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This does not apply to every 1D replicator.
The replicator itself is A.
The replicator shifted left one cell is A<.
The replicator shifted right one cell is A>.
The replicator shifted up one cell is A^.
The replicator shifted down one cell is Av.
An empty space is 0.
Reactions are described as follows:
A(transformations) or 0+A(transformations) or 0=A(transformations) or 0
If one transforms the inputs in the same way, the output will have the identical transformation applied to it, too.