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A multivariate polynomial (i.e., a polynomial in more than one variable) with all terms having the same degree. For example, x^3+xyz+y^2z+z^3 is a homogeneous polynomial of ...

Related to one another by a homomorphism.

Two lines in hyperbolic geometry which diverge from each other in both directions.

The problem of deciding if two knots in three-space are equivalent such that one can be continuously deformed into another.

A locally finite space is one for which every point of a given space has a neighborhood that meets only finitely many elements of any cover.

If one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in mn ways.

n events are said to be mutually exclusive if the occurrence of any one of them precludes any of the others. Therefore, for events X_1, ..., X_n, the conditional probability ...

One of the two pieces of a double cone (i.e., two cones placed apex to apex).

One of the eight regions of space defined by the eight possible combinations of signs (+/-,+/-,+/-) for x, y, and z.

A cupolarotunda in which the bases are in the same orientation.