Show that the set (mathbb{R}) is uncountable and that (#(0,1)=# mathbb{R}). [find a bijection (f:(0,1) ightarrow mathbb{R}).]

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Show that the set \(\mathbb{R}\) is uncountable and that \(\#(0,1)=\# \mathbb{R}\).

[find a bijection \(f:(0,1) ightarrow \mathbb{R}\).]

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