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Definition 4

[16X] Let \(CβŠ† ℝ^ n\) be a set; it is called convex if

\[ βˆ€ t∈[0,1],~ ~ βˆ€ x,y∈ C, ~ ~ (tx+(1-t)y)∈ C \]

that is, if the segment connecting each \(x,y∈ C\) is all inclusive in \(C\).

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Authors: "Mennucci , Andrea C. G." .
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  • convex set
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