How To Use Eigenvalue In A Sentence
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Provided we maintain the eigenvalue-eigenstate link, the quantum description by means of that state function will yield neither conclusion, and hence the quantum description is incomplete.
The Einstein-Podolsky-Rosen Argument in Quantum Theory
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In those cases, we see two eigenfunctions with approximately the same statistical wavelength and usually with similar eigenvalues and relative spectral power.
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He showed that in this case the integral equation had real eigenvalues, and the solutions corresponding to these eigenvalues he called eigenfunctions.
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Assuming that the parity operator is hermitian, meaning it is observable, means that its eigenvalues can only be real, meaning there are only two possibilities: 1 or -1. (squareroot of 1 is either 1 or -1). which leads to the conclusion that in this simplified case of two particles in one dimension there are two types of wavefunctions, one we will call bosons and the other fermions.
Thanksgiving
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The chain coding is built by eigenvalue of region description that is partite from image. The grid feature couple is used to locate and detect the human face for the captured image.
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Under distribution , each eigenvalue can be described by its mean and variance.
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The eigenvalue assignment problem is a classical problem in control systems.
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It is shown that the eigenvalue distribution is a function of these multipath parameters.
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The minimum decay coefficient of PM concentrations is computed by a formula, which is found in direct link to the minimum decay rate with the eigenvalues of the state matrix.
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Of course it may also be possible to break the EPR argument for the dilemma plausibly by questioning some of its other assumptions (e.g., separability, the reduction postulate, or the eigenvalue-eigenstate link).
The Einstein-Podolsky-Rosen Argument in Quantum Theory
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In general, it is difficult to calculate the eigenvalues.
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There is, however, a way to obtain the kinetic matrix from the experimental eigenvalues and the eigenvectors directly.
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An iteration procedure can be used to determine the eigenvalue.
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A novel DOA estimation algorithm based on the largest eigenvalue of the covariance matrix is presented. It mainly applies to the pencil beam smart antenna in DS CDMA systems.
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He then went on to consider the case where the kernel is not symmetric and showed that in that case the eigenfunctions associated with a given eigenvalue occurred in adjoint pairs.
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In particular he proved results on the existence of matrices with given eigenvalues and given diagonal elements.
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Discuss the using of modal interval theory in solving the dynamic eigenvalue of uncertain parameters system. Research the divergence problem of solving interval and convergence rate problem.
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Mathematica aside: it is fairly easy to see that superposing two eigenstates of O corresponding to different eigenvalues will give a state that cannot be a simple eigenstate of O.
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Upon diagonalization of C, a set of eigenvalues and eigenvectors is generated defining a new set of generalized coordinates.
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Eigenvalues and eigenvectors were computed by Jacobi rotation.
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It was a matter of estimating eigenvalues of non-self-adjoint differential equations and matrices.
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Like the deformation modulus, the electrical conductivity is such an eigenvalue that it will characterize well the damage of conductible concrete.
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There are two kinds of method to calculate the eigenvalues of a matrix:characteristic polynomial method and QR method.
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In the programming for finding the eigenvalues of the companion matrix of the characteristic polynomial equation, a new balancing transformation technique is developed.
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Weinstein's method was developed to give accurate bounds for eigenvalues of plates and membranes.
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In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear.
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In this formulation of the argument it is clear that locality-separability conflicts with the eigenvalue-eigenstate link, which holds that a quantity of a system has an eigenvalue if and only if the state of the system is an eigenstate of that quantity with that eigenvalue (or a mixture of such eigenstates).
The Einstein-Podolsky-Rosen Argument in Quantum Theory
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Then they sorted the eigenvectors according to the eigenvalues and divided them into three subsets.
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Now the covariance matrix can be written as where T is the transpose, U is an orthogonal matrix (, I is an identity matrix), D is a diagonal matrix matrix of eigenvalues (nonnegative numbers).
Reconciling Zorita « Climate Audit
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Thus, each cluster is represented by an ellipsoid using the new axes as the ellipsoidal axes, and the variance along these axes (square-roots of the eigenvalues) as the axis lengths.
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The eigenvalues of the first bending and twisting modes of a structure are directly related to the flexural and torsional stiffness, respectively.
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We solved the fluid-solid interaction eigenvalue problem for the axial wavenumber, fluid pressure, and the vibratory relative motions of the cochlear partition as a function of frequency using an iterative algorithm.
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In August 2003 the computer program made conjecture 1001 stating that for any benzenoid graph, the size of a maximum matching equals the number of positive eigenvalues.
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The eigenvalue effective population size, equal to the leading eigenvalue of this matrix is derived.
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In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear.
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Of course it may also be possible to break the EPR argument for the dilemma plausibly by questioning some of its other assumptions (e.g., separability, the reduction postulate, or the eigenvalue-eigenstate link).
The Einstein-Podolsky-Rosen Argument in Quantum Theory
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Then they sorted the eigenvectors according to the eigenvalues and divided them into three subsets.
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This is where those eigenvalues of random Hermitian matrices enter the picture.
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Then stability of the system depends on the corresponding second - order eigenvalue problem.
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The sum of the eigenvalues is the trace of this matrix and it is sometimes called ‘total variance.’