       Re: random points!

• To: mathgroup at smc.vnet.net
• Subject: [mg80935] Re: random points!
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Thu, 6 Sep 2007 05:18:14 -0400 (EDT)
• Organization: Uni Leipzig
• References: <fblj4r\$p97\$1@smc.vnet.net>

```Hi,

the simplest would be:

randpoints =
Table[Graphics[{PointSize[
0.012], (x = {Random[Real, {-0.6, 0.6}],
Random[Real, {0.0, -0.6}]};
If[Sqrt[x.x] < 0.6, Point[x], {}])}], {300}];
Show[surface, halfcir, randpoints, AspectRatio -> Automatic]

but there are specific methods to generate random numbers in a circle.

Regards
Jens

dimitris wrote:
> Hello.
>
> I have the following drawing
> (it is just a part of a bigger figure...)
>
> In:=
> 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
>
>

```

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