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\section CH2_Definitions Definitions
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\section CH2_Definitions Definitions
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A subset \f$S \in \mathbb{R}^2 \f$ is convex if for any two points `p` and `q`
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A subset \f$S \subseteq \mathbb{R}^2 \f$ is convex if for any two points `p` and `q`
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in the set the line segment with endpoints `p` and `q` is contained in \f$ S \f$.
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in the set the line segment with endpoints `p` and `q` is contained in \f$ S \f$.
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The convex hull of a set \f$ S \f$ is the smallest convex set containing \f$ S \f$.
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The convex hull of a set \f$ S \f$ is the smallest convex set containing \f$ S \f$.
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The convex hull of a set of points `P` is a convex polygon with vertices in `P`.
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The convex hull of a set of points `P` is a convex polygon with vertices in `P`.
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