1.12 Thursday, February 18, 2021

1.12.1 Top new questions this week

How to create a spiral using Golden Triangles

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239914

Working with students in a pre-calculus class, an application of the sine law. They are working on a question that has them create a Golden Triangle (A golden triangle is an isosceles triangle in ...

asked by Tom De Vries https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=721 14 votes

answered by J. M.’s ennui https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=50 14 votes

How to modify default options of Dataset

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239960

I try to make a dark stylesheet based on the ReverseColor theme. However, dataset headers are barely readable.

This question is related to others such as Question ...

asked by Vly https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=47700 9 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 8 votes

How to use Filling in PolarPlot?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239946

For example: PolarPlot[{1, 1 + 1/10 Sin[10 t]}, {t, 0, 2 Pi}]

how to fill color in the space between 2 functions?

asked by DORA https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=74396 8 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 11 votes

How to reduce timing to find the integer numbers a, b, c, d, e, f, g, h, k, m of this equation?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239874

I use by hand to get this result \[\sqrt {48+5 \sqrt {3}+\sqrt {27+4\sqrt {3}+\sqrt {12+3 \sqrt {3}+\sqrt {4+2\sqrt {3}}}}}=1+4 \sqrt {3}\]

asked by minhthien_2016 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5320 7 votes

answered by yarchik https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9469 6 votes

How to extract a column (or a row) of a matrix as another column vector/ column matrix (or a row vector), not as a list?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=240123

Suppose I have a matrix ’mat’ as

mat = Table[Subscript[m, i, j], {i, 5}, {j, 5}]; 
mat // MatrixForm

I want to extract the first column (or any row) as

asked by PoreyS https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=54258 6 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 6 votes

Intuitive explanation of RemoteBatchSubmit[] in AWS for total novices?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=240149

When I read Wolfram’s post about the new features in MMA 12.2 I was intrigued by RemoteBatchSubmit[]. He wrote:

I have only ever used MMA from my laptop, and never used any other cloud computing or ...

asked by TumbiSapichu https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53229 6 votes

Solving a 2D heat equation on a square with Dirichlet boundary conditions

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=240090

I am trying to solve the following heat equation problem on the square [0,1]x[0,1]. 
\begin{equation*}  \begin{gathered}  u_t = u_{xx} + u_{yy} + f(x,y,t), \qquad  u(x,y,0) = 0, \qquad  u=0 \text{ on ...

asked by kroner https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=77278 6 votes

answered by Nasser https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=70 7 votes

1.12.2 Greatest hits from previous weeks

Crack CAPTCHA using deep learning

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=143691

Deep convolutional neural networks are very good at computer vision related tasks. Optical Character Recognition (OCR) is one important branch of computer vision. In fact, the convolution neural ...

asked by xslittlegrass https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1364 88 votes

answered by xslittlegrass https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1364 98 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

Generate a Unit Circle Trigonometry

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=2456

Struggling often with Trigonometry I would like to have some code to generate this Unit Circle Trigonometry. Would be of great help when I need to transform some data :

asked by 500 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=172 18 votes

answered by Mark McClure https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36 32 votes

Exporting graphics to PDF - huge file

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=1542

I want to draw some basic surfaces, export them to PDF and include them in a LaTeX file. I create a simple 3D graphics object, for instance with

asked by Matthew Leingang https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=395 109 votes

answered by Heike https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=46 88 votes

How to make the digits of go around in a spiral like this?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=109982

Here is a start.

MapIndexed[Text[Reverse[First[RealDigits[Pi,10,252]]][[Tr@#2]],#]&, 
 Table[{t Cos[t],t Sin[t]},{t,0,16Pi,0.2}]]//Graphics

asked by matrix89 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5379 57 votes

answered by Martin Ender https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=2305 73 votes

How to create a new "person curve"?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=17704

Wolfram|Alpha has a whole collection of parametric curves that create images of famous people. To see them, enter WolframAlpha["person curve"] into a Mathematica ...

asked by Simon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34 85 votes

answered by Vitaliy Kaurov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=13 45 votes

How do I plot a plane EM wave?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=1987

I would like to display an electromagnetic (EM) wave. I have written code that works, but it does not "shade" the area between the graph and the axes. Both the ...

asked by Rainforest Frog https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=202 22 votes

answered by J. M.’s ennui https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=50 16 votes

1.12.3 Can you answer these questions?

Unpacking list of arguments into parameters

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=240016

I have a list in the following form:  list = {{a,1,3},{b,1,3},{c,1,3}}

Now I want to apply this list as parameters for the Sum function so that I end up with the ...

asked by Hell stormer https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=77333 1 vote

Can one preset credentials for ServiceConnect["Twitter", "New"] to allow wolframscript headless use?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=240056

Trying to run some wolframscript code from a server, is it possible to set ServiceConnect credentials in the environmental variables for example?

asked by Tim https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=416 3 votes

Warnings while solving a system of coupled differential equations

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239861

I have a system of differential equations, given by

asked by No name https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=69573 1 vote