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Mathematics Physics1Each 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.’**‘Then they sorted the eigenvectors according to the eigenvalues and divided them into three subsets.’**‘Upon diagonalization of C, a set of eigenvalues and eigenvectors is generated defining a new set of generalized coordinates.’*

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.’**‘There is, however, a way to obtain the kinetic matrix from the experimental eigenvalues and the eigenvectors directly.’**‘In general, it is difficult to calculate the eigenvalues.’*

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