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Chapter 257 Thanks again! (Ask for a monthly pass, subscribe!)
Chapter 257 Thanks again! (Ask for a monthly pass, subscribe!)
When lim is at an absolute value.
The relationship between f(x1) and f(x0) can be written as...
The performance equation can be listed as: f(x0)=limx0(f(x0+x)-f(x0))/x.
……
For five days in a row, Fang Chao sealed himself in the room and never went out.
The progress on the waveguide function is also slowly advancing every day.
Progress 20%.
Progress 37%.
Every day, the calculations about the waveguide function are slowly approaching completion under Fang Chao's calculations.
This is not a specific interval function, but just an example of a function equation that Fang Chao thought of.
Although it is not as great as cracking the conjecture, it is a problem-solving method of a specific function, born from ideas, and gradually approaching perfection due to operations.
Zheng Meiling bought bread and water and placed them at Fang Chao's door. He opened them and put them directly into the room.
No one can disturb Fang Chao now. Fortunately, Fang Chao didn't lock the door. Zheng Meiling occasionally secretly opened the door a crack. When she saw that her son was still moving, she felt a little relieved and not so nervous.
Fourth day.
Day [-].
The progress has reached 72%.
Up to now, the closer to the later stage, the equations have already been listed, and the real remaining 20% is just to analyze the equations that have not been solved before, and calculate how to get to this step, this is the depth dissect.
On the sixth day, the progress reached 97%.
And at ten o'clock in the morning on the seventh day, the progress reached 99%.
Can't get any closer!
99%!
This is the limit that Fang Chao can reach, and it is also the ultimate that he can achieve.
Even if Fang Chao was given more time, Fang Chao couldn't get any closer to the waveguide function. He reached 90% yesterday morning, but he only completed 7% of the progress in a whole day.
That night he was overwhelmed, but it took him ten hours to complete the remaining 3% and 2%.
Of course, this is the functional step that he considers perfect. If he wants to rate himself, it must be 100 points, but in terms of progress, it can only be 99%!
The remaining 1% is because this functional equation has not been affirmed by professionals, and there are bound to be some omissions in it, but this problem is not something that Fang Chao can discover, and his level has not yet reached the stage of self-assessment.
Mathematics LV4 level, unable to complete this step!
Naturally, even others cannot improve the progress to 100% on the topic they have thought of. Even if a mathematician completes a conjecture, as long as there is no proof, the progress will always be only 99%!
Of course, the highest level is infinitely close to 100%, or 99.999999...%.
However, in the field of mathematics, as long as it has not been demonstrated, it is basically defined as 99%.
For seven days in a row, Fang Chao was unkempt, his whole body looked very sloppy, and even a little beard grew out... This is not yet full, and he has already begun to have the symbol of an adult.
Fang Chao knew that he had grown up.
He will soon no longer be a 17-year-old minor, and in a few months, he will be an adult.
I am so tired, everyone has already become a doctor, but what about me?Still doing nothing...
Forget it, let’s settle the matter in front of us first.
For the waveguide function, he has completed all the steps himself, but needs a checker.
There is no way to find this person in the high school, because the level is not enough. Although Lao Zheng is good, but he is good at physics, and there is no way to provide Fang Chao with a professional opinion on mathematics.
When thinking of this, Fang Chao took out his mobile phone and made a call.
After the phone rang a few times, it was picked up, and a slightly surprised voice rang out, "Chao'er, what's the matter? Why did you suddenly think of calling me? Didn't I just leave for ten days? Yes Do you want me to teach you how to pick up girls? No problem, but when did you get the hang of it?"
Hearing Shen Lang's familiar tone, Fang Chao felt cordial, and even his body, which had been busy for seven days without rest, felt a warmth at this time.
You are not afraid of working alone. What you are most afraid of is that no one can share the results of working alone.
If you want to have an appetite, you must have sufficient attainments in mathematics. Among the people Fang Chao knows, Shen Lang is the only one he knows.
