Sentence examples for described in the preceding proposition from inspiring English sources

This ad hoc method may be replaced by a decomposition of the type as described in the preceding proposition with (s(x)=1).

Remark 2 Note that the continuity of φ is not used in the preceding proposition.

These propositions are empirical laws that are inferred from certain "phenomena" (which are described in the preceding section of book III).

One was high-level programming languages (as described in the preceding section, FORTRAN, COBOL, and ALGOL).

Taxpayers described in the preceding paragraph face a dilemma.

Consider the initial codebook generated using the SMQ method described in the preceding section.

The data and structure of the tooltip are described in the preceding section.

For instance, the 32 × 32 matrices described in the preceding section will have 3969 discrete directions.

The beam was then re-retested as described in the preceding sections.

The different types of applications have been described in the preceding chapters.

Here we extend the investigation described in the preceding companion communication.