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词汇 real line
释义

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.

    〔数〕实线

    Example sentencesExamples
    • 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.

Definition of real line in US English:

real line

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

    〔数〕实线

    Example sentencesExamples
    • Notice that the formal definition of a limit implicitly assumes that the real line is continuous.
    • 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.
    • For example, two levels of infinitesimal numbers are explored, partly to show that there is no single ‘true’ conception of the real line.
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