Sentence examples for set-theoretic operation from inspiring English sources

It is also easy to see that the propositional connective ∧ corresponds to the set-theoretic operation ∩, while ∨ corresponds to ∪, ¬ corresponds to the set-theoretic complement, and → corresponds to ⊆. Modal logics that contain the reflection axiom □A →A enjoy a particularly natural interpretation of the modal operators as well.

Number-theoretic operations could then be explained in terms of set-theoretic operations such as intersection, union, and difference.

It follows that number-theoretic operations may then be explained in terms of set-theoretic operations such as intersection, union, and difference.

A class of decision problems is Boolean if it is closed under the set-theoretic operations of union, intersection and complementation.

However, ordinals supply us with a ranking of the universe and we can still define many of the familiar set-theoretic operations by transfinite recursion on ordinals (see Aczel and Rathjen 2001, Section 4.2).

An interval-valued fuzzy set on a universe U is a mapping μ : U → L I. The union, intersection and complement of interval-valued fuzzy sets can be obtained by canonically extending fuzzy set-theoretic operations to intervals.

This increases the asymptotic running time by a factor that depends only on the time complexity of the particular set theoretic operation.

Finally a set theoretic operations of intervals like union, intersection are also discussed and some results are obtained.

This is achieved through set theoretic operations involving the healthy/faulty behavior of residual signals related to the system dynamics.

According to Weyl, Richard's paradox teaches us the following distinction: on the one hand, we are able to characterize only denumerably many subsets of a given set by means of explicit definitions; but, on the other hand, new objects and (possibly uncountable) sets can be introduced by applying the remaining set theoretic operations, like power set or union.

Familiar logical relations and operations correspond to well-understood set-theoretic relations and operations on ranges.