Sentence examples for instead of solving for from inspiring English sources

The idea is to solve for an action dependent value function Q x,u,w) of the zero-sum game instead of solving for the state dependent value function V x) which satisfies a corresponding game algebraic Riccati equation (GARE).

Our approach differs from traditional visual odometry methods by applying 2D scene and motion constraints at the lowest level instead of solving for the 3D pose change.

Thus, instead of solving for Eqs. 4 and 5, we estimate Eq. 7 below: H= Fleft {P}_Y,{P}_S,boldsymbol{W},boldsymbol{K},boldsymbol{Z}right) (7).

This procedure is similar to simple 3D limit-equilibrium methods (methods which neglect internal forces); however, instead of solving for a factor of safety, the method solves for translational and angular accelerations.

Instead of solving for the optimal solution of the above integer knapsack problem (30), which is in principle NP-hard, we utilize a greedy algorithm (GA) in order to obtain an approximate solution.

Instead of solving for the two hyperbolas, Newton constructs their directrix lines instead.

The only difference is in the solution procedure where intermediate dependent variables, in the form of average displacements at the interfaces, are used instead of directly solving for the unknown micro-variables; the coefficients of the displacement polynomials.

(ii)  In this study, the fuzzy approximation method in (21) or (22) is only employed to simplify the analysis and design procedure via solving P>0 for LMIs in (23) instead of solving V e) > 0 for HJI in (16) directly.

Since the number of stations is limited, we assumed several candidate source mechanisms (Nakano and Kumagai 2005) instead of independently solving for all six moment tensor components.

Instead of solving the eigenvalue problem for each frequency separately, an eigenpath analysis is presented in order to track dispersion curves through the frequency band of interest.

Instead of solving the Helmholtz equation for evaluation of the sound power, advantage is taken of the fact that the surface of the laminated plate is flat, which implies that Rayleigh's integral approximation can be used to evaluate the sound power radiated from the surface of the plate.