Sentence examples for not necessary of from inspiring English sources

He generalized earlier works to an arbitrary decay not necessary of exponential or polynomial rate.

The feasible inequality condition (40) is sufficient but not necessary of IA.

Though computational and empirical models provide information concerning plate penetration, a theoretical, late time model provides the convenience and efficiency (computation of the full time history of the impact process is not necessary) of a closed form model with the rational basis of a physics based mathematical relationship.

It is not necessary, of course, that they have exactly the same background.

Oocyte growth, particularly in oviparous species, is characterized by intense deposition of RNAs and proteins, not necessary of the same nature and origin.

A formal count is not necessary, of course, but make a mental note of how often she uses emoticons and which ones she uses most.

This suggested that verbal encoding was not necessary for learning of positions of identical objects.

Results suggest that conscious recognition of stimuli is not necessary for activation of cognitive processing.

It suggests that conscious recognition of stimuli is not necessary for initiation of cognitive processing.

Our results support the notion that the cytoplasmic domain of TF is not necessary for activation of STAT5/Bcl-2 pathway.

This isn't necessary, of course, but it really helps.