Y Lanmei, Y Wanquan
Abstract
In this paper, the concepts of γ-cone and strict γ-cone in finite dimensional vector space are introduced. It is proved that the γ-cone is a closed cone, and the strict γ-cone is a open cone. The relationship of γ-cone, strict γ-cone with major cone, strict major cone, and their closure and their interior is studied.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper, the concepts of γ-cone and strict γ-cone in finite dimensional vector space are introduced. It is proved that the γ-cone is a closed cone, and the strict γ-cone is a open cone. The relationship of γ-cone, strict γ-cone with major cone, strict major cone, and their closure and their interior is studied.
Key concepts: Cone (formal languages), Dual cone and polar cone, Mathematics, Closure (psychology), Tangent cone, Space (punctuation), Geometry, Computer science