Sentence examples for expressions are given from inspiring English sources

The solution of the problem under discussion is expressed in terms of the Lamé scalar and vector potentials and analytical expressions are given for the wave motion characteristics.

These expressions are given below.

The mathematical expressions are given in formula (26) and (27).

Explicit expressions are given for special cases for further use.

Expressions are given for transfer functions for downhole movements and pressures (surge and swab).

Explicit expressions are given for the effective thermo-elastic constants of undamaged laminates.

The exact expressions are given in the following lemma whose proof is reported in the Appendix.

The interference power expressions are given by (21) and (22): (22).

and detailed expressions are given in Appendix 1 (see Equations 39 to 43).

In addition, expressions are given for the maximum available power from a source.

Three simplified power expressions are given corresponding to frequencies below coincidence, above coincidence and near coincidence.