It's noteworthy when gains at specific tasks generalize
to things that matter in daily living.
First, responding is assumed to generalize
from the sample and comparison stimuli in the reinforcement histories of Table 1 to the unfamiliar sample and comparison stimuli arranged in studies of stimulus equivalence.
Bresar introduced the definition of generalize
derivation on rings as follows: An additive map g: R [right arrow] R is called a generalize
derivation if there exists a derivation d: R [right arrow] R such that g(ab) = g(a)b + ad(b) for all a,b [member of] R (we will call it of type 1).
This suggests an alternative criterion by which to judge changes in student performance--namely, that achievement gains on test items that measure particular skills or understandings may be meaningful even if the student's overall test score does not fully generalize
to other exams.
According to this view, therefore, contingencies arranged for some subclasses may generalize
to all of the others.
Further, we will generalize
relative properties of such matrices to some more general cases, including the generalized m-power transformations.