Sentence examples for the given solutions from inspiring English sources

Besides their immediate theoretical interest, these branches are particularly difficult to handle by the standard numerical procedures of non-linear analysis, so the given solutions may represent severe benchmark tests.

Especially, it has no repeating computations and uses the given solutions on the first fewer M time steps for Problem III to extrapolate other ((n-M)) solutions, which is completely different from existing reduced-order approaches (see, e.g., [14 35] etc).

Can you figure out how to change the differential equation and the initial conditions so that the given solution 26 becomes correct?

The given solution is analytically in exact agreement with the existing solution for a homogeneous transversely isotropic half-space.

In addition, a right-shifting procedure is utilized to decrease the processing duration for all machines, thereby improving the energy consumption objective of the given solution.

However, in both the structures, dielectric constant and charge density are considered as a sensing parameter for sensing the charged and non-charged biomolecules in the given solution.

Often it remains unclear how the given solution is obtained.

The given solution ensures the required QoS parameters for the CR users with the FB=400MHz, MOD=QPSK, BER=10-9, PWR=3dBm, ITPU= 0.25, TOI=0.9394.

The subject had to decide the correctness of the given solution.

The circular portion represents a neighborhood around the given solution.

The density of the solutions were measured by weighing 1 ml of the given solution at the test temperature.