Similarly, the idea that ? is a proper subset of the region of discontinuity is important; when it is not, the subgroup is called a Kleinian group.
32.
There exist lattices in which the join-prime elements form a proper subset of the join-irreducible elements, but in a distributive lattice the two types of elements coincide.
33.
Using the proper subset of hardware description language, a program called a synthesizer, or clock edges as the way to time the circuit, ignoring any timing constructs.
34.
The LL ( 1 ) languages are a proper subset of the LR ( 1 ) languages which in turn are a proper subset of all context-free languages.
35.
The LL ( 1 ) languages are a proper subset of the LR ( 1 ) languages which in turn are a proper subset of all context-free languages.
36.
The same is true for agent Y . Since S is a proper subset of the agents, the induction assumption can be invoked and the theorem is proved.
37.
A constant function on, if has more than 1 element, has an image that is a proper subset of its codomain, is not bijective ( and non invertible ).
38.
An unsatisfiable core is called a " minimal unsatisfiable core ", if every proper subset ( allowing removal of any arbitrary clause or clauses ) of it is satisfiable.
39.
Each of the above sets of numbers has an infinite number of elements, and each can be considered to be a proper subset of the sets listed below it.
40.
The set of theorems of a deviant logic can differ in any possible way from classical logic's set of theorems : as a proper subset, superset, or fully exclusive set.
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