employer
/
tame
1
0
Fork 0
Code Packages Releases Activity

design/tpl (Classification System): \odot=>\Classify-based monoid notation 

This reads better, IMO.
master
Mike Gerwitz 2021-05-25 10:50:55 -04:00
parent aeb862032d
commit 72b6f95d4e
2 changed files with 22 additions and 8 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

17
design/tpl/sec/class.tex
View File

@ -151,8 +151,10 @@ For notational convenience,
\index{classification!monoid|)}
\begin{equation}
\begin{aligned}
\odot^\land &= \Monoid\Bool\land\true, \\
\odot^\lor &= \Monoid\Bool\lor\false.
\Classifyland(M,v,s)
&= \Classify\left(\Monoid\Bool\land\true,M,v,s\right), \\
\Classifylor(M,v,s)
&= \Classify\left(\Monoid\Bool\lor\true,M,v,s\right). \\
\end{aligned}
\end{equation}
@ -301,8 +303,8 @@ For notational convenience,
&\xml{desc="Always true" />}
\end{aligned}
\quad&=\quad
\Classify^\texttt{always}_\texttt{alwaysTrue}
&&\left(\odot^\land,\emptyset,\emptyset,\emptyset\right). \\
\Classifyland^\texttt{always}_\texttt{alwaysTrue}
&&\left(\emptyset,\emptyset,\emptyset\right). \\
%
\begin{aligned}
\xml{<classify }&\xml{as="never" yields="neverTrue"} \xmlnl
@ -310,8 +312,8 @@ For notational convenience,
&\xml{desc="Never true" />}
\end{aligned}
\quad&=\quad
\Classify^\texttt{never}_\texttt{neverTrue}
&&\left(\odot^\lor,\emptyset,\emptyset,\emptyset\right).
\Classifylor^\texttt{never}_\texttt{neverTrue}
&&\left(\emptyset,\emptyset,\emptyset\right).
\end{alignat*}
\caption{\tameclass{always} and \tameclass{never} from package
\tamepkg{core/base}.}
@ -546,8 +548,7 @@ More subtly,
&\xml{</classify>}
\end{aligned}
&\text{by \axmref{match-intro}} \\
&= \Classify^\texttt{fullrank}\left(
\odot^\land,
&= \Classifyland^\texttt{fullrank}\left(
\Big(\left({A_j}_k = u_j\right),
\left({A_j}_k = t \right)
\Big),

13
design/tpl/tpl.sty
View File

@ -140,6 +140,19 @@
{\frak{C}}
{\frak{C}}
}
% Convenience variants
\DeclareMathOperator*\Classifyland{%
\mathchoice{\vcenter{\hbox{\huge$\mathfrak{C}^\land$}}}
{\vcenter{\hbox{\Large$\mathfrak{C}\land$}}}
{\frak{C^\land}}
{\frak{C^\land}}
}
\DeclareMathOperator*\Classifylor{%
\mathchoice{\vcenter{\hbox{\huge$\mathfrak{C}^\lor$}}}
{\vcenter{\hbox{\Large$\mathfrak{C}\lor$}}}
{\frak{C^\lor}}
{\frak{C^\lor}}
}