Sentence examples for convergent condition from inspiring English sources

Study 2 compared a convergent condition to one with converging roles that also reduced the salience of the majority's numerical advantage.

Thus, the convergent condition (tilde{rho}_{1} < 1) in Corollary 1 holds if the probabilities satisfy (0 le bar{alpha} < 1 and (0 le bar{omega} < frac{4}{19}), respectively.

In the case when (L_{p_{0}} = L_{d_{0}} = 0), the proposed rectifying feedback-based scheme (6) degenerates to the rectifying first-order scheme (4), with the result that the convergent condition becomes (rho_{1} < 1) and the upper bound of the output error is (frac{Delta_{1}}{1 - rho_{1}}).

Therefore, it is possible that the convergent condition (tilde{rho}_{1} < 1) is guaranteed if the proportional learning gain Γ is properly chosen and the dropout probability of the input data is constrained as (bar{omega} < 1 - | B |_{1}| C |_{1} (| CB | + | B |_{1}| C |_{1})^{ - 1}(1 - | A |_{1})^{ - 1}), which implies that input data may not drop with higher frequency.

The convergent conditions of the nonlinear MHSS-like iteration method are obtained by using a smoothing approximate function.

It is testified that the convergent conditions for three groups of probabilities in Corollary 1 are (tilde{rho}_{1}(mathrm{P}_{1}) = frac{79}{95} < 1), (tilde{rho}_{1}(mathrm{P}_{2}) = frac{2text207}{2text375} < 1) and (tilde{rho}_{1}(mathrm{P}_{3}) = frac{2text363}{2text375} < 1), respectively, which implies that the convergent conditions are satisfied.

To overcome this disadvantage and improve the convergence of the Picard-HSS iteration method, the nonlinear HSS-like iteration method in [18] has been presented and its convergent conditions are established.

It is not difficult to test that the convergent conditions in Theorem 2 for those three groups of probabilities are (rho_{2}(mathrm{P}_{1}) = 0.7 < 1), (rho_{2}(mathrm{P}_{2}) = 0.856 < 1) and (rho_{2}(mathrm{P}_{3}) = 0.964 < 1), respectively.

extended Kalman filter (EKF) [14] is used to estimate phase noise by linearizing first order digital phase locked loop (DPLL), in which, however, the non-convergent condition happens sometimes.

In addition, u t ( x, t ) is continuous in D ¯ because the majorizing sum of ∑ k = 1 ∞ ∂ ∂ t is absolutely convergent under conditions (A2 2 and (A3 3.

It is shown that the solution is also globally stable and exponentially convergent under the condition.