Examples of using Eigenvalue in English and their translations into Japanese
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Eigenvalue Analysis using pSAN-hpcmw.
The rank of A is equal to the number of non-zero eigenvalues of A.
A has a right eigenvector v with eigenvalue r whose components are all positive.
The Eigenvalues show that the first factor alone explains 93% of the variability.
X is the unique square root for which every eigenvalue has nonnegative real part.
Eigenvalues: The eigenvalues and corresponding chart(scree plot) are displayed.
Factoring in spectral decomp. Processing. Right, give me the eigenvalue of that particle.
If there exists an eigenvalue λ of A with Re(λ)> 0 then the solution is unstable for t→∞.
Mixing an reaction dynamics willthen be expressed in terms of the eigenmodes and eigenvalues.
(A3) When P≠ Pc, the absolute value of the eigenvalue of the system(1) is generally not 1.
The percentage of the totalvariability corresponding to each axis is computed from the eigenvalues.
Eigenvalues: If a PCA has been requested, the table of the eigenvalues and the corresponding scree-plot are displayed.
Canonical Y's are saved for eigenvectors corresponding to eigenvalues larger than zero.
Eigenvalues and percentage of inertia: this table displays the eigenvalues and the corresponding percentage of inertia.
So research on eigenfaceshas applied principle component analysis and eigenvalues to the space of faces.
Large random matrices have nice properties; their asymptotic eigenvalue distributions are deterministic, and their traces are asymptotically normally distributed.
This is equivalent to the problem of searching for a non-zero solution u u(x) to the following equation,which is called an eigenvalue problem.
The eigenvectors happen to be 0.7064 and 0.7078 with an eigenvalue of 4.004, and the 2nd one is orthogonal with an eigenvalue much smaller.
Eigenvalues: This table shows the eigenvalues associated with the various factors together with the corresponding percentages and cumulative percentages.
It seems surprising its basic configuration simple indirect injection, but which calls attention high compression ratio of 11:1 announcing an eigenvalue of direct injection engines.
Eigenvalues and percentages of inertia: The eigenvalues, the percentages of inertia, the percentages of adjusted inertia and the corresponding scree plot are displayed.
The MUSIC method is the method of estimating the direction-of-arrival(DOA)utilizing the eigenvalue decomposition of the correlation matrix among input signal channels. The algorithm is summarized below.
A quantum computer using such a high-dimensional linear system of quantum mechanics is expected to be able to efficiently perform operations necessary for processing high-dimensional data in machine learning fields,such as eigenvalue calculation and inverse matrix calculation.
The condition for the second largest absolute eigenvalue(Ramanujan inequality) is equivalent to the condition on the poles of the Ihara zeta function Riemann Hypothesis of the Ihara zeta function.
In general, when a scalar λ and a non-zero column vector x satisfy the relation Ax=λx for a square matrix A, λ is called an eigenvalue of A and x is called an eigenvector with respect to the eigenvalue λ.
Combustion oscillation presents yet another obstacle. Temperatures inside the combustor reach 1,600°C, and it is known that imposing an extremely high thermal load on the combustor cylinder results in the generation of a veryloud noise due to the cylinder's specified eigenvalue.
Applying singular value decomposition enables hand templates to berepresented as linear combinations of a small number of eigenvalue templates and eigenfunctions. Eigenfunctions take discrete values, but response values can be calculated with arbitrary parameters by fitting a continuous function.
Seminars| Institute of Mathematics for Industry Abstract: Ramanujan Graphs are interesting objects as efficient networks. Ramanujan graph is a regular graph which satisfies the inequality(Ramanujan inequality)for the second largest absolute eigenvalue of its adjacency matrix.
Simulation programs require variousnumerical algorithms for the solution of linear systems, eigenvalue problems, fast Fourier transforms, and non-linear equations. In order to take advantage of the full potential of the K computer, we must select algorithms and develop a numerical software library based on the concepts of high parallelism, high performance, high precision, resiliency, and scalability.
We have found that MSC Nastran is the only code that can run full 3D finite element models,including gyroscopic stiffening effects when solving complex Eigenvalue analyses, frequency response analyses, and non-linear analyses.