define well ordered - EAS
Dictionary
Data from Oxford LanguagesLook it upWe couldn't find a definition. Try searching the web forwell or·der·ed[ˈwelˌôːrdərd]✕PlayADJECTIVEwell ordered (adjective) · well-ordered (adjective)- arranged or organized in an orderly way:"the only rash decision of his well-ordered life" · "this is a lovely book, beautifully designed and well ordered"
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PublicKeyToken=null","ModelResolver":null,"InternalFrameworkStateDoNotUse":null,"SchemaName":"Dictionary.Translation.Content","KifMajorVersion":1,"KifMinorVersion":0,"KifMinorVersion2":0}],"InternalModelInterfaceDoNotUse":"Microsoft.Search.ModelSerialization.Models.Dictionary.Translation.ILangContentPair_1, Microsoft.Search.Frontend.SchemaInterfaces, Version=8.1.0.0, Culture=neutral, PublicKeyToken=null","ModelResolver":{},"InternalFrameworkStateDoNotUse":null,"SchemaName":"Dictionary.Translation.LangContentPair","KifMajorVersion":1,"KifMinorVersion":0,"KifMinorVersion2":0}]No translation found.Your Recent SearchesWords you've searched will appear here- People also askWhat does well order mean in math?What does well order mean in math?Well-order. In mathematics, a well-order (or well-ordering or well-order relation) on a set S is a total order 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 well-order relation is then called a well-ordered set.en.wikipedia.org/wiki/Well-orderSearch for: What does well order mean in math?Is a totally ordered set well ordered?Is a totally ordered set well ordered?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.mathworld.wolfram.com/WellOrderedSet.htmlSearch for: Is a totally ordered set well ordered?What is the least element of a well-ordered set?What is the least element of a well-ordered set?Every non-empty well-ordered set has a least element. Every element s of a well-ordered set, except a possible greatest element, has a unique successor (next element), namely the least element of the subset of all elements greater than s.en.wikipedia.org/wiki/Well-orderSearch for: What is the least element of a well-ordered set?What is the successor of a well-ordered set?What is the successor of a well-ordered set?Every element s of a well-ordered set, except a possible greatest element, has a unique successor (next element), namely the least element of the subset of all elements greater than s. There may be elements besides the least element which have no predecessor (see § Natural numbers below for an example).en.wikipedia.org/wiki/Well-orderSearch for: What is the successor of a well-ordered set?
- Properly or carefully organizedWell-ordered Definition. Properly or carefully organized. Having a precise arrangement. (mathematics, not comparable) Having a well-order. Simple past tense and past participle of well-order.www.yourdictionary.com/well-ordered
- https://www.merriam-webster.com/dictionary/well-ordered
Web1. : having an orderly procedure or arrangement. a well-ordered household. 2. : partially ordered with every subset containing a first element and exactly one of the relationships "greater than," "less than," or "equal to" holding for any given pair of elements. well …
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- https://www.thefreedictionary.com/well-ordered
- (Logic) logic maths (of a relation) having the property that every nonempty subset of its field …
- (Mathematics) logic maths (of a relation) having the property that every nonempty subset of …
- https://www.thesaurus.com/browse/well-ordered
WebSee definition of well-ordered on Dictionary.com as in businesslike as in systematic as in tidy synonyms for well-ordered Compare Synonyms diligent disciplined earnest …
- https://www.yourdictionary.com/well-ordered
WebWell-ordered Definition welôrdərd Meanings Sentences Definition Source Adjective Verb Filter adjective Properly or carefully organized. Webster's New World Having a precise …
- https://en.wikipedia.org/wiki/Well-order
WebIn mathematics, a well-order on a set S is a total order on S with the property that every non-empty subset of S has a least element in this ordering. The set S together with …
well-ordered | Definition of well-ordered in English at ...
https://advancedictionary.com/definition/well-orderedWeb(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, …
- https://www.collinsdictionary.com/us/dictionary/english/well-ordered-set
Webwell-ordered setin American English. noun. Math. a totally ordered setin which every nonemptysubsethas a smallest elementwith the propertythat there is no element in the …
- https://en.wikipedia.org/wiki/Well-ordering_principle
WebIn mathematics, the well-ordering principle states that every non-empty set of positive integers contains a least element. [1] In other words, the set of positive integers is well …
- https://mathworld.wolfram.com/WellOrderedSet.html
Web2 days ago · 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. …
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