[‰ß‹ŽÛ¸Þ] ‚Z”Šw‚ÌŽ¿–âƒXƒŒ Part436 (1002Ú½)
㉺‘OŽŸ1-V
’Šo‰ðœ Ú½žx
‚±‚̽گÄނ͉ߋŽÛ¸Þ‘qŒÉ‚ÉŠi”[‚³‚ê‚Ä‚¢‚Ü‚·¡
ŽŸ½ÚŒŸõ —ðí¨ŽŸ½Ú žxí¨ŽŸ½Ú ‰ß‹ŽÛ¸ÞÒÆ°
222(3): 2024/06/25(‰Î)13:52 ID:1a5tf33R(2/7) AAS
(—^Ž®) = (1-I) (-I)^n + (1+I) I^n
= (-I)^n + (-I)^{n+1} + I^n + I^{n+1}
= [(-I)^n + I^n] + [(-I)^{n+1} + I^{n+1}]
= 2 cos(nƒÎ/2) + 2 cos((n+1)ƒÎ/2)
= 2 cos(nƒÎ/2) − 2 sin(nƒÎ/2),
n‚ª‹ô”‚̂Ƃ«
@sin(nƒÎ/2) = 0,
È4
231(2): 222 2024/06/25(‰Î)21:28 ID:1a5tf33R(6/7) AAS
‚ñ〜〜〜〜〜
@2 (-1)^{n(n+1)/2}
(ƒsƒR‘¾˜Y‚À‚á‚Ë‚¥‚ªc )
362: 222 2024/06/28(‹à)21:09 ID:hd8vfI0l(6/6) AAS
>>340
ŸƒTƒCƒ{[ƒO ‰ð“š
a[n] = 20n -10 -2(-1)^n -4(-1)^{floor[(n+1)/2]},
ŸƒsƒR‘¾˜Y ‰ð“š@@>>231 >>235
a[n] = 20n -10 -2(-1)^n -4(-1)^{n(n+1)/2},
363: 222 2024/06/29(“y)00:22 ID:c9fSEpt9(1/4) AAS
‘±‚«
@floor[(n+1)/2] ß n(n+1)/2@@@(mod 2)
(—ªØ)
n‚ª‹ô”‚̂Ƃ«
@floor[(n+1)/2] = n/2 ß (n+1)*n/2@@(mod 2)
n‚ªŠï”‚̂Ƃ«
@floor[(n+1)/2] = (n+1)/2 ß n*(n+1)/2@(mod 2)
㉺‘OŽŸ1-V‘ŠÖŽÊ”——õÝžx—ð
½Úî•ñ ÔÚ½’Šo ‰æ‘œÚ½’Šo —ð‚Ì–¢“Ç½Ú AA»ÑȲÙ
‚Ê‚±‚ÌŽè ‚Ê‚±TOP 1.459s*