Sentence examples for a suitable limiting from inspiring English sources

The answer, again, is to set up a suitable limiting process that approximates the desired area with simpler regions whose areas can be calculated.

We may further assume, without loss of generality, − ∞ < a < b < ∞, since a uniform estimate independent of a and b will allow us a suitable limiting argument.

Deriving a suitable limit for ( M t n ) t ≥ 0 is what we set to do next.

Finally we identify the limit of (w_{varepsilon }) as the solution of the optimality system related to the homogenized problem with respect to a suitable limit cost functional.

Remark 3.1 In the case of multiple roots, we can also have the Green function by taking a suitable limit in (3.3).

One can compute the perturbation coefficients which are (theta ) independent for (-itheta in (0,tfrac{pi }{2})) and then take (-itheta ) to 0. One gets a suitable limit of (- Vvarphi,SVvarphi )) where S is a reduced resolvent.

The main result of this paper proves that the optimal control of the ε-problem, which is the unique minimum point of a quadratic cost functional (J_{varepsilon}), converges to the optimal control of the homogenized problem with respect to a suitable limit cost functional (J_{infty}).

Specifically to the nanodefinition, a DLS polydispersity index of 0.1 was suggested as a suitable limit above which DLS data can no longer be interpreted accurately (Baalousha and Lead 2012).

This analysis enables the various strands of the paper to be brought together and provides an example through which it is possible to discuss suitable limiting values for the plastic volume fraction.

Numerical values of this bound shown in Section 6 have been obtained by performing a grid-search over the (ρ,θ o ) space where 0≤ρ≤1 and 0≤θ o ≤θ o,max (a suitable upper limit) to determine the minimum of (37).

IGV uses heuristics to determine a suitable upper limit on the genomic range that can be loaded quickly with a reasonable memory footprint.