In a combination of a display sleeve and a dispensing container, the dispensing container has a hollow interior volume for holding and dispensing materials and a dispensing opening for allowing materials contained in the interior volume to be passed through the opening to outside the dispensing container. The first and second surfaces are movable relative to one another between a first and a second relative position, and, when in the second relative position, cooperate to accommodate a section of the optical fiber therebetween. The diagnosis sampler provides a sample of the electrical signal to the controller, which has functional aspects such as an envelope detect, a spectrum analysis, and a fault detect. The method further includes restoring the processed speech signal based on the bin-wise voice activity detection. The display controls and a user interface that contains them may vary without altering the basic functionality of the list manager. Parts designated as datapath can be subject to a form of equivalence checking that seeks to prove equivalence by a form of inductive theorem proving.