The quasi-bound resonances described by such eigenstates can give rise to so-called exceptional points (EPs), which are non-Hermitian degeneracies at which the real and imaginary parts of two eigenvalues are identical, such that both the position and the width of two resonances are the same.
The resonance free strip is the same as in Theorem 10 and the resonances in the strip ( {mathrm{Im}},lambda > - frac{1}{2} (nu _{max } + varepsilon ) ) satisfy a Weyl law: (| { lambda : {mathrm{Im}},lambda > - frac{1}{2} ( nu _{max } + varepsilon ), 0< mathrm{Re},lambda < R } | sim R^{n-1} mathrm{vol},( K_{[0,1]} ) / (2 pi )^{n-1} )—see [67, Theorem 3].
The dip point can also be regarded as the resonance wavelength value, and it is the same value as the peak resonance wavelength.
The frequency of the parametric excitation is near a natural frequency of the system, and three cases are analyzed: (i) the external excitation is absent; (ii) the external excitation is present but is not involved in a resonance; and (iii) the external frequency is the same as the parametric frequency.
In the Alfven resonance, a monochromatic fast magnetosonic (FMS) wave propagating in an inhomogeneous plasma with magnetic field, drives an Alfven wave at the resonance magnetic shell, where its frequency is the same as the local frequency of Alfven oscillations.
The information is the same, but clearly, the emotional resonance of the words in the written journal is different.
The EIT effect is observed when the peak frequencies of the two resonance spectra are the same, while the Fano resonance is observed when the two peak frequencies are different.
If this were a pure single-size glycan, individual resonances would represent different chemical groups within the GRG molecule and D values derived from any given resonance should be the same or very nearly the same (e.g. differences in internal motions of glycan side chains could affect D).
NPR pointed out that putting Tubman on the $20 bill would be poetic because of "a special historical resonance: that's the same amount she eventually received from the US government as her monthly pension for her service as a nurse, scout, cook and spy during the Civil War, as well as for her status as the widow of a veteran".
Note that we are not claiming that in these four stochastic resonances the neuronal circuits are the same.
