diff --git a/adoptions/paper.pdf b/adoptions/paper.pdf index 84b1acc522020a07015aac1ed001dccbf21f5dfe..2c656c324d72787bed53425da7e329c3ff83757b 100644 Binary files a/adoptions/paper.pdf and b/adoptions/paper.pdf differ diff --git a/adoptions/phenomena.tex b/adoptions/phenomena.tex index fe87a89f44281dc603c8a23488483d0f53aa5e7f..694a9430a82103fa2a97e0ba8bc3240e81d55820 100644 --- a/adoptions/phenomena.tex +++ b/adoptions/phenomena.tex @@ -96,22 +96,20 @@ 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 terminology and definitions is not direct, but involves a choice. -\begin{example}\label{ex:mnets} - \cite{mnets-orig} studies the properties of multinets. In the preliminaries section they - are introduced with the following definition: - \begin{labeledquote}\sf - \textbf{Definition 2.1} The union of all completely reducible fibers (with a fixed - partition into fibers, also called blocks) of a Ceva pencil of degree $d$ is called a - $(k, d)-\mathit{multinet}$ where $k$ is the number of the blocks. The base $X$ of the - 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 with the phrase - ``\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 - 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 - define multinets. Here we present them using pencils of plane curves.}'' +\begin{example}\label{ex:mnets} \cite{mnets-orig} studies the properties of multinets. In +the preliminaries section they are introduced with the following definition: + \begin{labeledquote}\sf \textbf{Definition 2.1} The union of all completely reducible +fibers (with a fixed partition into fibers, also called blocks) of a Ceva pencil of degree +$d$ is called a $(k, d)-\mathit{multinet}$ where $k$ is the number of the blocks. The base +$X$ of the 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 +with the phrase ``\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 +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 +define multinets. Here we present them using pencils of plane curves.}'' \end{example} The next example is not from our 30 examples, since we want to show an even more complex diff --git a/flatsearch/paper.pdf b/flatsearch/paper.pdf index 3a336eb5f4f021d1b16b686aac740c55070fc25d..065f027714aa8bfa62ab6e4d35d426800386a742 100644 Binary files a/flatsearch/paper.pdf and b/flatsearch/paper.pdf differ