2.4 Thursday, December 3, 2020

2.4.1 Top new questions this week
2.4.2 Greatest hits from previous weeks
2.4.3 Can you answer these questions?

2.4.1 Top new questions this week

Interpolation on an unstructured mesh
Tower of Pisa function
How can I ingest and analyze benchmark results posted at MSE?
Construct a polyhedron from the coordinates of its vertices and calculate the area of each face
Make an InterpolatingFunction periodic
How do I place the Clock arrows inside this clock face?
How can I sketch a right-angled triangle?

Interpolation on an unstructured mesh

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235681

This may have a duplicate but I have spent some time looking and can’t find it. I have experimental data in the form of { {x1, y1, z1}, {x2, y2, z2}...} I wish to interpolate it so my thoughts turned ...

asked by Hugh https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=12558 10 votes

answered by user21 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=18437 8 votes

Tower of Pisa function

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235495

I’m trying to construct a ’smooth’ function \(f : \mathbb {R}^2 \longrightarrow [0,1]\) such that all level sets \[\{ x | f(x)=y\}\] are circles in a way that \(f\) looks like the ’Leaning Tower of Pisa’.

asked by darksun https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75863 10 votes

answered by fwgb https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=44151 7 votes

How can I ingest and analyze benchmark results posted at MSE?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235390

How can I ingest Mathematica / WL benchmark results posted at Mathematica Stack Exchange (MSE), like the ones posted here? Assumptions:

There are multiple answers with benchmarks posted

asked by Anton Antonov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34008 10 votes

answered by Anton Antonov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34008 12 votes

Construct a polyhedron from the coordinates of its vertices and calculate the area of each face

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235524

I have the 3D coordinates for a set of points. I want to construct the convex polyhedron with those points as vertices.

I know I can use functions like DelaunayMesh

asked by Dennis https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=69969 9 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 7 votes

Make an InterpolatingFunction periodic

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235403

Interpolation can make an InterpolatingFunction periodic with the option ...

asked by Chris K https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=6358 8 votes

answered by Michael E2 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4999 3 votes

How do I place the Clock arrows inside this clock face?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235711

I am trying to program a clock, I have the face I want and the hands but I can not seem to put them together so they work.....

asked by Struggling Student https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75041 7 votes

answered by Anton Antonov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34008 6 votes

How can I sketch a right-angled triangle?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235413

I would like to replicate this ellipse, but with a right-angled triangle (with smooth/rounded corners). The formula for this ellipse:

asked by nightcape https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75304 7 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 7 votes

2.4.2 Greatest hits from previous weeks

Elegant operations on matrix rows and columns
Positioning axes labels
How to create word clouds?
How do I clear all user defined symbols?
What does # mean in Mathematica?
How to manipulate 2D plots?
How to make an inkblot?

Elegant operations on matrix rows and columns

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3069

Question

The Mathematica tutorial has a section ’Basic Matrix Operations’, describing operations like transpose, inverse and determinant. These operations all work on entire matrices. I am missing a ...

asked by sjdh https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=515 180 votes

answered by Mr.Wizard https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=121 61 votes

Positioning axes labels

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=87388

I need to change the position of my axes labels such that the y-axis label is in the middle and parallel to the y-axis. I’d also like the x-axis label to be in the middle of the x-axis rather than ...

asked by John_dydx https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7849 15 votes

answered by Virgil https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=27697 16 votes

How to create word clouds?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=2334

Word clouds are rather useless fancy and visually appealing plots, where words are plotted with different sizes according to their frequency in a corpus. Many applications exist out there (Wordle, ...

asked by István Zachar https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89 145 votes

answered by Heike https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=46 119 votes

How do I clear all user defined symbols?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=850

Is there some way to do this other than going to Evaluation -> Quit kernel and firing a new one up?

asked by niklasfi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=82 97 votes

answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 95 votes

What does # mean in Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=19035

I asked Mathematica to compute the following

Solve[c (1-x)^2-x^(1/4) == 0, x]

and it returned this:

  x = Root[#1^8 c^4 - 8 #1^7 c^4 + 28 #1^6 c^4 - 56 #1^5 c^4 

asked by ronanymous https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5730 38 votes

answered by Dr. belisarius https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=193 64 votes

How to manipulate 2D plots?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=7142

When it comes to visual analysis, large datasets or data with intricate internal details often makes plotting in 2D useless, as the outcome is either just a fraction of the full dataset, or no details ...

asked by István Zachar https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89 134 votes

answered by István Zachar https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89 154 votes

How to make an inkblot?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3345

How to effectively create a polygon that looks like a realistic inkblot? So far, I could come up with this (borrowing from Ed Pegg Jr.’s Rorschach demonstration):

asked by István Zachar https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89 86 votes

answered by Sjoerd C. de Vries https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=57 51 votes

2.4.3 Can you answer these questions?

What is the fastest way to get the lowest eigenvalue and corresponding eigenstate in Mathematica?
How do I get built-in functions to use custom objects as if they were e.g. List?
How to speed up this code (finding eigenvector with smallest eigenvalue)?

What is the fastest way to get the lowest eigenvalue and corresponding eigenstate in Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235678

I tried to use the Arnoldi method to get the smallest eigenvalue and corresponding eigenstate for large matrix. However, Arnoldi did not give me the desired result:

asked by lol https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=40838 2 votes

How do I get built-in functions to use custom objects as if they were e.g. List?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235391

(This is part 2 of my earlier question, Can I overload Part for specific heads (a la overloaded array subscripting)?, which was well-answered as asked.)

Overview: My goal is to create a custom object -...

asked by Josh Helzer https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75893 3 votes

How to speed up this code (finding eigenvector with smallest eigenvalue)?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235775

I have following code. The function TraceSystem is to take partial trace of matrix and I think this part is fine. The main code is below in dd and I think the main problem is in here for Eigenvector. ...

asked by lol https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=40838 1 vote