| dbo: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) |
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http://www.math.wisc.edu/~keisler/calc.html |
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dbr:Elementary_Calculus:_An_Infinitesimal_Approach dbr:Howard_Jerome_Keisler dbr:Internal_set dbr:Function_(mathematics) dbc:Nonstandard_analysis dbr:Skolem dbr:Non-standard_model_of_arithmetic dbr:Nonstandard_analysis dbr:Hyperreal_number dbc:Calculus dbc:Infinity dbr:Transfer_principle dbr:Infinitesimal dbr:Integer dbr:Real_number dbr:Image_(mathematics) dbr:Infinite_sequence dbr:Integer_part dbr:Ultrapower |
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dbc:Nonstandard_analysis dbc:Calculus dbc:Infinity |
| gold:hypernym |
dbr:Number |
| 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) |
| rdfs:label |
Hyperganze Zahl (de) Hyperinteger (en) 초정수 (ko) 超整数 (ja) |
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