3.12.1 Top new questions this week

3.12.1.1 The paradigm behind Dynamic and related functionality
3.12.1.2 Bug with iterated With: Referring to function arguments invalidates previous definitions
3.12.1.3 How to quickly find all grid cells covered by a geometric region?
3.12.1.4 Cone Trees: map a graph onto geometric shape
3.12.1.5 Evaluate expressions within Vim
3.12.1.6 Non newtonian calculus
3.12.1.7 How could I perform Region or Polygon Clipping in mathematica?
3.12.1.1 The paradigm behind Dynamic and related functionality

http://mathematica.stackexchange.com/questions/126471/the-paradigm-behind-dynamic-and-related-functionality

 
Dynamic and the related functionality strikes me as a very unique way to build quick and dirty personal GUIs which are great for experimentation. 
 
I suspect that this is only because of my lack of  ...
 

- asked by Szabolcs (24 votes), answered by Leonid Shifrin (21 votes)

3.12.1.2 Bug with iterated With: Referring to function arguments invalidates previous definitions

http://mathematica.stackexchange.com/questions/126425/bug-with-iterated-with-referring-to-function-arguments-invalidates-previous-def

 
G[x_] := With[{a = 0}, With[{b = x}, a]] 
G @ 0 
F[x_] := With[{a = 0}, {b = x}, a] 
F @ 0 
 
 
gives 
 
 
0 
a 
 
 
I would expect both to behave exactly the same. 
 
 
 
It seems that referring to the parameter  ...
 

- asked by masterxilo (20 votes), answered by Kuba (20 votes)

3.12.1.3 How to quickly find all grid cells covered by a geometric region?

http://mathematica.stackexchange.com/questions/126346/how-to-quickly-find-all-grid-cells-covered-by-a-geometric-region

 
I'm trying to compute a complete set of unit grid cells ("pixels") which a geometric region covers at least partially. I have constructed a method that produces correct results: 
 
With[{reg =  ...
 

- asked by kirma (14 votes), answered by george2079 (9 votes)

3.12.1.4 Cone Trees: map a graph onto geometric shape

http://mathematica.stackexchange.com/questions/126657/cone-trees-map-a-graph-onto-geometric-shape

 
Question 
 
Is it possible to map a Graph onto a geometric object such as a Cone? 
 
Motivation 
 
Visualizing large trees can be tedious, especially when limited to the confines of the printed page. One  ...
 

- asked by SumNeuron (13 votes), answered by Szabolcs (18 votes)

3.12.1.5 Evaluate expressions within Vim

http://mathematica.stackexchange.com/questions/126449/evaluate-expressions-within-vim

 
I want to be able to type a quick Mathematica expression, such as 
 
 
550/3. (e.g. common math), 
Sum[i, {i, 0, n}]//TeXForm//ToString (e.g. writing LaTeX document), or 
{55, 1, 10, 40, 9}//Total (e.g.  ...
 

- asked by Andrew MacFie (11 votes), answered by Andrew MacFie (11 votes)

3.12.1.6 Non newtonian calculus

http://mathematica.stackexchange.com/questions/126730/non-newtonian-calculus

 
I would like to define a new operator say 
 
$\text{stard}[f[x]] = \lim_{h\rightarrow 0}\left(\frac{f[x+h]}{f[x]}\right)^{\frac{1}{h}}$ 
 
I think it must be done with an upvalue but I do not know how to  ...
 

- asked by cyrille.piatecki (10 votes), answered by Szabolcs (18 votes)

3.12.1.7 How could I perform Region or Polygon Clipping in mathematica?

http://mathematica.stackexchange.com/questions/126463/how-could-i-perform-region-or-polygon-clipping-in-mathematica

 
I need to clip several regions reg: like Rectangle, Polygon, Ellipse... 
My goal isn't to plot the clipping but to have a representation of each new region. 
 
I searched if there was any package or  ...
 

- asked by A.M. (10 votes), answered by george2079 (4 votes)