text/obsolete/explicit.tex
changeset 774 b88c4c4af945
parent 281 630ceb40a07b
--- a/text/obsolete/explicit.tex	Sun May 08 09:05:53 2011 -0700
+++ b/text/obsolete/explicit.tex	Sun May 08 22:08:47 2011 -0700
@@ -45,7 +45,7 @@
 so we conclude that for a fixed $p$, $\partial_p H''(1,p,x) = 0$ for all $x$ outside the union of $k$ open sets from the open cover, namely
 $\bigcup_{i=1}^k U_{l_i}$ where for each $i$, we choose $l_i$ so $\frac{l_i -1}{L} \leq p_i \leq \frac{l_i}{L}$. It may be helpful to refer to Figure \ref{fig:supports}.
 
-\begin{figure}[!ht]
+\begin{figure}[t]
 \begin{equation*}
 \mathfig{0.5}{explicit/supports}
 \end{equation*}
@@ -65,7 +65,7 @@
 \end{align*}
 (Note that we're abusing notation somewhat, using the fact that $u''(t,p,x)_i$ depends on $p$ only through $p_i$.)
 To see what's going on here, it may be helpful to look at Figure \ref{fig:supports_4}, which shows the support of $\partial_p u'(1,p,x)$.
-\begin{figure}[!ht]
+\begin{figure}[t]
 \begin{equation*}
 \mathfig{0.4}{explicit/supports_4} \qquad \qquad \mathfig{0.4}{explicit/supports_36}
 \end{equation*}