1.8 Thursday, March 25, 2021

1.8.1 Top new questions this week
1.8.2 Greatest hits from previous weeks
1.8.3 Can you answer these questions?

1.8.1 Top new questions this week

Head[x] vs x[[0]]?
How to roll a graph on the y-axis
Numerically solving Helmholtz equation in 2D for a Guitar
How to draw the tree in a "pitchfork" form?
Digitizing a geometrical sensor
How Can I Compute The Automorphism Group of a Matroid?
How to make a circular heat map or diagram in Mathematica?

Head[x] vs x[[0]]?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=242183

Can we say Head[x] and x[[0]] are identical ? In mathematica manual I could find : ’The head is the part with index 0’

But I am not sure whether Head[x] are x[[0]] are really interchangeable in any ...

asked by imida k https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34532 15 votes

answered by Leonid Shifrin https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=81 13 votes

How to roll a graph on the y-axis

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=242180

I want to roll the function f(x)=sqrt(x), x[0,1] along the y-axis. I know how to rotate the graph around a point, but I’m not sure how to rotate along an axis in 2D. Rotating around a point e.g. (0,...

asked by Guy Foxx https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75736 14 votes

answered by cvgmt https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=72111 17 votes

Numerically solving Helmholtz equation in 2D for a Guitar

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=242138

Hi I am new to using Mathematica, so am not too confident. I am essentially trying to model vibrations of a guitar sound board for a project. It would be great to get some visualisations of the ...

asked by sp96 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=77970 11 votes

answered by Tim Laska https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=61809 8 votes

How to draw the tree in a "pitchfork" form?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=242140

How to set the options or other parameters in a TreePlot to draw the branching outside of the vertex? I.e. in a form similar to a dendrogram (but the dendrogram plot itself does not support the ...

asked by Slepecky Mamut https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=48033 10 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 9 votes

Digitizing a geometrical sensor

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=242186

I want to quantify the flow from photos taken from a sensor such as this one:

For a limited number of readings, I can use a plot digitization method. However, I need to do this many times for ...

asked by MathX https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=38575 9 votes

answered by MelaGo https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=63360 10 votes

How Can I Compute The Automorphism Group of a Matroid?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=242030

I want to compute the automorphism group of a matroid. This reduces to the following (more general) problem: Suppose I have a list of sets \(\{\{b_{11},\dots ,b_{1k}\},\dots ,\{b_{k1},\dots ,b_{kk}\}\}\) ...

asked by Madeline Brandt https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=51040 7 votes

answered by Madeline Brandt https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=51040 6 votes

How to make a circular heat map or diagram in Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=242425

Is there any way to make a circular heat map in Mathematica? Thanks for your help! Here is a toy example for regular heat map. Can anyone help me make it to a circular one?

asked by Frankie https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=70269 6 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 4 votes

1.8.2 Greatest hits from previous weeks

How can I draw the Olympic rings with Mathematica??
Plot, extract data to a file
What does "Tag Integer is Protected" message mean?
Selecting every n-th element from a list
Labeling individual curves in Mathematica
Help find a bright object on Mars!
Plotting the frequency spectrum of a data series using Fourier

How can I draw the Olympic rings with Mathematica??

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=8885

How can I draw the 5 interlocking Olympic rings with Mathematica? (SVG version) Edit

Hard choice, but some pretty cool answers here. I didn’t have 3D answers in mind when I posted the question, but ...

asked by Mike Honeychurch https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=77 44 votes

answered by cormullion https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=61 23 votes

Plot, extract data to a file

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=19859

I need to save data that Mathematica uses inside the Plot command. The format that I would like to have is:

asked by molkee https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5097 30 votes

answered by Mr.Wizard https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=121 47 votes

What does "Tag Integer is Protected" message mean?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=6738

(Newbie question)

For every function I define I get this message: When I close and reopen Mathematica, and re-enter the function definition, I don’t get the message anymore. What does it mean?

asked by stevenvh https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1450 11 votes

answered by J. M.’s ennui https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=50 13 votes

Selecting every n-th element from a list

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=64003

I have a list:

data = {4, 5, 7, 8, 9, 5, 3, 2, 1, 2, 13, 12};

I want to take those elements in the list which are located at equal distances, say, every third ...

asked by Suro https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=20003 37 votes

answered by Szabolcs https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=12 33 votes

Labeling individual curves in Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=4444

I need to create a plot for export and inclusion in a report. Is there a better way to label curves than PlotLegends? From what I’ve read and my personal experience,...

asked by Tianxiang Xiong https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1041 63 votes

answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 47 votes

Help find a bright object on Mars!

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=11819

In today’s news, scientists found a bright object on one of Curiosity’s photos (it’s near the bottom of the picture below). It’s a bit tricky to find - I actually spent quite some time staring at the ...

asked by Victor K. https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1351 201 votes

answered by Niki Estner https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=242 261 votes

Plotting the frequency spectrum of a data series using Fourier

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=18082

testData = Table[N@Sin[500 x], {x, 0, 100}]; 
ListLinePlot[Abs[Fourier[testData]], PlotRange -> Full]

Gives me Which I do not expect because the Fourier ...

asked by C. E. https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=731 14 votes

answered by KennyColnago https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=3246 16 votes

1.8.3 Can you answer these questions?

Is the fancy script ’C’ mathscrC available in Mathematica?
FormFunction output automatic download
Generating a lattice by \(N^{th}\) iteration of unit cell

Is the fancy script ’C’ mathscrC available in Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=242074

In mathjax \mathscr{C} gives me the character $\mathscr{C}$ that I want. There is a UTF listing for this character. https://www.compart.com/en/unicode/U+1D49E If I copy form this webpage and paste ...

asked by Steven Thomas Hatton https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=44139 2 votes

FormFunction output automatic download

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=242097

I want to create a FormFunction that takes in a CSV file, applies some operations on the data and outputs another CSV file. I would like for the ouput CSV file to be automatically downloaded. I have a ...

asked by Gabriel Landi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=347 1 vote

Generating a lattice by \(N^{th}\) iteration of unit cell

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=242436

This question is in continuation of the my previous question that was not clearly presented by me at all. I have a unit cell, and I would like to generate a lattice but in iterative order. For ...

asked by L.K. https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=15927 1 vote