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The means and linear regression equation are demonstrated in Table 3 and Fig. 2.
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The transfer function J (n) = mσ a (n)/F (n) relating input to response acceleration of a single oscillator can be expressed as in Eq. (4) whereas the validity of this equation is demonstrated in Eq. (5).
Detailed derivations for Equations (12) and (14) are demonstrated in the additional file 3. A typical curve for the analytical distribution f T (t) of correlation ratio in Equation (14) is plotted in Figure 7b, also based on the data set of HS vs. HR.
The condition is actually necessary to achieve numerical solutions of the equation, as was demonstrated in [25 27].
Agreement between the modified equation and experimental results is demonstrated in this paper.
The following result is a sufficient condition for the existence of non-oscillatory solutions of equation (2) and it is demonstrated in the paper [35].
The proposed equations were demonstrated to be useful in estimating the effectiveness factor, particularly for the stable steady states, and also in quickly estimating the Thiele modulus range where multiple effectiveness factors should be searched.
The mass and charge continuity equations were demonstrated inside the electrodes and in the divergence term, surface ratios were used instead of more usual volumetric ratios.
This experiment is demonstrated in helpful online videos if you need assistance following the steps or solving the equations.
This is demonstrated in figure 3B.
Many will be demonstrating in the streets.
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