Sentence examples for approximation whose from inspiring English sources

A powerful tool to manage the matrix exponential function is to resort to a suitable rational approximation, such as the Carathéodory Fejér approximation, whose core reduces to solving some shifted linear systems with multiple right-hand sides.

Without designing a controller depending on new operation modes (NOMs), a kind of controller only depending on the original operation modes (OOMs) is proposed and satisfies a minimum variance approximation, whose solvable conditions are also with LMI forms.

The equations are based on the high-frequency geometrical acoustics approximation, whose application in the present context was justified in early studies by Morfey and Tester in 1977 and by Amiet in 1978.

If f ' is increasing, then the tangent line to f at x0will go under the f curve at between x and x0, so that the linear approximation, whose curve it is, will hit zero between x and x0, and the same thing will be true in each iteration.

This provides an approximation whose support is restricted to the particles produced at time i by the backward particle filter.

On the other hand, fixed point iteration is a method of computing fixed point of iterated function, it is a well-known method of approximation whose version is the variation iteration method, see [9, 10].

It seeks numerical approximations whose L∞-distance to the viscosity solution is no bigger than a prescribed tolerance.

In many cases, the relationship (30) between Poisson-Tweedie mixtures and Wright function (6) makes it possible to derive the leading error term of our local approximations whose role in applications is yet to be determined.

We answer this question in the affirmative by presenting a randomized approximation algorithm whose approximation ratio is 1−(1−1ℓ−ε−ε.

Because of the high time complexity of the LP-based method, Bar-Noy et al. [13] also provide a combinatorial approximation algorithm whose approximation factor is (3+2sqrt {2}).

However, interpreting such measurements immediately implies the use of the Derjaguin approximation, often referred to as the Proximity Force Approximation (PFA), whose validity has always been a matter of endless debates [14].