A support apparatus for a caf\xe9 umbrella has a support arm pivotally attached to a generally vertical pole. Messages on these channels are time progressions in at least the actively used dimensions of the vector space which have been linearly transformed to create a sample list transported across at least one physical transport layer to a receiver. The wide mouth has a trumpet-shaped recessed mouth in an inside for guiding a guide needle of a male connector to be inserted through therein with only a little resistance given by the mouth.