Sentence examples for an extra assumption from inspiring English sources

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.

The result in [10], however, requires an extra assumption, i.e. the strictly star-shapedness of the outer boundary of the annular region, as recently pointed out in [11].

To obtain the blow-up rate of blow-up solutions to (1.1), we need an extra assumption that Ω = B R ( 0 ) = { x ∈ R N : | x | < R } and u 0 = u 0 ( r ), u 0 ′ ( r ) ≤ 0, here r = | x |.

If we impose an extra assumption that, roughly speaking, states that a fixed point of (mathbb {T}) must be a fixed point of T, then we obtain the desired result.

Second, we indicate that a certain WS network structure affects users' optimal strategy and facilitates stable cooperation without any extra assumptions.

Under this extra assumption, by a change of variable, one easily gets from (5.3) that (mathrm{det}nabla T x)=1) for a.e.

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).

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

The paper [37] used a fractional Taylor series for Caputo derivatives, namely the result of [31], to derive a new fractional Boussinesq equation, assuming a power law for the changes of flux in a control volume, as well as deriving a linear form of the same equation under an extra physical assumption.