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In a centralized batch mode, positions can be retrieved (up to a rigid transformation) by applying an eigenvalue decomposition on a so-called similarity matrix built from the relative distances.
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The orthonormal vectors of the null space can be derived either by applying the spectral theorem on the correlation matrix D I in order to keep the vectors corresponding to zero eigenvalues, or by directly applying an eigenvalue decomposition to H I, keeping the vectors of the left orthonormal matrix that correspond to zero eigenvalues.
By applying an analytical solution and solving an eigenvalue problem, the dispersion relations of rotating FG nanobeam are obtained.
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By applying a fixed-point theorem on a cone, some sufficient conditions of multiplicity and eigenvalue intervals for the problem are established.
By applying a well-known eigenvalue singular value inequality to our results, we deduce lower and upper bounds on the modulus of signal eigenvalues.
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By applying ordinary eigenvalue analysis for linear time-invariant systems, the whirl speeds of mistuned bladed rotor are examined for cases of weak and strong inter-blade coupling conditions.
By applying the eigenvalue-eigenstate link to his example, Arageorgis (forthcoming) argues that the energy of a particular compound quantum field system is not determined by the energies (or any other qualitative intrinsic properties and relations) of its component subsystems.
Eigenvalues are used to determine the number of subscales within the measure by applying the eigenvalues >1 rule which produces psychometrically reliable and psychologically meaningful results [ 24].
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