Sentence examples for I sufficiently from inspiring English sources

First, we note that, by (28), (Vert g_{k_{i}}^{T}h_{m_{k_{i}}} Vert leqslantvarepsilon) when i sufficiently large.

Since p i → p, choose i sufficiently large such that p − γ 2 ≤ p i ≤ p + γ 2. Then p + γ 2 ≤ p + γ.

Reliable detection is expected when the values of the decision variable at the synchronous (i.e., frame boundary) and asynchronous symbol positions are (i) sufficiently separated and (ii) distributed with small variances.

Then, because of Lemma 9, we obtain begin{aligned} biglVert g_{k_{i}}^{T}h_{m_{k_{i}}} bigrVert geqslantepsilon^{2}_{2} >0 end{aligned} for some (epsilon_{2} >0) and for all i sufficiently large.

Thus the criticality step ensures that the model (m_{k_{i}}) is a fully quadratic function on the ball (B(x_{k_{i}}, Delta_{k_{i}} )), with (Delta _{k_{i}}leqslantiota Vert g_{k_{i}}^{T}h_{m_{k_{i}}} Vert ) for all i sufficiently large (if (Vert nabla f_{k_{i}}^{T}h_{f_{k_{i}}} Vert neq0)).

end{aligned} Since ∇f is Lipschitz continuity, we see that the first term of the above inequality (Vert nabla f(x_{k_{i}})^{T}h_{f_{k_{i}}}-nabla f(x_{ell_{i}})^{T}h_{f_{ell _{i}}} Vert rightarrow0) and is bounded by (epsilon^{2}_{2}) for i sufficiently large.

Probably, the effect of this polymorphism on circulating IFGBP-3 levels (estimated in 6 9% of variation) (Jernstrom et al, 2001b; Schernhammer et al, 2003) is not sufficient, by itself, to alter amounts of bioavailable IGF-I sufficiently to lead to a substantial change in cancer risk.

Is it sufficiently transparent and accountable?

Is it sufficiently broad-shouldered to do so At first glance the answer is yes.

"Is it sufficiently exploratory?

Is it sufficiently accurate?