Say 'applied to', not 'applied on'

There are also situations where 'applied on' is correct, but I don't think we have any of these in the specification.

chapters/equations.tex

@@ -438,7 +438,7 @@ \subsection{reinit}\label{reinit}
 such a way that variables with an applied \lstinline!reinit! are
 selected as states at least when the corresponding when-clauses become
 active. If this is not possible, an error occurs, since otherwise
-\lstinline!reinit! would be applied on a non-state variable.
+\lstinline!reinit! would be applied to a non-state variable.
 
 Example for the usage of \lstinline!reinit! (bouncing ball):
 \begin{lstlisting}[language=modelica]

chapters/synchronous.tex

@@ -1182,7 +1182,7 @@ \subsection{Solver Methods}\label{solver-methods}
 \dot{x} &= f(x, u, t)\\
 y &= g(x, u, t)
 \end{align*}
-A solver method is applied on a subclock partition. Such a partition has
+A solver method is applied to a subclock partition. Such a partition has
 explicit inputs $u$ marked by \lstinline!sample($u$)!,
 \lstinline!subSample($u$)!, \lstinline!superSample($u$)!, \lstinline!shiftSample($u$)!
 and/or \lstinline!backSample($u$)!. Furthermore, the outputs $y$ of
@@ -1368,7 +1368,7 @@ \section{Initialization of Clocked Partitions}\label{initialization-of-clocked-p
   Clocked discrete-time variables cannot be used in initial equation or
   initial algorithm sections.
 \item
-  Attribute \lstinline!fixed! cannot be applied on clocked discrete-time
+  Attribute \lstinline!fixed! cannot be applied to clocked discrete-time
   variables. The attribute \lstinline!fixed! is true for variables to which
   \lstinline!previous! is applied, otherwise false.
 \end{itemize}