Sentence examples for by using the conclusion from inspiring English sources

By using the conclusion of contraction mapping principle in Banach space, we complete our proof.

Recently, Chidume and Chidume proved the following theorems by using the conclusion that a uniformly continuous mapping on K is bounded.

By using the conclusion in Step 1 of Theorem 2.1 and the same technique as in the proof of Theorem 3.2 of Thakur et al. [9], we get the strong convergence result (Theorem 2.2).

By using the Schur complement lemma, the conclusion can be drawn from (16) and (17) that (mathbf{J}(n)<0).

Aristotle implicitly recognized that by using the conversion rules on the conclusions we obtain eight further syllogisms (An.

So, the conclusion is by using the Four-Hospitality standard, we will get the right public service facility to implement a smart city with friendly environment design for disability.

One can easily obtain conclusion by using the technique given in the proof of Theorem 2.8 [8].

Remark 4.1 We can also easily reach our conclusion by using the comparison principle.

As a conclusion, by using the data organization 2 at the input of the beamforming, communications by SRIO between the beamforming and pulse compression has been eliminated (Figure 19).

In conclusion, by using the new concepts of -weak contraction mappings and -weak contraction mappings, we obtain two theorems (Theorems 1 and 2) which assure the existence of a periodic point for these two types of weak contraction in complete generalized metric spaces.

In conclusion, by using the genetically encoded sensor, HyPer, we were able to examine generation and removal of H2O2 in various compartments of mammalian cells.