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词汇 empty-set
语种 英语、汉语、英汉翻译、汉英翻译
释义 empty set
noun[ C ]
 mathematics specializeduk /ˌemp.ti ˈset/ us /ˌemp.ti ˈset/
a set (= a group of numbers) that contains no elements, represented by the symbol {}空集,空集合(用符号{}表示)
SMART Vocabulary: related words and phrases

Groups and collections of things
age bracket
agglomerate
agglomeration
Aladdin's cave
anthology
array
basket
crop
ensemble
family
feast
glory box
grab bag
package
portfolio
sheaf
sheaves
starter pack
store cupboard
storehouse

Examples of empty set


empty set
Should + be used to distribute a function over an emptyset of solutions, the result, too, should be empty.
If the assignment would cause a conflict with an already-assigned variable, the cache entry contains a conflict set; otherwise, it contains the emptyset.
The idea is to iteratively compute, starting with the emptyset, the intersection of the extensions which are compatible with the information obtained so far.
Computation of this set begins with the emptyset; predicate statements are added to the set as proofs for their inclusion are found.
We emphasise that an empty slice is a valid slice, having no conclusions, and the emptyset of slices is a valid net.
It also lacks a lower bound, because the emptyset is not a decomposition.
Each sensible graph model interprets all the closed unsolvable terms by the emptyset.
The emptyset is not large because an orbit is by definition not empty.
Ignoring representation details for the moment, assume there is some representation of the emptyset.
Though it may be reasonable to interpret the completely undefined set as empty, it seems less intuitive that the emptyset should be considered undefined.
Accordingly, it would be unwise for a political theorist to dismiss the category of "unintentional restrictions of freedom" as an emptyset.
They each simply correspond to a different kind of set (emptyset, singleton set, or set of cardinality 2 or more).
More precisely, when an address becomes unreachable, the set of values associated with it is reset to the emptyset.
Possibly some of the tuples in this form may be discarded because one or more of their parts may be the emptyset.
For a countably based space, choose a countable base containing the emptyset and the whole set.
See all examples of empty 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.
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更新时间:2025/7/18 4:16:19