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Questions about the use of built-in Mathematica functions, including pure functions.

3 votes
2 answers
2k views

Need to create a function to generate all permutations of Range[$n$] [duplicate]

Basically I need a function that takes a list and gives all the possible permutations of it. The reason I can't use Permutations is that I have to apply another program that will score each permutati …
Ryan Summers's user avatar
6 votes
5 answers
2k views

Generate random points in a region with higher probability in a sub-region

I am trying to generate random samples of points in the unit square in such a way that points inside a given circle are twice as likely to be selected as points outside of that circle. I tried to app …
Ryan Summers's user avatar
2 votes
1 answer
447 views

Detecting a nonlinear edge in a 2D point pattern

Following an earlier post here, I have generated a point pattern on the unit square $[0,1]\otimes[0,1]$, which is described by a piecewise constant intensity function constructed so that (in expectati …
Ryan Summers's user avatar