Order Dimension - Formal Definition

Formal Definition

The dimension of a poset P is the least integer t for which there exists a family

of linear extensions of P so that, for every x and y in P, x precedes y in P if and only if it precedes y in each of the linear extensions. That is,

Read more about this topic:  Order Dimension

Famous quotes containing the words formal and/or definition:

    “On every formal visit a child ought to be of the party, by way of provision for discourse.”
    —Jane Austen (1775–1817)

    “The physicians say, they are not materialists; but they are:MSpirit is matter reduced to an extreme thinness: O so thin!—But the definition of spiritual should be, that which is its own evidence. What notions do they attach to love! what to religion! One would not willingly pronounce these words in their hearing, and give them the occasion to profane them.”
    —Ralph Waldo Emerson (1803–1882)