"No, Brother Lang, it's like this. I have been thinking about a question these days, that is, if there are two functions with approximately equal values, then when they are in equilibrium, does there exist a solution and multiple functions? There is no solution, or there is no solution.
On the other hand, this question is somewhat similar to Schrödinger's cat, but quantum mechanics is too complicated, and what I am studying is just a function question, and its answer is within an interval, so there are not two extremes. The answer is life or death. When I thought of this function, I spent seven days listing its various equations. Unfortunately, my level is limited and I don’t know if the direction of my research is wrong, so I would like to ask Brother Lang Please help me take a look. I wonder if Brother Lang has time? "
Shen Lang gave Fang Chao great help during his ten days in Rongcheng, and now that he has left, Fang Chao wants to ask the other party for something. Speaking of which, Fang Chao feels that he owes Shen Lang a lot, and Shen Lang is almost Help him as much as you can without asking for anything in return.
Now that he was asking for help from the other party, Fang Chao was somewhat embarrassed, but he didn't know anyone else except Shen Lang.
Professor Lin can do it, but will he read an analysis of a function problem written by a high school student?
If you have not reached a certain level, you will not have that qualification.
It's like wanting to publish mathematics works in some well-known mathematics journals. You also need to go through layers of screening. If you can't even pass the first pass, let alone the follow-up matters.
After listening to Fang Chao's words, Shen Lang smiled and said, "You can do it, I was not at your level when I was in high school, and I was able to ask and answer questions. I'm not free today, but you can start Give it to me, I'll help you look at it tomorrow."
Shen Lang agreed to Fang Chao's request again, which made Fang Chao very happy and excited.
"Thank you, Brother Lang."
"Don't be too happy, if you want to pick up girls, I will accept this thank you, but if it involves academic issues, I will not show mercy. If the last function is full of mistakes and omissions, I will not treat you Polite."
"I know, so please, Brother Lang."
[Fang Chao: Please subscribe! !Please! ! 】
(End of this chapter)
When lim is at an absolute value.
The relationship between f(x1) and f(x0) can be written as...
The performance equation can be listed as: f(x0)=limx0(f(x0+x)-f(x0))/x.
……
For five days in a row, Fang Chao sealed himself in the room and never went out.
The progress on the waveguide function is also slowly advancing every day.
Progress 20%.
Progress 37%.
Every day, the calculations about the waveguide function are slowly approaching completion under Fang Chao's calculations.
This is not a specific interval function, but just an example of a function equation that Fang Chao thought of.
Although it is not as great as cracking the conjecture, it is a problem-solving method of a specific function, born from ideas, and gradually approaching perfection due to operations.
Zheng Meiling bought bread and water and placed them at Fang Chao's door. He opened them and put them directly into the room.
No one can disturb Fang Chao now. Fortunately, Fang Chao didn't lock the door. Zheng Meiling occasionally secretly opened the door a crack. When she saw that her son was still moving, she felt a little relieved and not so nervous.
Fourth day.
Day [-].
The progress has reached 72%.
Up to now, the closer to the later stage, the equations have already been listed, and the real remaining 20% is just to analyze the equations that have not been solved before, and calculate how to get to this step, this is the depth dissect.
On the sixth day, the progress reached 97%.
And at ten o'clock in the morning on the seventh day, the progress reached 99%.
Can't get any closer!
99%!
This is the limit that Fang Chao can reach, and it is also the ultimate that he can achieve.
Even if Fang Chao was given more time, Fang Chao couldn't get any closer to the waveguide function. He reached 90% yesterday morning, but he only completed 7% of the progress in a whole day.
That night he was overwhelmed, but it took him ten hours to complete the remaining 3% and 2%.
Of course, this is the functional step that he considers perfect. If he wants to rate himself, it must be 100 points, but in terms of progress, it can only be 99%!
