Definition of real line in English:

real line

noun

Mathematics
  • A notional line in which every real number is conceived of as represented by a point.

    • ‘As the Fundamental Theorem of Algebra clearly indicates, the complex plane rather than the real line is the proper place for the study of polynomials.’
    • ‘He also defined closed subsets of the real line as subsets containing their first derived set.’
    • ‘Most often the inputs and outputs are sets of numbers, such as the real line.’
    • ‘Notice that the formal definition of a limit implicitly assumes that the real line is continuous.’
    • ‘For example, two levels of infinitesimal numbers are explored, partly to show that there is no single ‘true’ conception of the real line.’