Sentence examples for by the difference equations from inspiring English sources
Discrete systems exist in the word widely and most of them are described by the difference equations.
The recombination-selection dynamics was defined by the difference equations given in Additional file 1.
This approach is based on a mismatch error between the required response and the one obtained by the difference equation defining the auto-regressive, moving-average (ARMA) model.
As a toy example, which is supposed to fail for illustrative purposes, a single-pole system, described by the difference equation y(n)=-a y n-1)+x(n), (7). is presented.
Fermat polynomials can be generated by the difference equation mathcal{F}_{i+2}(t)=3 t mathcal{F}_{i+1}(t -2 mat -2l{F}_{i}(t), qquadmathcal{F}_{i}(t)=0,qquadmathcal{{F}_{1}(t)=1, quad igeq0}
The system model defined by the difference equation (2) can be, easily, converted to a description by a discrete transfer function G z) from the control input U z) to the output V z) in the z -domain, given below: G z = V z U z = b 1 z + b 2 z 2 − a 1 z − a 2 (3).
The mutational process is described by the difference equation (1) Solving equation (1), we obtained (2) In the case of haploid organisms such as E. coli, the selection process is described by (3) where q n ′ is the frequency of a after selection.
It calculates simulation traces numerically based on the formulae discussed in "From a conceptual representation to a numerical representation" section, and in particular by means of the difference equations.
By approaching Δttowards zero, the difference equations become differential equations which can be numerically solved with standard algorithms.
Any attempt to obtain solution values up to the desired accuracies may land up in massive computing time despite a well-structured block-tridiagonal matrix of the difference equations received by the application of an upwind scheme and central differences.
