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ceciliachan1979 committed Jan 13, 2024
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4 changes: 2 additions & 2 deletions Books/BabyRudin/Chapter01/ex08.gapry.tex
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Expand Up @@ -2,8 +2,8 @@ \subsection*{Exercise 08}
Let $c_1 = i = (0,\ 1)$ are the ordered pair in the complex field $\mathbb{C}$

\begin{enumerate}
\item{$1 \gt 0$ (by 1.18d) }
\item{$-1 \lt 0$ (by 1.18a applied on (1))}
\item{$1 > 0$ (by 1.18d) }
\item{$-1 < 0$ (by 1.18a applied on (1))}
\item{$c_1^2 = i^2 = -1 \implies i \neq 0 \implies i^2 > 0 \implies -1 > 0$ (by 1.18d)}
\end{enumerate}

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