Sentence examples for by direct computation from inspiring English sources

By direct computation, (6.4).

By direct computation, we have.

By direct computation, we get.

By direct computation, inequality (3.12) is obvious.

By direct computation, we also have (3.9).

The converse follows by direct computation.

By direct computation for, we have.

By direct computation, one can prove that (C.7).

end{aligned} (20) By direct computation based on Eqs.

The converse of the theorem follows by direct computation.

This can be checked by direct computation: 1.