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In celestial mechanics, the fixed path a planet traces as it moves around the sun is called an orbit. When a group G acts on a set X (this process is called a group action), ...

A gyrobicupola is a bicupola in which the bases are in opposite orientations.

The integral associated with the Haar measure.

A system of variables which can be written in the form of Hamilton's equations.

Objects which are identical except for a mirror reflection are said to display handedness and to be chiral.

A 100-sided polygon, virtually indistinguishable in appearance from a circle except at very high magnification.

Given a Euclidean n-space, H_n=n+1.

Two graphs are homeomorphic if there is a graph isomorphism from some graph subdivision of one to some subdivision of the other.

Related to one another by a homomorphism.

Determined the possible values of r and n for which there is an identity of the form (x_1^2+...+x_r^2)(y_1^2+...+y_r^2)=z_1^2+...+z_n^2.