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A class formed by sets in R^n which have essentially the same structure, regardless of size, shape and dimension. The "essential structure" is what a set keeps when it is ...

A curve which may pass through any region of three-dimensional space, as contrasted to a plane curve which must lie in a single plane. Von Staudt (1847) classified space ...

The volume of a solid body is the amount of "space" it occupies. Volume has units of length cubed (i.e., cm^3, m^3, in^3, etc.) For example, the volume of a box (cuboid) of ...

A statistical distribution having two separated peaks.

Each centered convex body of sufficiently high dimension has an "almost spherical" k-dimensional central section.

A one-dimensional geometric object such as a pencil or line segment range.

A sphere which acts as a model of a spherical (or ellipsoidal) celestial body, especially the Earth, and on which the outlines of continents, oceans, etc. are drawn.

A polynomial function of the elements of a vector x can be uniquely decomposed into a sum of harmonic polynomials times powers of |x|.

A spherical image of a curve. The most common indicatrix is Dupin's indicatrix.

A simple way to enumerate some types of groups due to J. H. Conway (Zwillinger 1995).