| [ QuizWit ] in KIDS 글 쓴 이(By): iLUSiON (화려한집념) 날 짜 (Date): 2003년 3월 28일 금요일 오전 04시 59분 30초 제 목(Title): random walk 3. hehe.... Lina, let me see if i can normalize the situation of infinity like what feynman did with path integral kiki.... lets see if lina is correct. P(0,1,1)=p. P(0,1,2)=p(1-p) P(0,1,3)= man.... this will give Binomail expansion... hmmm... isn't this what pasec did? ok... i got it woo heheh.....let R be the nubmer of times the particle moves to the right. let L be the number of times the particle moves to the left. Then we must have y = R - L so the total number of steps the particle should take would be t = R + L. t = R + L = 2R - y. so R = (t+y)/2 and L = (t-y)/2 well just assume these to be integers for simplicity. P(0,y,t) = {t \choose R} p^R(1-p)^L man this is what parsec did. oh cool kiki... then P(0,y) = \sum_t {t \choose R} p^R(1-p)^L man this requires summing non-negative binomials. anyone got Knuth's book kiki....? can anyone simplify this? i will send you my reprint of my paper. kiki... iLUSiON whitepolarcow@hotmail.com |