Sentence examples for refinement of proposition from inspiring English sources
Furthermore, it can be noted that this result is a refinement of Proposition 3.5 of [14] and if we set (h=0) in the above corollary then we get a more refined result than Proposition 3.5 of [14].
Moreover, observations show that Theorem 3 of [17] is a special case of Corollary 3.4, in addition to results of the present article there is a refinement of Proposition 3.2 in [14].
Further we note that our result is also a refinement of Proposition 3.2 of [14], and if we set (h=0) in the above theorem then we get a more refined result as compared to Proposition 3.2 of [14].
Herd health management is characterized by an iterative process of refinement of concepts and propositions [ 2, 19].
The following proposition is a refinement of the inequality in Theorem 3.4(2).
Therefore, the conditions of Proposition 3 are more constraining than the ones of Proposition 1.
Hence, the solution of Proposition 3 is more conservative than the one of Proposition 1.
The proof is a refinement of that of Theorem 3.3 given in Section 3 and [34, Theorem 3.3] together with Proposition 3.2.
To illustrate the power of our propositions, classical operations segmentation of a planar image, point location in a planar subdivision and refinement of a map are revisited, easily specified and debugged on the quasi-map structure.
Refinement of the script.
