Sentence examples for complete the conclusion from inspiring English sources

for some j ∈ { 0, 1, …, n ( x ) }. Evidently, each C 2 -operator is a C 1 -operator as well so that if ( X, p ) is complete, the conclusion of Theorem 4.1 holds.

This implies that the basin of attraction of the equilibrium point E + is the set B ( E + ) = { ( x, y ) : x > 0, y > 0 }, and Lemma 7 completes the conclusion (d) of Theorem 1.

This result completes the conclusions when we analyze Figs. 1 and 4, where all common factors are helpful to reduce the forecast errors.

Finally, in order to complete the proof of conclusion (b), we need to verify that is a coupled fixed point of.

However, nearly half actually reduced their word count in the Template condition because the majority of these students did not complete the Discussion and Conclusion section of the template.

In summary, taking (L=min{frac{b-a}{4}, frac{M}{2}, L_{1}}), we can complete the proof of this conclusion.

In conclusion, we complete the proof.

The FT's Peter Spiegel makes the same point: Peter Spiegel (@SpiegelPeter) @fgoria Of course, draft conclusion said they would "complete" the single supervisory mechanism by end of 2012.

Applying Theorem 4.5 and Theorem 4.6, we complete the proofs of the all conclusions except (iv).

The closing of the sale of the 95 million shares is expected to be completed upon the conclusion of a shareholder notice period required by the NYSE, which is expected to occur on or about April 8 , 2008

The closing of the sale of the 95 million shares is expected to be completed upon the conclusion of a shareholder notice period required by the NYSE, which is expected to occur on or about April 8. JPMorgan Chase is a leading global financial services company with assets of $1.6 trillion and operations in more than 60 countries.