Oscillation of a sequence (shown in blue) is the difference between the limit superior and limit inferior of the sequence. In mathematics, the oscillation of a function or a sequence is a number that quantifies how much a sequence or function varies between its extreme values as it approaches infinity or a point.
Herbert is a mild form of abuse meaning a silly, or dim-witted person. The origin of this term seems to be that it was derived from the name Herbert, which meant bright.. It was used in the very direct opposite, to mean dumb.
Gertrude is, more so than any other character in the play, the antithesis of her son, Hamlet. Hamlet is a scholar and a philosopher, searching for life's most elusive answers. He cares nothing for this mortal coil and the vices to which man has become slave. Gertrude is shallow, and thinks only about her body and external pleasures. Like a child she longs to be delighted.