Questions tagged [error-propagation]
The error-propagation tag has no usage guidance.
18
questions
-2
votes
1answer
32 views
Error of a function containing complex numbers
Please, what is the statistical error formula of the function f (uncertainty) by Mathematica code:
a=x+I y ; b=u+I v;
f=Abs[a]^2+Abs[b]^2;
20
votes
0answers
205 views
How to get an absolute value of Around?
Around is a useful feature of Mathematica 12 to work with uncertain data.
x = Around[-1, {0.5, 1.5}]
$-1.0^{+1.5}_{-0.5}$
...
1
vote
0answers
58 views
How do the Around and AroundReplace commands work with the complexes?
Let us consider
s = Around[1, 0.2] + I*Around[2, 0.3]
Around[
Complex[1., 2.], 0.36055512754639896`]
What does it mean? The documentation to the Around ...
13
votes
3answers
932 views
How does the Around command at zero work?
I enter:
Around[0,0.5]^2
and I get 0.
This is a bit strange. Around[0,0.5] is supposed to represent numbers between -0.5 and 0.5. So by my estimates the square ...
1
vote
2answers
63 views
Estimating the uncertainty in the slope of a straight line given the uncertainty in the data points
Basically I have some datapoints on the form $(x_i,y_i)$
...
1
vote
1answer
57 views
Error propagation with complex number [duplicate]
I have an expression of a physical observable in which some input parameters are taken. The corresponding errors of these input parameters are given. To get the error of this observable what code I ...
16
votes
2answers
329 views
Around usage results
Why is
Around[10, 1]^2
+- 20
and
Around[10, 1] Around[10, 1]
giving 100 +- 14 ?
Just curious I would suspect them to ...
10
votes
1answer
138 views
Why does Success[…][key] work and Failure[…][key] doesn't work?
I'm trying to figure out what is a quick way to add error reporting to my user defined functions. I was experimenting with Success and ...
0
votes
0answers
53 views
Error plotting in 2D
I have some data: along Y axis: 5.86*10^(-8),2.56*10^(-8),3.21*10^(-8) with error 0.58, 0.25 and 0.32 respectively.
along X axis: there are some range corresponding each value of Y axis such as:
0.1-...
0
votes
0answers
46 views
error bar plotting with some range
In the following pic I want to show the error bar plotting with some given data: Y axis: 5.86*10^(-8) with error .58*10^(-8) and X axis: 0.1 to 2 (that means there is a range), 2.56*10^(-8) with error ...
1
vote
2answers
134 views
0
votes
0answers
55 views
How to use “Chop” kind of operation on whole mathematica file
In an array of steps including logarithms and integrations, I am finding the problem of small imaginary parts of some o/p's which are complicating/inhibiting the further steps.
I found that "Chop" ...
3
votes
1answer
168 views
Propagate error through `FindFit`
I have several sampled points $(x_i, y_i)$ with mutually independent error on the y coordinate $\sigma_{y_i}$. For simplicity, I'm assuming no error in the x coordinates ($\sigma_{x_i} \ll \sigma_{...
1
vote
0answers
103 views
Determining the intersection of two functions with errors on parameters
Let's assume I want to calculate the intersection points of two functions $f(x)$ and $g(x)$. That is simple enough, I define my functions, e.g. like so and use Solve...
18
votes
2answers
693 views
Error and uncertainty propagation: Is using Precision/Accuracy a sound strategy?
Questions
What are the available resources to deal with experimental error and uncertainty propagation in Mathematica?
Given that Mathematica already uses linearized model of error propagation on ...
0
votes
0answers
114 views
Error propagation with NDSolve and periodic boundary conditions
I'm trying to solve the problem of heat conduction through soil with periodic temperature variations on the surface.
For now I'm working with a 1D model but I see that the solution doesn't work, it ...
5
votes
1answer
788 views
24
votes
4answers
1k views
Create an adaptive amount of local variables for error propagation
I intend to write a function which calculates the result and the error for any formula with any amount of variables using the Gauß Error Propagation.
The error $\mathrm{d}R$ for a function $A(a,b,c)$ ...
