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In 2006, Hong [8] first published a multidimensional Hilbert integral inequality by using the transfer formula, which is an extension of (3).
In this paper, by using the transfer formula and applying the method of weight functions and the technique of real analysis, we give a multidimensional Hilbert-type integral inequality with multi-parameters and the best possible constant factor related to the gamma function.
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The values of the heat transfer coefficient obtained using the heat transfer formulas for the Nusselt number, determined with the CFD simulations, can be directly implemented in the thermal designing procedure of the cross-flow heat exchangers.
In this paper, by the use of weight coefficients, the transfer formula and the technique of real analysis, a new multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of some published results.
In this paper, by the use of weight coefficients, the transfer formula and the technique of real analysis, a new multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of (4) and (5).
Next, the transfer formula will be invoked.
The transfer efficiency of reactions was calculated by comparison of values of donor extension products and transfer products using the following formula: transfer efficiency = 100 × TP/ TP + DE).
CO2 transfer rate was calculated using the following formula: mathrm{C}{mathrm{O}}_2kern0.5em mathrm{transfer} mathrm{rate} = {Q}_{mathrm{gas}}* mathrm{Percentage} mathrm{of} mathrm{C}{mathrm{O}}_2*kern0.5em 10.
In order to correct for a passive transfer of MMP-9 and CxCL-13 we calculated a ratio using the following formula: MMP-9 ratio = MMP-9 CSF/MMP-9 Serum.
Using the quadratic formula, (D.3).
Using the SDA formula given in Sect.
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