there is infinite curiosity and anticipation.
Chen Zhou thought for a while, then said with a smile, "As for the next target, I actually don't know."
Hearing Chen Zhou's words, the scholar, including everyone in the audience, showed a disappointed expression.
But they could also understand that whether Chen Zhou said it or not, it was Chen Zhou's own business.
At this moment, Chen Zhou's voice sounded again.
"However, for now. I think the Yang-Mills equation and gauge theory seem interesting."
Thanks to the book friends, I don’t know how to charge money for the reward of 100 starting coins!
Thanks to book friend Yan Hongxue for the 100 starting coins!
(End of this chapter)
"In fact, the understanding of this new formula is not difficult. I think many people here have already fully understood it."
"And more people here are also here for its universal applicability."
"Then I'll stop talking and go straight to the point..."
After the same brief opening, Chen Zhou directly entered the content of the second half report meeting.
Compared with the first half report meeting, the content of the second half report meeting is relatively simple.
But only in relative terms.
The process of deriving the general applicability of the new formula is actually not simple.
The slides on the projector screen were switching at a slightly faster speed than the first half report meeting.
All eyes are also focused on the slides.
If you observe carefully, you can notice that more people who participated in the report meeting in the second half took notebook records.
After all, in order to be able to thoroughly understand this new formula, everyone came prepared.
It took about 35 minutes for Chen Zhou to explain the new formula in this thesis.
However, it is different from the first half report in the morning.
After Chen Zhou explained the content of the PPT, he did not directly enter the questioning session.
Instead, another PPT is opened.
This is some directional thinking about the application of the new formula.
When the second PPT appeared, the eyes of everyone in the audience lit up.
They didn't expect that Chen Zhou would prepare this one more move.
And this is precisely what they are most interested in.
After all, with Chen Zhou leading the way, they will be able to better use this new formula later.
Even Faltings, Deligne, and Langlands, the big math figures, showed an expression of interest.
Chen Zhou glanced slowly at the audience, with a "sure enough" smile on his face.
How could it be possible for Chen Zhou not to know what attracted these scholars in many research fields?
Therefore, on a whim, Chen Zhou added such a PPT with directional research and application suggestions after finishing the PPT of the report meeting last night.
Chen Zhou's idea is also quite simple, just take it as a little effort to carry forward this new formula.
In any case, in future research, he will certainly not pay too much attention to this accidental discovery.
Then, in order not to bury this new formula, we can only "teach" other scholars.
Chen Zhou sorted out his thoughts, and pressed his hand slightly.
The slides on the projection screen also switched from the first page "Thinking about the Application of the Eigenvalue Eigenvector Formula" to the first application on the second page.
"The most basic application of formulas for solving eigenvalues and eigenvectors is naturally in mathematics."
"If we follow the traditional solution method, we need to calculate the characteristic polynomial, then solve the eigenvalue, then solve the homogeneous linear equation system, and finally get the eigenvector."
"But now, as long as you know the eigenvalues, and then write a simple equation, the eigenvectors can be easily solved. On the contrary, it is the same to find the eigenvalues from the eigenvectors."
"I think his theoretical value in mathematics is probably equivalent to Clem's law..."
Hearing Chen Zhou's words, many people disagreed in their hearts.
Just like the Schultz who has achieved his goal but still stayed and participated in these two lectures in a row.
He tilted his head slightly, and said to Tao Zhexuan beside him, "I think he is a little humble."
Tao Zhexuan heard this and said with a smile, "Why?"
Schultz replied: "If it is the previous theoretical value of this formula, it may not be as good as Cramer's law. I also tried to follow his paper at the beginning to study this formula."
"But I found that if the light starts from the formula itself, the eigenvector cannot be directly calculated, only the modulus of its elements can be obtained, and there is a phase loss. Moreover, the eigenvalues of each sub-matrix have to be calculated, which is no better than directly connecting n elements How much easier is the nth degree linear equation."
"However, he gave this formula a new life, and completely branded this formula, which will not be named after him, with his mark."
