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Merge pull request #60 from kunzaatko/main
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fix(1.5.7 (a)): `S` is two dimensional
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jesseli2002 authored Oct 23, 2023
2 parents 3e7a2c4 + da4a019 commit 892f883
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2 changes: 1 addition & 1 deletion chapters/chapter1/chapter1-5.tex
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Expand Up @@ -173,7 +173,7 @@ \section{Cardinality}

\begin{solution}
\enum{
\item We scale and shift up into the square. $f(x) = \frac 12 x + \frac 13$
\item We scale and shift up into the square. $f(x) = (\frac 12 x , \frac 13)$
\item Let $g : S \to (0, 1)$ be a function that interleaves decimals in the representation without trailing nines, padding with zeros if necessary. $g(0.32, 0.45) = 0.3425$, $g(0.1\bar 9, 0.2) = g(0.2, 0.2) = 0.22$, $g(0.1, 0.23) = 0.1203$, $g(0.1, 0.\bar 2) = 0.12\overline{02}$, etc.

Every real number can be written with two digit representations, one with trailing 9's and one without.
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