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A notional line in which every real number is conceived of as represented by a point.
‘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.’
‘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.’
‘Most often the inputs and outputs are sets of numbers, such as the real line.’
‘He also defined closed subsets of the real line as subsets containing their first derived set.’