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Geometry

Page 1

Moment curve

What is the maximum possible number of simplices that sets of points on the moment curve can realize in d dimensions?

Moment curve

How many equal subsets can any volume or measure in three dimensions be partitioned into using the moment curve?

Moment curve

What is the geometric shape of the moment curve in the Euclidean plane?

Orthant

What is the generalization of the first quadrant to n-dimensions and is important in many constrained optimization problems?

Orthant

How many orthants are there in n-dimensional space by independent selections of half-space signs?

Orthant

What is the term used to describe the analogue of a quadrant in the plane or an octant in three dimensions in n-dimensional Euclidean space?

Convex set

What is a convex set in geometry?

Voronoi diagram

What is the dual to a Voronoi diagram?

Voronoi diagram

What is another name for Voronoi cells?

Siegel upper half-space

What is the Siegel upper half-space in mathematics?