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单词 Nonnegative combination
释义

Nonnegative combination

英语百科

Conical combination

In the plane, the conical hull of a circle passing through the origin is the open half-plane defined by the tangent line to the circle at the origin plus the origin.

Given a finite number of vectors x_1, x_2, \dots, x_n\, in a real vector space, a conical combination, conical sum, or weighted sum of these vectors is a vector of the form

where the real numbers \alpha_i\, satisfy \alpha_i\ge 0.

The name derives from the fact that a conical sum of vectors defines a cone (possibly in a lower-dimensional subspace).

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更新时间:2025/6/19 8:45:34