Bracket (mathematics) - Sets and Groups

Sets and Groups

Curly brackets { } are used to identify the elements of a set: {a,b,c} denotes a set of three elements.

Angle brackets are used in group theory to write group presentations, and to denote the subgroup generated by a collection of elements.

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Famous quotes containing the words sets and/or groups:

    “There be some sports are painful, and their labor
    Delight in them sets off. Some kinds of baseness
    Are nobly undergone, and most poor matters
    Point to rich ends.”
    —William Shakespeare (1564–1616)

    “Belonging to a group can provide the child with a variety of resources that an individual friendship often cannot—a sense of collective participation, experience with organizational roles, and group support in the enterprise of growing up. Groups also pose for the child some of the most acute problems of social life—of inclusion and exclusion, conformity and independence.”
    —Zick Rubin (20th century)