Sentence examples for variation of solutions from inspiring English sources

In this article, we deal with the existence, uniqueness, and a variation of solutions of the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator.

The method was not used as a stand-alone technique, because it was reported by Cooper (2009) to produce a large variation of solutions.

Characteristic feature, the representation can vary from point to point across the thickness, in order to adapt to the variation of solutions.

In this paper, we no longer require the compact property in (1), the uniform boundedness in (2), and the inequality constraint on the range condition of the controller, but instead we need the regularity and a variation of solutions of the given equations.

Although computation of a single solution of the advection diffusion equation (ADE) is simple, in general it is prohibitively expensive to compute the parametric variation of solutions over the full parameter space Q, even though this is crucial for, e.g. optimization, parameter estimation, and elucidating the global structure of transport.

Several spinning techniques are used in the production of man-made fibre, including solution spinning (wet or dry), melt spinning, gel spinning (a variant on solution spinning), and emulsion spinning (another variation of solution spinning).

Also, in this case, the variation of solution pH reflected the degree of mineralization in this study.

The phase behavior in water of hydroxypropylcellulose (HPC and HPCC partially esterified with methacryloyl chloride (HPCM) has been studied by measuring the variation of solution turbidity in the temperature range −5 to 46°C.

The variation of solution temperature with the NIR irradiation time for the aqueous dispersions of Cs0.33WO3 nanoparticles with different particle concentrations obtained after grinding for 3 h is shown in Figure 9, in which the result for deionized water was also indicated for comparison.

The EQCM response in CO2/CO adsorption experiments is affected by both the effects connected with the changes in mass attached to the resonator and the non-mass effects including changes in metal solution interactions and variation of solution density and viscosity in the vicinity of the electrode.

Since the charge on peptides is dictated by the pH of solution, selective variation of solution pH can predictably induce a charge on the peptides of interest, which can be then exclusively extracted using dendrons of opposite charge.