Writing the constraint x ≤ E f 1 h, p ( h ) in the more cumbersome form shown in (88) has the advantage that the latter can be generalized to cases in which we are given stochastic processes p ( N ) and x ( N ) in which x ( N ) is not necessarily ergodic and realizations p t) of the process p ( N ) are more general than just functions of the channel state h(t).
However, the method can be generalized to cases where little or no protein reference data is available.
The patient group studied were those people who were sufficiently unwell to require hospitalization, and so the findings cannot be generalized to cases with milder clinical manifestations.
Underlying medical conditions and severe outcomes are more common in hospitalized patients than patients in the community; therefore, this reference group will not be representative of all pandemic (H1N1) 2009 patients, and our results cannot be generalized to community cases.
The methodology is generalized to cover cases in which expression measurements are missing for many of the genes that might control the transcription of the genes of interest.
The treatment of Hoult (1972. Annual Review of Fluid Mechanics, 4, 341 368) is generalized to include the case where the volume of an oil strip is not necessarily constant and varies as a power-law function of time.
The generalized parametric duality model results, established in this paper applying generalized ((mathcal {F},beta,phi,rho,theta,m -sounivexity assumptions,m -sounivexityized to the cassumptionsgeneralized ((mathcan {F},beta,phi,h(x^*,z),kappa (x^*,z),rho,theta,m))-sounivexity.
The method developed can be used to study the nonlinear instability of wall-bounded parallel shear flows, and be generalized straightforwardly to three-dimensional cases.
This mechanistic twist, however, needs not to be generalized and is likely limited to the cases where other facile processes could interfere.
In the general case, this will be generalized as follows: for each train [p j,p j+1), there will be a unit vector v j with respect to which the maps g n will be lower triangular. Let us be more precise. Suppose that the linear part of a map g has an eigenvector v. Let U be a 2×2 unitary matrix such that.
This potential can be further generalized to the case of elliptical orbits, as discussed in Sepinsky et al. (2007).
