# 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;
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}] $-1.0^{+1.5}_{-0.5}$ ...
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 ...
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 ...
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 $(x_i,y_i)$ ...
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 ...
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 ...
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 ...
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-...
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 ...
134 views

### Error propagation in finding full width at half maximum

I have an equation given by: ...