Definitions for null set
null set

Princeton's WordNetRate this definition:0.0 / 0 votes

1. null setnoun

   a set that is empty; a set with no members

WiktionaryRate this definition:0.0 / 0 votes

1. null setnoun

   negligible set (in measure theory, a set which is negligible for the purposes of the measure in question)

2. null setnoun

   A less common name for the empty set.

WikipediaRate this definition:0.0 / 0 votes

1. Null set

   In mathematical analysis, a null set N ⊂ R {\displaystyle N\subset \mathbb {R} } is a measurable set that has measure zero. This can be characterized as a set that can be covered by a countable union of intervals of arbitrarily small total length. The notion of null set should not be confused with the empty set as defined in set theory. Although the empty set has Lebesgue measure zero, there are also non-empty sets which are null. For example, any non-empty countable set of real numbers has Lebesgue measure zero and therefore is null. More generally, on a given measure space M = ( X , Σ , μ ) {\displaystyle M=(X,\Sigma ,\mu )} a null set is a set S ∈ Σ {\displaystyle S\in \Sigma } such that μ ( S ) = 0 {\displaystyle \mu (S)=0} .

ChatGPTRate this definition:0.0 / 0 votes

1. null set

   A null set, also known as an empty set, is a set that contains no elements or members. In other words, it is a set with zero elements. Noted as {} or symbol ∅. It is a fundamental concept in set theory and in fields of mathematics that use it.

WikidataRate this definition:0.0 / 0 votes

1. 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. More generally, whenever an ideal is taken as understood, then a null set is any element of that ideal. The remainder of this article discusses the measure-theoretic notion.

Matched Categories

1. • Set

How to pronounce null set?

1. Alex

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How to say null set in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of null set in Chaldean Numerology is: 2

2. Pythagorean Numerology

   The numerical value of null set in Pythagorean Numerology is: 4

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=null set
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Null_Set
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Null_Set
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=null set