Re: random points!

*To*: mathgroup at smc.vnet.net*Subject*: [mg80937] Re: random points!*From*: Ray Koopman <koopman at sfu.ca>*Date*: Thu, 6 Sep 2007 05:19:15 -0400 (EDT)*References*: <fblj4r$p97$1@smc.vnet.net>

On Sep 4, 11:42 pm, dimitris <dimmec... at yahoo.com> wrote: > Hello. > > I have the following drawing > (it is just a part of a bigger figure...) > > In[125]:= > surface = Graphics[{Thickness[0.0079], Line[{{-3.1, 0}, {3, 0}}]}]; > halfcir = Graphics[{Thickness[0.0079], Circle[{0, 0}, 0.6, {Pi, > 2*Pi}]}]; > randpoints = Table[Graphics[{PointSize[0.012], Point[{Random[Real, > {-0.42, 0.42}], Random[Real, {-0.01, -0.47}]}]}], {300}]; > Show[surface, halfcir, randpoints, AspectRatio -> Automatic]; > > How can I add as much points as possible inside the half-circle > (so that there are not so big white regions as in the previous > drawing) > assuring that they are not situated outside it? > > I think something has to be modified for randpoints above in order to > be included > a rule but currently I can't think sth. > > Thanks > Dimitris {Cos@#,Sin@#}&@Random[Real,{Pi,2*Pi}]*Sqrt@Random[Real,{0,.36}] will give a random point in the half-circle.