About: Hyperinteger

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In nonstandard analysis, a hyperinteger n is a hyperreal number that is equal to its own integer part. A hyperinteger may be either finite or infinite. A finite hyperinteger is an ordinary integer. An example of an infinite hyperinteger is given by the class of the sequence (1, 2, 3, ...) in the ultrapower construction of the hyperreals.

Attributes	Values
rdfs:label	Hyperganze Zahl (de) Hyperinteger (en) 초정수 (ko) 超整数 (ja)
rdfs:comment	In der Nichtstandardanalysis ist eine hyperganze Zahl eine hyperreelle Zahl, die ihrem ganzzahligen Anteil gleicht. Eine hyperganze Zahl kann sowohl endlich als auch unendlich sein. (de) In nonstandard analysis, a hyperinteger n is a hyperreal number that is equal to its own integer part. A hyperinteger may be either finite or infinite. A finite hyperinteger is an ordinary integer. An example of an infinite hyperinteger is given by the class of the sequence (1, 2, 3, ...) in the ultrapower construction of the hyperreals. (en) 超準解析における超整数（ちょうせいすう、英: hyperinteger; 超準整数）は、その整数部分が自身に等しい超実数（超準実数）を言う。超整数には、通常の整数である有限超整数のほかに無限大超整数も含まれる。無限大超整数の例は、整数列 (1, 2, 3, …) が属する（超実数の超冪構成の意味での）同値類をとればよい。 (ja)
dcterms:subject	Nonstandard analysis Calculus Infinity
Wikipage page ID	19327282 (xsd:integer)
Wikipage revision ID	1074968766 (xsd:integer)
Link from a Wikipage to another Wikipage	Elementary Calculus: An Infinitesimal Approach Howard Jerome Keisler Internal set Function (mathematics) Nonstandard analysis Skolem Non-standard model of arithmetic Nonstandard analysis Hyperreal number Calculus Infinity Transfer principle Infinitesimal Integer Real number Image (mathematics) Infinite sequence Integer part Ultrapower
Link from a Wikipage to an external page	http://www.math.wisc.edu/~keisler/calc.html
sameAs	Hyperinteger Hyperinteger Hyperinteger Hyperinteger Hyperinteger Hyperinteger Hyperinteger
dbp:wikiPageUsesTemplate	dbt:Short_description dbt:Infinitesimal_navbox dbt:Number_systems
has abstract	In der Nichtstandardanalysis ist eine hyperganze Zahl eine hyperreelle Zahl, die ihrem ganzzahligen Anteil gleicht. Eine hyperganze Zahl kann sowohl endlich als auch unendlich sein. (de) In nonstandard analysis, a hyperinteger n is a hyperreal number that is equal to its own integer part. A hyperinteger may be either finite or infinite. A finite hyperinteger is an ordinary integer. An example of an infinite hyperinteger is given by the class of the sequence (1, 2, 3, ...) in the ultrapower construction of the hyperreals. (en) 超準解析における超整数（ちょうせいすう、英: hyperinteger; 超準整数）は、その整数部分が自身に等しい超実数（超準実数）を言う。超整数には、通常の整数である有限超整数のほかに無限大超整数も含まれる。無限大超整数の例は、整数列 (1, 2, 3, …) が属する（超実数の超冪構成の意味での）同値類をとればよい。 (ja)
gold:hypernym	Number
prov:wasDerivedFrom	wikipedia-en:Hyperinteger?oldid=1074968766&ns=0
page length (characters) of wiki page	2310 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Hyperinteger
is Link from a Wikipage to another Wikipage of	List of mathematical logic topics Quotient ring Construction of the real numbers Overspill Extreme value theorem Nonstandard analysis Hyperreal number Transfer principle Hyperintegers Integer Nonstandard integer Nonstandard calculus Hypernatural Hypernatural number N Z
is Wikipage redirect of	Hyperintegers Hypernatural Hypernatural number N Z
is foaf:primaryTopic of	wikipedia-en:Hyperinteger

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