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:
“Uneducated people are unfortunate in that they do grasp complex issues, educated people, on the other hand, often do not understand simplicity, which is a far greater misfortune.”
—Franz Grillparzer (1791–1872)
“We are apt to say that a foreign policy is successful only when the country, or at any rate the governing class, is united behind it. In reality, every line of policy is repudiated by a section, often by an influential section, of the country concerned. A foreign minister who waited until everyone agreed with him would have no foreign policy at all.”
—A.J.P. (Alan John Percivale)