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empty set
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empty set

In mathematics, set with no elements.



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1 Formalizing Automaton and its Extensions An algebraic automaton (AA) is a 3-tuple (Q, [SIGMA], [delta]), where 1) Q is a finite nonempty set of states, 2) E is a finite set of alphabets and 3) [delta] is a transition function which takes a state and an alphabet and produces a state.
The number of ways n populations can be partitioned into these nonempty sets is called the Bell number (Rota, 1964; Cameron, 1994).
The Hausdorff b-metric H on CL(X), the collection of all nonempty closed subsets of (X, d) is defined as follows: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] In all that follows Y is an arbitrary nonempty set and (X, d) a b-metric space unless otherwise specified.
 
 
 
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