Any two-dimensional curve traced by the intersection of a right circular cone with a plane. If the plane is perpendicular to the cone's axis, the resulting curve is a circle. Intersections at other angles result in ellipses, parabolas, and...

In geometry, a coordinate system in which any point in three-dimensional space is specified by its angle with respect to a polar axis and angle of rotation with respect to a prime meridian on a sphere of a given radius. In spherical coordi...

A correspondence, also called a one-to-one correspondence or a bijection, is a function from a set X to a set Y that has the property that for any element y in Y there is a unique element x in X such that f(x) = y. Most mathematical defini...

Cramer's rule gives a formula for the entries of a column vector x that satisfies Ax = b, where A is a n x n matrix with nonzero determinant and b is a column vector with n entries. A column vector in n x 1 matrix. Let Aj(b) denote the n x...

In mathematics, an abstract term used to describe the path of a continuously moving point (&see; continuity). Such a path is usually generated by an equation. The word can also apply to a straight line or to a series of line segments linke...

control theory as it is applied to complex systems. Cybernetics is associated with models in which a monitor compares what is happening to a system at various sampling times with some standard of what should be happening, and a controller ...

A cylinder is a three-dimensional geometric figure generated by a straight line moving parallel to a fixed straight line along a plane curve. It is a body of roller-like form. It can also be thought of as a solid bounded by two parallel pl...