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Many practical problems can be solved directly with standard reduction potentials.
However, by performing a functional transformation, the original non-homogeneous partial differential equation governing the physical problem can be cast into a new form with homogeneous boundary conditions such that it can be solved directly with the solution structure theorems.
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In order to have a robust and efficient method, equations for the Lagrange multipliers are solved directly with an influence matrix technique.
The denominator of T A_Delay(s) contains a nonlinear element (e^{{ - 1.5sT_{text{s}} }}), a transcendental function with open-loop poles that cannot be solved directly in the s-domain.
Moreover, microbubble-based contrast agents allow diagnostic problems to be solved directly in the US unit, without employing other imaging techniques, with a consequent reduction in the waiting and hospital time for the patient.
Therefore, it is important to find systems of differential equations with delay such that this problem can be solved directly.
The problem was too complex to be solved directly, and it was necessary to introduce approximations.
P1 is not easy to be solved directly.
However, it can be solved directly in primal formulation.
Compared with the traditional methods, not only is the designed controller more general but also the established results are fault free and could be solved directly.
Due to the large size of Ω, SCP cannot be solved directly.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com