Sentence examples for but for small values from inspiring English sources

Equation 27 expresses ∆h/h as a hyperbolic function of ∆b/b, but for small values of ∆b/b, the function is almost linear, as shown in Figure 7.

For a given T, mean and maximum within-cluster distances may, but need not be much larger for small values of F [53: p. 192], thus potentially allowing a better adaptation to cases where genetic divergence differs between morphologically defined lineages [55].

Mean estimates are accurate for the majority of cases, but deviate strongly from the true values for small values of r and q.

We still see a small systematic error for small values of h but not such that it would be problematic in a real data scenario.

But for smaller values of (frac{chi _{ell }^2}{nu _{ell }}) only for the minus sign of n we can obtain positive values of (mu ).

The multiband method performs better than the spectral eigenface method for small values of the rank, but performs worse for larger values of the rank.

For populations sourced from lower altitudes, the productivity values (overall- P ij ) increased for small values of DIST ij but then decreased for larger values.

As can be seen, this efficiency is approximately constant for small values of the absorption coefficient but starts dropping when absorption becomes comparable to the reduced scattering coefficient.

Overall, the properties of all methods but the mid- p approach where disappointing, in particular for small values of Π0 such as 0.05 for instance.

We also improve this bound for small values of d.

(For small values of, approaches a log utility).