Sentence examples for thus omitted from inspiring English sources

The numbers thus omitted are well worth hearing, especially when sung so well -- and played so well, by Eric Schneider.

Details are thus omitted.

The proof of the theorem is straightforward, thus omitted.

Their detailed evaluation results are thus omitted here.

The results on other datasets are similar, thus omitted here.

Proof: The proof is straightforward, and thus omitted.

The calculation is straightforward, thus omitted for brevity.

For the other cases the proofs are similar and thus omitted.

The proof is similar to that of Theorem in [35] and thus omitted.

The proof is a direct application of ([29], Th 10) and thus omitted here for simplicity.

The proof of this lemma is straightforward and thus omitted from the paper.