A composition for and methods of preserving a topical cosmetic, toiletry or pharmaceutical formulation against microbiological contamination or growth are described in which the compositions used herein include at least one hydroxamic acid, salt or complex thereof, and the methods include addition of an effective amount of such compounds to a cosmetic, toiletry or pharmaceutical formulation. The overall simulation may operate with respect to a clock or timing device or it may operate with respect to transactions. If the control unit determines that the picked-up image includes a projection video other than the video projected by the projection unit, the control unit instructs a keystone correction unit to carry out keystone correction of the video signal in accordance with the picked-up image.