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Daniel Hillerström
2020-10-21 01:37:58 +01:00
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thesis.tex
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@@ -427,8 +427,8 @@ written $\dec{Im}(f)$, is the set of values that it can return, i.e.
\item Injective: $\forall a,a' \in A$ if $f(a) = f(a')$ then $a = a'$. \item Injective: $\forall a,a' \in A$ if $f(a) = f(a')$ then $a = a'$.
\item Surjective: $\forall b \in B,\exists a \in A$ such that $f(a) = b$. \item Surjective: $\forall b \in B,\exists a \in A$ such that $f(a) = b$.
\end{itemize} \end{itemize}
If a function $f$ is both injective and surjective, then it is said If a function is both injective and surjective, then it is said to
to be a bijective. be a bijective.
\end{definition} \end{definition}
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An injective function guarantees that each element in its image is An injective function guarantees that each element in its image is