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词汇 periodic function
释义

Definition of periodic function in English:

periodic function

noun
Mathematics
  • A function returning to the same value at regular intervals.

    〔数〕周期函数

    Example sentencesExamples
    • These turned out to be doubly periodic functions and are called elliptic functions.
    • In particular he had found a continuous periodic function whose trigonometric interpolating polynomials, corresponding to equally spaces mesh points, diverge almost everywhere.
    • His results concern the approximation theory of almost periodic functions.
    • This is where any mathematical function is expressed as the sum of an infinite series of other periodic functions.
    • This has been done by subtracting a periodic function from the data.

Definition of periodic function in US English:

periodic function

nounˌpirēädik ˈfəNGkSH(ə)n
Mathematics
  • A function returning to the same value at regular intervals.

    〔数〕周期函数

    Example sentencesExamples
    • This is where any mathematical function is expressed as the sum of an infinite series of other periodic functions.
    • His results concern the approximation theory of almost periodic functions.
    • This has been done by subtracting a periodic function from the data.
    • These turned out to be doubly periodic functions and are called elliptic functions.
    • In particular he had found a continuous periodic function whose trigonometric interpolating polynomials, corresponding to equally spaces mesh points, diverge almost everywhere.
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