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1 ue exists as well as a finite number of zero eigenvalues.
2 skew-symmetric pairs with oppositely signed eigenvalues.
3 determine PCA modes (eigenvectors) and their eigenvalues.
4 pressions are obtained for the corresponding eigenvalues.
5 , and associated matrices have small leading eigenvalues.
6 determined by the corresponding transmission eigenvalues.
7 e dynamics associated with a pair of complex eigenvalues.
8 phase system, leading to modes with negative eigenvalues.
10 g, developed as a fast numerical solution to eigenvalue and linear least-squares problems of the form
11 data was improved significantly by adjusting eigenvalues and correlation times of the dominant modes.
12 pecifically, our method explicitly finds the eigenvalues and eigenfunctions of the diffusion generato
13 rms of a set of equilibrium averages and the eigenvalues and eigenfunctions of the diffusion operator
16 he evolution of different quantities such as eigenvalues and eigenvectors, we find that the US housin
18 urring in all open physical systems when two eigenvalues and the corresponding eigenstates coalesce.
19 xceptional point (EP), which occurs when the eigenvalues and the corresponding eigenstates of a syste
20 taining a strong separation between the bulk eigenvalues and the eigenvalues relevant to community st
21 which is solved analytically to produce the eigenvalues and the eigenvectors that specify the NMR pa
23 the markers, the higher the variance of the eigenvalues and the lower the number of independent test
24 From the reorientational eigenmodes, their eigenvalues, and correlation times, NMR relaxation data
25 ntify protein mobility, PCA modes with their eigenvalues, and displacement vector (DV) projections on
28 operty of bipartite networks: large dominant eigenvalues are associated with highly nested configurat
29 terms of Heun confluent functions, while the eigenvalues are determined via the solutions of a simple
32 that M is characterized by positive dominant eigenvalues; by contrast, rapidly changing environments
33 bbit ventricular myocytes, we show that this eigenvalue can be estimated in practice by pacing these
35 are computationally expensive, requiring an eigenvalue decomposition (EVD) for every new query image
36 ssifier on individual data sets, generalized eigenvalue decomposition (GEVD) and kernel GEVD, the pro
37 a particular gene, termed Meff, by using the eigenvalue decomposition of the genotype correlation mat
41 f T and the effective number of transmission eigenvalues determines the probability distributions of
42 y richer economic information in the largest eigenvalues deviating from RMT predictions for the housi
47 ered collective modes and positive shifts in eigenvalues due to the constraining effect of bt10 bindi
48 Principal component analysis, based on an eigenvalue-eigenvector analysis of the scaled sensitivit
49 Here, we present a way to solve the extremal eigenvalue/eigenvector problem, turning it into a nonlin
51 and to an arguably simpler Perron-Frobenius eigenvalue equation of the type that occurs in the study
52 btained by solving the resulting generalized eigenvalue equation, and the flux autocorrelation functi
53 eatures including a spectral gap in which no eigenvalue exists as well as a finite number of zero eig
59 actor analysis demonstrated two factors with eigenvalues >2 that explained 52.2% of the variance, mai
61 ic and [Formula: see text]-broken phases for eigenvalues have extensively been studied in the last de
62 , no distinct time separation exists for the eigenvalues, hence multiple (slow) eigenmodes contribute
63 d in the spectral vicinity of exact embedded eigenvalues in spite of deep surface modulation and vert
64 ic and [Formula: see text]-broken phases for eigenvalues is theoretically demonstrated in heterostruc
66 iffusivity [MD], fractional anisotropy [FA], eigenvalues [lambda(i)]) imaging parameters and urine ou
68 " This probability is related to the maximum eigenvalue (lambda1) of the adjacency matrix of the RyR2
71 ally, this is an observation of an 'embedded eigenvalue'--namely, a bound state in a continuum of rad
72 ces to the case of many parameters, ramified eigenvalues, not necessarily hermitian matrices, etc.
73 ining intrinsic kinetic isotope effects from eigenvalues obtained in transient kinetic experiments.
