| [ QuizWit ] in KIDS 글 쓴 이(By): iLUSiON (화려한집념) 날 짜 (Date): 2003년 8월 6일 수요일 오전 10시 51분 40초 제 목(Title): Re: random points on sphere if unif(0,1] generate uniform random variable between 0 and 1 in any computer program, it is obvious that for i=1:100000000000 X_i <-- unif(0,1] will generate the sequence of i.i.d. random variables. i am sure you can check it. your solution will gurantee uniformness only with respect to (w.r.t. professors' short hand notation in most math courses. ^^) the coordinate system you provided. even thou outsider pointed out this problem to be F.A.Q., it it non trivial problem and i don't think any one of you unstand it. providing an answer is not understanding. isn't it? ^^ to fully answer this problem, you have to come up with the cooridnate independent way of generating uniform r.v. so my question to outsider and others is that "is there coordinate independent way of generating uniform distribution on the sphere?" hmmm... interesting research problem. think about it. it is completely non trivial. ;) iLUSiON whitepolarcow@hotmail.com |