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(Q79674627)
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English
greatest element
an element of S that is greater than or equal to every other element of S
maximum element
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Statements
subclass of
greatest and least elements
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extremity
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operation result
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mathematical object
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maximal element
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defining formula
g
=
G
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a
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s
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l
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m
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P
,
⪯
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⟺
def
g
∈
P
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∀
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g
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{\displaystyle g=Greatest~element(P,\preceq ){\overset {\text{def}}{\iff }}g\in P\land \forall y\in P(y\preceq g)}
1 reference
imported from Wikimedia project
English Wikipedia
in defining formula
P
{\displaystyle P}
symbol represents
ordered set
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⪯
{\displaystyle \preceq }
symbol represents
binary relation
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g
{\displaystyle g}
symbol represents
greatest element
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maintained by WikiProject
WikiProject Mathematics
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opposite of
least element
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different from
supremum
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maximal element
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Identifiers
Gran Enciclopèdia Catalana ID
maxim-0
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Gran Enciclopèdia Catalana ID (former scheme)
0233859
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Sitelinks
Wikipedia
(1 entry)
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zhwiki
最大元
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