Complex Line

In mathematics, a complex line is a one-dimensional affine subspace of a vector space over the complex numbers. A common point of confusion is that while a complex line has dimension one over C (hence the term "line"), it has dimension two over the real numbers R, and is topologically equivalent to a real plane, not a real line.


Famous quotes containing the words complex and/or line:

    Instead of seeing society as a collection of clearly defined “interest groups,” society must be reconceptualized as a complex network of groups of interacting individuals whose membership and communication patterns are seldom confined to one such group alone.
    Diana Crane (b. 1933)

    Every age has its temptations, its weaknesses, its dangers. Ours is in the line of the snobbish and the sordid.
    Rutherford Birchard Hayes (1822–1893)