(ordered)
61ordered lattice — noun : the crystal lattice of a substitutional alloy in which the substituted atoms occur in a regular order of spacing …
62ordered field — Math. a field containing a subset of elements closed under addition and multiplication and having the property that every element in the field is either zero, in the subset, or has its additive inverse in the subset. [1940 45] …
63ordered n-tuple — Math. See under n tuple. [1960 65] …
64ordered pair — Math. two quantities written in such a way as to indicate that one quantity precedes or is to be considered before the other, as (3, 4) indicates the Cartesian coordinates of a point in the plane. [1950 55] …
65Cyclically ordered group — In mathematics, a cyclically ordered group is a set with both a group structure and a cyclic order, such that left and right multiplication both preserve the cyclic order. Cyclically ordered groups were first studied in depth by Ladislav Rieger… …
66Partially ordered set — The Hasse diagram of the set of all subsets of a three element set {x, y, z}, ordered by inclusion. In mathematics, especially order theory, a partially ordered set (or poset) formalizes and generalizes the intuitive concept of an ordering,… …
67Partially-ordered group — In abstract algebra, a partially ordered group is a group (G,+) equipped with a partial order ≤ that is translation invariant; in other words, ≤ has the property that, for all a, b, and g in G, if a ≤ b then a+g ≤ b+g and g+a ≤ g+b. An element x… …
68Special ordered set — In discrete optimization, a special ordered set is an ordered set of variables. There are two sorts of Special Ordered Sets.Special Ordered Sets of type 1 (SOS1 or S1) are a set of variables, at most one of which can take a strictly positive… …
69This Is Not the Life I Ordered — Infobox Book name = This Is Not the Life I Ordered title orig = translator = image caption = Book cover author = Deborah Collins Stephens, Michealene Cristini Risley, Jackie Speier, Jan Yanehiro illustrator = John Grimes cover artist = Jessica… …
70Linearly ordered group — In abstract algebra a linearly ordered or totally ordered group is an ordered group G such that the order relation le; is total. This means that the following statements hold for all a , b , c isin; G :* if a le; b and b le; a then a = b… …
