Questions tagged [around]
The around tag has no usage guidance.
41
questions
6
votes
2
answers
279
views
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
2
votes
0
answers
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
5
votes
1
answer
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
5
votes
2
answers
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
4
votes
2
answers
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
0
votes
1
answer
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
1
answer
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}};
(...
user88712
2
votes
1
answer
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
6
votes
1
answer
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
14
votes
2
answers
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
12
votes
2
answers
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
5
votes
1
answer
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 ...
3
votes
1
answer
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 ...
2
votes
2
answers
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
...
0
votes
0
answers
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
4
votes
1
answer
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
6
votes
2
answers
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
0
votes
1
answer
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.
...
- 1
6
votes
2
answers
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
4
votes
1
answer
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 ...
19
votes
3
answers
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
4
votes
3
answers
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
1
answer
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
0
votes
0
answers
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
3
votes
0
answers
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
7
votes
0
answers
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
6
votes
3
answers
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
2
votes
1
answer
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
3
votes
2
answers
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, ...
- 63
4
votes
0
answers
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
0
answers
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
...
4
votes
0
answers
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 ...
4
votes
1
answer
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
6
votes
1
answer
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
2
votes
2
answers
65
views
6
votes
1
answer
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
11
votes
1
answer
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
23
votes
1
answer
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
2
votes
0
answers
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 ...
- 27.7k
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 ...
- 291
18
votes
2
answers
603
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 ...
- 4,024