Sentence examples for by considering the proposition from inspiring English sources
Then any possible function other than a matrix is derived from a matrix by means of generalization, i.e., by considering the proposition which asserts that the function in question is true with all possible values or with some value of one of the arguments, the other argument or arguments remaining undetermined".
Lastly, the critical plane approach was investigated by considering the propositions made by Findley and Matake.
This was developed from a wide range of sources to explain the coherence of texts by considering the functions propositions aim to achieve through the relations they contain.
Hence, by considering the meaning and conditions of Proposition 2.1, we obtain the following theorem as one of the main results of this paper.
Thus, by considering the meaning and conditions of Proposition 2.3, we obtain the following theorem as another main result of this paper.
The performance criteria presented in (I) and (II) can be individually examined in the form of propositions by considering the positive association of project selection with customer satisfaction (P18a), competitive advantage (P18b), financial performance (P18c), learning benefits (P18d), and cross-functional collaboration (P18e).
By using the corollary 15 (appendix A) we know that R i - λ i R∞ = O(ν i ) (15) uniformly in i so we finally get for all α uniformly for all n ≥ α and the proposition is then proved by considering the first component of equation (16).
By considering the mapping in Remark 3.5, we note that the converse of Proposition 3.7 is not true (see [4]).
Proposition 2 follows by considering this results followed by considering the cut-set bound [17] applied to the cut that divides MSs and BSs or equivalently by assuming a perfect conferencing phase, where each th active MS is able to exchange the local message with all the other active MSs in other cells.
