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- DictionaryWell or·der·ed/ˈwelˌôːrdərd/
adjective
- 1. arranged or organized in an orderly way: "the only rash decision of his well-ordered life"
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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.
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.
Aug 22, 2024 · Well Ordered Set. A totally ordered set is said to be well ordered (or have a well-founded order) iff every nonempty subset of has a least element (Ciesielski 1997, p. 38; Moore 1982, p. 2; Rubin 1967, p. 159; Suppes 1972, p. 75). Every finite totally ordered set is well ordered.
What does the adjective well-ordered mean? There are two meanings listed in OED's entry for the adjective well-ordered . See ‘Meaning & use’ for definitions, usage, and quotation evidence.
Definition of well ordered adjective in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
5 days ago · well-ordered. Definitions of well-ordered. adjective. ordered well. “ well-ordered work habits”. synonyms: regular. in accordance with fixed order or procedure or principle.
(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
well–ordered /ˌwɛl ˈ oɚdɚd/ adjective. Britannica Dictionary definition of WELL–ORDERED. [more well–ordered; most well–ordered] : carefully organized or controlled. a well-ordered household. well-ordered lives.