On one hand, already in the Betrachtungen Bolzano pointed out that he "could never be satisfied with a completely strict proof if it were not derived from the same concepts which the thesis to be proved contained" (Russ 2004, 32).
bA sequence is considered of hq if it is not derived from contaminant species and its vector-trimmed and poor-quality-trimmed PHRED 20 length is >100 bases.
Aquinas held that if positive law is not derived from valid moral principles in either of these two ways, then, to recall Augustine's slogan, such laws are "unjust" and fail to be "law".
As noted by several authors (DiGiuseppe 1981; Manassis et al. 2004), such adolescents may regard the use of coping self-statements as less useful if these statements are not derived in the context of cognitive restructuring.
†In Study 1, sample size varied for each individual health state because a specific utility value was not derived if a respondent believed that health state was worse than being dead.
Even if the large data are not derived from full waveform captures in the future, the developed methods for the management and evaluation of large data will be needed, e.g., for the handling of a high number of measurement locations, since existing methods are not able to scale with rapid data growth.
Complete follow-up of all patients is crucial to avoid selection bias, which can easily arise if information on SMNs is not derived from linkage with nationwide cancer registries, but from patient questionnaires or medical records.
In other words, we have not derived fail if T ⊃ S and T is admissible in F. By definition, S then cannot be a preferred extension of F. The remaining rules (25)–(27) saturate the guess in case fail was derived, and finally ensure that fail has to be in an answer set.
He listened to my views on socialized health care as if they were my own and not derived from those of my parents.
If the planned sample size is not derived statistically, then this should be explicitly stated along with a rationale for the intended sample size (eg, exploratory nature of pilot studies; pragmatic considerations for trials in rare diseases).
