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单词 eigenvalue
释义

eigenvalue

/ˈʌɪɡənˌvaljuː /
noun Mathematics & Physics
1Each of a set of values of a parameter for which a differential equation has a non-zero solution (an eigenfunction) under given conditions.He showed that in this case the integral equation had real eigenvalues, and the solutions corresponding to these eigenvalues he called eigenfunctions....
  • It was a matter of estimating eigenvalues of non-self-adjoint differential equations and matrices.
  • In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear.
2Any number such that a given matrix minus that number times the identity matrix has zero determinant.In particular he proved results on the existence of matrices with given eigenvalues and given diagonal elements....
  • This is where those eigenvalues of random Hermitian matrices enter the picture.
  • The eigenvalue effective population size, equal to the leading eigenvalue of this matrix is derived.
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更新时间:2025/1/11 11:26:10