18 questions linked to/from How to generate random points in a region?
671 views

### Generating random points on a Klein's bottle [duplicate]

There is a neat way in Mathematica to generate random points on a sphere. Note that "randomness" is defined (somewhat not mathematically strictly) so that the points must be evenly distributed over ...
708 views

### How do I draw random points from a region [duplicate]

as the title,this problem have confused me a whole day.If I have a region,how can I yield a random member in this region.The region such as ...
771 views

### Uniform distribution on unit circle [duplicate]

I need a uniform distribution on the unit circle (x; y) : x^2 + y^2 <= 1 with the density f(x) = (2/Pi) Sqrt[1-x^2] ...
253 views

### Sampling Points Between Two Functions and Plotting Sample Points? (I have partial code) [duplicate]

I want to sample random points between $Cos(x)$ and $Sin(x)$ on $0 \le x\le \frac \pi4$ I was able to do graph the function here in Mathematica. I would like to count, and then plot points between ...
50 views

### How to take a point randomly from a region [duplicate]

I want to take some points randomly by the limits above, I had try to use FindInstance method but it always out (0,0) ...
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### How to sample points randomly below a curve? [duplicate]

How can I randomly select 1000 points uniformly from the shaded area below the plotted curve? Plot[1/π Cos[θ]^2, {θ, 0, 2 π}, Filling -> Bottom]
1k views

### obtaining random element of a set given by multiple inequalities

I try to obtain random elements from a set given by multiple inequalities. This is of general interest to me, but let me present one example here: I have multiple inequalities specifying half spaces ...
1k views

### How to generate approximately equally spaced points efficiently

I don't very content with current method.So a better solution is expected still.I hope it meet two conditions in following. That space is approximately equivalence. We can control how many points to ...
1k views

### Generating uniform random points over a binary image

So I recently read this excellent post about generating random points over arbitrary regions. I hope Wolfram eventually builds that functionality into Mathematica's ...
1k views

### How to find all data points within closed curve

I want to find all data points inside curve as given below: ...
437 views

### Graphing random points on the XY-plane

I am trying to generate around 10-20 points on the xy- plane in the domain $[-10,10]\times[-10,10]$ (in 3D) and I am having trouble. I want to draw the plane in 3D, graph the random (they do not have ...
549 views

### How to generate certain number of random points in a convex hull mesh?

I am a newbie to Mathematica. I have some 2D point data, and I generated a ConvexHullMesh from it. Now, I want to generate a certain number of random points within ...
206 views

### ImplicitRegion gives arbitrary boundaries

This question uses Mathematica 10.2.0.0. equation1 is the major unbounded region I would like to generate: ...
I want to check the following theorem by using Mathematica: $\textbf{Theorem}$. If three point $P,Q,R$ are picked independently at random in the triangle $ABC$, than expected value of the area of ...