To these highly intuitive conditions, Hempel added that, since logically equivalent hypotheses have the same empirical content, whatever confirms one member of a set of logically equivalent hypotheses must also confirm the others, which he called "the equivalence condition".
Among evidentially equivalent hypotheses the ratio of their posterior probabilities equals the ratio of their priors: Pα[hj | b·cn·en] / Pα[hi | b·cn·en] = Pα[hj | b] / Pα[hi | b].
Although statistically similar, it is important to note that moderated mediation and mediated moderation are not equivalent hypotheses when viewed conceptually.
The modified effective equivalent strain hypothesis (MEES) for ductile materials renders a satisfactory evaluation of the in- and out-of-phase test results.
The equivalent strain hypothesis according to von Mises correlates the fatigue lives of the different stress states within the scatterband of two.
The comparison of lifetimes from uniaxial and biaxial-planar tests shows that the equivalent strain hypothesis according to von Mises correlates the fatigue lives of the different stress states within a scatter band of two.
Among the investigated methods, the most reliable results are obtained with the effective equivalent stress hypothesis, an integral interference plane oriented method, which transfers the results of complex loadings onto the safe side of the reference scatter band for pure bending.
Despite highly divergent amino acid sequences between plastid acpP paralogs (28 35% amino acid identity), differential retention of just the acpP2 copy in Asterionellopsis suggests that the two genes are functionally equivalent, a hypothesis that would be further supported if acpP1 is not found in the Asterionellopsis nuclear genome.
An application of several state-of-the-art equivalent stress hypotheses utilizing the critical plane approach is presented and the estimated results are compared to the experiments in terms of high-cycle fatigue resistance and crack initiation angle.
