All-round mathematician
Chapter 117 Linear Algebra with Everyday Applications
Chapter 117 Linear Algebra with Everyday Applications
Swearing, homework still needs to be done.Chen Jixiu's version was spread out on the table, and he took out four exercise books from the desk.
Four thick exercise books were pressed on the table like bricks. Yang Fan was taken aback, it was too exaggerated, but he didn't speak.
But my heart is even colder. It is so difficult to score in freshmen and sophomores. Can the so-called ten-year plan really keep up?He's a bit lacking in confidence, it's better to find other faster methods.
"Which book should I start with?" Su Junan asked.
"Thank you, I am Mizuki's person after all, so you have to give me some face first."
This is a set of exercises in a blue book cover, written by Xie Huimin on the cover.
Five minutes later, Pan Zhe threw the pen away, jumped up, and yelled ferociously: "Fucking old Xie, I don't have an answer to any question. If there is an answer, go to the last step. It's obvious. Fuck you, it's obvious." .”
These four words, nakedly showing off IQ, slapped Pan Zhe in the face.Xueba's face was swollen from the beating, it was ridicule and malice.
He was puzzled and kicked the stool hard.
"Calm down, calm down, Pan Zhe." Su Jun'an quickly stood up and straightened the chair, put his hands on the shoulders of the furious classmate, and pressed it back to its original position, saying: "If you can't do it, change another one. Let's take a look at Pei Liwen." of."
After venting, the matter is over, and the homework will continue. Pan Zhe adjusted his mood, nodded to his classmates, and said, "Okay, I heard that Lao Pei's exercise set is quite highly rated."
"Old Pei's book is not good at all, it's a bit unfathomable. Others say that good medicine is necessary for the postgraduate entrance examination. Xie Huimin's book, it can follow the progress of the textbook, the difficulty is low, the only bad thing is that there is no answer."
There are four exercise books, and Su Junan pointed to the remaining two books and said, "Xu Senlin, the disadvantage is that there are too many symbols and less explanations. Where symbols can be used, words are absolutely not used. They look painful and pretend to be mysterious. The advantages are There are multiple answers to one question. As for Zhou Minqiang, the answers to his shortcomings are too simple, and he is even more deceptive than Lao Xie."
"Let's just book it. Counting points is a hanging thing. No student has ever said it is easy. There must be something wrong." Pan Zhe lamented, no matter how many complaints there are, for the sake of the certificate, he still has to do the questions.
Yang Fan, who was watching the news on the website, was actually paying attention to the movements of the two of them. He was a little confused when he heard several strange names in succession.
For just one class, four reference problem sets are required, which is really an exaggeration.
"Are high numbers really useless in life?"
Yang Fan also heard people say that advanced mathematics is widely used in the computer field, and it is even more useful in cutting-edge science.
Ordinary people don't need programming to get in touch with computers, they just need to know how to operate software.As for cutting-edge science, what does it have to do with folks?
While thinking, he randomly clicked on the software webpage and so on, thinking about where it might be useful.
XP system, when I clicked on the drawing software, my heart suddenly moved.
"Who said it's useless? Isn't linear algebra applied to Windows graphics."
As for the line generation, his proficiency has reached more than 60. Among them, regarding the content of the matrix, because he tested the Galaxy array, he deliberately brushed it many times, and he is very familiar with it.
Thinking of this, he opened the Fit search and came to the line generation bar.
After logging into his account, an ID name was displayed on the upper right corner of the web page, which made him a little ashamed—the great scientist Big Big Wolf.
Once, he also passed the second grade. When he was young, he happened to be on the hit show of Xi Yang and Big Big Wolf. He had no love for Xi Yang who was playing tricks, and the old village chief was too ugly.
But Big Big Wolf with a cross scar on his face is particularly fond of it.Big Big Wolf is determined, and in order to catch sheep, he invented countless unimaginable black technologies.
In the end, it ended in failure every time, but it was noticed by Yang Fan, who aspired to become a scientist when he was young.
"Operation Big Big Wolf has never been successful, but the black technology he invented, not to mention Yangcun, the earth can be destroyed many times. There are even time machines and so on. Oh my god. In the field of applied physics, Hawking A few blocks away from him."
Now is not the time to bring up memories, he browses the page of Tieba and browses casually.
"Great God, please answer this question."
"Whether this approach is right or not, someone will help me see."
"The highest order non-zero subform."
"Who has a video of Dr. Monkey's lecture on linear algebra, please."
Most of the posts are asking for help, a few are academic exchanges, and there are even 360-degree Thomas turning around and begging naked in the ice and snow.
Yang Fan murmured in a low voice: "It's true that high numbers hit people. The two seniors around me are no problem. I thought the seniors were of medium difficulty. It turned out that I ignored the factors of the two masters of the college entrance examination. Teacher Feng was right."
At this time, he was not interested in solving the problem of other people begging naked. Thinking of that inspiration, he immediately opened a new post:
"Some people say that the line generation is boring, and the equations and matrices are all useless. I have some gains today, so I will share them with my brothers.
