Sentence examples for extra assumptions from inspiring English sources

We identify a robust monotonicity condition that is necessary and (with mild extra assumptions) sufficient for robust implementation.

We identify a robust monotonicity condition that is necessary and (with mild extra assumptions) sufficient for robust implementation.

The proposed 2-BCD approach formulates the subproblem of joint beamformer optimization as a general second-order cone programming problem, which lends itself to standard numerical solvers and which requires no extra assumptions like previous works do.

The results in Section 2 are sharp but those require some extra assumptions on their boundary.

Because of these extra assumptions, the correlative duality theorems are various.

To adapt our protocol to the byzantine failure model, we make a few extra assumptions.

However, I added an extra assumption: that undecided voters would break by two percentage points toward Kerry.

A key point is that the SEV method has a narrower confidence interval than the GPD method for a given number of sample areas, because the SEV method makes an extra assumption about the form of the distribution of large inclusions.

In addition, the assumption that each value is closed has been relaxed without an extra assumption.

With the extra assumption that the given second-order operator is inverse positive we prove the existence of extremal solutions.

We claim that such a B does exist by our extra assumption that (V xi,t) = 0) and thus (Gamma= Gamma_{A} ) if (t > T).