Sentence examples for In statement of from inspiring English sources

Example 9 proves that the contractive condition (10) cannot be deleted in statement of Corollary 14.

Example 10 shows that the contractive condition (11) cannot be deleted in statement of the preceding result.

We must emphasize that taking k = 1 and a 1 = 1 in statement of Theorem 9 we retrieve, as a particularcase, Theorem 5.

Moreover, setting k = 1 and a 1 = a for any a ∈ N with a > 1 in statement of Theorem 9 we obtain the followingcorollary.

Since Φ z ( u ) ⊑ s p u we obtain q B ( Φ z ( u ), u ) = 0. Hence, by assertion (1) in statement of Lemma 8, wefind that q B ( w, u ) = 0. Whence we deduce that l ⪯ ( w, u ) = ∞ and, hence, that w ⊑ s p u.

This is due to the fact that the assertion (4) in statement of Theorem 9allows to determine the lower asymptotic complexity bound for algorithms whose runningtime obeys equation (6) while that Theorem 5 does not allow one to do this.Consequently, the version of Theorem 5 retrieved from Theorem 9 improvesTheorem 5.

These research areas were summarized in statements of need, supporting rationale, and investment timeframe.

Joseph Raz rejected Hart's claim that normative terms have a distinctive meaning in statements of law.

Cardoso requested a retraction of O'Neill's remarks, which came in statements of support for Brazil by the White House.

They encode knowledge about a system in statements of the form 'IF (a set of conditions) are satisfied THEN (a set of consequents)'[29, 30].

In the process he concedes to Plato that if poetic mimêsis were indeed the mimêsis of characters it may indeed not issue in statements of epistemic merit.