Order Dimension
In mathematics, the dimension of a partially ordered set (poset) is the smallest number of total orders the intersection of which gives rise to the partial order. This concept is also sometimes called the order dimension or the DushnikâMiller dimension of the partial order. Dushnik & Miller (1941) first studied order dimension; for a more detailed treatment of this subject than provided here, see Trotter (1992).
Read more about Order Dimension: Formal Definition, Realizers, Example, Order Dimension Two, Computational Complexity, Incidence Posets of Graphs, K-dimension and 2-dimension
Famous quotes containing the words order and/or dimension:
““I have said no
To everything, in order to get at myself.
I have wiped away moonlight like mud....””
—Wallace Stevens (1879–1955)
“Authority is the spiritual dimension of power because it depends upon faith in a system of meaning that decrees the necessity of the hierarchical order and so provides for the unity of imperative control.”
—Shoshana Zuboff (b. 1951)