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The general natural gradient descent can be validly applied to determined algorithms (m=n) only.
Soil taxonomic systems can be validly applied with fixed depth maxima as long as full-context genetic interpretations are made prior to and independently of the classification.
Thus, the 11-item version can be validly applied as both a pre- and a posttest to reflect learning progress.
What remains missing, however, is an efficient and fair test of conceptual understanding that is adapted to the content taught to secondary school students and that can be validly applied as a pre- and posttest to reflect change.
The construction and evaluation of the instrument enabled us to create a fair, user-friendly, short, and exact test of conceptual knowledge (fair measurement and efficiency) that is adapted to the content taught to secondary school students (content validity at secondary school level) and that can be validly applied both as a pre- and posttest to reflect learning progress (valid change measure).
They also suggest, however, that once a model is developed for a specific ethnic group, it is likely that it can be validly applied to individuals in other subsets of the same or a closely related ethnic group, further suggesting that if a highly predictive model could be developed it would be clinical useful.
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Nor can existential generalization always be validly applied to sentences reporting beliefs, since from the fact that John believes that angels have wings, it does not follow that there are things such that John believes of them that they have wings.
Since Herzberg's research presented a possible key to the motivation problem in TI, the company was eager to test whether his theory could be validly applied to its own workers.
The treatment may be validly applied to scatterers whose boundary surfaces must have no sharp corners or edges which will introduce a discontinuity in the direction of the unit vector normal to the core and/or outer coat surfaces.
However, measures of emotional/behavioral impairment and emotional fluidity expectancies can be validly compared across gender and Hispanic national groups.
Our findings suggest that vitamin D deficiency is unlikely in the two seasonal subpopulations of noninstitutionalized adolescents and adults that can be validly assessed in NHANES III.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com