Sentence examples for 1 satisfy from inspiring English sources

Assume that Φ 0 and Φ 1 satisfy (C).

Thus, the matrices in set (1) satisfy condition (iii).

Let ( f z in mathcal {A}(m) ) given by (1) satisfy the condition (16).

where {α n } and {λ n } are sequences in (0, 1) satisfy some conditions.

Let the LSE problem (1) satisfy the conditions given in (2).

Let the function g 1 satisfy identity (1.22), and the functional φ satisfy condition (1.20).

for every n ≥ 0, where { α n, i } n = 1 ∞ ⊂ ( 0, 1 ) satisfy the condition (iv).

Then we prove that (U_{1}) and (S_{1}) satisfy all the conditions in Lemma 2.4.

Secondly, we show that (A_{1}) and (B_{1}) satisfy all the assumptions of Lemma 2.8.

Let (Omegain H^{1}({{S}^{n-1}})) satisfy the cancelation condition (1.1) and (hinDelta_{gamma}) for some (1

Therefore, their inverses (h^{-1}) and ((h^)^{-1}) satisfy the same properties as h and (h^), respectively.