Sentence examples for solved subject from inspiring English sources

and the above ordinary differential equations must be solved subject to the boundary conditions (23).

Equation (3) must be solved subject to the initial conditions (2a) and simply supported boundary conditions (2b - 2c).

The resulting non-dimensionalized two-point boundary value problem is solved subject to physically realistic boundary conditions with the Nactsheim-Swigert shooting scheme [[28]].

This set of nonlinear elliptical governing equations has been solved subject to the following boundary conditions: At the tube inlet (Z = 0): (21).

The problem of maximizing the achievable rates under a specific situation is solved subject to a combination of constraints according to Table 1.

The equations (23)–(26) are solved subject to stress-free, isothermal, iso-nanoconcentration boundary conditions: begin{array}rcl@ psi = frac{partial^{2}psi}{partial z^{2}} = T_{f} = T_{p} = phi = 0 rm{at} z=0,1 end{array} (27).

In addition, we obtained preliminary data showing that students' ability to solve subject-specific problems in a pre/posttest scenario was improved; however, due to the subject-specific problem administered, this study lacked a control group (Klegeris and Hurren, 2011).

The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a versatile, implicit finite-difference Keller box technique.

From this it follows that the interface is in general comprised of alternating contact and gap regions, and the system being solved is subject to nonlinear physical constraints.

The inverse displacement problem of the mechanism is solved numerically subject to constraints on the cable tensions and restrictions on cable drooping.

For the sake of completeness, we now turn to the general case where the parameter values are unrestricted, which requires the model equations (4) to be solved numerically, subject to the boundary and initial conditions (5 - 6).