Sentence examples for examples with exact from inspiring English sources

In Section 8, we illustrate the method by presenting two numerical examples with exact solutions and also one example without an exact solution.

Two numerical examples with known exact solution are also presented, and the behavior of the error is analyzed to verify the order of convergence of the ADI-Euler method.

For example, links with exact matching on date of birth, sex and transition date had an overall PPV of 98.4% when matching on all four digits of the postcode exactly (PC v2 pass 1 Table 4) compared with a PPV of 94.7% for matches with correspondence only at the broad two-digit postcode region (PC v2 pass 7).

Finally, numerical solutions for illustrative examples are compared with exact ones.

Furthermore, a shape optimization example with an exact solution is presented which can serve as general benchmark for shape optimization methods.

Numerical examples show good agreements with exact solutions, and the order of accuracy is comparable with other immersed interface methods.

We give various examples of generic URS's with exact and nuclear C⁎-algebras and an example of a URS Z for which the associated simple C⁎-algebra is not exact and not even locally reflexive, in particular, it admits both a uniformly amenable trace and a nonuniformly amenable trace.

The method is validated using a numerical example which compares proposed with exact ones and with those determined from the linear first order approximation in terms of the damping matrix.

Limited examples are presented and compared with exact solutions whenever available, to illustrate the efficiency and versatility of the proposed schemes.

By providing some examples, we compare the results with exact solutions and conclude that HPM is more accurate, more stable and effective and can therefore be found widely applicable in structrue engineering.

Stick to the facts––have prepared a list of exact examples, with times and the type of noise, to explain why each noisy incident interfered with your study, sleep and downtime.