Send it directly. Yang Fan played very well in the post bar. Many people like to be the title party in the first post.
"Wait for Brother Wolf, Amway."
"Da Neng is in class, brothers copy guys."
"Catch up with the live broadcast, come quickly."
……
The popularity of the posting bar is not bad, and there are people who post up after the end of the post. The tall and cold male god squeezed his chin and said to himself: "Look at you gangsters who are eager to study, brother wolf is here to show off your IQ."
Resuming my post, I wrote: "You may not have used Windows drawing software, but you must know it. In fact, this drawing software contains a magical function of line generation, which realizes 28-degree rotation."
"Yes, you read that right. It is very simple to rotate a two-dimensional image by 28 degrees directly in the software."
"Wow, master, just wait."
"I've never heard of it, I use soy sauce."
……
The post continued: "In the early small image editing software, considering the limitations of time and space, coupled with the difficulty of the algorithm itself, many seemingly very simple functions could not be realized, and the user was only allowed to rotate the selected content by 90 degrees , 180 degrees or 270 degrees, does not support any degree of rotation, this kind of low-level difficulty, Brother Wolf is not interested in popularizing it."
"Choose an area in the picture at will, then select "Image" → "Stretch/Distort" on the menu bar, and then fill in an integer between -89 and 89 in "Horizontal Distortion"... First, the horizontal distortion is -14 degrees, then 25 degrees vertically, and -14 degrees horizontally."
"It's that simple, why? This is because the essence of distortion is actually to perform a linear transformation on the original image."
"Here is a linear algebra matrix algorithm. Continuously execute three twists in the above formula to achieve a rotation of θ degrees. Among them, the first twist and the third twist are both horizontal twists - θ/2 degrees..."
After the post was posted, the followers immediately went crazy.
"It's true, I tried it just now, and it definitely works."
"Hang, oh my god."
"It's amazing, it's amazing, the image software actually uses line generation."
"The line code must have other uses, but we didn't find it."
"Worship the Great God, can you help me solve this problem..."
The post went wrong immediately, and the following are all kinds of calculation questions.
Where does Brother Wolf have the interest to help with the questions? If you have the time, you might as well do it a few more times to count the points. This is really difficult.
The great scientist Big Big Wolf became famous in the online generation bar, and disappeared into the sky ever since.
Then someone checked the ID's previous posts, all of which were nearly a year ago.
"Ask for *** seeds." "How to get to the king rank without paying money."
"Who has Thunder Temporary VIP?" "Which one is easier to use, Baofengyingyin or ****?"
Since then, eternal legends have been left in the line generation bar, and technology nerds have changed the world.
(End of this chapter)
Swearing, homework still needs to be done.Chen Jixiu's version was spread out on the table, and he took out four exercise books from the desk.
Four thick exercise books were pressed on the table like bricks. Yang Fan was taken aback, it was too exaggerated, but he didn't speak.
But my heart is even colder. It is so difficult to score in freshmen and sophomores. Can the so-called ten-year plan really keep up?He's a bit lacking in confidence, it's better to find other faster methods.
"Which book should I start with?" Su Junan asked.
"Thank you, I am Mizuki's person after all, so you have to give me some face first."
This is a set of exercises in a blue book cover, written by Xie Huimin on the cover.
Five minutes later, Pan Zhe threw the pen away, jumped up, and yelled ferociously: "Fucking old Xie, I don't have an answer to any question. If there is an answer, go to the last step. It's obvious. Fuck you, it's obvious." .”
These four words, nakedly showing off IQ, slapped Pan Zhe in the face.Xueba's face was swollen from the beating, it was ridicule and malice.
He was puzzled and kicked the stool hard.
"Calm down, calm down, Pan Zhe." Su Jun'an quickly stood up and straightened the chair, put his hands on the shoulders of the furious classmate, and pressed it back to its original position, saying: "If you can't do it, change another one. Let's take a look at Pei Liwen." of."
After venting, the matter is over, and the homework will continue. Pan Zhe adjusted his mood, nodded to his classmates, and said, "Okay, I heard that Lao Pei's exercise set is quite highly rated."
"Old Pei's book is not good at all, it's a bit unfathomable. Others say that good medicine is necessary for the postgraduate entrance examination. Xie Huimin's book, it can follow the progress of the textbook, the difficulty is low, the only bad thing is that there is no answer."
There are four exercise books, and Su Junan pointed to the remaining two books and said, "Xu Senlin, the disadvantage is that there are too many symbols and less explanations. Where symbols can be used, words are absolutely not used. They look painful and pretend to be mysterious. The advantages are There are multiple answers to one question. As for Zhou Minqiang, the answers to his shortcomings are too simple, and he is even more deceptive than Lao Xie."
"Let's just book it. Counting points is a hanging thing. No student has ever said it is easy. There must be something wrong." Pan Zhe lamented, no matter how many complaints there are, for the sake of the certificate, he still has to do the questions.
Yang Fan, who was watching the news on the website, was actually paying attention to the movements of the two of them. He was a little confused when he heard several strange names in succession.
For just one class, four reference problem sets are required, which is really an exaggeration.
