Preserivng pieces of information in a given order in HRR and GAc

Geometric Analogues of Holographic Reduced Representations (GA HRR or GA
c
— the continuous version of discrete GA described in [16]) employ role-filler binding based on geometric products. Atomic objects are real-valued vectors in n-dimensional Euclidean space and complex statements belong to a hierarchy of multivectors. A property of GA
c
and HRR studied here is the ability to store pieces of information in a given order by means of trajectory association. We describe results of an experiment: finding the alignment of items in a sequence without the precise knowledge of trajectory vectors.