Sentence examples for characteristic variances from inspiring English sources

If the characteristic variances (nu_{[n]}^) are sufficiently large to make the network an integrator, then they will remain sufficiently large even in the face of such perturbations.

But if many characteristic variances are large, then all synapse strengths remain biophysically reasonable, and many neurons participate in integration, as might be expected in a true biological integrator network.

As discussed before, the system acts as an integrator on short time scales when g̅ is close to 1; thus, if any one or more of the characteristic variances (nu_{[n]}^) are sufficiently large, then at a fixed point of the combined control system, the mean network firing rate acts as an integrator on short time scales.

In particular, we show that if the neurons in such a network have target firing rates that set at least one of the characteristic variances sufficiently high, then when the combined control system reaches a fixed point, the network behaves like an integrator on short time scales.

The larger the characteristic variance, the closer (g^) will be to unity.

So, if target firing rates are chosen to make the characteristic variance (nu^) sufficiently large, then an integrator achieved in this way is robust to variation in characteristic variance (nu^) (and unaffected by variation in (mu^)).

However, if many neurons have high characteristic variance, then no individual neuron will dominate the feedback signal.

Suppose that target firing rates are set such that each neuron n has characteristic variance (nu_{[n]}^).

If this large variance is the characteristic variance of the control system, then there is a fixed point of the dual control system at this value of g.

Under Theorem 1, a fixed point only exists if control system parameters are chosen to establish a characteristic variance of (nu^ > frac{eta^{2}}{2tau_{r}}).

(D) Note that, due to intrinsic noise, the firing rate variance everywhere in parameter space is larger than the characteristic variance reached at equilibrium in B. Thus, the characteristic variance of this system at equilibrium is unreachable, and dual homeostasis does not converge.