Sentence examples for case of condition from inspiring English sources

Noticing that (23) is a special case of Condition (A2).

If f = identity map, then condition (1.3) can be obtained as particular case of condition (1.4).

The following lemma is a counterpart of Lemma 4 in the case of condition (5).

Remark 4.1 ([[32], Remark 4.6 ]) (i) A special case of condition (C9) is a condition ( C 9 ′ ) defined by:  .

(ii) If J = P, then a special case of condition (C9) is a condition ( C 9 ′ ′ ) defined by:  .

Condition (2.12) is a special case of condition (2.1) with and Therefore the result follows from Theorem 2.1.

"I know of no case of conditions that have been imposed as severe as those on Mr. Madoff".

The results show significant impact behavior improvements for hybrid composites compared to single composites, especially in the case of conditioned samples.

It is therefore possible that the evidence for generic to generic transformations may not be applicable in the case of condition-specific to generic transformations.

As a consequence, natural and sexual selection can favour the same traits, thereby mutually reinforcing each other (as in the case of condition-dependent ornaments discussed above).

Our results suggest that the increase in hydrodynamic size of BSA-modified sGNPs may be related to the linkage of few particles in solution, or in the case of conditioned DMEM, to the formation of a layer around the particles.