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

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.

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

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

(b) Suppose, in addition to the assumptions in Theorem  18, X is complete and rectifiably pathwise connected.

If, in addition to the assumptions of Theorem  28, X is complete and connected, then T has a fixed point.

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

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

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

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.