Sentence examples for for nonlinear functions from inspiring English sources

For nonlinear functions one can linearize the function and use the linear error propagation approximation.

Particle swarm optimization (PSO) is a stochastic optimization method for nonlinear functions based on the reproduction of social behavior developed by Berhart and Kennedy [5, 6] in 1995.

The developed technique applies to both locally Lipschitz as well as monotonic nonlinear systems, and allows for nonlinear functions in both the process dynamics and output equations.

However, since the right-hand side of (3.1) is not of the form 1 2 ( d ( x, u ) + d ( y, v ) ), specially for nonlinear functions ψ, then it is not possible to apply the method [33].

The main reason for using this technique is the accurately finding relationships between the parameters of input and output even for nonlinear functions due to its ability to employ learning algorithms (Aghbelagh et al. 2013; Aïfa et al. 2014; Esmaeilnezhad et al. 2013; Pilkington et al. 2014).

We give a proof that the expression in square brackets in (4.8) is nonzero (actually strictly positive by inequality (3.2)) for nonlinear function.

Assumptions ((A_{1}))-((A_{4})) for nonlinear function (f x,y,v)) are introduced and two basic reproduction numbers (R_{0}) and (R_{1}) also are defined.

What is more, for nonlinear function, UKF algorithm can greatly improve the accuracy of the calculation in practical applications, if we apply the UKF algorithm to the method in [20], the issue would be a preferable basis for data fusion in the future and may have great significance for practical applications.

The best-fit model included the power −0.5 for Prx4 (p for nonlinear function <0.0001).

PSO has been used to solve several types of optimization problems [ 15], including function optimization and parameter optimization [ 16] and shows promise for nonlinear function optimization [ 17– 22].

The convergences to the minimum of zero for a number of nonlinear functions have also been demonstrated for all the optimization processes.