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However, the relative strengths, limitations, and applicable ranges of these approaches have not been clearly defined in the past.
For most applicable ranges, there are some useful figures in which the value of E i can be determined knowing x (Ahmed 2011).
The divisions between the applicable ranges of different approximated equations are also established so that errors of the simplified formulae can be minimized.
Applicable ranges of aforementioned adhesion parameters are interpreted in terms of the effective surface separation, obtained as the sum of the effective distance range of the adhesion force and the elastic deformation induced by adhesion.
The set of equations displayed in Table 4 can form a good basis for designing an optimal cycle, where the effect of each of the operating parameters on each of the performance parameters has been exclusively demonstrated in this mathematical form along with the applicable ranges of these two parameters regardless of the values of the other parameters.
These parameters are presented in Table 1, and instead of giving biologically applicable ranges, the authors use particular values.
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Compared with the known approximate solutions published in the literature, the proposed solution has a briefer expression, higher accuracy and wider scope of application, which extends the applicable range of the analytical result to low reflective feedback mirror configurations.
So the applicable range of temperature is 60 90 °C.
Therefore, the applicable range of pH value is 6 9.
However, these three methods' applicable range is limited.
Otherwise, the nonlinear characteristics of the equations also limit the applicable range of the analytical solutions.
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