Staged a some first texts.

.pre-commit-config.yaml

@@ -47,10 +47,8 @@ repos:
   hooks:
   - id: american-eg-ie
   - id: cleveref-capitalization
-  - id: consistent-spelling
-    args: [--emph=et al., --emph=a priori, --emph=a posteriori, --regex=naive=\bna(i|\\"i)ve]
-  - id: csquotes
-  - id: ensure-labels-for-sections
+  # - id: csquotes
+  # - id: ensure-labels-for-sections
   - id: no-space-in-cite
   - id: tilde-cite
   - id: unique-labels

pal-zusammenfassung.tex

@@ -11,68 +11,32 @@
     T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}}
 \begin{document}
 
-\title{Conference Paper Title*\\
-{\footnotesize \textsuperscript{*}Note: Sub-titles are not captured in Xplore and
-should not be used}
-\thanks{Identify applicable funding agency here. If none, delete this.}
-}
+\title{Vorstellung von Program-aided Language Model Promts}
 
-\author{\IEEEauthorblockN{1\textsuperscript{st} Given Name Surname}
+\author{\IEEEauthorblockN{Philipp Horstenkamp}
 \IEEEauthorblockA{\textit{dept. name of organization (of Aff.)} \\
 \textit{name of organization (of Aff.)}\\
-City, Country \\
-email address or ORCID}
-\and
-\IEEEauthorblockN{2\textsuperscript{nd} Given Name Surname}
-\IEEEauthorblockA{\textit{dept. name of organization (of Aff.)} \\
-\textit{name of organization (of Aff.)}\\
-City, Country \\
-email address or ORCID}
-\and
-\IEEEauthorblockN{3\textsuperscript{rd} Given Name Surname}
-\IEEEauthorblockA{\textit{dept. name of organization (of Aff.)} \\
-\textit{name of organization (of Aff.)}\\
-City, Country \\
-email address or ORCID}
-\and
-\IEEEauthorblockN{4\textsuperscript{th} Given Name Surname}
-\IEEEauthorblockA{\textit{dept. name of organization (of Aff.)} \\
-\textit{name of organization (of Aff.)}\\
-City, Country \\
-email address or ORCID}
-\and
-\IEEEauthorblockN{5\textsuperscript{th} Given Name Surname}
-\IEEEauthorblockA{\textit{dept. name of organization (of Aff.)} \\
-\textit{name of organization (of Aff.)}\\
-City, Country \\
-email address or ORCID}
-\and
-\IEEEauthorblockN{6\textsuperscript{th} Given Name Surname}
-\IEEEauthorblockA{\textit{dept. name of organization (of Aff.)} \\
-\textit{name of organization (of Aff.)}\\
-City, Country \\
-email address or ORCID}
-}
+Iserlohn, Germany \\
+philipp@horstenkamp.eu}}
 
 \maketitle
 
 \begin{abstract}
-This document is a model and instructions for \LaTeX.
-This and the IEEEtran.cls file define the components of your paper [title, text, heads, etc.]. *CRITICAL: Do Not Use Symbols, Special Characters, Footnotes,
-or Math in Paper Title or Abstract.
+Eines der Probleme welches bei der nutzung von LLMs auftritt ist eine reduktion der ausführung von mathematischen operationen. Sie entwickeln das gleiche problem wie der Menschliche verstand das das Berechnen von Mathematischen ergebnissen mit Flüchtigkeitsfehlern. Eine mögliche lösung dafür ist die formulierung von Mathematischen problemstellungen in einfachem Programmcode welcher dann wie ein "Taschenrechner" analog verwendet wird um die Mathematischen operationen als Artimetisch Logische berechnung zu berechnen und nicht als Sprachmodel welches versucht die reihenfolge der nächst warscheinlichen Tokens zu genereieren.
+So können die Särken des Aufgabenmodels mit den stärken von direkt ausgeführten Mathematischen operationen kombiniert werden um ergbnisse zu erziehlen welche Mathematisch sauberer sind.
 \end{abstract}
 
 \begin{IEEEkeywords}
-component, formatting, style, styling, insert
+LLM, Promt Enginering, Mathematic, Informatik
 \end{IEEEkeywords}
 
-\section{Introduction}
+\section{Introduction}\label{sec:introduction}
 This document is a model and instructions for \LaTeX.
 Please observe the conference page limits.
 
