Sentence examples for by introducing the derived from inspiring English sources

By introducing the derived approximate limit state function, the failure probability can be easily calculated, practically when the limit state functions are not explicitly known.

We extend the latter model, by introducing the fading probability, to derive the saturation throughput for our proposed MAC when the simplest beamforming strategy is used in real multipath fading ad hoc networks.

The method is based on the complete development of the modal analysis by introducing the modulated coordinates to derive the equivalent infinite-order time-invariant Hill's matrix equation from the finite-order time-varying matrix equation.

Non-linear coupled equations of motion are derived by introducing the constitutive relations into Hamilton's Principle.

Expressions for the work output and efficiency of the cycle are derived by introducing the pressure ratio and the compression and expansion efficiencies.

The singularity orders and characteristic angular functions can be derived by introducing the interpolating matrix method to solve the established characteristic equations.

Expressions for the power output and efficiency of the fuel cell are derived by introducing the equivalent internal and leakage resistances.

The objective function is defined as an integral function along the boundaries, and the adjoint equations and the boundary conditions are derived by introducing the adjoint variable vectors.

The power output and efficiency of the cycle are derived by introducing the pressure ratio and the compression and expansion efficiencies.

Expressions for the power output and efficiency of the cycle are derived by introducing the pressure ratio and the compression and expansion efficiencies.

Explicit algorithms for estimating moment statistics of arbitrary order are derived, by introducing the generalized difference equation of Fokker-Planck type for the probability distribution function.