Sentence examples for proof of the relation from inspiring English sources

As further proof of the relation between HyLIMPs and LIMPs, a HyLIMP decanucleotide-like sequence was found just left of LIMP #11 (see Fig.  2a), and the loop of HyLIMP #3 resembled that of the LIMPs (see Fig.  5).

Finally, a proof of the intrinsic relation between the ion current at the cathode and the deposition rate has been shown, finding a linear relation between these two quantities.

First, we give an alternative proof of the limit relation (1.4) including the existence of the limit in (1.3).

So as long as the proof of the equiconvergence relation is carried out by means of the contour integration, we obtain the uniform convergence of the series (2.20).

On differentiating (mu_{n,m}(x)) with respect to x, the proof of the recurrence relation easily follows; hence the details are omitted.

The proof of the equivalent relations of, and can be found in [3].

The proof of the equivalent relations of can be found in [1, 2, 4, 5].

Standard type appeared in [22]; this paper contains a self-contained proof of the defining relations of the Nichols algebras of Cartan type at a generic parameter, i.e. the sufficiency of the quantum Serre relations.

In Additional file 1: Appendix 4, we show a proof of the following inclusion relation: E T ∐ D T | C ⇒ E ∐ D T | C ⇒ E ∐ D e = 1, D e = 0 | C ⇒ E ∐ D e | C for ∀ e The subtle differences between ET ∐  DT| C and E ∐  DT| C are described graphically in the section entitled "Extended causal diagrams integrating response types".

1. Probably the best all-purpose understanding of what logics are would take them as equivalence classes of proof systems under the relation of having mutually interderivable rules, though even this ignores issues about translational equivalence across differing languages.

One--Neil Ferguson of Imperial College London--says there is no proof that the relation between travel and timing of the flu season is causal.