What I've described is the concept of a vector. You will have to determine the notation, and in setting the notation, and ordered list of basis vector coefficie

What I've described is the concept of a vector. You will have to determine the notation, and in setting the notation, and ordered list of basis vector coefficients is most commonly called a tuple, which is a generalization of ordered pair / triple / quadruple, etc.. (Though 'tuple' doesn't usually imply ordered.) The reason 'array' doesn't really work is that arrays are generally understood to be homogeneous in type, while tuples are usually Cartesian products. So if you are using a Cartesian coordinate system, tuple is the ideal term. http://en.wikipedia.org/wiki/Tuple#Type_theory http://en.wikipedia.org/wiki/Tuple#Type_theory