Sentence examples for valid therefore from inspiring English sources

However, for the terms of matrix A rp defined by (21), this condition is not valid; therefore, its distribution should be different [34].

Interpretations of uni-atomic EMUs are valid, therefore, if and only if: The codomain S is isomorphic to the set of vectors; whose lengths, non-negative integers, are given by a well-defined function of (left| {N} right|) and m; and, The codomain S is a commutative monoid.

This is: For a fully secret trust to be valid, therefore, it must be proved that there was intention, that this was communicated to the trustee, and that the trustee accepted his obligations.

This is a range where the first condition of the diffusion approximation for radiance is valid therefore we expect the demonstrated approach to retain its utility when applied to prostate.

This comes from the consideration that studies of poor quality may yield information that is not valid; therefore, the inclusion of studies with invalid information in a meta-analysis can make the conclusion of the meta-analysis invalid.

After further thought, I do think the complaint was valid and therefore I have included retrospective mentions of the paper in order to make its provenance crystal clear.

It follows that if ∼A is not a theorem, then ∼A is not valid; and, therefore, A is satisfiable; i.e., it has an interpretation, or a model.

This assumption is not valid, and therefore, geometry-related intensity changes must be reduced.

But if Facebook is registered in Ireland, then Irish law is valid, and therefore we need unified European rules," she said.

The developed model for the calculation of the evaporation and deposition parameters of multi-component alloys is universally valid and therefore useful for a lot of applications.

For a will to be valid (and therefore, for a trust made in a will to be valid) it must comply with Section 9 of the Wills Act 1837.