"Are high numbers really useless in life?"
Yang Fan also heard people say that advanced mathematics is widely used in the computer field, and it is even more useful in cutting-edge science.
Ordinary people don't need programming to get in touch with computers, they just need to know how to operate software.As for cutting-edge science, what does it have to do with folks?
While thinking, he randomly clicked on the software webpage and so on, thinking about where it might be useful.
XP system, when I clicked on the drawing software, my heart suddenly moved.
"Who said it's useless? Isn't linear algebra applied to Windows graphics."
As for the line generation, his proficiency has reached more than 60. Among them, regarding the content of the matrix, because he tested the Galaxy array, he deliberately brushed it many times, and he is very familiar with it.
Thinking of this, he opened the Fit search and came to the line generation bar.
After logging into his account, an ID name was displayed on the upper right corner of the web page, which made him a little ashamed—the great scientist Big Big Wolf.
Once, he also passed the second grade. When he was young, he happened to be on the hit show of Xi Yang and Big Big Wolf. He had no love for Xi Yang who was playing tricks, and the old village chief was too ugly.
But Big Big Wolf with a cross scar on his face is particularly fond of it.Big Big Wolf is determined, and in order to catch sheep, he invented countless unimaginable black technologies.
In the end, it ended in failure every time, but it was noticed by Yang Fan, who aspired to become a scientist when he was young.
"Operation Big Big Wolf has never been successful, but the black technology he invented, not to mention Yangcun, the earth can be destroyed many times. There are even time machines and so on. Oh my god. In the field of applied physics, Hawking A few blocks away from him."
Now is not the time to bring up memories, he browses the page of Tieba and browses casually.
"Great God, please answer this question."
"Whether this approach is right or not, someone will help me see."
"The highest order non-zero subform."
"Who has a video of Dr. Monkey's lecture on linear algebra, please."
Most of the posts are asking for help, a few are academic exchanges, and there are even 360-degree Thomas turning around and begging naked in the ice and snow.
Yang Fan murmured in a low voice: "It's true that high numbers hit people. The two seniors around me are no problem. I thought the seniors were of medium difficulty. It turned out that I ignored the factors of the two masters of the college entrance examination. Teacher Feng was right."
At this time, he was not interested in solving the problem of other people begging naked. Thinking of that inspiration, he immediately opened a new post:
"Some people say that the line generation is boring, and the equations and matrices are all useless. I have some gains today, so I will share them with my brothers.
Send it directly. Yang Fan played very well in the post bar. Many people like to be the title party in the first post.
"Wait for Brother Wolf, Amway."
"Da Neng is in class, brothers copy guys."
"Catch up with the live broadcast, come quickly."
……
The popularity of the posting bar is not bad, and there are people who post up after the end of the post. The tall and cold male god squeezed his chin and said to himself: "Look at you gangsters who are eager to study, brother wolf is here to show off your IQ."
Resuming my post, I wrote: "You may not have used Windows drawing software, but you must know it. In fact, this drawing software contains a magical function of line generation, which realizes 28-degree rotation."
"Yes, you read that right. It is very simple to rotate a two-dimensional image by 28 degrees directly in the software."
"Wow, master, just wait."
"I've never heard of it, I use soy sauce."
……
The post continued: "In the early small image editing software, considering the limitations of time and space, coupled with the difficulty of the algorithm itself, many seemingly very simple functions could not be realized, and the user was only allowed to rotate the selected content by 90 degrees , 180 degrees or 270 degrees, does not support any degree of rotation, this kind of low-level difficulty, Brother Wolf is not interested in popularizing it."
"Choose an area in the picture at will, then select "Image" → "Stretch/Distort" on the menu bar, and then fill in an integer between -89 and 89 in "Horizontal Distortion"... First, the horizontal distortion is -14 degrees, then 25 degrees vertically, and -14 degrees horizontally."
"It's that simple, why? This is because the essence of distortion is actually to perform a linear transformation on the original image."
"Here is a linear algebra matrix algorithm. Continuously execute three twists in the above formula to achieve a rotation of θ degrees. Among them, the first twist and the third twist are both horizontal twists - θ/2 degrees..."
After the post was posted, the followers immediately went crazy.
"It's true, I tried it just now, and it definitely works."
"Hang, oh my god."
"It's amazing, it's amazing, the image software actually uses line generation."
"The line code must have other uses, but we didn't find it."
"Worship the Great God, can you help me solve this problem..."
The post went wrong immediately, and the following are all kinds of calculation questions.
Where does Brother Wolf have the interest to help with the questions? If you have the time, you might as well do it a few more times to count the points. This is really difficult.
The great scientist Big Big Wolf became famous in the online generation bar, and disappeared into the sky ever since.
Then someone checked the ID's previous posts, all of which were nearly a year ago.
"Ask for *** seeds." "How to get to the king rank without paying money."
"Who has Thunder Temporary VIP?" "Which one is easier to use, Baofengyingyin or ****?"
Since then, eternal legends have been left in the line generation bar, and technology nerds have changed the world.
(End of this chapter)
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