Sentence examples for be represented as linear from inspiring English sources

It is well known that certain discrete- and continuous-time stochastic processes have autocovariance functions which can be represented as linear difference or delay-differential equations (see, e.g., Küchler and Mensch [3]).

Considering the fact that the micro-structures of images can be represented as linear combination of atoms in the pre-trained dictionaries, we utilize the sparsity of combination coefficient to solve the inverse problem.

These models can be represented as linear regression models allowing us to directly compute the best-fit parameters from the data.

In what follows, we show that based on a recently developed tool based on the "semi-tensor product", Boolean networks can be represented as linear discrete systems, and consequently the mRNA translation process can be modelled as a PBN which can be rigorously formulated and computationally solvable.

The principle underlying the SRC algorithm is that testing samples can be represented as linear combination of training samples if the testing and training samples belong to the same category so that the representation coefficient of a testing sample under all training samples might supply sufficient information to determine the category of the testing samples.

With the EMD approach, s(t) is represented as linear superposition of IMFs imf i (t) and the residue r N (t).

As noted above, one underlying assumption is that the voters' actual desires about who should win the election are represented as linear preference relations over the set of candidates.

Modelling and control is considered for both spatially invariant and spatially varying systems; in the latter case the system is represented as linear parameter-varying (LPV) system that is scheduled not over time but over space.

Chromosomes are represented as linear sequences of genes and homologies between genes are defined by the bitscores from all vs. all BLASTP searches [22] among all species of interest.

These curves are represented as linear combinations of cubic B-spline basis functions with only very general smoothness assumptions.

Formally, the complexes are represented as linear combinations of the species, i.e. (2) C i = ∑ j = 1 n α i j X j, i = 1, …, m, where α ij are nonnegative integers and are called the stoichiometric coefficients.