diff --git a/report.tex b/report.tex index eae8b98..cf2fcff 100644 --- a/report.tex +++ b/report.tex @@ -255,7 +255,7 @@ \begin{frame}{Towards first order Z4c}{First order reduction} We can introduce auxiliary variables to reduce a second order PDE system to a first order one. For example, for the wave equation on flat spacetime: \begin{equation} - \pdvt[2]{\phi} - \tensor{\delta}{^i^j} \Partial{i} \Partial{j} \phi = 0, + \Partial{t}^2 {\phi} - \tensor{\delta}{^i^j} \Partial{i} \Partial{j} \phi = 0, \end{equation} we can introduce $\pi := \Partial{t} \phi$ and $\tensor{\psi}{_i} := \Partial{_i} \phi$, and rewrite the wave equation as \begin{equation}