Sentence examples for system equation with from inspiring English sources

After transforming the problem into a second-order system equation with remainder term, an adaptive second-order Arnoldi method is applied for the reduction of the computational complexity of structures, incorporating classical free- and constrained-layer damping treatments.

The gist of the new numerical method is to replace the coefficient matrices [A] and [B] in the system equation with the particular solution matrices which are formed of the particular solutions generated by fabricated sources.

Classical OLS is inefficient in estimating system equations with dependent variables that exhibit a dichotomous response.

This is often done by choosing a local coordinate chart and writing the system equations with respect to (w.r.t).

Specifically, the task is initially posed in relation to one of the two terms of an S-system equation with M species (e.g., metabolites), either the production term vector P T i (t n ) = α i ∏ j = 1 M X j (t n ) g i j or the degradation term vector D T i (t n ) = β i ∏ j = 1 M X j (t n ) h i j, which are both defined for each metabolite i at a series of N time points t n.

The system equation (2.1) with -periodic is called a pendulum-like system.

Correspondingly, 100 time points for X1 and X2 and its correspondent slopes S1 and S2 were generated by numerical integration of the 2-dimensional system (Equation 2) with X1 0) = 3 and X2 0) = 1 as initial conditions.

Parameter estimation is necessary in several fields of science and engineering as many physiochemical processes are described by systems equations with unown parameters.

The present study proposed a simple method for constructing a mathematical model for a metabolic reaction network, named the PENDISC method, in which the number of parameters to be estimated is reduced by use of non-dimensionalized S-system equations with constraints, and then investigated its performance using three mathematical models.

The system equation is obtained with Hamilton's principle.

To illustrate planar canards, consider system (Equations 1a-1b) with fixed parameters a = − 1.3, b = − 0.3, ε = 0.05.