Sentence examples for optimal in general from inspiring English sources

We prove that there exists a self-adjoint element h∈A such that 0.2)∥u−exp(ih)∥<ϵand∥h∥⩽2π. Examples are given that the bound 2π for ∥h∥ is optimal in general.

We also prove a Craig Simon type theorem for the density of states measure associated with a stochastic family of CMV matrices and use our construction from the first part to prove that the Craig Simon result is optimal in general.

The predictive power is, however, sub optimal in general populations as compared with MCI cohorts because of the lower prevalence of incipient AD in this group [ 13].

Nevertheless, both IP and IDP address the CSG problem as CFGs and provide optimal solutions in general static cases.

A fundamental issue in experiment design is that the optimal input in general depends on system parameters to be estimated.

Two fast-to-compute algorithms, one extrinsic and the other intrinsic, are proposed to approximate the optimal solutions in general cases.

Part II studies precoders having the lowest average mean square error, deriving closed form solutions in special cases and developing a stochastic optimisation algorithm for computing optimal precoders in general.

Before proceeding further, it is pertinent to note that in this work we restrict our attention to feedback Stackelberg solutions where the optimal policy, in general, depends on the current state and time (Basar and Olsder 1999; He et al. 2009, 2011).

Although our SVD-based approach (shown in Figure 5A) does not necessarily yield the optimal solution, in general, lower resulting bandwidth is indicative of better correspondence between the two parcellations.

The second aim was to identify facilitators and barriers that affect the provision of optimal care in general practice were identified.

Critical issues arose not due to the cross-cultural adaptation but to some aspects of the optimal instrument in general (construction and selected items).