# Questions tagged [around]

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### Error bars in ListPolarPlot

I am trying to visualise my data in polar coordinates including error bars. This with Mathematica 12 and the function Around. However, ...
• 63
85 views

### NonlinearModelFit of data with errors

Experimental data points invariably come with errors. These errors can significantly influence the parameters and their uncertainties when performing non-linear fitting. However, NonlinearModelFit ...
• 3,501
186 views

### Why is Around omitted when the uncertainty is zero?

I have a list of values with errors and I use Around[x, dx]. Some of those values have an error of zero though. Mathematica removes the ...
• 53
361 views

### NIntegrate a discrete data set with uncertainties

Consider a data set with some numerical uncertainty in the y-values, such as the following ...
• 2,119
124 views

### Change the color of error bars

I need to have a plot with different colors for each data. Since I couldn't have all the data in one Plot with different colors, I drew each separately and used the Show command for the overall ...
• 167
87 views

### Why doesn't Mathematica plot the data with uncertainties? [closed]

I'm trying to plot experimental data, but including uncertainties in the plot doesn't work. The data gets plotted properly when not including the uncertainties. Heres's the data without uncertainties: ...
1 vote
97 views

### Equal space between log2 ticks on x-axis

I have the following set of data: data = {{4, 2, 0.0001}, {8, 3, 0.0001}, {16, 8, 0.0001}, {31, 18, 4}, {63, 31, 8}, {125, 53, 3}, {250, 75, 4}, {500, 88, 2}}; (...
104 views

### How to set IntervalMarkersStyle differently for error bars in x and y directions

I would like to have the error bars in x and y directions rendered in different styles. I know how to style them both in the ...
• 977
197 views

### VectorAround problem

I am trying to replicate an example give here of correlated variables (it's similar to a more complex problem I'm working on). I've included the example data and method for convenience: ...
• 710
426 views

### Number of significant digits in uncertainty of Around

Around[100.123456, 0.12] gives 100.12±0.12 But Around[100.123456, 0.42] gives ...
• 17.3k
218 views

### Applying Style to Around objects

How do I apply Style to Around objects? Are there any workarounds, resource functions or custom solutions available? Thanks for ...
• 56.1k
162 views

### Evaluating PlusMinus to 2 decimal answers

How do I evaluate and expand an expression containing PlusMinus such that: N[PlusMinus[1, 1]] returns 2, 0 I'm stuck at ...
100 views

### Bug with ScientificForm[] and Around[]?

I'm using Mathematica 12.3. You can use ScientificForm[] to display a number using scientific notation irregardless of its magnitude. When using ...
370 views

### How do I extract only the value of all elements in a list of 'Around' as a new list? [closed]

Lets say I have a list of Around values: A = Table[i RandomReal[], {i, 1, 10}] Aerr = 0.1 A ...
59 views

### Around with multiple errors

To my knowledge, Around only deals with one error. That means it can't deal with multiple sources of errors. For example, a number may have both statistic ...
• 1,050
77 views

### What is Around assuming when propagating asymmetric uncertainties?

When exploring Around and others related, there's not much documentation when it comes to propagation of asymmetric uncertainties. I've tried calculating ...
• 645
860 views

### Correlated uncertainties

navigating through the docs. of Around one can read in the details that When Around is used in computations, uncertainties are by default propagated using a first-...
• 645
72 views

### Scientific digits in plots without chaniging original data format

I want to write axises in scientific digits, without changing the original data format. ...
139 views

### Format data consistently with Around

I don't like that Around uses two different styles to display data. Depending on the magnitude it seems to either use 0.123456(78) or it uses 0.12345 $\pm$ 0.00067. ...
• 4,651
768 views

### Around error propagation

I understand that when Around is used in computations, uncertainties are by default propagated using a first-order series approximation, assuming no correlations. On the other hand this makes it ...
612 views

### Mathematica 12.x: Don't use Accumulate or Differences on Around objects!

Bug introduced in 12.0 or earlier and persisting through 12.2 or later It seems we've discovered a bug! The following is a summary of the problem and possible workarounds. Scroll down to ORIGINAL ...
• 541
731 views

### Applying an exponential decay fit with uncertainties

I have some data from a radioactive decay experiment that I'm trying to fit an exponential decay curve on that will take account of the uncertainties on the data, and then ideally return the data for ...
• 505
1 vote
285 views

### ListPlot with Uncertainties [closed]

How do I go about using ListPlot (or anything that allows me to make a basic graph and plot an exponential decay curve on it later) with uncertainties? As a minimal ...
• 505
40 views

### Problem understanding the output of Around

I'm working with Mathematica 12. I have a simple example H0= Around[a,b] I calculate $H0^2$, and the output is $H0^2 = a^2 \pm 2 Abs[a b]$ Next I calculate $H0*H0$...
• 585
194 views

### Computing the Mean of Around Values

I understand the computation of the uncertainty of independent Around values to be based on the following first order approximation  \delta f(x,y)=\sqrt{\left(\frac{\text{$\delta$f}}{\partial x}...
• 334
84 views

### BarChart does not display asymmetric error bars correctly

BarChart seems to read the uncertainty in elements the other way around. The object: Around[5, {1, 10}] is evaluated as . However, when you use it in a BarChart, the uncertainties are swapped: ...
• 327
362 views

### Higher order Around, for large error propagation

TLDR question: How to redefine Around to work with higher order approximation. Motivation From the documentation Around ...
• 37k
516 views

### Plotting with "Around"

I have a number with certain uncertainty a1 = Around[1, 0.1] I try to plot a function with this number Plot[a1*x, {x, 0, 1}] ...
• 585
989 views

### Using Around to create a ListPlot with errorbars

I'm new at this program,and I have a simple question. In the previus edition of Mathematica I used ErrorBars or ErrListPlot that allowed me plotting data with errorbars. Now I use Around and ListPlot, ...
73 views

### Does AroundReplace work with Quantity?

When I try to use AroundReplace with units it issues Around::compat message and outputs something strange: ...
• 183
1 vote
101 views

### Pleasantly Dynamic Property of Around

It's a rare occurrence when an improper lexicon is mete with forgiveness when coding. However, I was pleasantly surprised to stumble across the fact that ...
46 views

### Does Around work in ListLogLinearPlot?

I would like to create a plot with logarithmic x-axis, where the data has uncertainty in the x value. It's working fine with small negative y values, but when they're below ...
76 views

### Around formatting won't work with a imaginary number and small error

The new function of Mathematica 12, Around, is a replacement of the obsolete ErrorBar function from ...
• 1,050
191 views

### Using Around with NDSolve

I was trying to obtain the same result of a differential equation with to different methods the first one is based on DSolve and the second one is based on ...
• 585
65 views

### ListLogPlot with uncertainties in both coordinates

I have a dataset like this: ...
• 942
284 views

### Control width of IntervalMarkers in ListPlot

I am creating a scatter plot with error bars in Mathematica 12 using IntervalMarkers -> "fences". Is there a simple way to increase the width of the top and ...
• 453
381 views

### What is the best way to use errors in mathematica M12?

Since ErrorListPlot has been superseded by new functionality in ListPlot for Mathematica 12.0, what is the best way to handle ...
• 2,530
456 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}] $-1.0^{+1.5}_{-0.5}$ ...
• 7,876
106 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 ...
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1k 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 ...
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