Sentence examples for equivalences I from inspiring English sources

The equivalences (i) (iii) (iv) are proved in Proposition 3.8.

This increase is due to a higher number of PB-PB equivalences (i.e., number of PB aligned with another PB and not a gap), and/or a change in the nature of PBs aligned at various positions in the alignment.

If the models did appear to significantly differ, then the LM test was used to identify the paths that should be released to improve measurement equivalence, i.e. to identify the paths that were not equivalent.

He carried out a series of studies on the subject, the most notable of which was an experiment testing the principle of equivalence (i.e., that the gravitational mass of a body is equal to its inertial mass) that forms the cornerstone of Einstein's concept of gravitation the general theory of relativity.

The proof of the equivalence (i) ⇔ (ii) appears implicitly in [7], Corollary 3.3.

The equivalence (i) ⇔ (iii) in Theorem 5 is included in Rakotondratsimba's paper [5], where the proof of the admissibility of M can also be found.

Let (x propto overline {gamma }^{-eta }) denote the exponential equivalence, i.e., x achieves diversity of order η, where (overline {gamma }) stands for the general average SNR.

Optimally, these algorithms will be able to find the smallest possible reduced MDP for any given input MDP and notion of equivalence (i.e., find the "minimal model" for the input MDP).

We found six classes of equivalence (i.e., groups of optimal scenarios with the same inversions but in different order).

It has been suggested that quality assessments should include the three levels of equivalence, i.e., pharmaceutic, therapeutic, and bioequivalence [ 18].

The only exception we found was the study conducted by Aboim (2010), who performed tests of construct equivalence (i.e. of configural invariance).