Talk:Convex cone

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Mathematics rating:	B Class	Mid Priority	Field: Geometry
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Arcfrk 02:49, 24 May 2007 (UTC)

[edit] Merge with dual cone and polar cone?

See Talk:Dual cone and polar cone. Oleg Alexandrov (talk) 03:54, 19 June 2007 (UTC)

Section on Convex Cone is lacking very much material. There is enough material in Dual Cone to warrant a separate entry. Dual cone should not be merged simply to make up for missing material on Convex Cone. —The preceding unsigned comment was added by Dattorro (talk • contribs).

[edit] Section Convex cones are linear cones should read:

If C is a convex cone, then for any positive scalar α and any x in C the vector αx = (α/2)x + (α/2)x is in C. It follows that a linear cone is a special case of a convex cone C.

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Explanation: Since the scalar λ for the linear cone is arbitrary and the scalars α = β = λ/2 for the convex cone are special:

αx + βx= (λ/2)x + (λ/2)x = λx

[edit] Check: A blunt convex cone is necessarily salient?

I am not sure about this statement "A blunt convex cone is necessarily salient". It seems to be incompatible with this other source [1]. I am not an expert, but I think that maybe the right sentence is the opposite: "a salient cone is necessarily blunt", could someone check that?