- #1
ChrisVer
Gold Member
- 3,378
- 464
Hi, suppose that you have some function: [itex]F(x;a)[/itex]
where [itex]x[/itex] is the variable with which you plot the function and [itex]a[/itex] is some parameter which enters the function.
If I want to find the error coming from some uncertainty in [itex]a[/itex], computationally, I would have to plot the function for 2 different let's say values of [itex]a[/itex]: Let's say that this means to plot the functions below:
[itex]F(x;a)[/itex]
[itex]F(x;2a)[/itex]
Then I believe the error then can can be computed by (their difference):
[itex]F(x;2a)-F(x;a)[/itex]
as well as (their fluctuation)
[itex]\frac{F(x;2a)-F(x;a)}{F(x;a)}[/itex]
Which of these two are best for a plotting? Is there some physical meaning behind any of these two? like they are showing something different to the reader?
where [itex]x[/itex] is the variable with which you plot the function and [itex]a[/itex] is some parameter which enters the function.
If I want to find the error coming from some uncertainty in [itex]a[/itex], computationally, I would have to plot the function for 2 different let's say values of [itex]a[/itex]: Let's say that this means to plot the functions below:
[itex]F(x;a)[/itex]
[itex]F(x;2a)[/itex]
Then I believe the error then can can be computed by (their difference):
[itex]F(x;2a)-F(x;a)[/itex]
as well as (their fluctuation)
[itex]\frac{F(x;2a)-F(x;a)}{F(x;a)}[/itex]
Which of these two are best for a plotting? Is there some physical meaning behind any of these two? like they are showing something different to the reader?