Convex cone

id: convex-cone-180-3450869
title: Convex cone
text: In linear algebra, a cone—sometimes called a linear cone for distinguishing it from other sorts of cones—is a subset of a vector space that is closed under positive scalar multiplication; that is, C is a cone if x ∈ C implies s x ∈ C for every positive scalar s. A cone need not be convex, or even look like a cone in Euclidean space. When the scalars are real numbers, or belong to an ordered field, one generally calls a cone a subset of a vector space that is closed under multiplication by a posi
brand slug: wiki
category slug: encyclopedia
description: Mathematical set closed under positive linear combinations
original url: https://en.wikipedia.org/wiki/Convex_cone
date created: 2005-12-29T13:56:39Z
date modified: 2024-09-05T06:02:20Z
main entity: {"identifier":"Q2256541","url":"https://www.wikidata.org/entity/Q2256541"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/d/d1/Convex_cone_illust.svg","width":302,"height":282}
fields total: 13
integrity: 16

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