Sentence examples for derived in the case of from inspiring English sources

Similar results involving imperfectly correlated records can be derived in the case of mixed states (Halliwell 1999).

Similar conclusion can also be derived in the case of the initial value of ℜ equal or greater than zero.

This algorithm is first derived in the case of a symbol asynchronous channel with time-invariant carrier phases.

However, all the proposed steps can be straightforwardly derived in the case of a non-zero mean transmission channel.

An exact expression for the bit error rate (BER) is derived in the case of BPSK signaling.

The approximate analytical solutions in the vicinity of Hopf bifurcations are derived in the case of primary resonance.

Analytical solutions to the integral equations for infinite horizons are derived in the cases of constant and exponentially distributed inputs.

An energy estimate associated with the stability of the scheme is derived in the case where one of the coupling parameters, β, is equal to zero.

Then the minimal energy auxiliary signal is derived in the case with worst cases of uncertainties by adopting a geometric method, such that desired fault detection performance can be guaranteed.

The second part of this work is concerned with the investigation of the causality information that can be derived in the case when a very large number of voxels are considered as potential sources.

It is derived in the special case of constant potential vorticity and buoyancy frequency.