Sentence examples for example can be solved from inspiring English sources

Many wave propagation problems (in acoustics or in railway catenary or cable car dynamics, for example) can be solved with high efficiency if the computational domain can be truncated to a small region of interest with appropriate absorbing boundary conditions.

The coefficient q is proportional to the potential V, and the eigenvalue parameter λ is proportional to the energy E. Physical problems such as this and those involving sound, surface waves, heat conduction, electromagnetic waves, and gravitational waves, for example, can be solved using the mathematical theory of boundary value problems.

Remark 3.1 Since Example 1.1 and Example 1.2 satisfy the conditions of Corollary 3.1 and Corollary 3.2, the SEPs in Example 1.1 and Example 1.2 can be solved by the algorithm (3.16) and (3.28).

Indeed, there are many problems in transitive graphs, countable groups and stationary processes (for example) that can be solved only by viewing the underlying structure as a limit of finite models.

For example, they can be solved for the quasi-steady state solution.

To show the effectiveness of the proposed GA in solving the proposed model, first three small-sized examples which can be solved optimally using LINGO are presented.

The model is demonstrated and validated by considering two simple examples that can be solved analytically.

We argue that the precision implicit in typical reporting is problematic and sketch methods for quantifying the various sources of error, building up from simple examples that can be solved analytically to more complex cases.

For example, the above problem can be solved by customizing a query example so that the volume of the vocal or drum sounds is decreased.

Remark 3.7 Since Example 3.4 and Example 3.5 satisfy the conditionsof Corollary 2.3, the split equilibrium problems in Example 3.4 andExample 3.5 can be solved by algorithm (3.4).

While those applications that make use of the first approach could, at limit, turn back into a sequential run (when any subroutine need the results of the previous one), iterative simulations represent a good example of algorithm that can be solved using the second approach; in this case, ideally, the speed up increases linearly with the increasing of the number of CPUs.