Sentence examples for based on the solutions to from inspiring English sources

Based on the solutions to a one-step master equation, Erdmann and Schwarz demonstrated that clusters below a critical size behave like a single molecular bond with a finite lifetime while those above the critical size survive over a much prolonged lifetime due to the cooperative effect of clustering.

Micro-electro-mechanical systems (MEMS) have traditionally been optimized manually based on the solutions to dynamic equations and intuition.

Based on the solutions to the LMIs, an algorithm for the gain matrices of LPV filter is presented.

A sufficient condition is established to guarantee the existence of the resilient state estimator and the explicit expression of the desired estimator gain is given based on the solutions to some matrix inequalities.

Based on the solutions to the proposed analytic model, closed-form expressions of channel throughput, transmission delay, and packet reception rates are derived.

Thus, the complexity order is O ( N ). Figure 3 illustrates the average sum-rate per dimension performance of the non-optimized design proposed by Choi et al. in [6] and the optimized designs W-MMSE and W-ZF, which represent the designs based on the solutions to the problems given in (14) and (18), where we optimize the precoding subspaces of the IA scheme assuming an MMSE and a ZF, respectively.

The electrolyte tracer method, based on the solution to the governing partial differential equation of solute transport in water flow under a pulse boundary condition, the Pulse Boundary Model, was suggested to measure the velocity of water flow within a gravel layer.

Our approach is based on the solution to a parametric discrete-time periodic Lyapunov equation.

Computing waves and limiters based on the solution to these Riemann problems gives high-resolution results.

The model is based on the solution to a moving strip heat source over a finite size sheet.

The schemes are based on the solution to a local Riemann-type problem that uses d'Alembert's exact solution.