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The convex hull of a simple polygon is divided by the polygon into pieces, one of which is the polygon itself and the rest are pockets bounded by a piece of the polygon boundary and a single hull edge. Although many algorithms have been published for the problem of constructing the convex hull of a simple polygon, nearly half of them are ...
In geometry, the convex hull, convex envelope or convex closure [1] of a shape is the smallest convex set that contains it. The convex hull may be defined either as the intersection of all convex sets containing a given subset of a Euclidean space, or equivalently as the set of all convex combinations of points in the subset.
Convex analysis includes not only the study of convex subsets of Euclidean spaces but also the study of convex functions on abstract spaces. Convex analysis is the branch of mathematics devoted to the study of properties of convex functions and convex sets, often with applications in convex minimization, a subdomain of optimization theory.
Four intersections of a line and a convex curve (here, a pentagon), top–bottom: the empty set, one point, two points, and an interval. For a convex curve, every line in the plane intersects the curve in one of four ways: its intersection can be the empty set, a single point, a pair of points, or an interval.
Complex Post-Traumatic Stress Disorder (CPTSD) Complex PTSD is a form of PTSD that can develop in people who experience ongoing or long-term trauma or multiple traumas. This may include ...
View Recipe. Sausage and veggies make the perfect weeknight dinner. If you have leftovers, try adding the chicken sausage, peppers and onions to a roll with grainy mustard for a flavorful sandwich.
These bite-size dark chocolate almond clusters blend dark chocolate with nutty almonds for an easy snack or dessert. Stick to the three ingredients we list here, or add your own twist by including ...
Convex regular polygons can also form plane tilings that are not edge-to-edge. Such tilings can be considered edge-to-edge as nonregular polygons with adjacent colinear edges. There are seven families of isogonal figures , each family having a real-valued parameter determining the overlap between sides of adjacent tiles or the ratio between the ...