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It is suggested that a medium it which the field vectors D and H depend on both E and B but are parallel to neither be described as bianisotropic. A moving medium, even if it is isotropic it its rest frame, then appears bianisotropic to the laboratory observer. This paper gives the transformation formulas for the constitutive relations of a bianisotropic medium between inertial frames in relative motion. It circumvents the necessity of knowing the constitutive relations of the medium in its rest frame. As an application of the general formulation, the dispersion relations for plane waves in a bianisotropic medium are derived.