Union (Set Theory)
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In set theory, the union (denoted as ) of a collection of sets is the set of all distinct elements in the collection. The union of a collection of sets S_1, S_2, S_3, dots , S_n,! gives a set S_1 cup S_2 cup S_3 cup dots cup S_n.Other more complex operations can be done including the union, if the set is for example defined by a property rather than a finite or assumed infinite enumeration of elements. As an example, a set could be defined by a property or algebraic e...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In set theory, the union (denoted as ) of a collection of sets is the set of all distinct elements in the collection. The union of a collection of sets S_1, S_2, S_3, dots , S_n,! gives a set S_1 cup S_2 cup S_3 cup dots cup S_n.Other more complex operations can be done including the union, if the set is for example defined by a property rather than a finite or assumed infinite enumeration of elements. As an example, a set could be defined by a property or algebraic equation, which is referred to as a solution set when resolved.If we are then to refer to a single element by the variable "x", then we can say that x is a member of the union if it is an element present in set A or in set B, or both.
