Changeset 10414 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_STO.tex

Timestamp:

2018-12-19T00:02:00+01:00 (5 years ago)

Author:

nicolasmartin

Message:

• Comment \label commands on maths environments for unreferenced equations and adapt the unnumbered math container accordingly (mainly switch to shortanded LateX syntax with \[ ... \])
• Add a code trick to build subfile with its own bibliography
• Fix right path for main LaTeX document in first line of subfiles (\documentclass[...]{subfiles})
• Rename abstract_foreword.tex to foreword.tex
• Fix some non-ASCII codes inserted here or there in LaTeX (\[0-9]*)
• Made a first iteration on the indentation and alignement within math, figure and table environments to improve source code readability

File:

• NEMO/trunk/doc/latex/NEMO/subfiles/chap_STO.tex (modified) (8 diffs)

NEMO/trunk/doc/latex/NEMO/subfiles/chap_STO.tex

@@ -1 @@
-\documentclass[../tex_main/NEMO_manual]{subfiles}
+\documentclass[../main/NEMO_manual]{subfiles}
+
 \begin{document}
 % ================================================================
@@ -13 +14 @@
 \newpage
 
-
 The stochastic parametrization module aims to explicitly simulate uncertainties in the model.
 More particularly, \cite{Brankart_OM2013} has shown that,
@@ -23 +23 @@
 The stochastic formulation of the equation of state can be written as:
 \begin{equation}
- \label{eq:eos_sto}
+  \label{eq:eos_sto}
   \rho = \frac{1}{2} \sum_{i=1}^m\{ \rho[T+\Delta T_i,S+\Delta S_i,p_o(z)] + \rho[T-\Delta T_i,S-\Delta S_i,p_o(z)] \}
 \end{equation}
@@ -30 +30 @@
 the scalar product of the respective local T/S gradients with random walks $\mathbf{\xi}$:
 \begin{equation}
- \label{eq:sto_pert}
- \Delta T_i = \mathbf{\xi}_i \cdot \nabla T \qquad \hbox{and} \qquad \Delta S_i = \mathbf{\xi}_i \cdot \nabla S
+  \label{eq:sto_pert}
+  \Delta T_i = \mathbf{\xi}_i \cdot \nabla T \qquad \hbox{and} \qquad \Delta S_i = \mathbf{\xi}_i \cdot \nabla S
 \end{equation}
 $\mathbf{\xi}_i$ are produced by a first-order autoregressive processes (AR-1) with
@@ -53 +53 @@
 
 \begin{equation}
-\label{eq:autoreg}
-\xi^{(i)}_{k+1} = a^{(i)} \xi^{(i)}_k + b^{(i)} w^{(i)} + c^{(i)}
+  \label{eq:autoreg}
+  \xi^{(i)}_{k+1} = a^{(i)} \xi^{(i)}_k + b^{(i)} w^{(i)} + c^{(i)}
 \end{equation}
 
@@ -67 +67 @@
   and the parameters $a^{(i)}$, $b^{(i)}$, $c^{(i)}$ are given by:
 
-\begin{equation}
-\label{eq:ord1}
-\left\{
-\begin{array}{l}
-a^{(i)} = \varphi \\
-b^{(i)} = \sigma^{(i)} \sqrt{ 1 - \varphi^2 } 
- \qquad\qquad\mbox{with}\qquad\qquad
-\varphi = \exp \left( - 1 / \tau^{(i)} \right) \\
-c^{(i)} = \mu^{(i)} \left( 1 - \varphi \right) \\
-\end{array}
-\right.
-\end{equation}
+  \[
+    % \label{eq:ord1}
+    \left\{
+      \begin{array}{l}
+        a^{(i)} = \varphi \\
+        b^{(i)} = \sigma^{(i)} \sqrt{ 1 - \varphi^2 }        \qquad\qquad\mbox{with}\qquad\qquad \varphi = \exp \left( - 1 / \tau^{(i)} \right) \\
+        c^{(i)} = \mu^{(i)} \left( 1 - \varphi \right) \\
+      \end{array}
+    \right.
+  \]
 
 \item
@@ -86 +84 @@
   and the parameters $a^{(i)}$, $b^{(i)}$, $c^{(i)}$ are given by:
 
-\begin{equation}
-\label{eq:ord2}
-\left\{
-\begin{array}{l}
-a^{(i)} = \varphi \\
-b^{(i)} = \frac{n-1}{2(4n-3)} \sqrt{ 1 - \varphi^2 } 
- \qquad\qquad\mbox{with}\qquad\qquad
-\varphi = \exp \left( - 1 / \tau^{(i)} \right) \\
-c^{(i)} = \mu^{(i)} \left( 1 - \varphi \right) \\
-\end{array}
-\right.
-\end{equation}
+  \begin{equation}
+    \label{eq:ord2}
+    \left\{
+      \begin{array}{l}
+        a^{(i)} = \varphi \\
+        b^{(i)} = \frac{n-1}{2(4n-3)} \sqrt{ 1 - \varphi^2 }
+        \qquad\qquad\mbox{with}\qquad\qquad
+        \varphi = \exp \left( - 1 / \tau^{(i)} \right) \\
+        c^{(i)} = \mu^{(i)} \left( 1 - \varphi \right) \\
+      \end{array}
+    \right.
+  \end{equation}
 
 \end{itemize}
@@ -173 +171 @@
 $i.e.$ when the state of the random number generator is read in the restart file.
 
+\biblio
 
 \end{document}