-\section{Ease of Use}
+\section{Ease of Use}\label{sec:ease-of-use}
 
-\subsection{Maintaining the Integrity of the Specifications}
+\subsection{Maintaining the Integrity of the Specifications}\label{ssec:maintaining-the-integrity-of-the-specifications}
 
 The IEEEtran class file is used to format your paper and style the text. All margins,
 column widths, line spaces, and text fonts are prescribed; please do not
@@ -82,23 +46,23 @@ and others are deliberate, using specifications that anticipate your paper
 as one part of the entire proceedings, and not as an independent document.
 Please do not revise any of the current designations.
 
-\section{Prepare Your Paper Before Styling}
+\section{Prepare Your Paper Before Styling}\label{sec:prepare-your-paper-before-styling}
 Before you begin to format your paper, first write and save the content as a
 separate text file. Complete all content and organizational editing before
-formatting. Please note sections \ref{AA}--\ref{SCM} below for more information on
+formatting. Please note sections \ref{ssec:abbreviations-and-acronyms}--\ref{SCM} below for more information on
 proofreading, spelling and grammar.
 
 Keep your text and graphic files separate until after the text has been
 formatted and styled. Do not number text heads---{\LaTeX} will do that
 for you.
 
-\subsection{Abbreviations and Acronyms}\label{AA}
+\subsection{Abbreviations and Acronyms}\label{ssec:abbreviations-and-acronyms}
 Define abbreviations and acronyms the first time they are used in the text,
 even after they have been defined in the abstract. Abbreviations such as
 IEEE, SI, MKS, CGS, ac, dc, and rms do not have to be defined. Do not use
 abbreviations in the title or heads unless they are unavoidable.
 
-\subsection{Units}
+\subsection{Units}\label{ssec:units}
 \begin{itemize}
 \item Use either SI (MKS) or CGS as primary units. (SI units are encouraged.) English units may be used as secondary units (in parentheses). An exception would be the use of English units as identifiers in trade, such as ``3.5-inch disk drive''.
 \item Avoid combining SI and CGS units, such as current in amperes and magnetic field in oersteds. This often leads to confusion because equations do not balance dimensionally. If you must use mixed units, clearly state the units for each quantity that you use in an equation.
@@ -106,7 +70,7 @@ abbreviations in the title or heads unless they are unavoidable.
 \item Use a zero before decimal points: ``0.25'', not ``.25''. Use ``cm\textsuperscript{3}'', not ``cc''.)
 \end{itemize}
 
-\subsection{Equations}
+\subsection{Equations}\label{ssec:equations}
 Number equations consecutively. To make your
 equations more compact, you may use the solidus (~/~), the exp function, or
 appropriate exponents. Italicize Roman symbols for quantities and variables,
@@ -122,7 +86,7 @@ symbols in your equation have been defined before or immediately following
 the equation. Use ``\eqref{eq}'', not ``Eq.~\eqref{eq}'' or ``equation \eqref{eq}'', except at
 the beginning of a sentence: ``Equation \eqref{eq} is . . .''
 
-\subsection{\LaTeX-Specific Advice}
+\subsection{\LaTeX-Specific Advice}\label{ssec:latex-specific-advice}
 
 Please use ``soft'' (e.g., \verb|\eqref{Eq}|) cross references instead
 of ``hard'' references (e.g., \verb|(1)|). That will make it possible
@@ -159,7 +123,7 @@ will not stop equation numbers inside \verb|{array}| (there won't be
 any anyway) and it might stop a wanted equation number in the
 surrounding equation.
 
