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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.
This newly obtained formula results in the fact that by taking p-norm, ∥ A x ∥ p ≤ ∥ A ˜ y ∥ p + | l | ∥ ( a n ) ∥ p < ∞.
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The obtained formulas allow comparatively easy computer programming.
Analytically obtained formulas are compared to those obtained through the finite elements method.
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.
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CEO of Professional Science Editing for Scientists @ prosciediting.com