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A derivative of a complex function, which must satisfy the Cauchy-Riemann equations in order to be complex differentiable.

A function whose range is in the complex numbers is said to be a complex function, or a complex-valued function.

A complex map is a map f:C->C. The following table lists several common types of complex maps. map formula domain complex magnification f(z)=az a in R, a>0 complex rotation ...

A variable that may assume complex values.

A complex vector bundle is a vector bundle pi:E->M whose fiber bundle pi^(-1)(x) is a complex vector space. It is not necessarily a complex manifold, even if its base ...

A complex vector space is a vector space whose field of scalars is the complex numbers. A linear transformation between complex vector spaces is given by a matrix with ...

A group L is a component of H if L is a quasisimple group which is a subnormal subgroup of H.

An n-component of a graph G is a maximal n-connected subgraph.

Let L be a link in R^3 and let there be a disk D in the link complement R^3-L. Then a surface F such that D intersects F exactly in its boundary and its boundary does not ...

A set in R^d is concave if it does not contain all the line segments connecting any pair of its points. If the set does contain all the line segments, it is called convex.