4.3.1 Top new questions this week

4.3.1.1 How to rotate the curve but not the axes?

http://mathematica.stackexchange.com/questions/135376/how-to-rotate-the-curve-but-not-the-axes

 
I have a such graphic: 
 
data = {{0, 5}, {1.9, 7.5}, {0, 12}, {-5, 15.5}, {-1.2, 33.4}}; 
p=Plot[Interpolation[Reverse /@ data, x, InterpolationOrder -> 2], {x, 
0, 55}, Epilog -> {Red,  ...
 

- asked by yode (11 votes), answered by kglr (11 votes)

4.3.1.2 Function to draw densely interconnected layers in graph (e.g., neural net)

http://mathematica.stackexchange.com/questions/135354/function-to-draw-densely-interconnected-layers-in-graph-e-g-neural-net

 
I can use Graph[] to manually draw the shape of a very simple set of interconnected layers (for instance, a small neural network): 
 
Graph[{1 -> 3, 2 -> 3, 1 -> 5, 2 -> 5, 1 -> 4, 2  ...
 

- asked by Larry OBrien (11 votes), answered by kglr (12 votes)

4.3.1.3 An Intersection function on lists that saves intersection positions

http://mathematica.stackexchange.com/questions/135583/an-intersection-function-on-lists-that-saves-intersection-positions

 
I would like an intersection function on lists like Intersection that also stores the coordinates of the intersections. For instance for {a,b,c} and {b,c,e} would give something like  ...
 

- asked by Kvothe (9 votes), answered by ciao (9 votes)

4.3.1.4 Combining lists of lists with random structure

http://mathematica.stackexchange.com/questions/135238/combining-lists-of-lists-with-random-structure

 
I have two lists which I would like to combine. One is of a random structure, which might be: 
 
l1={{3, 2, 4, 2}, {2, 3}, {4, 3}, {{2, 2}}, {{3, 3}}, {3, 2}} 
 
 
where the elements in each sublist may  ...
 

- asked by Jonathan Shock (9 votes), answered by Mr.Wizard (7 votes)

4.3.1.5 Slicing an Association with named key span without normalizing?

http://mathematica.stackexchange.com/questions/135092/slicing-an-association-with-named-key-span-without-normalizing

 
Is there way to slice an Association with named key span? 
 
Span currently doesn't accept named keys: 
 
<|"z" -> 1, "x" -> 2, "b" -> 3, "a" -> 4|>  // Query["x" ;; "a"] 
 
 
 
...
 

- asked by alancalvitti (9 votes), answered by Mr.Wizard (11 votes)

4.3.1.6 Finding Ramanujan's taxicab numbers

http://mathematica.stackexchange.com/questions/135128/finding-ramanujans-taxicab-numbers

 
How to find Hardy-Ramanujan Numbers by using Mathematica? 
 
 
Definition: 
Taxicab number is defined as the smallest number that can be expressed as a sum of two positive cubes in $n$ distinct ways. 
...
 

- asked by vito (9 votes), answered by vito (6 votes)

4.3.1.7 Area of surface of revolution

http://mathematica.stackexchange.com/questions/135358/area-of-surface-of-revolution

 
I am asked to rotate the curve $y=\sqrt{4-x^2}$ from $x=-1$ to $x=1$ about the x-axis and find the area of the surface. I was able to use RevolutionPlot3D to show the surface. 
 
RevolutionPlot3D[Sqrt[4  ...
 

- asked by David (7 votes), answered by corey979 (10 votes)