Sentence examples for by explicit examples that from inspiring English sources

In Section 3, we demonstrate by explicit examples that the HLLI RMHD Riemann solver preserves the Alfven wave with high accuracy and respects the contact discontinuity.

I shall discuss some explicit examples that have also been developed by B. Acharya, R. Bryant, and U. Fowdar.

Explicit examples that have almost everywhere vanishing oblique derivative are constructed when L2 is replaced by Lp, p<2.

Let us show with an explicit example that in degree 4 the Jacobian is not necessarily prescribed by the analytic structure of the escaping set.

For centuries, society has grappled with both implicit and explicit examples of racism that have played out in many different areas, including legislation and the criminal justice system.

This may be due in part to the fact that explicit examples of emotionally abusive acts have been added to the Chinese AAS, in line with the improvements to the AAS suggested by Reichenheim and Moraes.

There are so many explicit examples of how "whitewashing" and its corollary of "whites represent all of humanity" that you can hardly believe it.

Explicit examples (recognition of faces and city maps) are provided.

Explicit examples are provided in the Supporting Information.

As another application, we also show that double difference cancellation is possible for linear combinations of four composition operators by constructing an explicit example of a compact double difference formed by two noncompact differences.

Quantitative measures of complexity can be most readily introduced by considering an explicit example.