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Sixth Corps Area Support Command
Sixth is the ordinal form of the number six. * The Sixth Amendment, to the U.S. Constitution * A keg of beer, equal to 5 U.S. gallons or barrel * The fraction Music * Sixth interval (music)s: ** major sixth, a musical interval ** minor sixth, a musical interval ** diminished sixth, an interval produced by narrowing a minor sixth by a chromatic semitone ** augmented sixth, an interval produced by widening a major sixth by a chromatic semitone * Sixth chord, two different kinds of chord * Submediant, sixth degree of the diatonic scale * Landini sixth, a type of cadence * Sixth (interval) Other uses * ''The Sixth'' (1981 film), a Soviet film directed by Samvel Gasparov * ''The Sixth'' (2024 film), an American documentary film directed by Andrea Nix Fine and Sean Fine * The 6ths, a band created by Stephin Merritt * LaSexta La Sexta (; ; stylised as laSexta) is a privately owned Spanish free-to-air television channel that was founded on 18 March 2001 as Beca TV and began br ...
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Ordinal Number
In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, th, etc.) aimed to extend enumeration to infinite sets. A finite set can be enumerated by successively labeling each element with the least natural number that has not been previously used. To extend this process to various infinite sets, ordinal numbers are defined more generally using linearly ordered greek letter variables that include the natural numbers and have the property that every set of ordinals has a least or "smallest" element (this is needed for giving a meaning to "the least unused element"). This more general definition allows us to define an ordinal number \omega (omega) to be the least element that is greater than every natural number, along with ordinal numbers , , etc., which are even greater than . A linear order such that every non-empty subset has a least element is called a well-order. The axiom of choice implies that every set can be well-orde ...
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