Sentence examples for using a linear approximation from inspiring English sources

Jülicher and colleagues first solved the sperm equation analytically using a linear approximation corresponding to small displacements2, but a full, nonlinear solution was subsequently shown to predict similar waveforms3.

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

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.

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.

In this work, we use a linear approximation to the dependence of the fitting procedure on the weights, producing results that can be faster than repeated re-fitting by orders of magnitude.

This paper uses a linear approximation of Almost Ideal Demand System (AIDS) and extended AIDS models to investigate food consumption in Vietnam using the Vietnam Living Standard Survey (VLSS) in 2004.

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.