respectively.
<P>
-For example (but this layout is not mandatory, and you should not rely on it),
+For example (though this sequence of shape functions is not
+guaranteed, and you should not rely on it),
the following layout could be used by the library:
<DIV ALIGN="CENTER">
</DIV><P></P>
<P>
As a final note: in the step-17 example program, we will revisit the elastic
problem laid out here, and will show how to solve it in parallel on a cluster
-of computers. The resulting problem will thus be able to solve this problem to
+of computers. The resulting program will thus be able to solve this problem to
significantly higher accuracy, and more efficiently if this is required.
$comp(i)$ and $base(i)$ have the ranges $0,1$ (in 2D) and $0,\ldots,n-1$,
respectively.
-For example (but this layout is not mandatory, and you should not rely on it),
+For example (though this sequence of shape functions is not
+guaranteed, and you should not rely on it),
the following layout could be used by the library:
\begin{center}
\begin{multline*}
As a final note: in the step-17 example program, we will revisit the elastic
problem laid out here, and will show how to solve it in parallel on a cluster
-of computers. The resulting problem will thus be able to solve this problem to
+of computers. The resulting program will thus be able to solve this problem to
significantly higher accuracy, and more efficiently if this is required.