Total Order
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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 mathematics and set theory, a total order, linear order, simple order, or (non-strict) ordering is a binary relation (here denoted by infix ) on some set X. The relation is transitive, antisymmetric, and total. A set paired with a total order is called a totally ordered set, a linearly ordered set, a simply ordered set, or a chain. Contrast with a partial order, which lacks the third condition. A relation having the property of "totality" means that any pair of elem...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.In mathematics and set theory, a total order, linear order, simple order, or (non-strict) ordering is a binary relation (here denoted by infix ) on some set X. The relation is transitive, antisymmetric, and total. A set paired with a total order is called a totally ordered set, a linearly ordered set, a simply ordered set, or a chain. Contrast with a partial order, which lacks the third condition. A relation having the property of "totality" means that any pair of elements in the set of the relation are mutually comparable under the relation.
