| NOUN | an eigenvector | eigenvectors | |
NOUN article.ind sg | pl
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Usage Examples English
- An eigenfunction is a type of eigenvector.
- autocorrelation matrix, the dimension of the noise subspace is equal to one and is spanned by the eigenvector corresponding to the minimum eigenvalue.
- Eigenvector centrality is a measure of the influence a node has on a network.
- every eigenvector with eigenvalue 1 is orthogonal to every eigenvector with eigenvalue −1, such an affine involution is an isometry.
- In using these criteria, one must be careful to ensure that the largest eigenvalue belongs to a "timelike" eigenvector, since there are Lorentzian manifolds, satisfying this eigenvalue criterion, in which the large eigenvalue belongs to a "spacelike" eigenvector, and these cannot represent radiation fluids.
- Real, repeated eigenvalues require solving the coefficient matrix with an unknown vector and the first eigenvector to generate the second solution of a two-by-two system.
- Notation: The index j represents the jth eigenvalue or eigenvector.
- has a nonzero component in the direction of an eigenvector associated with the dominant eigenvalue, then a subsequence [...] converges to an eigenvector associated with the dominant eigenvalue.
- The nonnegative eigenvector is often normalized so that the sum of its components is equal to unity; in this case, the eigenvector is the vector of a probability distribution and is sometimes called a "stochastic eigenvector".
- In the usual eigenvector problem, there is freedom to multiply an eigenvector by an arbitrary scalar; in this case there is freedom to multiply by an arbitrary non-zero rotation.
- As for unidimensional networks, eigenvector versatility can be defined as the solution of the eigenvalue problem given by [...] , where Einstein summation convention is used for sake of simplicity.
- These eigenvectors have several interesting implications.
- In linear algebra, a generalized eigenvector of an [...] matrix [...] is a vector which satisfies certain criteria which are more relaxed than those for an (ordinary) eigenvector.
- can be taken as an eigenvector associated with the eigenvalue −2, and [...] as an eigenvector associated with the eigenvalue 3, as can be verified by multiplying them by [...].
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Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
Links to this dictionary or to individual translations are very welcome!