| [ QuizWit ] in KIDS 글 쓴 이(By): Killer (타개요자) 날 짜 (Date): 2003년 8월 6일 수요일 오전 09시 09분 16초 제 목(Title): Re: random points on sphere it is ok to use 1 unif because we know each time you use it, they will give you independent r.v. :( ----------------------------------------------------------------- 안그럴꺼 같은데요... 1개의 uniform만 사용하면 (0,-pi/2)->(pi/2,-pi/6)->(pi,0)->(2/3*pi,+pi/6)->(2pi,+pi/2)를 지나는 곡선위에만 점이 분포하게 됩니다만... your solution is actually wrong. that won't gurantee uniformness. then thinking about uniformness, i just realized that it is w.r.t. the coordinate system we are using. there are a couple of coordinate system we can use in sphere and it is possible that you will get different distributions w.r.t. the coordinates. i think there is a name for this paradox. i think it is due to rusell. in the early stage of probability theory development, people did not realize this fact so they generated some funny paradoxes. hehee... this is beside the point anyway. ----------------------------------------------------------------- 1.w.r.t가 뭐지요?-_-;;; 2.왜(that won't gurantee uniformness.)인가요? 문제가 타원의 회전체(럭비공모양의 이것을 뭐라 부르는지 모르겠지만)가 아니고 분명히 구이지 않습니까? |