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单词 Convex
释义

Convex

A Set in Euclidean Space is convex if it contains all the Line Segmentsconnecting any pair of its points. If the Set does not contain all the Line Segments, it iscalled Concave.

See also Connected Set, Convex Function, Convex Hull, Convex Optimization Theory, ConvexPolygon, Delaunay Triangulation, Minkowski Convex Body Theorem, Simply Connected


References

Croft, H. T.; Falconer, K. J.; and Guy, R. K. ``Convexity.'' Ch. A in Unsolved Problems in Geometry. New York: Springer-Verlag, pp. 6-47, 1994.


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