Search results
- Dictionarywell or·der·ed/ˈwelˌôːrdərd/
adjective
- 1. arranged or organized in an orderly way: "the only rash decision of his well-ordered life"
Powered by Oxford Dictionaries
The meaning of WELL-ORDERED is having an orderly procedure or arrangement. How to use well-ordered in a sentence.
Well-ordered definition: arranged, planned, or occurring in a desirable way, sequence, etc.. See examples of WELL-ORDERED used in a sentence.
In mathematics, a well-order (or well-ordering or well-order relation) on a set S is a total ordering on S with the property that every non-empty subset of S has a least element in this ordering. The set S together with the ordering is then called a well-ordered set.
A well order (also referred as well-ordering or well-order relation) is a special type of total order where every non-empty subset has a least element. A set with a well-order relation is called a well-ordered set. For example, the set of natural numbers ℕ under the usual order relation ≤ forms a well-ordered set.
Jun 3, 2024 · Definitions of well-ordered. Definitions of. well-ordered. adjective. ordered well. “ well-ordered work habits”. synonyms: regular. in accordance with fixed order or procedure or principle.
Well-ordered Definition. welôrdərd. Sentences. Definition Source. Adjective. Verb. Filter. adjective. Properly or carefully organized. Webster's New World. Having a precise arrangement. Wiktionary. (mathematics, not comparable) Having a well-order. Wiktionary. verb. Simple past tense and past participle of well-order. Wiktionary. Advertisement.
(of a relation) having the property that every nonempty subset of its field has a least member under the relation: less than is well-ordered on the natural numbers but not on the reals, since an open set has no least member
(of a relation) having the property that every nonempty subset of its field has a least member under the relation: less than is well-ordered on the natural numbers but not on the reals, since an open set has no least member
Definition of well ordered adjective in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
Jan 8, 2017 · Well-ordered set. A set $ \mathbb {P} $ equipped with a binary relation $ \leq $ that satisfies the following conditions: For any $ x,y \in \mathbb {P} $, either $ x \leq y $ or $ y \leq x $. For any $ x,y \in \mathbb {P} $, if $ x \leq y $ and $ y \leq x $, then $ x = y $.
