union
Quick Summary
In mathematics and logic, a set is a collection of distinct objects, called elements. Sets can be finite, like the set of numbers {1, 2, 3}, or infinite, like the set of all integers.
The union of two sets, denoted by the symbol \u222a, combines all elements from both sets. For example, the union of set A {1, 2, 3} and set B {3, 4, 5} is {1, 2, 3, 4, 5}. The intersection of two sets, denoted by \u2229, includes only the elements that are common to both sets. For the same sets A and B, their intersection is {3}.12
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formal logicSet theorySimilarly, the union of x and y, symbolized as x ∪ y, is the class the members of which are the members of x together with those of y—in this case all the dots on the cross—i.e., {z : z ∊ x ∨ z ∊ y}; the…
Read MoreSimilarly, the union of x and y, symbolized as x ∪ y, is the class the members of which are the members of x together with those of y—in this case all the dots on the cross—i.e., {z : z ∊ x ∨ z ∊ y}; the…
Read More- set theoryOperations on sets
…is employed to denote the union of two sets. Thus, the set A ∪ B—read “A union B” or “the union of A and B”—is defined as the set that consists of all elements belonging to either set A or set B (or both). For example, suppose that Committee A,…
Read More…is employed to denote the union of two sets. Thus, the set A ∪ B—read “A union B” or “the union of A and B”—is defined as the set that consists of all elements belonging to either set A or set B (or both). For example, suppose that Committee A,…
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