Sentence examples for use a linear approximation from inspiring English sources

In the following discussion on the retrieval error, for simplicity, we use a linear approximation (the Jacobian is calculated with the a priori).

It is however possible to use a linear approximation for B ˆ c near the frequency expectation value of h c, that is, at the point ω = 1 : − i sgn | ω | c = − i sgn − i c ( ω − sgn + O ( ω − sgn 2, (62).

In the k-th predictor step, we use a linear approximation to predict with the current active set: (5) We also assume that the active set does not change during each corrector step.

Using a linear approximation leads to the process costs function shown in Eq. (6).

In Section 3.3 we mention that probability values are derived from method scores using a linear approximation.

The problem is further modified to design robust beamformers for any lp ball uncertainty region by using a linear approximation.

In practice, using a linear approximation turned out to lead to sufficiently accurate results for all incorporated methods (see Section 3.5).

Besides showing why it is important to introduce the thermoelastic damping in the design of MEMS, we present simulation results that demonstrate the differences that appear when a realistic nonlinear analysis is considered instead of using a linear approximation.

Closed-form solutions to compute the annual failure probability have been proposed in the context of seismic hazard using a linear approximation in the logarithmic scale for the hazard curves.

Before summarising the differences in outcomes we note that they come about due to the fact that while we study the non-linear system (1) the results in [17] are obtained using a linear approximation of (1).

Missing values were extrapolated using a linear approximation with respect to measurement's date and time.