star-shaped set

star-shaped set

[′stär ‚shāpt ‚set]
(mathematics)
With respect to a point P of a euclidean space or vector space, a set such that if Q is a member of the set, then so is any point on the line segment PQ.
References in periodicals archive ?
Let K [subset] [R.sup.n] denote a star body, that is, a nonempty and compact star-shaped set being equal to the closure of its interior and having the origin [0.sub.n] in its interior.
We say that a subset [omega] [subset] [R.sup.n] is a symmetric star-shaped set if it is star-shaped and the function R satisfies
In the following, we will suppose that the origin of the coordinate system, p, is the barycenter of an admissible source set [omega] [subset] [OMEGA], in which we suppose symmetric star-shaped set, whose boundary, [partial derivative][omega], is parametrized by a function R.
In this experiment we considered the domain [OMEGA] as the interior of the ellipse parametrized by R(t) = (cos(t), 0.5 sin(t)), t [member of] [0,2[pi]], and the support of the source as the star-shaped set [omega], with barycenter (0.3, -0.1), and boundary parametrized by r(t) = (0.3 + (0.2 0.1 cos(7t)) cos(t), -0.1 + (0.2 - 0.1 cos(7t)) sin(t)), t [member of] [0,2[pi]], as shown in Figure 1.
In this experiment, the domain Q was considered as the interior of unitary circle centered at the origin and the support of source [omega] as the star-shaped set, with barycenter ([x.sub.c], [y.sub.c]) = (0.4, -0.2), whose boundary is parametrized by r(t) = 0.3 - 0.15 cos(3t), as shown in Figure 3.
They also found a double-edged hunting knife, metal knuckles, nunchaku - two hard plastic sticks held together by a chain - and a shuriken, a star-shaped set of blades designed to be thrown, police said.
In addition, they also discovered what was described as a double-edged hunting knife, metal knuckles, nunchaku - two hard plastic sticks held together by a chain - and a shuriken, a star-shaped set of blades designed to be thrown, police said.