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The entire spectrum of solid carbonaceous materials like coals, lignite, all types of biomass material, and char to residue-derived fuels have been considered in derivation of present correlation which is given as below: HHV=0.3536FC+0.1559VM−0.0078ASH (MJ/kg) (where FC 1.0 91.5% fixed carbon, VM 0.92 90.6% volatile matter and Ash 0.12 77.7% ash content in wt% on a dry basis).
For fractional derivatives of Riemann-Liouville, Caputo, Liouville, and Marchaud, the integration by parts, which should be used in derivation of the Euler-Lagrange equations from variational principle, transforms the left-sided derivatives into the right-sided and vice versa.
This approach has been used also in derivation of the family of generalized PImDn-1controllers.
The variation of the specific fuel consumption with Mach number is also considered in derivation of the approximate solutions.
More precisely, Jensen׳s integral inequality together with Wirtinger-based inequality is used in derivation of the main result.
Here we correct some mistake in derivation of non-polynomial spline, boundary formulas, truncation errors, convergence analysis and computational experiments.
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Actually this method is a way of achieving compromise in minimizing the sum in derivations of the ideal solutions from the respective objective functions.
(19) An in-depth derivation of the distance dependence of nanoparticle sensitivity to local refractive index is available.
Unfortunately, some critical mistakes have been made in the derivation of order conditions in that paper.
In the derivation of the GDI in (103), we require no special assumptions on ( P_{sto} (t) ).
This principle is used implicitly on several occasions in the derivation of Hume's Principle in Gl.
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