sufficient condition in a sentence

Examples

1. A sufficient condition for transitivity is nonwandering : \ Omega ( f ) = M.
2. The sampling theorem provides only a sufficient condition for perfect reconstruction, not a necessary condition.
3. Taxonomies are a necessary but not sufficient condition for adequate evaluation of a given data set.
4. "It's necessary, but in and of itself, it's not a sufficient condition for foreign investment ."
5. Arguably, a large population is a necessary but not sufficient condition for global power and influence.
6. Under weak restrictions the Retkes criterion gave a new necessary and sufficient condition for the convergence.
7. Watson proved that the necessary and sufficient conditions for reliable transfer is to bound three timers.
8. "The question is : is it a necessary or a sufficient condition ? " said Bury.
9. Given the properties of a concept, these are necessary and sufficient conditions to classify the concept.
10. It may be undesirable if it does not provide sufficient conditions for the workers to be respected.