空集- Translation into English - examples Chinese - Reverso ...

故此，空集是集合和函数的范畴的唯一初始对象。

As a result, the empty set is the unique initial object of the category of sets and functions. History Favourites Advertising ReversoforWindowsIt'sfree Downloadourfreeapp Advertising Advertising Register Login Chinese Arabic German English Spanish French Hebrew Italian Japanese Dutch Polish Portuguese Romanian Russian Turkish Chinese English Synonyms Arabic German English Spanish French Hebrew Italian Japanese Dutch Polish Portuguese Romanian Russian Turkish Chinese Theseexamplesmaycontainrudewordsbasedonyoursearch. Theseexamplesmaycontaincolloquialwordsbasedonyoursearch. Translationof"空集"inEnglish Noun emptyset null receivers all-glassvacuum Othertranslations Suggestions 空间分集 当前XPath表达式有效，但返回了空集。

ThecurrentXPathexpressionisvalidbutreturnstheemptyset. 所以空集是它的唯一划分。

Therefore,theemptysetistheonlypartitionofitself. 上述某些子集并非每个人都会用到，例如，全集、空集或者某些随机集合 someofthesesubsetsarenotusedbyanyone,e.g.,thefullset,thenullset,orjustsomerandomsubset 空集，Null集，直径［empty；］ EmptySet,NullSet,Diameter[empty;] 我们可以扩展这个模式以包括n＝0，如果我们把这个情况诠释为空集公理的话。

Wecanextendthisschematoincluden=0ifweinterpretthatcaseastheaxiomofemptyset. 故此，空集是集合和函数的范畴的唯一初始对象。

Asaresult,theemptysetistheuniqueinitialobjectofthecategoryofsetsandfunctions. 莱布尼茨阐明了我们现在叫做合取、析取、否定、同一、集合包含和空集的首要性质。

Leibnizenunciatedtheprincipalpropertiesofwhatwenowcallconjunction,disjunction,negation,identity,setinclusion,andtheemptyset. 但是人们通常单独使用空集公理和配对公理，并把它作为一个定理模式来证明。

Normally,however,oneusestheaxiomsofemptysetandpairingseparately,andthenprovesthisasatheoremschema. A和B是不相交的，如果它们的交集是空集。

AandBaredisjointiftheirintersectionistheemptyset. 一个常见的方法是定义数字0空集｛｝，和后继数S（x）x∪｛x｝。

Acommonapproachistodefinethenumber0tobetheemptyset{},andthesuccessorS(x)tobex∪{x}. 与球体不同的是，即使是一个大球面也可能是一个空集。

Unlikeaball,evenalargespheremaybeanemptyset. 最小的元素0是空集而最大元素1是集合S自身。

Thesmallestelement0istheemptysetandthelargestelement1isthesetSitself. 在任何拓扑空间X中，空集和整个空间X都是闭开集。

InanytopologicalspaceX,theemptysetandthewholespaceXarebothclopen. 在拓扑学中，带有密着拓扑（trivialtopology）的拓扑空间是其中仅有的开集是空集和整个空间的空间。

Intopology,atopologicalspacewiththetrivialtopologyisonewheretheonlyopensetsaretheemptysetandtheentirespace. 如果A要么为空集要么为整个空间X，这当然为真，但是还有其他可能。

ThisiscertainlytrueifAiseithertheemptysetortheentirespaceX,buttheremaybeotherpossibilities. 在解析几何中，一条直线与一个平面的交点可能是空集、一个点或一条直线。

Inanalyticgeometry,theintersectionofalineandaplaneinthree-dimensionalspacecanbetheemptyset,apoint,oraline. 在ZF的某些陈述版本中，空集公理实际上在无穷公理中是重复的。

InsomeformulationsofZF,theaxiomofemptysetisactuallyrepeatedintheaxiomofinfinity. Windows防火墙未应用下列规则：%n%n规则信息：%n%tID：%t%1%n%t名称：%t%2%n%n错误信息：%n%t原因：%t%3解析为空集。

WindowsFirewalldidnotapplythefollowingrule:%n%nRuleInformation:%n%tID:%t%1%n%tName:%t%2%n%nErrorInformation:%n%tReason:%t%3resolvedtoanemptyset. JonathanLowe认为，这一概念无疑是数学历史上的里程碑，……；不需要假设其在计算时的有效性要基于其确实表达了某些对象，但在另一方面，我们所知的空集只是它（1）是个集合，（2）没有元素，（3）在没有元素的集合中唯一。

JonathanLowearguesthatwhiletheemptyset:...wasundoubtedlyanimportantlandmarkinthehistoryofmathematics,...weshouldnotassumethatitsutilityincalculationisdependentuponitsactuallydenotingsomeobject.itisalsothecasethat:Allthatweareeverinformedabouttheemptysetisthatit(1)isaset,(2)hasnomembers,and(3)isuniqueamongstsetsinhavingnomembers. 上有小圆圈的空集 EmptySetWithSmallCircleAbove Possiblyinappropriatecontent Unlock Examplesareusedonlytohelpyoutranslatethewordorexpressionsearchedinvariouscontexts.Theyarenotselectedorvalidatedbyusandcancontaininappropriatetermsorideas.Pleasereportexamplestobeeditedornottobedisplayed.Rudeorcolloquialtranslationsareusuallymarkedinredororange. Registertoseemoreexamples It'ssimpleandit'sfree Register Connect Noresultsfoundforthismeaning. Suggestanexample Displaymoreexamples Results:70.Exact:70.Elapsedtime:25ms. Morefeatureswithourfreeapp Voiceandphototranslation,offlinefeatures,synonyms,conjugation,learninggames Suggestanexample 空间分集 Advertising Documents Corporatesolutions Conjugation Synonyms Spellcheck Help&about Wordindex:1-300,301-600,601-900Expressionindex:1-400Phraseindex:1-400 Aboutthecontextualdictionary DownloadtheApp Contact Legalconsiderations Privacysettings TraductionencontexteTraducciónencontextoTraduçãoemcontextoTraduzioneincontestoÜbersetzungimKontextالترجمةفيالسياق文脈に沿った翻訳情境中的译文VertalingincontextתרגוםבהקשרПереводвконтекстеTłumaczeniewkontekścieTraducereîncontextİçeriktercümesi Synonyms Conjugation ReversoCorporate SubtitlesformoviesandTVseries ©2013-2021ReversoTechnologiesInc.Allrightsreserved.