Examples of using Eigenvalues in English and their translations into Slovenian
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What does that tell me about eigenvalues?
Hence all eigenvalues of are real and positive.
In this sense, every square matrix has n complex eigenvalues.
Hence we get two eigenvalues, which is a contradiction.
However, the spin can take only two different values(or eigenvalues.).
The eigenvalues of a symmetric tensor are always real.
All we can do is find the eigenvalues approximately.
They are positive definite, which implies they have positive eigenvalues.
For a system whose eigenvalues have a positive real.
But a matrix is positive definite when and only when all its eigenvalues are positive.
Find its eigenvalues and their multiplicities.(denotes the transpose matrix of). 5.
It is positive definite if all its eigenvalues are strictly positive.
Mixing andreaction dynamics will then be expressed in terms of the eigenmodes and eigenvalues.
Since taking transpose does not change the eigenvalues of a matrix, an equivalent formulation is.
Eigenvalues and eigenvectors of square positive matrices are described by the Perron- Frobenius theorem.
Perform vector and matrix operations, including eigenvalues and eigenvectors.
If the eigenvalues are all positive, then the frequencies are all real and the stationary point is a local minimum.
The Eigenvectors corresponding to distinct Eigenvalues are mutually orthogonal.
For example, let{ ω n}{\displaystyle\{\omega_{n}\}}be a sequence of both positive and negative eigenvalues.
The two principal curvatures at a given point of a surface are the eigenvalues of the shape operator at the point.
Find the rank of. is diagonalisable since real symetricmatrix it is not difficult to find its eigenvalues.
The relationship between a graph and the eigenvalues and eigenvectors of its adjacency matrix is studied in spectral graph theory.
A Hermitian matrix is positive definite if all its eigenvalues are positive.
This yields a Hamiltonian whose eigenvalues are the square of the imaginary part of the Riemann zeros, and also that the functional determinant of this Hamiltonian operator is just the Riemann Xi function.
From the above definition,a Stieltjes matrix is a symmetric invertible Z-matrix whose eigenvalues have positive real parts.
Hilbert and Pólya suggested that one way to derive the Riemann hypothesis would be to find a self-adjoint operator, from the existence of which the statement on the real parts of the zeros of ζ(s)would follow when one applies the criterion on real eigenvalues.
Odlyzko(1987) showed that the distribution of the zeros of the Riemannzeta function shares some statistical properties with the eigenvalues of random matrices drawn from the Gaussian unitary ensemble.
Hilbert- Pólya conjecture Hilbert and Pólya suggested that one way to derive the Riemann hypothesis would be to find a self-adjoint operator, from the existence of which the statement on the real parts of the zeros of ζ(s)would follow when one applies the criterion on real eigenvalues.
Cartier(1982) discussed a related example, where due to a bizarre bug a computer programlisted zeros of the Riemann zeta function as eigenvalues of the same Laplacian operator.
Selberg proved that the Selberg zeta functions satisfy the analogue of the Riemann hypothesis,with the imaginary parts of their zeros related to the eigenvalues of the Laplacian operator of the Riemann surface.