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The Birmingham metropolitan area, sometimes known as Greater Birmingham, is a metropolitan area in north central Alabama centered on Birmingham, Alabama, United States.. As of 2023, the federal government defines the Birmingham, AL Metropolitan Statistical Area as consisting of seven counties (Bibb, Blount, Chilton, Jefferson, St. Clair, Shelby, and Walker) centered on Birmingham. [2]
According to Raymond Wilder (1965), there are four axioms that make a set C and the relation < into a linear continuum: . C is simply ordered with respect to <.; If [A,B] is a cut of C, then either A has a last element or B has a first element.
This is a list of the constituent towns, villages and areas of Birmingham (both the city and the metropolitan borough) in England.. Between 1889 and 1995, the city boundaries were expanded to include many places which were once towns or villages in their own right, many of which still retain a distinctive character.
Continuum (pl.: continua or continuums) theories or models explain variation as involving gradual quantitative transitions without abrupt changes or discontinuities. In contrast, categorical theories or models explain variation using qualitatively different states.
In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets.It states: There is no set whose cardinality is strictly between that of the integers and the real numbers.
An arc is a space homeomorphic to the closed interval [0,1]. If h: [0,1] → X is a homeomorphism and h(0) = p and h(1) = q then p and q are called the endpoints of X; one also says that X is an arc from p to q.
In set theory, the cardinality of the continuum is the cardinality or "size" of the set of real numbers, sometimes called the continuum.It is an infinite cardinal number and is denoted by (lowercase Fraktur "c") or | | [1]
Continuum (set theory), the real line or the corresponding cardinal number Linear continuum, any ordered set that shares certain properties of the real line; Continuum (topology), a nonempty compact connected metric space (sometimes Hausdorff space)