Sentence examples for been defined for all from inspiring English sources

Next, consider an ordinal ( alpha > 1 ); if ( zeta _beta ) has been defined for all ordinals ( beta < alpha ), let ( zeta _alpha ) be the class of those (R -modules (M) such that, foR -modulesbModule (N < M), where (M/N ncong M), we have (M/N in bigcup _{beta < alpha } zeta _beta ).

Next, consider an ordinal (alpha >1); if ( zeta _{beta }) has been defined for all ordinals (beta

However, approved guidelines have not been defined for all of the antimicrobial drugs tested in this study regarding feedlot cattle.

However, targets should be specific for the strategy used to identify the goal (e.g. statins and LDL-C), and targets have not yet been defined for all risk factors.

Explicit cut points are defined for all criteria, except elevated waist circumference, which must rely on population and country-specific definitions.

Thirdly, another empirical study shows that if EVPs cannot be defined for all concepts in a hierarchy, the computational technique degrades gracefully.

When this is done, all rational functions make sense on the sphere; for example, 1/z is defined for all points of the sphere by making the natural assumptions that 1/0 = ∞ and 1/∞ = 0.

When this is done, all rational functions make sense on the sphere; for example, 1/z is defined for all points of the sphere by making the natural assumptions that 1/0 = ∞ and 1/∞ = 0.

It is seen that is defined for all satisfying,, and.

The algebraic dual space is defined for all vector spaces.

The maximum satisfaction is defined for all GPs.