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**Sign Vector**

A sign vector on a finite ground set
$$*E* is a vector in $\{-,+,0\}$*E*.

For example, $$*X* = (+,0,+,-) is a sign vector on a
ground set of cardinality $4$, say
$$*E* = {1,2,3,4}.

Usually, we simply write $$*X* = (+0+-) or
$$*X* = +0+-.

The sign corresponding to an element
$$*e* in *E* is denoted by
$$*X _{e}*.

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