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From the point of view of coordinate charts, the notion of tangent space is quite simple. The tangent space consists of all directions, or velocities, a particle can take. In ...

The MacBeath inconic of a triangle is the inconic with parameters x:y:z=a^2cosA:b^2cosB:c^2cosC. (1) Its foci are the circumcenter O and the orthocenter H, giving the center ...

The identity element of an additive group G, usually denoted 0. In the additive group of vectors, the additive identity is the zero vector 0, in the additive group of ...

The number of elements of a group in a given conjugacy class.

The canonical generator of the nonvanishing homology group on a topological manifold.

An extension A subset B of a group, ring, module, field, etc., such that A!=B.

A group of four elements, also called a quadruplet or tetrad.

A group of five elements, also called a quintuplet or pentad.

A group of five elements, also called a quintuple or pentad.

The centroid is center of mass of a two-dimensional planar lamina or a three-dimensional solid. The mass of a lamina with surface density function sigma(x,y) is ...