| [ sciEncE ] in KIDS 글 쓴 이(By): mkjung (BElTRAMi) 날 짜 (Date): 2000년 9월 18일 월요일 오후 11시 32분 24초 제 목(Title): Re: Question! Physics! Since you know something about "Beltrami", I might add: consider the familiar moduli spaces for Riemann surfaces of fixed genus. Here one starts with the obviously infinite dimensional space of all possible surfaces of the same genus. After dividing out by conformal equivalence, the moduli space obtained is a finite dimensional cell complex, the Riemann moduli space. In this process, you've just divided the original moduli space by orbits of the "gauge transformation". =========== thank you for your efforts but man... you are giving me hard time. ^^ since in this board, we have many physicist, i felt i can learn something from them. unfortunately communicating with other areas of researcher is not very fruitful because of the way they talk and the jargons they use. when they tell me, fermions, muons things like that i go numb and can't grasp the real meaning although i might figure out the definitions. knowing something in definition is meaningless unless one can 'reconstruct' the whole thing from his/her view point. i have no formal background in differential geometry so i have no idea what you are talking about. ^^ can you explain it nice and easy? The reason i know Beltrami differentiator was i was trying to solve the heat equation on manifold without knowing such thing exist. So one day I sit down and trying to reformulate the Laplacian in terms of curvilliniar coordinate system( this is poor man's tensor geometry. ^^ ) and learned tha while digging Arnold's book that somebody already did what I was trying to do a long time ago. kiki... what is mouli space by the way? would it be possible to re-explain everything you wrote any high school kids can understand? i believe anything can be explained in very simple manner. i can learn all things from book but i rather play in kids and learn it while interacting with people. ps. dear parsec can you go somewhere else to pick up a fight? do you have some sort of inferior complex to other physicsts or what? |