74 rne provide an approximation for the leading eigenvalue of a food web community matrix involving coef
75 e estimation algorithm efficiently finds the eigenvalue of a given eigenvector but requires fully coh
76 nd that stability is governed by the maximum eigenvalue of a modified adjacency matrix, and we test t
77 the eigenvector associated with the largest eigenvalue of a quadratic form computed through suitable
80 previous theoretical studies showed that the eigenvalue of the alternating eigenmode represents an id
81 is found that the vibration frequency is an eigenvalue of the delaminated lamina determined only by
82 he eigenvector corresponding to the smallest eigenvalue of the diffusion tensor obtained from diffusi
84 onship between the hysteresis and the middle eigenvalue of the transformation stretch tensor as predi
85 show that for L approximately 4xi, a single eigenvalue of the transmission matrix (TM) dominates tra
86 We construct an Euler product from the Hecke eigenvalues of an automorphic form on a classical group
87 ates probed in these experiments have energy eigenvalues of approximately 3,330 cm(-1) and lie above
88 feedback loops in a network, as well as the eigenvalues of associated matrices, is determined by a s
89 l dimension grows exponentially, finding the eigenvalues of certain operators is one such intractable
91 ove that (under certain mild conditions) the eigenvalues of the (normalized) Laplacian of a random po
94 " component by testing the statistics of the eigenvalues of the correlation matrix against a "null hy
95 of the largest eigenvalue to the sum of the eigenvalues of the cross-spectral matrix at a given freq
96 s disease by analysing each of the component eigenvalues of the diffusion tensor in isolation to test
97 ce apparent diffusion coefficient (ADC), and eigenvalues of the diffusion tensor in lesions and contr
99 ve is determined by "spectral" data, namely, eigenvalues of the Frobenius operator of k acting on the
100 n abundance fit a geometric series as do the eigenvalues of the integral transform which kernel is a
101 ematical connec- tion between the spectra of eigenvalues of the Laplacian matrix and the behaviour of
102 ut not trivial consequence of the spectra of eigenvalues of the Laplacian matrix, where behaviour may
103 n terms of nonlinear dynamics, the Laplacian eigenvalues of the nominal interconnections, and the var
104 ed in a genome scan from the variance of the eigenvalues of the observed marker correlation matrix.
105 sequence works to lower the maximal absolute eigenvalues of the stochastic model, thereby contributin
106 m accidental degeneracy, whereas the complex eigenvalues of the system are deformed into a two-dimens
107 is (PCA) of the ratio of the second to first eigenvalues of the T-wave vector (PCA ratio) (>32.0% in
108 antified by the ratio of the second to first eigenvalues of the T-wave vector by PCA (PCA ratio); QTd
109 explained in terms of a charge model for the eigenvalues of the TM tau in which the Coulomb interacti
110 n size, because such changes affect only the eigenvalues of the transition matrix, not the eigenvecto
111 nd to points in parameter space at which the eigenvalues of the underlying system and the correspondi
114 y, respectively, of semisimple matrices, the eigenvalues of which are ramified on D as functions of x
115 tructed by binding triples identified by the eigenvalue pattern of the dependence model, and are furt
117 cancer and normal patterns suggests that the eigenvalue pattern of the proposed models may have poten
119 odynamic model takes the form of a nonlinear eigenvalue problem for the swimming speed and locomotion
120 ly much more desirable than solving the full eigenvalue problem for the whole assembled structure.
122 design sensitivity for the mixed variational eigenvalue problem is derived using the adjoint method a
123 state dynamics can be determined solving the eigenvalue problem of a matrix representing the regulato
124 is computed as the solution to a generalized eigenvalue problem, and its performance for fold classif
126 ion matrix, with the corresponding series of eigenvalues proportional to the series of the "fractions
127 e led to a formal hypothesis test of the top eigenvalue, providing another way to achieve dimension r
128 aration between the bulk eigenvalues and the eigenvalues relevant to community structure even in the
130 etween the conductivity and diffusion tensor eigenvalues (respectively, final sigma and d) in agreeme
132 a "glass transition" temperature, T(g), the eigenvalues show a distinct time separation, and the rat
135 , spherical anisotropy coefficient (CS), and eigenvalue skewness (SK), as well as normalized signal i
136 atistical mechanical model that combines the eigenvalue solutions of the rate matrix and the free-ene
137 on for effective size is obtained by finding eigenvalue solutions to the recurrence equations for inb
138 e this result by using a variational quantum eigenvalue solver (eigensolver) with efficiently prepare
139 by a combination of a fast mixed variational eigenvalue solver and distributed Graphic Processing Uni
143 combinations of these modes approximate the eigenvalue spectrum and eigenfunctions in a systematical
145 changing environments favor Ms with dominant eigenvalues that are negative, as offspring favor a phen
146 ariance matrix has one (or more) outstanding eigenvalues that cannot be easily equalized because of s
148 ticular, the statistical fluctuations of the eigenvalues ("the energy levels") follow certain univers
150 Global coherence, the ratio of the largest eigenvalue to the sum of the eigenvalues of the cross-sp
151 o utilize the statistical significance of PC eigenvalues to ignore elements of the data most likely t
152 nces the frequency selectivity by moving the eigenvalues toward the imaginary axis; spontaneously osc
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