Sentence examples for solution of a direct from inspiring English sources
A typical design problem at each optimization iteration involves simultaneous solution of a direct problem and a number of sensitivity problems corresponding to each of the design variables.
Results of a solution of an inverse problem in the automized condition are transmitted in the capacity of input data for a solution of a direct problem on the basis of which solution the tentative estimation of a design solution becomes.
The optimization scheme minimizes the discrepancy ∥θm x,t)−θ x,t qo)∥L2 ΓI×[0,tmax]) between the temperature θ x,t qo) calculated from the solution of a direct problem for each flux qo and the desired (or measured) temperature θm x,t) on the boundary ΓI.
The uniqueness of solution is often a direct consequence of the continuous dependence on parameters.
An existence of weak solutions of all direct problems are derived in appropriate Sobolev spaces, by using monotone potential operator theory.
For sulphur dioxide the electrodic process is non-reversible and is not controlled by diffusion; the dielectric constant and viscosity of solutions have a direct and reverse effect, respectively, on the limiting current.
Conversely, if is a solution of (2.3), direct differentiation of (2.3) implies that, for, (2.15).
Meanwhile, it is important to point out that the proof of the properties of the solution is not a direct generalization for systems without Lévy noise and some new techniques are devised to deal with the difficulties due to Lévy noise.
The measured temperatures are simulated by the solution of the direct problem, in which a modified zonal method is employed to solve the radiative transfer equation, and the Edwards exponential wide-band model together with the Leckner series is adopted to obtain the radiative property of the non-gray medium.
In Section 2, we give a representation of the solution of the direct problem using the Laplace transform.
The solution of its direct kinematic is computed with a numerical method based on the Newton Raphson formulation and a constraint function of the mechanism.
