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:

    “It’s a complex fate, being an American, and one of the responsibilities it entails is fighting against a superstitious valuation of Europe.”
    —Henry James (1843–1916)

    “There is a line between a definite maybe and an indefinite yes.”
    —Mason Cooley (b. 1927)