Sentence examples for cases methods from inspiring English sources

In these cases, methods for direct encoding of the Gibbs distribution into the states of the qubits would be more efficient34,35.

These fluxes agree with those of Notsu et al.31 within the uncertainties, although the uncertainties associated with the estimated magnetic fluxes are relatively large in both cases (Methods).

In such cases methods which attempt automatically to adjust the sizes of both the space and the time steps are likely to be more successful in efficiently resolving critical regions of high spatial and temporal activity.

Together with Robert D. Richtmeyer, a fellow mathematician at the Courant Institute, Lax showed that, in a wide class of cases, methods of numerical analysis give accurate solutions to the equations, and, in work with others (including the German-born American mathematician Kurt Friedrichs and American mathematician Burton Wendroff), he introduced new numerical methods for finding solutions.

It is believed that the proposed formulation could find acceptance in the design community once it is expanded to include other load cases, methods of section fabrication, cross-sections, etc., and complemented by the appropriate safety elements required by the Eurocode or other international codes.

In these cases, methods which assume a multinormal distribution for the variables are not ideal.

In such cases, method validation could be limited to the determination of repeatability, linearity and specificity.

There are multiple reasons for this, in some cases method-specific.

In this case, methods of topology, differential geometry, and partial differential equations can be applied.

Hence this multivariate group approach is complementary to and compatible with single-case methods.

Advantages of CASE methods are demonstrated on some examples of structure revision.