"Judging from the formula he extended to universal applicability, the theoretical value of this formula is definitely above Clem's law!"
Although Schultz said so much, after he finished speaking, Tao Zhexuan at the side just glanced at him lightly.
Then, he said seemingly casually: "What can appear in his hands, can it be of no value? From the time I know his name to now, he has never disappointed!"
Schultz opened his mouth, wanting to say something, but still didn't say it.
Tao Terence somewhat guessed what Schultz wanted to say.
And these words, he had already comprehended before Chen Zhou graduated from undergraduate.
After all, he was the loser of that math guessing contest.
Because Terence Tao and Schultz are sitting a little behind.
The conversation between the two was also heard by many mathematics students who squeezed into the auditorium to watch.
Some students were discussing the weight of their words.
One of them said while recalling: "Cramer's law is the basic theorem in linear algebra, right? It is the one that uses determinants to calculate the solution of n-ary linear equations?"
"If I remember correctly, it should be what you said!"
Standing beside this person, a companion wearing a pair of black-rimmed glasses helped this person confirm the contents of his memory.
"I remember my tutor told me that the important theoretical value of Clem's law is to study the relationship between the coefficients of the equation system and the existence and uniqueness of the solution of the equation system, and compared to the role of calculation, Clem The laws have great theoretical value, especially in solving differential geometry, very useful!"
This person remembered what his tutor who studied linear algebra once said.
His mentor especially admired Clem's Law.
"Well, if I remember correctly, I've read what you said in a book."
The companion wearing black-rimmed glasses helped him confirm what the instructor said in a calm voice.
The man glanced at his companion beside him, and asked with some uncertainty: "Then tell me, is it true what they said just now that the theoretical value of Professor Chen's formula is above Clem's law?" ?”
The companion didn't answer his question directly, but said in a nonchalant manner: "I'm not mistaken just now, the two people who spoke were Professor Tao Terence and Professor Schultz, do you think what they said is true? "
"What?! Those two people just now are Professor Tao Zhexuan, the all-round genius mathematician known as the highest IQ in the United States, and Professor Schulz, a German genius mathematician known as the successor of Algebraic Geometry Emperor Grothendieck??? "
This person never expected that his companion would say such a sentence in a casual manner, and he immediately exclaimed.
But soon he stopped talking and looked left and right, for fear of affecting others.
However, from the lingering eyes of this person, it can be found that he has swept Tao Zhexuan and Schultz in the front row more than once.
His companion glanced at him, and said flatly: "If I remember correctly, the appearance of those two people can be matched with the photos I have seen."
"This... If this is the case, then what should be said is true..."
Hearing this, the man stopped avoiding his eyes and stared straight at the backs of Tao Zhexuan and Schultz.
Noticing the look in this person's eyes, the companion teased softly: "Huh? If I remember correctly, you don't change your opinion so easily? And judging by your expression just now, you probably don't plan to agree with those two people's statement?"
"Uh... no, did you remember correctly? My opinion is the same as that of Professor Terence Tao and Professor Schultz? Hahahaha..." The man explained with some embarrassment.
"Oh? Is that so? Well then..." The companion withdrew his gaze and continued to look at Chen Zhou on the stage, looking at the content on the slide.
But the man asked again: "Why, don't you think so? Don't you have the same opinion as these two big brothers?"
The companion didn't look back, and said in the same flat voice: "Something is different."
The man was surprised and said: "Really? Can you have a different opinion from the two big brothers?"
Hearing this, his companion slightly turned his head to look at him. His face, which was originally very casual, had always been a flat face, but now there was a little more excitement.
Even the gaze through the black-rimmed glasses seemed a little different.
The voice fluctuated for the first time: "I don't have any other opinions. My opinion is only the same as that of Professor Chen. The theoretical value of this formula is probably equivalent to Clem's law..."
The man froze for a moment, then pouted his mouth, and said nothing more.
At this moment, Chen Zhou on the stage had already cut the slide to the fourth page.
That is the thinking of the fourth directional applied research of this formula.
