Questions tagged [around]

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9 votes
1 answer
106 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 ...
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5 votes
1 answer
108 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 ...
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3 votes
1 answer
72 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 ...
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2 votes
2 answers
72 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 ...
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0 votes
0 answers
29 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 ...
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  • 988
3 votes
1 answer
41 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 ...
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  • 575
6 votes
2 answers
187 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-...
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  • 575
0 votes
1 answer
61 views

Scientific digits in plots without chaniging original data format

I want to write axises in scientific digits, without changing the original data format. ...
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  • 1
6 votes
2 answers
98 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. ...
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  • 3,553
4 votes
1 answer
271 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 ...
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18 votes
3 answers
536 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 ...
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4 votes
2 answers
238 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 ...
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  • 467
1 vote
1 answer
153 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 ...
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  • 467
0 votes
0 answers
38 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 $H0*H0$...
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  • 585
1 vote
0 answers
91 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}...
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  • 304
7 votes
0 answers
59 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: ...
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  • 145
6 votes
3 answers
215 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 ...
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  • 28.7k
2 votes
1 answer
243 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}] ...
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  • 585
2 votes
2 answers
421 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, ...
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4 votes
0 answers
68 views

Does AroundReplace work with Quantity?

When I try to use AroundReplace with units it issues Around::compat message and outputs something strange: ...
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  • 183
1 vote
0 answers
96 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 ...
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4 votes
0 answers
38 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 ...
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4 votes
1 answer
63 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 ...
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  • 988
6 votes
1 answer
160 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 ...
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  • 585
2 votes
2 answers
56 views

ListLogPlot with uncertainties in both coordinates

I have a dataset like this: ...
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  • 900
6 votes
1 answer
144 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 ...
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  • 453
11 votes
1 answer
337 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 ...
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  • 2,291
23 votes
1 answer
351 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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  • 7,666
1 vote
0 answers
99 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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  • 16.6k
13 votes
3 answers
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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  • 291
17 votes
2 answers
511 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 ...
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  • 3,600