null set

collocation in English

meaningsofnullandset

These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withset.
null
adjective
uk
/nʌl/us
/nʌl/
having no ...
See more atnull
set
noun
uk
/set/us
/set/
a group of similar things that belong together in ...
See more atset

(Definition ofnullandsetfrom theCambridge English Dictionary© Cambridge University Press)

Examplesofnull set

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
Thenullsetrepresents in virtue of its property of lacking members or of being zero-membered.
From theCambridge English Corpus
We further define 0, which is thenullset.
From theCambridge English Corpus
Two functions f and g are equal almost everywhere (a. e.) if they differ on anullset.
From theCambridge English Corpus
Consider the way it is with the membership of thenullset.
From theCambridge English Corpus
If sets can bear properties, and these do not reduce to properties of their members, this should reduce one's resistance to the following claim: thenullsetisn't sheer nothingness.
From theCambridge English Corpus
More generally, whenever an ideal is taken as understood, then anullsetis any element of that ideal.
From
Wikipedia
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Any measurable subset of anullsetis itself anullset.
From
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It is assumed that the set is not anullset, and is endowed with the conditional measure.
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In set theory, thenullsetis the set with zero elements; and in measure theory, anullsetis a set with zero measure.
From
Wikipedia
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In thenullset, this is always false.
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The set of non-normal numbers, though small in the sense of being anullset, is large in the sense of being uncountable.
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Wikipedia
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The unit set has thenullsetas its only member.
From
Wikipedia
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A negligible set need not be measurable, but every measurable negligible set is automatically anullset.
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A subset of anullsetis called a "negligible set".
From
Wikipedia
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In measure theory, any set of measure 0 is called anullset(or simply a measure-zero set).
From
Wikipedia
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Some references require anullsetto be measurable; however, subsets of null sets are still negligible for measure-theoretic purposes.
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A standard probability space may contain anullsetof any cardinality, thus, it need not be countably separated.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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