| dbo:abstract |
In mathematics, a subset C of a real or complex vector space is said to be absolutely convex or disked if it is convex and balanced (some people use the term "circled" instead of "balanced"), in which case it is called a disk. The disked hull or the absolute convex hull of a set is the intersection of all disks containing that set. (en) Absolutkonvexe Mengen spielen eine wichtige Rolle in der Theorie der lokalkonvexen Räume, da sie in natürlicher Weise zu Halbnormen führen. (de) En matemáticas, un subconjunto C de un espacio vectorial real o complejo se dice que es absolutamente convexo o en forma de disco si es convexo y (algunos utilizan el término circular en lugar de equilibrado), en cuyo caso se llama disco.La envoltura de disco o enovoltura absolutamente convexa de un conjunto es la intersección de todos los discos que contienen ese conjunto. (es) 数学の分野において、実あるいは複素ベクトル空間内の集合 C が凸かつ均衡であるとき、その集合は絶対凸（ぜったいとつ、英: absolutely convex）と呼ばれる。 (ja) 실수나 복소수 벡터 공간의 집합 C 가 볼록이고 원판이라고 불리는 균형 (원으로 싸임)이면 절대 볼록(absolutly convex) 또는 디스크(disked)라고 불린다. (ko) Een deelverzameling van een reële- of complexe vectorruimte noemt men absoluut convex, als zowel convex als evenwichtig is. Equivalent geldt dat absoluut convex is, als voor alle scalairen en met en alle ook is. (nl) Um subconjunto de um espaço vectorial diz-se absolutamente convexo se for convexo e equilibrado. (pt) 一个实或复向量空间上的集合C，如果它是凸集且是平衡集，则被称为是绝对凸的(英語：absolutely convex)或圆盘化的(英語：disked)，在这种情形下C被称为圆盘(英語：Disk)。 (zh) |
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| rdfs:comment |
In mathematics, a subset C of a real or complex vector space is said to be absolutely convex or disked if it is convex and balanced (some people use the term "circled" instead of "balanced"), in which case it is called a disk. The disked hull or the absolute convex hull of a set is the intersection of all disks containing that set. (en) Absolutkonvexe Mengen spielen eine wichtige Rolle in der Theorie der lokalkonvexen Räume, da sie in natürlicher Weise zu Halbnormen führen. (de) En matemáticas, un subconjunto C de un espacio vectorial real o complejo se dice que es absolutamente convexo o en forma de disco si es convexo y (algunos utilizan el término circular en lugar de equilibrado), en cuyo caso se llama disco.La envoltura de disco o enovoltura absolutamente convexa de un conjunto es la intersección de todos los discos que contienen ese conjunto. (es) 数学の分野において、実あるいは複素ベクトル空間内の集合 C が凸かつ均衡であるとき、その集合は絶対凸（ぜったいとつ、英: absolutely convex）と呼ばれる。 (ja) 실수나 복소수 벡터 공간의 집합 C 가 볼록이고 원판이라고 불리는 균형 (원으로 싸임)이면 절대 볼록(absolutly convex) 또는 디스크(disked)라고 불린다. (ko) Een deelverzameling van een reële- of complexe vectorruimte noemt men absoluut convex, als zowel convex als evenwichtig is. Equivalent geldt dat absoluut convex is, als voor alle scalairen en met en alle ook is. (nl) Um subconjunto de um espaço vectorial diz-se absolutamente convexo se for convexo e equilibrado. (pt) 一个实或复向量空间上的集合C，如果它是凸集且是平衡集，则被称为是绝对凸的(英語：absolutely convex)或圆盘化的(英語：disked)，在这种情形下C被称为圆盘(英語：Disk)。 (zh) |
| rdfs:label |
Absolutkonvexe Menge (de) Absolutely convex set (en) Conjunto absolutamente convexo (es) 絶対凸集合 (ja) 절대 볼록 집합 (ko) Absoluut convexe verzameling (nl) Conjunto absolutamente convexo (pt) 绝对凸集 (zh) |
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