  A simplex in n dimensions is defined by the usual (n+1) linear inequality
constraints in n dimensions. Here we consider simplexes which are bounded sets.
The harmonic center has been defined earlier for polytopes in general. A
relationship between the rows of A is derived here, which must be satisfied for
the simplex to be bounded. Using this condition, an interesting relationship is
derived between the (n+1) residuals at the harmonic center of the simplex.
Finally, a linear expression is developed which is invariant everywhere in the
simplex.
