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The obtained formula is, however, very complicated.
The obtained formula for Te allows to calculate the fin base thermal conductance and augmentation factor.
Moreover, by taking an additional condition on the modulating functions, the term biasing the output can be eliminated in the obtained formula.
Unlike the improper integral in the definition of the fractional derivatives, the obtained formula can be given by proper integrals by choosing appropriate modulating functions.
To confirm the accuracy of the obtained formula, a statistical analysis was also conducted on the ANSYS results and other existing formulas.
If we impose the condition (G_{4} x,0)=0) the obtained formula will include the value of the first derivative at the end points of the interval and is known in the literature as a corrected quadrature formula.
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The obtained formulas allow comparatively easy computer programming.
In verification tests, the experimental performance of the obtained formulae closely matched the model predictions.
With the obtained formulas we analyze in detail what we see through a cleavage calcite crystal.
It is solved, and based on the obtained formulas one gets the general solution.
The obtained formulae are tested numerically and compared to known approximations.
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CEO of Professional Science Editing for Scientists @ prosciediting.com