Sentence examples for completeness of paper from inspiring English sources

I think that for completeness of paper it would be good to clarify: 1.

Two case studies are discussed for the completeness of the paper, showing how the method and the quality indexes can be used in practice.

For completeness of our paper, we sketch the proof.

For the completeness of the paper, we give proofs below.

For the sake of completeness of the paper, we recall several pertinent notions and fundamental results.

The rest of the proof follows from the proof of proposition 1 in [18] and we provide the details for the completeness of the paper.

For convenience of the readers and completeness of the paper, we recall the following basic concepts and results for the calculus on time scales.

holds for every y ∈ ( 2 B ) c and f ∈ M p, λ ( w ), where ( 2 B ) c = R n ∖ 2 B. Proof The proof of Lemma 2.4 has a root in [30], which we adopted here for the completeness of this paper.

For the completeness of this paper we describe the approach with some improvements in the following.

46 The inclusion of additional reported items to improve accuracy and completeness of filter paper studies could greatly improve consistency and clinical use of the results (Table 6).

For the self-completeness of this paper, we also present our MapReduce algorithms to compute the frequencies of word-pair.