Polish

Inst_eddies/Documentation_texfol/documentation.tex

@@ -79,7 +79,7 @@ that date index, or by a unique integer identifier $n$, which we can call a
 The date index $d$ is an integer value. It is a number of time steps
 since some arbitrary reference date. For flexibility, we do not assume
 that the reference date is the first date of the dataset. So $d$ may
-not be 0 for the first date of the dataset.
+not be 0 for the first date of the dataset. $d$ can be negative.
 
 For Aviso data, the time step is one day and the reference date would
 be conveniently January \nth{1}, 1950, since it is the reference date
@@ -104,10 +104,10 @@ is:
 \begin{equation*}
   n = d E + e
 \end{equation*}
-So $n \ge 1$ and usually jumps at each change of date. The
-anticyclones at the first date have a node index between 1 and $E$, at
-the second date between $E + 1$ and $2 E$, and so on. Same for
-cyclones. Cf. table (\ref{tab:eddy_id_Matlab}).
+So $n$ usually jumps at each change of date. The eddies at date 0 (if
+date 0 is in the range of dates) would have a node index between 1 and
+$E$, at date 1 between $E + 1$ and $2 E$, and so on. Cf. table
+(\ref{tab:eddy_id_Matlab}).
 \begin{table}[htbp]
   \centering
   \begin{tabular}{lll}
@@ -115,12 +115,12 @@ cyclones. Cf. table (\ref{tab:eddy_id_Matlab}).
            & anticyclones & $n = 1, \dots, e_\mathrm{max,anti}(0)$ \\
            & cyclones & $n = 1, \dots, e_\mathrm{max,cyclo}(0)$ \\
     date index d & & \\
-           & anticyclones & $n = d E + 1, \dots, d
-                            E + e_\mathrm{max,anti}(d)$ \\
-           & cyclones & $n = d E + 1, \dots, d E
+           & anticyclones & $n = d E_\mathrm{anti} + 1, \dots, d
+                            E_\mathrm{anti} + e_\mathrm{max,anti}(d)$ \\
+           & cyclones & $n = d E_\mathrm{cyclo} + 1, \dots, d E_\mathrm{cyclo}
                         + e_\mathrm{max,cyclo}(d)$
   \end{tabular}
-  \caption{Node indices. $d$ is the date index.}
+  \caption{Node indices}
   \label{tab:eddy_id_Matlab}
 \end{table}
 Conversely, from the definition of $E$, knowing $n$ and $E$, we can