About: Order unit

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An order unit is an element of an ordered vector space which can be used to bound all elements from above. In this way (as seen in the first below) the order unit generalizes the unit element in the reals. According to H. H. Schaefer, "most of the ordered vector spaces occurring in analysis do not have order units."

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  • An order unit is an element of an ordered vector space which can be used to bound all elements from above. In this way (as seen in the first below) the order unit generalizes the unit element in the reals. According to H. H. Schaefer, "most of the ordered vector spaces occurring in analysis do not have order units." (en)
  • 数学において順序単位(じゅんじょたんい、英: order unit)とは、の各元を上から評価するために用いられる元である。したがって(後述の例で分かるように)順序単位は実数の単位元を一般化するものである。 (ja)
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  • An order unit is an element of an ordered vector space which can be used to bound all elements from above. In this way (as seen in the first below) the order unit generalizes the unit element in the reals. According to H. H. Schaefer, "most of the ordered vector spaces occurring in analysis do not have order units." (en)
  • 数学において順序単位(じゅんじょたんい、英: order unit)とは、の各元を上から評価するために用いられる元である。したがって(後述の例で分かるように)順序単位は実数の単位元を一般化するものである。 (ja)
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  • 順序単位 (ja)
  • Order unit (en)
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