null set

null set
a) negligible set (in measure theory, a set which is negligible for the purposes of the measure in question)
b) A less common name for the empty set.

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  • Null set — In mathematics, a null set is a set that is negligible in some sense. For different applications, the meaning of negligible varies. In measure theory, any set of measure 0 is called a null set (or simply a measure zero set). More generally,… …   Wikipedia

  • null set — noun a set that is empty; a set with no members • Hypernyms: ↑set * * * null set, = empty set. (Cf. ↑empty set) …   Useful english dictionary

  • null set — /nʌl ˈsɛt/ (say nul set) noun a mathematical set having no elements; empty set …  

  • null set — See empty set …   Philosophy dictionary

  • null set — noun (C) technical a mathematical set with no members, usually written < > …   Longman dictionary of contemporary English

  • Null — may refer to: Contents 1 In computing 2 In art 3 In mathematics 4 In science 5 People …   Wikipedia

  • Set theory of the real line — is an area of mathematics concerned with the application of set theory to aspects of the real numbers. For example, one knows that all countable sets of reals are null, i.e. have Lebesgue measure 0; one might therefore ask the least possible size …   Wikipedia

  • null — [nʌl] adjective [only before a noun] 1. STATISTICS a null effect, result etc is one that is zero or nothing 2. LAW another name for null and void: • Their suit also asks the court to declare null the buyer s shareholder rights plan. * * * …   Financial and business terms

  • Null — Null, a. [L. nullus not any, none; ne not + ullus any, a dim. of unus one; cf. F. nul. See {No}, and {One}, and cf. {None}.] 1. Of no legal or binding force or validity; of no efficacy; invalid; void; nugatory; useless. [1913 Webster] Faultily… …   The Collaborative International Dictionary of English

  • null — [nul] adj. [MFr nul < L nullus, not any, none < OL * n(e) oin(o)los, not a one < ne, not (see NO1) + dim. of oinos < IE * oinos: see ONE] 1. without legal force; not binding; invalid: usually in the phrase null and void 2. amounting… …   English World dictionary

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