Sentence examples for be solved to yield from inspiring English sources

Since in an integral domain a·b = 0 implies that either a = 0 or b = 0, the simpler equations x − 2 = 0 and x + 1 = 0 can be solved to yield the two solutions x = 2 and x = −1 of the original equation.

The resulting fuzzy bi-level programming model may then be solved to yield a "satisficing" solution that reflects a reasonable compromise between the EIP authority's desire to minimize fresh water usage, and the participating companies' desire to minimize costs.

The Riccati equations of these two cases ((2b' + b^{2} = 0) and (2b' + b^{2} + 1/x^{2} = 0), respectively) can both be solved to yield the general solutions for (b(x)) that lead to the above special criteria, but the particular solutions (71) and (73) given here seem to be the most relevant (b(x -forms for the equations of mathematical physics.

Thus, in practice, the SVD reparameterized model can be solved to yield the estimate of the hyperparameters in a very efficient manner using the much smaller matrix form.

These equations can then be solved to yield the frequency of escape (mutant) virus as a function of time since the start of infection [ 95, 99].

The equation can be solved to yield a value of approximately 330 for R S/L, indicating that for every particle in the large mode there are approximately 330 particles in the small mode.

These equations are solved to yield the displacement, angular velocity and acceleration properties of motion parts with different structural parameters.

In the second stage, a mixed-integer linear program is solved to yield minimum-utility cost networks in which the number of mass-exchanger units is minimized.

These equations are solved to yield the wave propagation coefficients and this produces a solution to the displacement field in all three dimensions.

First, for problem (P) with no equality constraints, i.e., (I^{ell }=emptyset ), in 1987, Panier et al. [22] presented a QP-free algorithm denoted by PTH, at iterate k, two SLEs are solved to yield a master search direction.

Then, using the mass conservation principal and the kinetic database, an ordinary differential equation is solved to yield the pressure evolution along the pump and the pump characteristic quantities of practical interest.