Could anyone help me with this problem? I have a 3D manifold given by $$1<d<b<c,\;\;b+d<c,\;\;b+2d>c.$$ My goal is to find a lot of points belong to it.
For a user specified magnitude, is there a way to have Mathematica produce any 3D vector that fits that magnitude?
I first make a function to get a random vector on unit sphere in a swath around the equator. That is what the parameter $\gamma$ controls; if $\gamma = 1/2$, the vectors can be chosen anywhere on the ...
First consider vectors of unit length, say on the unit sphere. Now I want to give some magnitude to these vectors and I want the magnitude to be chosen from the normal distribution. In one dimension ...