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The use of the above mentioned equation yields an activation energy of 125 kJ/mol, while the second model gives 248 kJ/mol.
The ANOVA of the quadratic regression model demonstrated the above mentioned equation is highly significant.
At the boundary conditions (qt = 0) at (t = 0), the above mentioned equation changes to (18) [45].
We formulate the principle which gives the guarantee that the graph of at least one solution of the above mentioned equation stays in the prescribed domain.
Antioxidant activities of these standard samples, evaluated according to the above mentioned equation after 300 s in the presence of DPPH, are 89% for the most concentrated solution, followed by 49% for the second one.
In the applied least square method the sum of the squares of the differences between the dα/dt values obtained from the above mentioned equation and values derived from the TG and DTG measurements, respectively taking into account that: α = ∆m/∆mtot and dα/dt = dm/dt)/∆mtot, attains its minimum values for the selected values of k0, n and Ea.
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By means of this scheme, we found some fresh traveling wave solutions of the above mentioned equations.
Using all the above mentioned equations in (7), SOP for proposed system model is given by (15).
Our main results can be seen as a generalization of the work in [12 14] and the above mentioned equations with non-instantaneous impulses.
We will use the following scaling for some of the parameters that appear in the above mentioned equations: omega leftarrow {omega}^{-1}{varepsilon}^{-1}, (56.1) mathrm{h}leftarrow {h}^{-1}{varepsilon}^{-1}, (56.2) Lleftarrow {L}^{-1}{varepsilon}^{-1}. (56.3).
The above mentioned equations have to be particularized for the considered simulations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com