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单词 Fourier analysis
释义

Definition of Fourier analysis in English:

Fourier analysis

noun-rɪeɪˈfʊrɪə
Mathematics
  • The analysis of a complex waveform expressed as a series of sinusoidal functions, the frequencies of which form a harmonic series.

    〔数〕傅里叶分析

    Example sentencesExamples
    • The nonclassified areas of focus were pure mathematics, applied mathematics, statistics, logistics, applied areas of analysis such as Fourier analysis, and computation.
    • His theorem, now called the Riesz - Fischer theorem, which he proved in 1907, is fundamental in the Fourier analysis of Hilbert space.
    • They used three dimensional Fourier analysis and periodic boundary conditions in this important study.
    • He did considerable work developing new mathematical tools particularly in the area of Fourier analysis and generalised functions.
    • Their work uses three dimensional Fourier analysis and periodic boundary conditions.

Definition of Fourier analysis in US English:

Fourier analysis

noun
Mathematics
  • The analysis of a complex waveform expressed as a series of sinusoidal functions, the frequencies of which form a harmonic series.

    〔数〕傅里叶分析

    Example sentencesExamples
    • The nonclassified areas of focus were pure mathematics, applied mathematics, statistics, logistics, applied areas of analysis such as Fourier analysis, and computation.
    • He did considerable work developing new mathematical tools particularly in the area of Fourier analysis and generalised functions.
    • His theorem, now called the Riesz - Fischer theorem, which he proved in 1907, is fundamental in the Fourier analysis of Hilbert space.
    • Their work uses three dimensional Fourier analysis and periodic boundary conditions.
    • They used three dimensional Fourier analysis and periodic boundary conditions in this important study.
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更新时间:2025/8/5 0:25:19