Sentence examples for ordering relation from inspiring English sources

(Note that the ordering relation is not symmetric).

The ordering relation "less than or equal to" (symbolized by ≤) is reflexive, but "less than" (symbolized by <) is not.

The origin of the axiom of choice was Cantor's recognition of the importance of being able to "well-order" arbitrary sets i.e., to define an ordering relation for a given set such that each nonempty subset has a least element.

By using five of the axioms (2 6), a variety of basic concepts of naive set theory (e.g., the operations of union, intersection, and Cartesian product; the notions of relation, equivalence relation, ordering relation, and function) can be defined with ZFC.

(Note that the ordering relation is not symmetric.) These examples also have the property that whenever one object bears the relation to a second, which further bears the relation to a third, then the first bears that relation to the third e.g., if a < b and b < c, then a < c.

Nieuwentijdt postulates a domain of quantities, or numbers, subject to a ordering relation of greater or less.

We define the ordering relations as follows.

The second major difficulty is along the same lines, concerning, not functions, but relations, and thus ordering relations and ordinal numbers.

With this, the Asinfor Rtheink basexampleications is used only for logical slot ordering, while the actual logical schedule mapresentedthe current set of randomined slots is perFigure by WisperNet.

Let X be an ordered Hilbert space and ≤ be a partially ordered relation.

The real Banach space X endowed with the ordered relation ≤ defined by C is called an ordered real Banach space.