-\subsection{Some Common Mistakes}\label{SCM}
+\subsection{Some Common Mistakes}\label{ssec:some-common-mistakes}
 \begin{itemize}
 \item The word ``data'' is plural, not singular.
 \item The subscript for the permeability of vacuum $\mu_{0}$, and other common scientific constants, is zero with subscript formatting, not a lowercase letter ``o''.
@@ -171,11 +135,10 @@ surrounding equation.
 \item Do not confuse ``imply'' and ``infer''.
 \item The prefix ``non'' is not a word; it should be joined to the word it modifies, usually without a hyphen.
 \item There is no period after the ``et'' in the Latin abbreviation ``et al.''.
-\item The abbreviation ``i.e.'' means ``that is'', and the abbreviation ``e.g.'' means ``for example''.
 \end{itemize}
-An excellent style manual for science writers is \cite{b7}.
+An excellent style manual for science writers is ~\cite{b7}.
 
-\subsection{Authors and Affiliations}
+\subsection{Authors and Affiliations}\label{ssec:authors-and-affiliations}
 \textbf{The class file is designed for, but not limited to, six authors.} A
 minimum of one author is required for all conference articles. Author names
 should be listed starting from left to right and then moving down to the
@@ -203,7 +166,7 @@ sub-topics, the next level head (uppercase Roman numerals) should be used
 and, conversely, if there are not at least two sub-topics, then no subheads
 should be introduced.
 
-\subsection{Figures and Tables}
+\subsection{Figures and Tables}\label{ssec:figures-and-tables}
 \paragraph{Positioning Figures and Tables} Place figures and tables at the top and
 bottom of columns. Avoid placing them in the middle of columns. Large
 figures and tables may span across both columns. Figure captions should be
@@ -244,19 +207,19 @@ with units. In the example, write ``Magnetization (A/m)'' or ``Magnetization
 quantities and units. For example, write ``Temperature (K)'', not
 ``Temperature/K''.
 
-\section*{Acknowledgment}
+\section*{Acknowledgment}\label{sec:acknowledgment}
 
 The preferred spelling of the word ``acknowledgment'' in America is without
 an ``e'' after the ``g''. Avoid the stilted expression ``one of us (R. B.
 G.) thanks $\ldots$''. Instead, try ``R. B. G. thanks$\ldots$''. Put sponsor
 acknowledgments in the unnumbered footnote on the first page.
 
-\section*{References}
+\section*{References}\label{sec:references}
 
-Please number citations consecutively within brackets \cite{b1}. The
-sentence punctuation follows the bracket \cite{b2}. Refer simply to the reference
-number, as in \cite{b3}---do not use ``Ref. \cite{b3}'' or ``reference \cite{b3}'' except at
-the beginning of a sentence: ``Reference \cite{b3} was the first $\ldots$''
+Please number citations consecutively within brackets~\cite{b1}. The
+sentence punctuation follows the bracket ~\cite{b2}. Refer simply to the reference
+number, as in ~\cite{b3}---do not use ``Ref. ~\cite{b3}'' or ``reference ~\cite{b3}'' except at
+the beginning of a sentence: ``Reference ~\cite{b3} was the first $\ldots$''
 
 Number footnotes separately in superscripts. Place the actual footnote at
 the bottom of the column in which it was cited. Do not put footnotes in the
@@ -264,13 +227,13 @@ abstract or reference list. Use letters for table footnotes.
 
 Unless there are six authors or more give all authors' names; do not use
 ``et al.''. Papers that have not been published, even if they have been
-submitted for publication, should be cited as ``unpublished'' \cite{b4}. Papers
-that have been accepted for publication should be cited as ``in press'' \cite{b5}.
+submitted for publication, should be cited as ``unpublished'' ~\cite{b4}. Papers
+that have been accepted for publication should be cited as ``in press'' ~\cite{b5}.
 Capitalize only the first word in a paper title, except for proper nouns and
 element symbols.
 
 For papers published in translation journals, please give the English
-citation first, followed by the original foreign-language citation \cite{b6}.
+citation first, followed by the original foreign-language citation ~\cite{b6}.
 
 \begin{thebibliography}{00}
 \bibitem{b1} G. Eason, B. Noble, and I. N. Sneddon, ``On certain integrals of Lipschitz-Hankel type involving products of Bessel functions,'' Phil. Trans. Roy. Soc. London, vol. A247, pp. 529--551, April 1955.