The present disclosure generally relates to recording movement of a portable electronic device, and more particularly, to a portable electronic device and methods for recording mobility of the portable electronic device. The system detects conflicts between two access control rules by finding all common variables between the two rules and determining if there are values for all the common variables that simultaneously satisfy both rules. As such, the received e-mail message is deleted if the received e-mail message is considered redundant to a recipient terminal. In another embodiment of the invention, the ink can be used for screen or ink-jet printing a precursor layer that can be annealed to a CIS comprising absorber layer for a photovoltaic device. Afterward, MMSE combining is performed. This leads to a transmission signal having a frequency higher than the cut-off frequency of, for example, an IC or a transmission line substrate having an electrical characteristic of generating and propagating a modulation signal in such a form as an optical MUX.