Sentence examples for indicate that the solutions from inspiring English sources

However, numerical examples indicate that the solutions of the one-way wave equations remain finite and smooth near caustics.

The results indicate that the solutions to the test functions were almost the same with theoretical ones and the number of function evaluations for each test function was less than that obtained from using previous approaches.

Experimental results clearly indicate that the solutions of the proposed algorithms lead to significantly better MCM designs at gate-level when compared to those obtained by the solutions of algorithms designed for the optimization of the number of operations.

Computed results indicate that the solutions are spectrally accurate, can be more accurate and more efficient than a single domain calculation, and that reflections of waves at interfaces are not significant.

Results obtained from the case study indicate that the solutions for both continuous and binary variables have been generated, which are useful for identifying suitable fuel-supply patterns and heat-source operational modes for a heating system under different system reliabilities and heating-load distribution states.

Our results indicate that the solutions improve when the heuristics are used.

Numerical simulations are made to indicate that the solution is feasible.

Results of extensive tests on the solution procedure indicate that the solution method is both efficient and effective.

These results indicate that the solution procedure is quite effective for a wide range of problem instances.

Complementary boundary conditions indicate that the solution to the boundary value problem cannot take certain values at the boundaries.

The results of X-CT indicate that the solution does not transport through the old attached mortar in coarse RCA.