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单词 eigenvector
释义

Definition of eigenvector in English:

eigenvector

nounˈʌɪɡənˌvɛktəˈīɡənˌvektər
Mathematics Physics
  • A vector which when operated on by a given operator gives a scalar multiple of itself.

    〔数,物理〕本征向量,特征向量

    Example sentencesExamples
    • In this paper we prove that every square matrix with complex coefficients has an eigenvector.
    • In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear.
    • From the calculated eigenfrequencies and eigenvectors, statistical measures of motion can be derived.
    • Eigenvalues and eigenvectors were computed by Jacobi rotation.
    • Then they sorted the eigenvectors according to the eigenvalues and divided them into three subsets.

Definition of eigenvector in US English:

eigenvector

nounˈīɡənˌvektər
Mathematics Physics
  • A vector which when operated on by a given operator gives a scalar multiple of itself.

    〔数,物理〕本征向量,特征向量

    Example sentencesExamples
    • In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear.
    • In this paper we prove that every square matrix with complex coefficients has an eigenvector.
    • Then they sorted the eigenvectors according to the eigenvalues and divided them into three subsets.
    • From the calculated eigenfrequencies and eigenvectors, statistical measures of motion can be derived.
    • Eigenvalues and eigenvectors were computed by Jacobi rotation.
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更新时间:2025/6/20 5:01:01