If neighboring spins are only allowed in certain specific configurations, then the state space is given by a subshift of finite type.
Structured distributed lag models come in two types: finite and infinite.
Similar choice principles are accepted for all finite types.
There is also a notion of finite type invariant for 3-manifolds.
So this cluster algebra has exactly 5 clusters, and in particular is of finite type.
The most widely studied shift spaces are the subshifts of finite type.
This is an example of a morphism of finite type.
They consist of a collection of functions in all pure finite types.
There is a very finite type of building fitting our mold.
The Ahlfors finiteness theorem says that such a group is of finite type.