Although such formulation is in principle exact, its practical implementation has to rely on approximations, which, despite being successful in explaining many properties of complex molecules and condensed matter, fail when correlation among electrons becomes important.in recent years, the hosting group has developed a formalism to deal with strong correlation in density functional theory, based on the exact dft limit of infinite coupling strength
. The formalism has also been extended to bosonic systems with different kind of long-ranged repulsive interactions with very promising proof of principle results.
There is also work to quantify the relative contribution of local versus external forcing to event- and seasonal-scale L-A coupling strength
, in the midst of internal variability (e.g., Song et al.
The results obtained for other values of the coupling strength
(e.g., for [omega] = 0.01i; 0.1i or 0.5i) are very similar.
On the one hand, conventional multifield coupling research does not consider the effect of damage, which means that elastic modulus, cohesion, and coupling strength
parameters are constant in the calculation process and that the research will not reflect the nonlinear elastic compression or expansion of microdefects caused by deformation, an important feature of strain hardening or softening stage.
Then, EEG characteristics were extracted in the selected frequency band and the time window, including the coupling strength
, global brain network topology, and local brain network topology.
where s is the coupling strength
; the values s = 0.5 and [alpha] = 0.85 were chosen.
where [sigma] > 0 is coupling strength
and G = [([g.sub.ij]).sub.N x N] is the adjacency matrix of the associated communication graph.
[11.] Alison, J., Kokkolaras, M., Papalambros, P., "On the Impact of Coupling Strength
on Complex System Optimization for Single-level Formulations," presented at DETC 2005, USA, September 24-28, 2005.
where [E.sub.1], [[beta].sub.1] and [E.sub.2], [[beta].sub.2] are mode fields and propagation constants of the core guided mode and plasmon mode respectively, k is coupling strength
and z is the direction of propagation.
Modification of gate location is recommended to improve fiber orientation and change in location of knit lines, in order to increase the coupling strength
which is verified numerically and through testing using this developed approach.
The final state of the synchronized system changes with the change in the coupling strength
. This was observed for two different types of coupling, one with a single variable and the other with two system variables.
With this setup, some sufficient conditions relating to coupling strength
, sampling period, and quantizer parameter are obtained for synchronized CHO.