[數撚圍爐區] 0.999...=1 (中大) (52)

1001 回覆
6 Like 2 Dislike
2021-09-29 22:13:51
我唔識，我自己讀Engine，applied Math嗰邊。睇下有無其他人答。
2021-09-29 22:38:15
2021-09-29 23:02:12
我暫時都係咁溫嘅感覺上成科都係學點proof而唔係淨係記同用d theorem有d proof係易記同好用嘅 e.g. proof harmonic series diverge, 但我最頭痕係proof algebraic limit theorem嗰d epsilon/2+ epsilon/2 奇奇怪怪咁 好似唔係咁泛用
嗰d使唔使記埋定由得佢算
2021-09-29 23:21:21
2021-09-29 23:21:41
epsilon/2係馬後炮黎
2021-09-29 23:24:06
食哂d inequality落肚應該無死
2021-09-29 23:25:03
2021-09-29 23:26:55
其實成個proof係搞緊乜 一開始夾硬屈個limit係epsilon/2,令到by triangle inequality嗰時會係兩個epsilon/2加埋等於epsilon
咁如果我唔屈佢 最尾加埋話佢係2 epsilon其實都冇乜問題啫既然佢都可以咁屈法
2021-09-29 23:27:48
係無問題架
2021-09-29 23:30:22
其實係唔係只係令個proof好睇d 好似執出嚟都係等於epsilon
2021-09-29 23:33:19
係 跟番definition寫法
最主要係要明點解可以咁做
2021-09-29 23:36:08

呢度D題應該岩你
2021-09-29 23:39:20
ok thx
仲有樣嘢見到頭po就諗起想問
其實cantor set係搞緊d乜嘢fractal dimension係咩嚟
既然end points冇抽走過+每個end point都唔同 咁應該係好多條interval係個set入面 咁by Archimedean property,中間應該係有 subinterval架點解cantor set D interval又唔會有sub interval
2021-09-29 23:39:49
非常感謝
2021-09-30 00:05:25
2021-09-30 00:09:21
Fractal 野唔係幾識答你唔到
下面跟唔到關Archimedean property咩事
Infinite intersection不嬲唔一定係interval喎
2021-09-30 00:10:17
2021-09-30 00:18:50
sor係Q is dense in R至啱
2021-09-30 00:33:13
2021-09-30 01:03:11
2021-09-30 02:19:35
periodic loop
2021-09-30 03:42:16
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