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Commit 7f9c9a9c authored by Michael Kohlhase's avatar Michael Kohlhase
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...@@ -96,18 +96,16 @@ definitions and theorems. For instance, when establishing results, \cite{covers- ...@@ -96,18 +96,16 @@ definitions and theorems. For instance, when establishing results, \cite{covers-
In the second example, the situation is a bit more complex, since the import of the In the second example, the situation is a bit more complex, since the import of the
terminology and definitions is not direct, but involves a choice. terminology and definitions is not direct, but involves a choice.
\begin{example}\label{ex:mnets} \begin{example}\label{ex:mnets} \cite{mnets-orig} studies the properties of multinets. In
\cite{mnets-orig} studies the properties of multinets. In the preliminaries section they the preliminaries section they are introduced with the following definition:
are introduced with the following definition: \begin{labeledquote}\sf \textbf{Definition 2.1} The union of all completely reducible
\begin{labeledquote}\sf fibers (with a fixed partition into fibers, also called blocks) of a Ceva pencil of degree
\textbf{Definition 2.1} The union of all completely reducible fibers (with a fixed $d$ is called a $(k, d)-\mathit{multinet}$ where $k$ is the number of the blocks. The base
partition into fibers, also called blocks) of a Ceva pencil of degree $d$ is called a $X$ of the pencil is determined by the multinet structure and called the base of the
$(k, d)-\mathit{multinet}$ where $k$ is the number of the blocks. The base $X$ of the multinet.
pencil is determined by the multinet structure and called the base of the multinet. \end{labeledquote} Later in that section some properties of multinets are introduced
\end{labeledquote} with the phrase ``\textsf{Several important properties of multinets are listed below which
Later in that section some properties of multinets are introduced with the phrase have been collected from [4,10,12].}''. The referenced papers all use slightly different
``\textsf{Several important properties of multinets are listed below which have been
collected from [4,10,12].}''. The referenced papers all use slightly different
definitions of multinets but they are assumed to be equivalent so that the properties definitions of multinets but they are assumed to be equivalent so that the properties
hold. In fact, in this paper (\cite{mnets-orig}) the assumption is made explicit -- hold. In fact, in this paper (\cite{mnets-orig}) the assumption is made explicit --
although not proved -- from the start: ``\textsf{There are several equivalent ways to although not proved -- from the start: ``\textsf{There are several equivalent ways to
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