V2EX circulant

Circulant

释义 Definition

(数学)循环的;循环移位不变的。 常用来指循环矩阵(circulant matrix):每一行(或每一列)都是上一行(或上一列)元素按固定方向循环移位得到的矩阵。该词在数学与信号处理、图论中较常见;在日常英语里不常用。

发音 Pronunciation

/skjlnt/

例句 Examples

A circulant matrix is determined by its first row.
循环矩阵由它的第一行决定。

Because the system is shift-invariant, we can model it with a circulant matrix and compute its eigenvalues efficiently using the discrete Fourier transform.
由于该系统对移位不变,我们可以用循环矩阵来建模,并用离散傅里叶变换高效计算其特征值。

词源 Etymology

来自 Latin circulare(使成环、围绕旋转)与 circulus(圆、环),词根含义与“循环/环形”相关;在数学语境中引申为“在循环移位下保持结构不变”的对象。

相关词 Related Words

文学与著作 Literary Works

  • Philip J. Davis, Circulant Matrices(专著标题与正文中频繁出现)
  • Roger A. Horn & Charles R. Johnson, Matrix Analysis(矩阵理论章节中涉及 circulant/circulant matrix)
  • Fan R. K. Chung, Spectral Graph Theory(讨论循环图与相关矩阵时出现)
  • Chris Godsil & Gordon Royle, Algebraic Graph Theory(图的自同构与循环结构处常用该术语)
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