Sentence examples for and the hypotheses of from inspiring English sources

Let X satisfies condition (ii) and the hypotheses of Theorem  2.2 hold.

where Following the assumptions of the induction of and the hypotheses of the function one has.

Theorem 1 Assume that 0 < σ 0 < 1, and the hypotheses of Lemma  7 hold.

Then, as Kk ≤ 1, we have that I - k A k, j + 1 v, v ≥ k λ v V 2 and the hypotheses of Lemma 1 are satisfied.

Then, in the second section, the key factors of survival of the new company are reached and the hypotheses of our research are advanced ( Section 2).

end{aligned}In view of Theorem 2.10 and the hypotheses of Theorem 4.1 the inclusion of Hilbert spaces begin{aligned} iota : {fancyscript{H}}_q hookrightarrow L^2_{0,q}(Xi ) end{aligned}is a bounded linear operator.

Now, we shall show that for the primal-dual pair (EP) and (ED), the hypotheses of Theorem 3.1 hold.

We have also asked World Bank staff to use easy-to-use cameras to delve into the causes of conflict and explore the hypotheses of the WDR.

Putting for any fixed and, the mappings and satisfy all the hypotheses of Theorem 4.5.

Bose's Planck's Law and the Hypothesis of Light Quanta (1924) led Einstein to seek him out for collaboration.

But the very idea of arbitrariness, and the hypothesis of a frozen accident, have become problematic.