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In the near field, analytical series solutions are found by the Hamiltonian formulation.
In line with the theoretical prediction, analytical series solutions developed in this paper indicate that C0 model is more accurate than the C1 model in the analysis of composite beams.
Analytical series solution for the contribution of the chemical reaction to the transport process is obtained using the technique of perturbation analysis; criteria for the validity of various terms in the series solution are presented.
Analytical series solutions for velocity and flow rate are presented with the help of an integral transform.
Working solutions 0.1 mg · mL-1 of each standard were made in 0.1% ammonium formate in 10% acetonitrile (buffered at pH 5.5) and from this, the calibration standards dilutions between 5 μg · mL-1 and 0.005 μg · mL-1 were freshly prepared before each analytical series.
All analyses have been run within one analytical series.
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In this paper, an alternative analytical power series solution technique is presented in which the differential equation is recast in polynomial form.
A good guide to the work published is found in the comprehensive monographs in its analytical profile series [5] It was also determined in biological fluids and dosage forms by GC [6 8] MS,GC [9] and HPLC methods [10 13].
Funding was received from ICF International/USAID as part of the DHS analytical reports series.
The correctness of analytical results and series convergence behavior have been conclusively investigated through numerical tests comparing reference complex solutions with truncated series representations.
An analytical modified Fourier series method (MFSM) is developed for the vibrational analysis of the TSDTB model.
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