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These intensities were fitted well with the Arrhenius equation (shown in Fig. 3).

Inventory reconciliation equation shown in formula (16) can be established in the dynamic stability condition.

The estimation for the nanoparticle sizes was followed with Debye-Scherrer equation, shown in formula (1).

The pseudo-first-order kinetic model is represented by the non-linear equation shown in Eq. 6 [44, 45] 45].

Means and log standard deviations are estimated using the maximum likelihood estimation equation shown in Eq. (5).

For the example in equation (20), the parallel solution compares well with the exact analytic solution to the fractional partial differential equation shown in Figure 2.

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Regression equations shown in Table 5.

The various attributes of equations shown in Table 1 are compared below.

The solutions of Hamiltonian dual equations shown in canonical variables are obtained.

Values of C wt for shear strength equations shown in Table 1 are a function of y/b f.

The simple algebraic equations shown in the schematic (Figure 4) can be used to estimate the approximate zonal drift speed.

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