Convex geometry information

In mathematics, convex geometry is the branch of geometry studying convex sets, mainly in Euclidean space. Convex sets occur naturally in many areas:...

In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it. The convex hull may be defined...

Gromov-hyperbolic groups, and right angled Artin groups. Convex geometry investigates convex shapes in the Euclidean space and its more abstract analogues...

In geometry, a convex polygon is a polygon that is the boundary of a convex set. This means that the line segment between two points of the polygon is...

In geometry, a subset of a Euclidean space, or more generally an affine space over the reals, is convex if, given any two points in the subset, the subset...

Ziegler on the subject, as well as in many other texts in discrete geometry, convex polytopes are often simply called "polytopes". Grünbaum points out...

In geometry, a convex curve is a plane curve that has a supporting line through each of its points. There are many other equivalent definitions of these...

Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry. Some purely geometrical...

in the field of convex geometry. His first published article studied the combinatorial structures arising from intersections of convex polyhedra.[P85]...

construct convex hulls of various objects have a broad range of applications in mathematics and computer science. In computational geometry, numerous...

M. Gruber, Convex and discrete geometry, Springer-Verlag, New York, 2007. P. M. Gruber, J. M. Wills (editors), Handbook of convex geometry. Vol. A. B...

Discrete geometry has a large overlap with convex geometry and computational geometry, and is closely related to subjects such as finite geometry, combinatorial...

geometry Constructive solid geometry Contact geometry Convex geometry Descriptive geometry Differential geometry Digital geometry Discrete geometry Distance...

In convex geometry and vector algebra, a convex combination is a linear combination of points (which can be vectors, scalars, or more generally points...

Polygons", Discrete & Computational Geometry, 35 (2): 223–240, doi:10.1007/s00454-005-1206-y. Schneider, Rolf (1993), Convex bodies: the Brunn-Minkowski theory...

(disambiguation) Cone (geometry) Cone (topology) Farkas' lemma Bipolar theorem Ordered vector space Boyd, Stephen; Vandenberghe, Lieven (2004-03-08). Convex Optimization...

In geometry, the tangent cone is a generalization of the notion of the tangent space to a manifold to the case of certain spaces with singularities. In...

mathematician known for his contributions to geometry and to optimization theory. Fenchel established the basic results of convex analysis and nonlinear optimization...

discrete geometry. It includes a number of subareas such as polyhedral combinatorics (the study of faces of convex polyhedra), convex geometry (the study...

affine geometry Conical hull, in convex geometry Convex hull, in convex geometry Carathéodory's theorem (convex hull) Holomorphically convex hull, in...

corners or vertices. A convex polyhedron is a polyhedron that bounds a convex set. Every convex polyhedron can be constructed as the convex hull of its vertices...

problems in mathematical programming can be formulated as problems on convex sets or convex bodies. Six kinds of problems are particularly important:: Sec.2 ...

polytope, which creates a powerful connection of the subject with convex geometry. Familiar examples of toric varieties are affine space, projective...