The incorporation of anisotropy into fracture phase field models is for example necessary to properly describe the typical sawtooth crack patterns in strongly anisotropic materials.
Only a few examples are necessary to illustrate the point: (1) It is physiologically normal for an individual, 15 to 20 minutes after eating a meal, to have a high blood sugar content.
Historical samples were in all the above examples absolutely necessary to detect, measure, and understand contemporary changes in biodiversity through evolutionary processes.
On the other hand, secrecy is sometimes essential because some things have to be covert – for example activities necessary to ensure the safety of citizens.
"An example is necessary to repress this crime," the judge told him: "I cannot hold out to you the slightest hope of mercy".
It may, for example, be necessary to consider different strategies for aggregating scores that represent individuals' cognitions when their collective behaviours contribute to a single outcome.
Several investigators have demonstrated that a combination of metabolites (hydroquinone and phenol, for example) is necessary to duplicate the hematotoxic effect of benzene.
For example, necessary experiments to do so are outlined in the manual of the popular Biomarks system (Fluidigm Corporation, 2012).
In the case of urban planning, for example, it is necessary to provide insights better regarding to what to do than if the risk is high, medium, or low.
With mice, for example, it's necessary to check gene by gene what's been inherited, which makes genetic research much more time-consuming and costly.
