changed to inline equation default for mathjax

This commit is contained in:
rowanc1
2014-02-13 08:41:18 -08:00
parent b0a99d4116
commit 47c2927ffc
+7 -23
View File
@@ -48,22 +48,6 @@
\newcommand{\I}{\vec{I}}
.. raw:: html
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
extensions: ["tex2jax.js"],
jax: ["input/TeX", "output/HTML-CSS"],
tex2jax: {
inlineMath: [ ['$','$'], ["\\(","\\)"] ],
displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
processEscapes: true
},
"HTML-CSS": { availableFonts: ["TeX"] },
TeX: {extensions: ["color.js"]}
});
</script>
Sensitivity Calculation
***********************
@@ -156,7 +140,7 @@ where
\right]
\end{align}
For the fields $\u$, the measured data is given by
For the fields \\(\\u\\), the measured data is given by
.. math::
@@ -173,7 +157,7 @@ The sensitivity matrix **J** is then defined as
\end{align}
Defining the function $\\c(m,\\u)$ to be
Defining the function \\(\\c(m,\\u)\\) to be
.. math::
@@ -244,9 +228,9 @@ Implementing **J** times a vector
Multiplying **J** onto a vector can be broken into three steps
* Compute $\\vec{p} = \\mathbf{G}m$
* Solve $\\hat{\\mathbf{A}} \\vec{y} = \\vec{p}$
* Compute $\\vec{w} = -\\mathbf{Q} \\vec{y}$
* Compute \\(\\vec{p} = \\mathbf{G}m\\)
* Solve \\(\\hat{\\mathbf{A}} \\vec{y} = \\vec{p}\\)
* Compute \\(\\vec{w} = -\\mathbf{Q} \\vec{y}\\)
.. math::
@@ -285,7 +269,7 @@ Remaining time steps:
\begin{align}
\dcurl \vec{y}_{e}^{(t+1)} + \frac{1}{\delta t} \vec{y}_{b}^{(t+1)}
{\color{red}- \frac{1}{\delta t} \vec{y}_{b}^{(t)} }
- \frac{1}{\delta t} \vec{y}_{b}^{(t)}
= \vec{p}_b^{(t+1)} \\
\dcurl^\top \MfMui \vec{y}_b^{(t+1)} - \MeSig \vec{y}_e^{(t+1)} = \vec{p}_e^{(t+1)}
\end{align}
@@ -296,7 +280,7 @@ and
\begin{align}
\left( \MfMui \dcurl \MeSig^{-1} \dcurl^\top \MfMui + \frac{1}{\delta t} \MfMui \right) \vec{y}_{b}^{(t+1)} =
{\color{red} \frac{1}{\delta t} \MfMui \vec{y}_b^{(t)} }
\frac{1}{\delta t} \MfMui \vec{y}_b^{(t)}
+ \MfMui \dcurl \MeSig^{-1} \vec{p}_e^{(t+1)} + \MfMui \vec{p}_b^{(t+1)} \\
\vec{y}_e^{(t+1)} = \MeSig^{-1} \dcurl^\top \MfMui \vec{y}_b^{(t+1)} - \MeSig^{-1} \vec{p}_e^{(t+1)}
\end{align}