Sentence examples for functions is required from inspiring English sources

The results show that boron-modified catalysts facilitate sulfur removal by promoting alternative catalyst functionalities, isomerization and hydrogenation, and that cooperation between these functions is required not only to generate intermediates easy to desulfurize but also to prevent catalyst deactivation.

A second set of basis functions is required to construct a conservative fine-scale velocity field.

The visibility status between every pair of basis functions is required, taking into account all geometry.

Theorems  3.5-3.6 3.5-3.6 even for mare special cases discussed before, sinew nevener the Lipschitz continuity nor compactness assumption on the impulsive forctions is required.

A large amount of computation, which uses hash functions, is required from every node to verify and accept the new record.

Second, a monotonicity condition on evidence functions is required: \[\mbox{If } \Gamma \mathcal{R} \Delta \mbox{ and } \Gamma\in \mathcal{E} t,X) \mbox{ then } \Delta \in \mathcal{E} t,X)\] And finally, one more evidence function condition is needed.

Network Functions are required mainly for meeting with various requirements in network connectivity, security and performance.

Such functions are required for quantitative volcanic risk assessments.

To evaluate complexes against each other, scoring functions are required.

Various functions are required to make the interface.

More measurements and development of pedotransfer functions are required.