A sheet guide apparatus includes a transfer cylinder, delivery chains, and sheet guide structure. A substrate having at least one trench is provided. The deinterlacer comprises a first circuit and a second circuit. This prevents dust in the external air from adhering to a reflective surface of the projection mirror regardless of the installation state of the projection image displaying device. The invention also relates to a method for producing such a membrane, batteries containing such membranes as battery separators, methods for making such batteries, and methods for using such batteries.