The remaining 1% is because this functional equation has not been affirmed by professionals, and there are bound to be some omissions in it, but this problem is not something that Fang Chao can discover, and his level has not yet reached the stage of self-assessment.
Mathematics LV4 level, unable to complete this step!
Naturally, even others cannot improve the progress to 100% on the topic they have thought of. Even if a mathematician completes a conjecture, as long as there is no proof, the progress will always be only 99%!
Of course, the highest level is infinitely close to 100%, or 99.999999...%.
However, in the field of mathematics, as long as it has not been demonstrated, it is basically defined as 99%.
For seven days in a row, Fang Chao was unkempt, his whole body looked very sloppy, and even a little beard grew out... This is not yet full, and he has already begun to have the symbol of an adult.
Fang Chao knew that he had grown up.
He will soon no longer be a 17-year-old minor, and in a few months, he will be an adult.
I am so tired, everyone has already become a doctor, but what about me?Still doing nothing...
Forget it, let’s settle the matter in front of us first.
For the waveguide function, he has completed all the steps himself, but needs a checker.
There is no way to find this person in the high school, because the level is not enough. Although Lao Zheng is good, but he is good at physics, and there is no way to provide Fang Chao with a professional opinion on mathematics.
When thinking of this, Fang Chao took out his mobile phone and made a call.
After the phone rang a few times, it was picked up, and a slightly surprised voice rang out, "Chao'er, what's the matter? Why did you suddenly think of calling me? Didn't I just leave for ten days? Yes Do you want me to teach you how to pick up girls? No problem, but when did you get the hang of it?"
Hearing Shen Lang's familiar tone, Fang Chao felt cordial, and even his body, which had been busy for seven days without rest, felt a warmth at this time.
You are not afraid of working alone. What you are most afraid of is that no one can share the results of working alone.
If you want to have an appetite, you must have sufficient attainments in mathematics. Among the people Fang Chao knows, Shen Lang is the only one he knows.
"No, Brother Lang, it's like this. I have been thinking about a question these days, that is, if there are two functions with approximately equal values, then when they are in equilibrium, does there exist a solution and multiple functions? There is no solution, or there is no solution.
On the other hand, this question is somewhat similar to Schrödinger's cat, but quantum mechanics is too complicated, and what I am studying is just a function question, and its answer is within an interval, so there are not two extremes. The answer is life or death. When I thought of this function, I spent seven days listing its various equations. Unfortunately, my level is limited and I don’t know if the direction of my research is wrong, so I would like to ask Brother Lang Please help me take a look. I wonder if Brother Lang has time? "
Shen Lang gave Fang Chao great help during his ten days in Rongcheng, and now that he has left, Fang Chao wants to ask the other party for something. Speaking of which, Fang Chao feels that he owes Shen Lang a lot, and Shen Lang is almost Help him as much as you can without asking for anything in return.
Now that he was asking for help from the other party, Fang Chao was somewhat embarrassed, but he didn't know anyone else except Shen Lang.
Professor Lin can do it, but will he read an analysis of a function problem written by a high school student?
If you have not reached a certain level, you will not have that qualification.
It's like wanting to publish mathematics works in some well-known mathematics journals. You also need to go through layers of screening. If you can't even pass the first pass, let alone the follow-up matters.
After listening to Fang Chao's words, Shen Lang smiled and said, "You can do it, I was not at your level when I was in high school, and I was able to ask and answer questions. I'm not free today, but you can start Give it to me, I'll help you look at it tomorrow."
Shen Lang agreed to Fang Chao's request again, which made Fang Chao very happy and excited.
"Thank you, Brother Lang."
"Don't be too happy, if you want to pick up girls, I will accept this thank you, but if it involves academic issues, I will not show mercy. If the last function is full of mistakes and omissions, I will not treat you Polite."
"I know, so please, Brother Lang."
[Fang Chao: Please subscribe! !Please! ! 】
(End of this chapter)
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