1.1 --- a/doc-src/isac/jrocnik/eJMT-paper/jrocnik_eJMT.tex Sun Sep 09 12:48:59 2012 +0200
1.2 +++ b/doc-src/isac/jrocnik/eJMT-paper/jrocnik_eJMT.tex Sun Sep 09 14:48:30 2012 +0200
1.3 @@ -836,10 +836,31 @@
1.4 TODO
1.5 \subsection{Preparation of Simplifiers for the Program}\label{simp}
1.6
1.7 -%JR: ich denke wir können diesen punkt weglassen, methoden wie
1.8 -%JR: drop_questionmarks und ähnliche sind im arical nicht ersichtlich und im
1.9 -%JR: grunde nicht relevant (ihre erstellung gleich wie functionen im nächsten
1.10 -%JR: Punkt)
1.11 +\paragraph{After collecting} informations about the problem and reviewing the
1.12 +calculations, the programm may be seem hard and heavy, therefor we can set up
1.13 +some simplifications, for e.g. is the simplification of reational expressions
1.14 +already provided in the {\sisac{}} system. Also obligate is the use of the
1.15 +function \texttt{drop\_questionmarks} which excludes irrelevant symbols out of
1.16 +the expression. (Irrelevant symbols may be result out of the system during the
1.17 +calculation.)
1.18 +
1.19 +\subparagraph{Simplifiers often are represented} through rulesets\footnote{More
1.20 +information about rulesets can be found in \S\ref{sec:rules}}, this rulesets
1.21 +tell the machine which terms should be simplified into which representation. In
1.22 +the upcoming programm a simplification is applied only in using such rulesets
1.23 +on existing terms.
1.24 +\par
1.25 +Following example line was taken out of a finished programm and shows how
1.26 +an rational expression can be simplified.
1.27 +
1.28 +\begin{example}
1.29 +\begin{verbatim}
1.30 +
1.31 + "expression = (Rewrite_Set norm_Rational False) expression;"^\end{verbatim}
1.32 +\end{example}
1.33 +
1.34 +\subparagraph{If other} methods for use in term with simplification are needed
1.35 +\S\ref{funs} gives informations about new ML-Functions can be prepared.
1.36
1.37 \subsection{Preparation of ML-Functions}\label{funs}
1.38
1.39 @@ -1097,7 +1118,7 @@
1.40 With the upper collected knowledge it is possible to check if we were able to
1.41 donate all required terms and expressions.
1.42
1.43 -\subsubsection{Definition and Usage of Rules}
1.44 +\subsubsection{Definition and Usage of Rules\label{sec:rules}}
1.45
1.46 \paragraph{The core} of our implemented problem is the Z-Transformation, due
1.47 the fact that the transformation itself would require higher math which isn't