Sentence examples for by a linear superposition from inspiring English sources

Once the appropriate impulse response function is known, the output of that system for any object intensity distribution can be determined by a linear superposition of impulse responses suitably weighted by the value of the intensity at each point in the object.

A fast algorithm for the inverse scattering transform in terms of the hyperelliptic function representation is also given; solutions to the defocusing NLS equation are determined by a linear superposition of these nonlinear oscillation modes.

To emphasise the importance of nonlinear interactions, we tried to disambiguate the components of event-related potentials (ERPs) or event-related fields (ERFs) that can be explained by a linear superposition of trial-specific responses and those engendered nonlinearly (e.g., by phase-resetting).

For chemical absorption, the solution can be obtained by a linear superposition principle in terms of a "transie part" in which the effect of hydrodynamics within the liquid film is of importance and a "steady part" in which the reaction rate is controlling.

The initial tsunami height is configured by a linear superposition of the unit sources.

As such, it can be approximated by a linear superposition of kernels (basis functions) (1).

However, by forming a linear superposition of the ICs we identified the major contributions from the ICs on the miRNA expressions.

To this end, Segalman proposed a modal Iwan model, which simplifies the analysis by modeling a system with a linear superposition of weakly-nonlinear, uncoupled single degree-of-freedom systems or modes.

As in Eq. (1), the signal, sl arriving at gene l is a linear superposition

Note that the data model used in this article is simply a linear superposition of rank-one components superimposed by additive noise.

We can interpret Equation 1 as a linear superposition of all the PSFs, each weighted by the value of the underlying image at its location [25]: y 0 ( p 0 ) = ∑ p ∈ D x ( p ) P S F p ( p 0 ).