Sentence examples for in addition to the assumption from inspiring English sources

Lemma 4.2 In addition to the assumption in Theorem  4.2, let h ( x ) be a convex function.

In addition to the assumption (C1 - C4), assume that (K+theta(L_{phi}+L_{psi})<1), then the system (1) has a unique solution.

In addition to the assumption of statistical independence between frequency bins, 2R+1 successive frames are also assumed to be independent.

This was done so, to show that the interpolated CM4 UWB WBAN channel was able to produce 1° resolution channel, in addition to the assumption that shifting 1° angle of direction would not change the channel characteristic significantly.

Under the principles of human rights and rule of law, as well as on the basis of equality and consultation, the significance of East Asian integration consists in facing the history, historical ties and cultural heritage fully and independently, in addition to the assumption of the present and future needs, as well as the responsibilities and obligations which have to be taken in joint effort.

In addition to the assumption that differentiating progeny cells exist in the X2 fraction, it is clear that there are irradiation-sensitive transcripts and cells outside of the X1 and X2 FACS gates.

Suppose, in addition to the assumptions in Theorem  1, X is complete and rectifiably pathwise connected.

In addition to the assumptions of Theorem 4.1 suppose that v → 0 as | ξ | → ∞.

In addition to the assumptions of Theorem  3.1, we suppose that condition (HL) holds.

In addition to the assumptions of Theorem  1, suppose that the conditions ((H_{5})) and ((H_{6})) hold.

Theorem 2.3 Suppose, in addition to the assumptions in Theorem  2.2, X is complete and rectifiably pathwise connected.