5.1.1 Top new questions this week

5.1.1.1 What's the default colormap (or color scheme) used in mathematica?

https://mathematica.stackexchange.com/questions/162883/whats-the-default-colormap-or-color-scheme-used-in-mathematica

 
For example, the colors used on this page: 
http://reference.wolfram.com/language/ref/ContourStyle.html 
 
or here: 
https://www.wolfram.com/mathematica/new-in-10/plot-themes/default.html 
 
or here: 
...
 

- asked by Alex (8 votes), answered by kglr (7 votes)

5.1.1.2 $ \frac  \partial^ 2  u  \partial  x ^ 2    + \frac  \partial ^ 2  u  \partial  y ^ 2    =0$ with one boundary at infinity

https://mathematica.stackexchange.com/questions/162691/frac-partial2-u-partial-x2-frac-partial-2-u-partial

 
Is there a trick to make Mathematica solve 
 
$${\frac {\partial^{2}  u}{\partial {x}^{2}}}  +{\frac 
{\partial ^{2} u}{\partial {y}^{2}}} =0$$ with one boundary condition at $\infty$? 
 
Boundary  ...
 

- asked by Nasser (8 votes), answered by ZufolgeWeierstrass (13 votes)

5.1.1.3 How to make simple closed curve that can be smoothly morphed using locators

https://mathematica.stackexchange.com/questions/162711/how-to-make-simple-closed-curve-that-can-be-smoothly-morphed-using-locators

 
Given a simple closed curve in 2D with some locators on it, I would like to have be able to stretch and squish parts of the curve by moving the locators to morph the curve into another simple closed  ...
 

- asked by Michael McCain (8 votes), answered by halirutan (12 votes)

5.1.1.4 Approximation with radial basis functions

https://mathematica.stackexchange.com/questions/162768/approximation-with-radial-basis-functions

 
I want to approximate some functions with basisfunctions, which can be easy Fourier-transformed. So I got the idea to approximate my function with Gaussian normal-distribution curves. This led me to  ...
 

- asked by pcalc (7 votes), answered by Anton Antonov (7 votes)

5.1.1.5 How to Discretize the Following Region Using Reasonable Bounds?

https://mathematica.stackexchange.com/questions/162674/how-to-discretize-the-following-region-using-reasonable-bounds

 
I want to accurately discretize the implicit equation $x^2+x+y^2+\sin(4xy)+\sin(3xy)=3.9$. 
 
To get the whole discretized shape, I'm forced to use oversized bounds {x,-70,80} and {y,-70,80} 
 
curve =  ...
 

- asked by Arbuja (7 votes), answered by Carl Woll (5 votes)

5.1.1.6 Replacement for GraphJoin

https://mathematica.stackexchange.com/questions/162900/replacement-for-graphjoin

 
According to MathWorld >> GraphJoin, Mathematica could compute the join of two graphs with the GraphJoin command, part of Combinatorica.  This command no longer works as of v10, and I cannot find a  ...
 

- asked by Bryan Clair (5 votes), answered by kglr (6 votes)

5.1.1.7 How can I make a DensityPlot3D over a triangle?

https://mathematica.stackexchange.com/questions/162852/how-can-i-make-a-densityplot3d-over-a-triangle

 
I know that I can plot over 3D-regions like balls via 
 
DensityPlot3D[(x^2 + y^2 + z^2)^2, {x, y, z}  Ball[{0, 0, 0}, 1]] 
 
 
But, not surprisingly, this breaks down for 2D-regions like triangles. 
 
How  ...
 

- asked by java4ever (5 votes), answered by rcollyer (7 votes)