Sentence examples for used the linear form from inspiring English sources

In this study, Langmuir and Freundlich isotherms were used; the linear form of the Langmuir model is (Brown et al. 2000).

The authors used the linear form of pseudo first and pseudo second-order models to explain the biosorption of zinc ion in liquid phase on the surface of Geobacillus toebii and Geobacillus thermoleovorans.

Using the linear form of the governing differential equations and considering the effects of non-linearity of the governing equations, the Green's functions have been derived exactly and verified in both Laplace transform and time domains.

The obtained Green's functions have been derived exactly, for the first time, using the linear form of the governing differential equations and considering the effects of non-linearity of the governing equations and have been verified in both frequency and time domains.

The bandgap energy (E QD) of the synthesized nanoparticles was estimated using the linear form of TAUC relation for direct bandgap semiconductors (Eq. 2) [25] that relates the absorption coefficient and the photon energy (hν) using a band form parameter (B).

b Evolution of a gaussian bump surface profile using the linear form of the evolution equation (top) and nonlinear term included (bottom), showing the influence of the nonlinear term.

The Redlich Peterson isotherm constants, (K_{text{R}}),(a_{text{R}}) and (beta), as well as the (r^{2}) for present adsorption system were obtained using the linear form of isotherm and presented in Table 2.

The superconvergent property of the beam element is shown by comparing the convergence rate of this beam element to the reduced integrated FSDT beam element formed using the linear shape functions.

The Temkin isotherm model has been used in the linear form as shown in Eq. (7).

The Temkin isotherm has been used in the linear form as follows: q_{text{e}} = frac{RT}{{b_{text{T}} }}ln K_{text{T}} + frac{RT}{{b_{text{T}} }}ln C_{text{e}}.

Refolded material was purified by RP-HPLC under conditions used for the linear form.