Testing for differential item functioning is particularly important as it allows researchers and clinicians to ensure that items function uniformly across age, gender or, for example, different scale administration methods, at all difficulty levels.
In fact, semialgebraic functions, real subanalytic functions, semiconvex functions, and uniformly convex functions are all KL functions.
where P ( s ) is a function uniformly bounded from below defined in Lemma C.1.
The functions ((u,v to F t,u,v)) and ((u,v topartial_{i} F t,u,v)) ((i=2,3)) are continuous functions uniformly on (A_{q,a}).
The functions ((u,v to G t,u,v)) and ((u,v topartial_{i} G t,u,v)) ((i=2,3)) are continuous functions uniformly on (A_{q,a}).
Denote by P ̃ A P ( T × D ) n the set of pseudo almost periodic functions uniformly for x ∈ D. Example 4.1.
and also ( H n ( z ) ) n ∈ N is a sequence of analytic functions uniformly convergent to zero for all | z | ≤ r.
Sleep quality × time of day interactions showed that poor sleepers reported high pain, and negative mood and low function uniformly across the day, whereas good sleepers reported relatively good mornings, but showed pain, affect and function levels comparable to poor sleepers by the end of the day.
We say that is normal in if every sequence of functions contains either a subsequence which converges to a meromorphic function uniformly on each compact subset of or a subsequence which converges to uniformly on each compact subset of.
This means that the valuation function v treats modal formulas as atomic (interprtetations for S2 or S3 are special cases of interpretations for S0.5: those cases in which the valuation function uniformly treats the boxed formulas as false, etc., at non-normal worlds).
Since both ( f n ) n = 1 ∞ and ( C ϕ f n j ) j = 1 ∞ converge to the zero function uniformly on compact subsets of D, the limit of the latter sequence must be zero.
