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The general natural gradient descent can be validly applied to determined algorithms (m=n) only.
Examining the reliability of morphological measures is critical before the measures can be validly used to investigate inter-individual differences.
Thus, the 11-item version can be validly applied as both a pre- and a posttest to reflect learning progress.
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.
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.
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This argument has also been criticized as being too permissive and as constituting in effect a license for wishful believing, but its basic principle can perhaps be validly used in the context of basing beliefs upon one's religious experience.
But, as with the questions we started with today, it is a question which can now be validly asked.
Additionally, FSFI can only be validly interpreted for individuals experiencing sexual activity in the past month.
Such context-specific information, e.g. on activities and participation or on environmental factors, can only be validly assessed if a variety of data from different occurrences or specific settings is compared and validated.
How can these elements be validly and reliably measured so that it is clear when they are present or absent?
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com