Sentence examples for shown to be optimal from inspiring English sources

Some of these criteria are shown to be optimal.

These constants are shown to be optimal and are computed explicitly in most practical cases.

These conditions are shown to be optimal for existence and completeness of a wave operator.

The corresponding range spaces F are explicitly described and shown to be optimal.

WINGS transformations are also shown to be optimal for frequency-invariant beamforming (FIB).

Our decisions on the profiles of dynamic constructs are shown to be optimal under some bold assumptions, and expected to be near-optimal in most cases.

In certain cases, the constructed designs are shown to be optimal with respect to their aliased structure.

Linear risk sharing between two adjacent thresholds is shown to be optimal when all agents have CARA utilities.

As a result, the heights of independent spanning trees constructed in this paper are shown to be optimal.

It is also shown to be optimal for the performance criterion for each component of the state.

Under correct specification of the model, however, the ordinary maximum likelihood estimate (i.e. the uniform weight) is shown to be optimal asymptotically.