4.37.1 Top new questions this week

4.37.1.1 Finite element mesh not resolving features
4.37.1.2 Are the mail settings as given in preferences still programmatically accessible in V 11.2
4.37.1.3 Implement fractional Laplacian
4.37.1.4 Blur, GaussianFilter and ImageConvolve doesn't work on some images
4.37.1.5 Error and uncertainty propagation: Is using Precision/Accuracy a sound strategy?
4.37.1.6 Unexpected behavior using `ReplaceAll[]` for nested lists
4.37.1.7 What are the possible Method option values for plotting functions?
4.37.1.1 Finite element mesh not resolving features

https://mathematica.stackexchange.com/questions/156174/finite-element-mesh-not-resolving-features

 
I am trying to make a finite element mesh in 2D. The features are not found by ToElementMesh. This is a shelf bracket with nails. I build the region using RegionDifference and RegionUnion and the  ...
 

- asked by Hugh (11 votes), answered by Young (9 votes)

4.37.1.2 Are the mail settings as given in preferences still programmatically accessible in V 11.2

https://mathematica.stackexchange.com/questions/156183/are-the-mail-settings-as-given-in-preferences-still-programmatically-accessible

 
In versions before 11.2 (and after 9) one could get the current settings as defined in the preferences (Internet & Email -> Mail Settings) with Options[SendMail]. As the options for SendMail have  ...
 

- asked by Albert Retey (11 votes), answered by rhermans (9 votes)

4.37.1.3 Implement fractional Laplacian

https://mathematica.stackexchange.com/questions/156420/implement-fractional-laplacian

 
What is a way to implement the Fractional Laplacian with Mathematica? 
 
How can we apply such implementation to numerically solve the problem 
 
$$(-\Delta)^su = 1 \text{ in } B_1(0), \\ 
u = 0 \text{ in  ...
 

- asked by Jay (9 votes), answered by Henrik Schumacher (14 votes)

4.37.1.4 Blur, GaussianFilter and ImageConvolve doesn't work on some images

https://mathematica.stackexchange.com/questions/156210/blur-gaussianfilter-and-imageconvolve-doesnt-work-on-some-images

 
In versions 8.0.4 and 9.0.1 applying Blur to an image gives expected result: 
 
img = Import["http://i.stack.imgur.com/UsJTa.png"] 
 
blurred = Blur[img, 5] 
 
ColorSeparate[blurred] 
 
 
 
 
 
 
 
 
 
 
But  ...
 

- asked by Alexey Popkov (9 votes), answered by Alexey Popkov (11 votes)

4.37.1.5 Error and uncertainty propagation: Is using Precision/Accuracy a sound strategy?

https://mathematica.stackexchange.com/questions/156481/error-and-uncertainty-propagation-is-using-precision-accuracy-a-sound-strategy

 
Questions 
 
 
What are the available resources to deal with experimental error and uncertainty propagation in Mathematica? 
Given that Mathematica already uses linearized model of error propagation on  ...
 
- asked by rhermans 8votes
4.37.1.6 Unexpected behavior using `ReplaceAll[]` for nested lists

https://mathematica.stackexchange.com/questions/156538/unexpected-behavior-using-replaceall-for-nested-lists

 
ReplaceAll[] might lead to unexpected behavior (at least it surprised me). 
I use ReplaceAll[] to convert a list (basically data cleanup). 
 
For the command: 
 
{{1, "2"}, {2, "3"}} /. {x_, _ } :> {x,  ...
 

- asked by Dennis (7 votes), answered by Szabolcs (9 votes)

4.37.1.7 What are the possible Method option values for plotting functions?

https://mathematica.stackexchange.com/questions/156475/what-are-the-possible-method-option-values-for-plotting-functions

 
Many plotting functions have a Method options with descriptions like this: 
 
 
Plot: "the method to use for refining curves" 
RegionPlot: "the method to use for refining regions" 
ContourPlot: "the method  ...
 
- asked by Szabolcs 7votes