| Version 7 |
Version 6 |
| The {\em difference} of two numbers $a$ and $b$ is a number $c$ such that |
The {\em difference} of two numbers $a$ and $b$ is a number $c$ such that |
| $$b\!+\!c = a.$$ |
$$b\!+\!c = a.$$ |
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The difference of $a$ (the {\em minuend}) and $b$ (the {\em subtrahend}) is denoted by $a\!-\!b$.
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The difference of $a$ and $b$ is denoted by $a\!-\!b$.
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| The definition is \PMlinkescapetext{similar} for the elements $a,\,b$ of any \PMlinkescapetext{additive} Abelian group (e.g. of a vector space).\,The difference of them is always unique.\\ |
The definition is \PMlinkescapetext{similar} for the elements $a,\,b$ of any \PMlinkescapetext{additive} Abelian group (e.g. of a vector space).\,The difference of them is always unique.\\ |
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| \textbf{Some \PMlinkescapetext{identities}} |
\textbf{Some \PMlinkescapetext{identities}} |
| \begin{itemize} |
\begin{itemize} |
| \item $b\!+\!(a\!-\!b) = a$ |
\item $b\!+\!(a\!-\!b) = a$ |
| \item $a\!-\!b = a\!+\!(-b)$ |
\item $a\!-\!b = a\!+\!(-b)$ |
| \item $-(a\!-\!b) = b\!-\!a$ |
\item $-(a\!-\!b) = b\!-\!a$ |
| \item $n(a\!-\!b) = na\!-\!nb \quad (n\in\mathbb{Z})$ |
\item $n(a\!-\!b) = na\!-\!nb \quad (n\in\mathbb{Z})$ |
| \end{itemize} |
\end{itemize} |
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