"In machine learning, formulas for solving eigenvalues and eigenvectors can be used to deal with missing features."
"On the basis of a large amount of data processing, the eigenvalues of the original matrix can be used to deal with some samples or missing features in new scenarios, and then the eigenvectors can be calculated, making compression and classification more accurate..."
Chen Zhou's narration does not merely point out the directional applied research that can be carried out.
More, there are his own thinking, and the value of applied research in this direction.
Interestingly speaking, following Chen Zhou's narration, some scholars present silently took out their mobile phones.
Then, he dialed the conversation with his friend.
After the call was made, the call stayed connected without hanging up.
And the other party, after asking twice, gradually quieted down.
Surprisingly, I heard about this report meeting through the phone.
As a result, after Chen Zhou finished his lecture on machine learning, this direction of applied research.
These scholars who got on the phone, after hanging up the phone.
The other party keeps calling back...
As time passed, Chen Zhou also turned the second PPT he had prepared to the end.
There are 12 pages in total.
A total of 11, directional research and application thinking about the eigenvalue eigenvector formula.
It can be said that Chen Zhou basically fed the scholars who came to the report.
It also fully demonstrated his own thinking in the multidisciplinary field.
As a result, when Chen Zhou finished the report meeting and was about to enter the questioning session.
The eyes of everyone in the audience were all shocked.
What shocked them was that Chen Zhou had dabbled in so many research fields.
They were also curious about how Chen Zhou did it.
At least from Chen Zhou's narration of these 11 directional studies, these 11 fields involve mathematics, physics, engineering, informatics, etc.
The knowledge that Chen Zhou possesses is not superficial, even more than what some research scholars in this field have thought and grasped.
Because of this, Chen Zhou adjusted the PPT and prepared to enter the intermission of the questioning session.
Faltings and others sitting in the front position looked at each other almost at the same time.
Especially Deligne.
His mood is quite complicated.
At this moment, he is quite suspicious, is it because of these complicated researches that Chen Zhou rejected his teacher's standard conjecture?
Chen Zhou on the stage, although he was adjusting the PPT, switched back to the first page of the first PPT.
But at the same time, he was also taking time to observe the people in the audience.
When he saw the expressions on the faces of everyone in the audience, Chen Zhou looked away in satisfaction.
The expressions of these people at least showed that what he wanted had been achieved.
Compared with the rich content in the previous section, the question-and-answer session seemed a lot dull.
After all, Chen Zhou has already explained the content of the new formula paper in great detail.
In addition, as Chen Zhou said at the opening of the report.
Many people who came to this report meeting have already understood this paper.
They are more concerned with the general applicability of the new formula.
Therefore, the Q&A session passed quickly.
Few scholars asked questions.
This also means that Chen Zhou's new formula has been recognized by the mathematics community and even researchers in other fields.
There is a young scholar, probably because the report meeting has gained too much.
Or it may be because of Chen Zhou's familiarity with multiple disciplines.
It made him quite agitated.
Unable to bear the excitement, An also got up and asked a question that everyone in the room cared about but would not take the initiative to ask.
"Professor Chen, can I ask you a question outside of the report meeting?"
Chen Zhou glanced at the young scholar, nodded slightly and said, "Please tell me!"
The scholar asked with great anticipation: "Professor Chen, which mathematical problem is your next goal?"
I have to say that this question is very straightforward.
After asking this question, Chen Zhou also found that the eyes of everyone in the audience were all focused on him.
In that gaze, there is infinite curiosity and anticipation.
Chen Zhou thought for a while, then said with a smile, "As for the next target, I actually don't know."
Hearing Chen Zhou's words, the scholar, including everyone in the audience, showed a disappointed expression.
But they could also understand that whether Chen Zhou said it or not, it was Chen Zhou's own business.
At this moment, Chen Zhou's voice sounded again.
"However, for now. I think the Yang-Mills equation and gauge theory seem interesting."
Thanks to the book friends, I don’t know how to charge money for the reward of 100 starting coins!
Thanks to book friend Yan Hongxue for the 100 starting coins!
(End of this chapter)
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