Nonetheless, depending on the channel realizations, in the case in which K ⩽ S, global optimal performance can be achieved at the equilibrium.
This is the basis for resolvent estimates and spectral properties of the corresponding L p -realization in the case where the Dirichlet problem for A 1 ( x, D ) in Ω 1 is invertible.
To exemplify the receiver realization in this case, transmit pulse is fixed as two options: conventional rectangular pulse g RECT and the raised-cosine (RC) shaped pulse g RC, which is commonly used in W-OFDM systems.
We repeat this experiment 1000 times (for statistical significance) with each experiment using a new arbitrary sensor placement and a new sensor noise realization in the noisy case; the MAE of each parameter is now computed using the estimates from each trial.
The second level is heterogeneity of methods that are used in a correct reporting of realized procedures, which is conditioned by the first constitutive level (while not emphasizing a place of realization as in the first case, but a type of procedure).
Discussions and debates in the workshops led to a realization that HSR was poorly understood in the case of KSPH, DRC, and that resources are often available but either not distributed or not actively accessed in the example of MUSPSS, Tanzania, and MUSOPH, Kenya.
The key idea on this work is to estimate the worst-case variability in the dynamic feasibility constraints from simulations of the closed-loop process model using the worst-case realization in the disturbances.
f Y i indicates the correlated multidimensional Gaussian distributions, centered around support points that can be manually specified or automatically determined in the case experimental realizations are supplied.
We also assume that in the case of the realization of biomass productive capacity, technological advancement plays a relatively insignificant role within distinct regions in European Union.
(4.14) In the case of the realization (4.12) of the operators X, Y Z, the Casimir operator becomes the identity operator.
In the case of cognitive and motor tasks, preference is given to the realization of the cognitive task.
