Talk:Constrained random points on a circle: Difference between revisions
Talk:Constrained random points on a circle (view source)
Revision as of 19:16, 3 September 2010
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::: theta=rand() should be fine, but I'm having a mental block figuring out what to multiply r by to fix its distribution. atan(r)? --[[User:Short Circuit|Michael Mol]] 18:02, 3 September 2010 (UTC)
:::: Since <math>\mathrm{d}^2 r = r \mathrm{d}r \mathrm{d}\phi</math> and <math>2 r \mathrm{d}r = \mathrm{d}(r^2)</math>, I'd say <math>r^2</math> should be evenly distributed between <math>r_{min}^2</math> and <math>r_{max}^2</math>, and you then of course get <math>r</math> by taking the square root. However note that this is basically a brain dump. --[[User:Ce|Ce]] 19:16, 3 September 2010 (UTC)
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