In mathematics, the least-upper-bound property (sometimes called completeness or supremum property or l.u.

In mathematics, Dedekind cuts, named after German mathematician Richard Dedekind but previously considered by Joseph Bertrand, are а method of construction of the real numbers from the rational numbers. A Dedekind cut is a partition of the rational numbers into two sets A and B, such that all elements of A are less than all elements of B, and A contains no greatest element.

n. anything that is owned by a person or entity. Property is divided into two types: "real property," which is any interest in land, real estate, growing plants or the improvements on it, and "personal property" (sometimes called "personalty"), which is everything else. "Common property" is ownership by more than one person of the same possession. "Community property" is a form of joint ownership between husband and wife recognized in several states. "Separate property" is property owned by one spouse only in a community property state, or a married woman's sole ownership in some states. "Public property" refers to ownership by a governmental body such as the federal, state, county or city governments or their agencies (e.g. school or redevelopment districts). The government and the courts are obligated to protect property rights and to help clarify ownership. See also: common property community property personal property personalty public property real property separate property