0 1 is uncountable
The only reason why the same process might not work again is that your number y might end up outside the set. For example, if you had instead used. ,Assume that (0,1) is countable. Then you can write [0,1]=(xn)n≥0. Do the following steps: split [0,1] into three equal parts [0,1/3],[1/3,2/3],[2/3,1]. Then x0 is not in ...
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 0 1 is uncountable 相關參考資料
9.3: Uncountable Sets - Mathematics LibreTexts
https://math.libretexts.org Difference in way of proving [0,1] is uncountable, (0,1) is ...
The only reason why the same process might not work again is that your number y might end up outside the set. For example, if you had instead used. https://math.stackexchange.com Proving $(0,1) $ is not countable - Mathematics Stack Exchange
Assume that (0,1) is countable. Then you can write [0,1]=(xn)n≥0. Do the following steps: split [0,1] into three equal parts [0,1/3],[1/3,2/3],[2/3,1]. Then x0 is not in ... https://math.stackexchange.com Proving that the interval $(0,1)$ is uncountable - Mathematics ...
To me it is fine. I know a similar method, which is clearer to me. Suppose (0,1) is countable, and create a one-to-one list as you have done. Now, choose the ... https://math.stackexchange.com Section 2.4: R is uncountable (0, 1) is uncountable The open ...
Theorem 42. The open interval (0, 1) is not a countable set. Dr Rachel Quinlan. MA180/MA186/MA190 Calculus. R is uncountable. 144 / 222. The ... http://www.maths.nuigalway.ie The set of real numbers between [0, 1] is uncountable. Why ...
There are an uncountable “value” of irrational numbers between anything and anything plus something, eg, [0,1]. Geometrically, you can “see” this from two lines ... https://www.quora.com [0,1] is uncountable. @ carusochu's diary :: 隨意窩Xuite日誌
我知道的證明有三種: 第一種是利用小數表示法證明. 這個論證應該是最通行的. 第二種Rudin的書上有. 是建立在[0,1]是一個perfect set 之上. 不過我還不懂. 找時間再 ... https://blog.xuite.net |