| [ QuizWit ] in KIDS 글 쓴 이(By): iLUSiON (화려한집념) 날 짜 (Date): 2003년 8월 6일 수요일 오후 02시 00분 59초 제 목(Title): Re: random points on sphere poor gong-do-ris.... i will tell you why killer's solution is incorrect and most of you guys solution that is based on the coordinate transform is incorrect. there are tons of solution to this problem but that depends on what coordinates people aer using. for example it is possible to generate uniform distribution based on two parameters taht represent Euler angle s\tehta and \phi. but will this distribution will be uniform in the cartesian coordinate system (x, y, \sqrt{x^2 + y^2}). Obviously not. in this sense Killer's solution do not satify uniformity. generating unifrom r.v. on manifolds basically needs coordinate-free or chart-free appraoch. what is rusell's paradox? for retard gong-do-ris i will give you an example. circle x^2+y^2=1 an be represended by the polar coordinate system (1,\tehta) where \theta is unif(0,2\pi]. so this would be simple gong-do-ri solution. right? WRONG!!!!!! this is unifrom only w.r.t. polar coordiante system. if you use the rectangular coordiane system (cos \tehta,\sqrt{1- cos^2 \theta}) it won't be uniform at all. hence every one of you guys solution based on the coordinate transformation is WRONG! hahahaha... now who the f* said this is easy ki-chul problem? hehe... well.. i guess i am bored. i will stop provoking you guys. man read Chandraseka's (nobel prize winner) paper . he wrote something similar on what you call gi-chool moon-jae. ;) iLUSiON whitepolarcow@hotmail.com |