X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=examples.tex;h=015c5fd67df5aa3e5d4c272c60480694d20ba1ba;hb=8b880c1436d7e93279391ba362ab07c86272a449;hp=c3e22e7d96e4660356020cb9d66aeac0074304a5;hpb=10b83af54da036b9f3122b5e82b18816c5acf386;p=mjotex.git diff --git a/examples.tex b/examples.tex index c3e22e7..015c5fd 100644 --- a/examples.tex +++ b/examples.tex @@ -38,7 +38,8 @@ containing the set $\set{x,y,z}$. If $R$ has a multiplicative identity (that is, a unit) element, - then that element is denoted by $\unit{R}$. + then that element is denoted by $\unit{R}$. Its additive identity + element is $\zero{R}$. \end{section} \begin{section}{Algorithm} @@ -118,8 +119,10 @@ superscript when that superscript would be one: $\Nn[1]$, $\Zn[1]$, $\Qn[1]$, $\Rn[1]$, $\Cn[1]$. However, if the superscript is (say) two, then it appears: $\Nn[2]$, $\Zn[2]$, - $\Qn[2]$, $\Rn[2]$, $\Cn[2]$. Finally, we have the four standard - types of intervals in $\Rn[1]$, + $\Qn[2]$, $\Rn[2]$, $\Cn[2]$. The symbols $\Fn[1]$, $\Fn[2]$, + et cetera, are available for use with a generic field. + + Finally, we have the four standard types of intervals in $\Rn[1]$, % \begin{align*} \intervaloo{a}{b} &= \setc{ x \in \Rn[1]}{ a < x < b },\\