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alternating tensor antisymmetric Cartesian coordinate system Cartesian tensors Christoffel symbols considered constant continuity equation contravariant and covariant coordinate axes corresponding covariant derivative covariant differentiation covariant vector defined developed diffusion dT dT dt dxj dxh dxh dxj dxj effects elastic electric current electromagnetic energy equation 3.4 equation of equation equations 4.28 example follows function generalised coordinate system given heat transfer isotropic tensors Kronecker delta linear mass transfer material property metric tensor mixed tensor momentum equation number density obtained parameters particles particular physical processes potential field problems propagation radiation rectangular Cartesian coordinates result scalar potential second order tensor seen shown solid stress tensor stress/strain relationship surface forces symmetrical tensor temperature gradient tensor algebra tensor analysis tensor notation tensor of order tensor quantities term in equation thermal flux thermodynamic transformation rule transport equation turbulent unit volume values variables wave written zero