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Finally, intravalley scattering of holes via interaction with nonpolar optical phonons is described by the coupling term [25]: (69).
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end{aligned} (8) The qubit current operator (hat{I}_{q} = I_{p}sigma^{z}) is governed by the qubit Hamiltonian (2) with the coupling term (J_{q} = I 0,t)M/c^{2}).
In order to evaluate the effects of mechanical coupling on the post-buckling performance of mentioned plates, the uncoupled solution has also been determined by precluding the coupling terms (i.e. B16, B26).
Finally, a simplified general failure criterion for spot welds under three resultant forces and three resultant moments is proposed by neglecting the coupling terms of the resultant forces and moments for convenient use of the failure criterion for engineering applications.
In the design of adaptive output feedback dynamic surface control, the unknown nonlinear functions are directly approximated by neural networks, while the coupling terms being lumped together with those unknown continuous functions produced in deduction are approximated as a whole.
However, this coupling is non-cooperative, in other words, the coupled terms have different signs.
We proceed with the model Hamiltonian Eq. (2), as it permits a full and clear exploration of all the issues connected with parity measurement, without the inessential complicating features introduced by the additional coupling terms.
Mathematically, this is because the behavior of the modes in the vicinity of the intersection line is determined by the sign of the corresponding coupling term (last term in Equation (18)), (which for that numerical value of various parameters is in accordance with Ref [11]).
The complex dynamical networks system contains the general coupling term and the time-delay coupling term.
The mechanical coupling term comes out from the thermal stress induced by the temperature field.
Keystone transform is capable of removing the linear RCM effectively by removing the first-order coupling term in the frequency domain.
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