Sentence examples similar to supplementary proof for the from inspiring English sources

The appearance of C O vibrations at 1100 1000 cm−1, belonging to –CH2OH from EA was a supplementary proof of salt formation.

That is, where the covariance matrix D can be computed by our code, and are derived in Appendix2.pdf of the Supplementary Material, which provides a proof for the convergence of the centered r g to a normal distribution.

The CGI scores and BfS scores were defined as secondary outcome measures and systematically reviewed for a supplementary proof.

Perhaps you can furnish some supplementary proof.

If T generates F then for all samples p ∈ [ m ] and mutations j ∈ [ n ], (2) f p j ≥ ∑ v k ∈ δ (v j ) f p k. See the Supplementary Appendix for the proof of the sum condition.

The NP hardness proof follows a reduction from the minimum set cover problem (See the Supplementary Materials for the detailed proof).

See Supplementary Appendix 2 for the proof.

In different universities I have taught all the "proofs" for God: the ontological proof, the teleological proof, the cosmological proof.

13321_2011_337_MOESM1_ESM.PDF Additional file 1: Supplementary Material for the article.

There are some following supplementary ideas for the similarity search.

Formally, the proof has the same structure as the proof for Ackermann set theory.