Sentence examples for behavior of the eigenvalues from inspiring English sources

In particular, we give the asymptotic behavior of the eigenvalues of the hydrogen atom equation.

The derivation of τ assumes the limit behavior of the eigenvalues at infinity.

In addition, the existing results in literature about the behavior of the eigenvalues mainly consider the rectangular window.

Although this formulation is less explicit than the joint PDF of eigenvalues, it describes the statistical behavior of the eigenvalues.

We also analyze the behavior of the eigenvalues of (mathcal{K}_{l, alpha, k}) with respect to the intrinsic length L of the beam.

The main task in this theory is to determine the behavior of the eigenvalues and eigenfunctions of the associated differential operator.

We study the behavior of the eigenvalue distribution functionn for the equation−λu″=Vu  on R+,  u(0)=0.Typically,n=O(λ−1/2) and, moreover,λ1/2n→π−1 ∫ V dxasλ→0.

A second order perturbation solution is derived to examine the behavior of the eigenvalue spectrum in regions of flutter instability and curve veering.

The qualitative behaviors of the eigenvalues and eigenfunctions are discussed, and numerical reconstructions of the potential with a Newton method from finite spectral data are presented.

The behavior of the higher eigenvalues is described at the end of this section.

In Section 3, we first study the asymptotic behavior of the discrete eigenvalues of K.