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  1. Dictionary
    well ordered

    adjective

    • 1. arranged or organized in an orderly way: "the only rash decision of his well-ordered life"
  2. The meaning of WELL-ORDERED is having an orderly procedure or arrangement. How to use well-ordered in a sentence.

  3. en.wikipedia.org › wiki › Well-orderWell-order - Wikipedia

    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.

  4. Well-ordered definition: arranged, planned, or occurring in a desirable way, sequence, etc.. See examples of WELL-ORDERED used in a sentence.

  5. Jun 30, 2021 · Let’s call this set of numbers—you guessed it—\(\mathbb{N} + \mathbb{F}\). There is a simple recipe for finding the minimum number in any nonempty subset of \(\mathbb{N} + \mathbb{F}\), which explains why this set is well ordered: Lemma 2.4.5. \(\mathbb{N} + \mathbb{F}\) is well ordered. Proof. Given any nonempty subset, \(S\), of ...

  6. 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.

  7. verb. Simple past tense and past participle of well-order. Wiktionary. Advertisement. Well-ordered Sentence Examples. No trace exists of the splendour of the ancient city, with its regular streets, well-ordered plan and numerous public buildings.

  8. (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

  9. (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

  10. Definition of well-ordered adjective in Oxford Advanced American Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.

  11. 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. See meaning & use. How common is the adjective well-ordered? About 0.5 occurrences per million words in modern written English. See frequency.