Sentence examples for by first approximating the from inspiring English sources

These non-linearities are made susceptible to analysis by first approximating the full equation by one in which the most significant non-linear term is retained.

Such property, desired in reliable simulations of MHD equations, is achieved by first approximating the normal component of the magnetic field through discretizing induction equations on the mesh skeleton, namely, the element interfaces.

We achieved this by first approximating the neural master equation by a corresponding neural Langevin equation.

The delay-based versions of Log rule and MaxWeight can also be computed by first approximating those as queue-based rules like this: let, that is, the average arrival rate over the wait time of the head of line packet.

When positivity of the minimizer is not available, then one can obtain the same optimality conditions by first approximating (nu ) with strictly positive densities, and then passing to the limit.11.

We simplify the exponent term in the right side of (14) by first approximating U ¯ n ( z ) over H N ( x ) by U ¯ n ( x ).

We first approximate the optimal MDDT by a proper transform matrix that can be implemented with butterfly-style operation.

To this end, we first approximate the nonlinear systems by a set of Takagi Sugeno (T S) fuzzy models.

The solution is first approximated by a summation of EBFs and then completed by satisfying the time dependent boundary conditions as well as the initial conditions through a collocation method.

The subproblems are first approximated by an adaptive piece-wise linearization scheme that provides lower bounds, and the MILP is further relaxed to an LP to improve solution efficiency while providing a valid lower bound.

Here, the shape of the PC and the posterior IOL surface was first approximated by a Bézier spline, [ 19] i.e., a series of cubic Bézier curves joined end-to-end in control points.