1.15.1 Top new questions this week

1.15.1.1 How to create a spiral using Golden Triangles
1.15.1.2 How to modify default options of Dataset
1.15.1.3 How to use Filling in PolarPlot?
1.15.1.4 How to reduce timing to find the integer numbers a, b, c, d, e, f, g, h, k, m of this equation?
1.15.1.5 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?
1.15.1.6 Intuitive explanation of RemoteBatchSubmit[] in AWS for total novices?
1.15.1.7 Solving a 2D heat equation on a square with Dirichlet boundary conditions
1.15.1.1 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

1.15.1.2 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

1.15.1.3 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

1.15.1.4 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

1.15.1.5 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

1.15.1.6 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

1.15.1.7 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