Questions tagged [error-propagation]

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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;
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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}] $-1.0^{+1.5}_{-0.5}$ ...
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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
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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
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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
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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
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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
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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 ...
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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
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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 ...
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2answers
134 views
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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
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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_{...
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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
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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 ...
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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
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1answer
788 views

Error propagation code

I have a code for error propagation :- ...
24
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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 $A(a,b,c)$ ...