  We consider simply connected bodies or regions of finite extent in space or
space-time and write conservation laws associated with the equations in Parts
I-IV. We review earlier work where, for elliptic equations,the boundary value
problem is reformulated as a problem in the abstract theory of composites and
the associated effective operator is equated with the Dirichlet-to-Neumann map
that governs the response of the body. The dielectric polarizability problem
and acoustic and electromagnetic scattering by an inclusion are formulated as
problems in the extended abstract theory of composites. The scattering response
can be determined from appropriate integrals over the inclusion.
