Sentence examples for solutions illustrated from inspiring English sources

The closed-form solutions illustrated by Fourier series expression are given in Part I of this paper.

T test is applied to compare the solutions illustrated in Table 2.

Does the coexistence between oscillatory solutions and decaying solutions, illustrated in Example 3, occur also when (alphaneq1) (and (beta>alpha))?

All three solutions illustrated different convergence trends before attaining a steady state: DC products took 5.2 h, IRC (GRG) products took 3 h and IRC (CNT) as well as FCB products took 2 h.

The developed analytical solutions illustrate the influence and quantify the magnitude of the solute transport in the radial direction.

Plots of these solutions illustrate graphically the influence of internal damping.

The solutions illustrate that the translating beam has multiple stable equilibrium states in the supercritical speed regime.

Analytical solutions illustrate the significance of the elastic material properties, layer thickness, and surface topography (roughness) on global parameters such as normal load and real contact area.

Under a single wavelength excitation at 365 nm, the CD solutions illustrate asymmetrical emission spectra, which could be fitted by dual-emission fluorescent bands centered at 450 and 500 nm, corresponding to blue and green fluorescent bands, respectively.

Both these solutions illustrate the need to understand the underlying GPU architecture for high performance, even on the latest Fermi GPU designed for general-purpose computing.

The graphical method of solution illustrated by the example in the preceding section is useful only for systems of inequalities involving two variables.