Associations to the word «Ordered»

ORDERED, adjective. In order, not messy, tidy.

ORDERED, verb. Simple past tense and past participle of order

ORDERED FIELD, noun. (algebra) A field which has an order relation satisfying these properties: trichotomy, transitivity, preservation of an inequality when the same element is added to both sides, and preservation of an inequality when the same strictly positive element is multiplied to both sides.

ORDERED INTEGRAL DOMAIN, noun. (algebra) An integral domain which has a subset whose elements are said to be "positive", such that this subset is closed under addition, closed under multiplication, and all elements of the integral domain satisfy a law of trichotomy; namely, that either that element is in the said subset, or it is the zero (additive identity), or its product with −1 (the additive inverse of the multiplicative identity) belongs to the said subset.

ORDERED OUT, verb. Simple past tense and past participle of order out

ORDERED PAIR, noun. (set theory) An object containing exactly two elements in a fixed order, so that, when the elements are different, exchanging them gives a different object. Notation: (a, b) or \(\langle a, b\rangle\).

ORDERED PAIRS, noun. Plural of ordered pair

ORDERED, adjective. Having a systematic arrangement; especially having elements succeeding in order according to rule; "an ordered sequence".

ORDERED, adjective. Disposed or placed in a particular kind of order; "the carefully arranged chessmen"; "haphazardly arranged interlobular septa"; "comfortable chairs arranged around the fireplace".

ORDERED, adjective. Marked by an orderly, logical, and aesthetically consistent relation of parts; "a coherent argument".