Sentence examples for set of resonances from inspiring English sources
In the case of ( - Delta + V ) on ( {mathbb {R}}^n ), the discrete spectrum is replaced by the discrete set of resonances.
end{aligned} (4.43)Here ( mathrm{Res},( P ) ) denotes the set of resonances of P. Obviously if ( nu _0 > 0 ) and if we know that there are no non-zero real resonances, then ( nu _1 > 0 ).
This integral equation has a unique solution whenever the Beltrami parameter λ is not a member of a discrete, countable set of resonances which physically correspond to spontaneous symmetry breaking.
The data were similar to that of artocaepin D, which was isolated from the same plant [11], except for the presence of signals of a set of resonances due to a trans-p-coumaroyl unit, which was confirmed by the 1H 1H correlation spectroscopy (COSY) and heteronuclear multiple bond correlation (HMBC) spectra (Fig. 2).
In all cases only one set of resonances, consistent with the crystallographically determined formulae, were observed.
The NMR resonances at pH 5.3 matched the major set of resonances observed at pH 7.0.
A new set of experiments has been designed and performed at the neutron time-of-flight facility GELINA, to determine the total cross section and to extract a set of resonance parameters.
This set of resonance assignment contains 83 assigned residues, all are correct.
These two sets of resonances were therefore used as a point of differentiation in the determination of the absolute configuration of ESK246.
For the X N1H imino proton in the 5′-XC-3′ duplex, two sets of resonances were observed at 278 K.
Although in the binary complex only the Met18 resonance exhibits two peaks, formation of the ternary complex results in two sets of resonances for each methionine methyl group, except for Met191.
